{
  "problem_id": "auto_problem_096",
  "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 96)\n\nINITIAL STRUCTURE:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nLOADING:\n  Joint J6: Force=(0, -68967, 0) N\n  Joint J7: Force=(0, -50137, 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: 283.28 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": 3479,
  "max_depth": 8,
  "nodes": {
    "node_0": {
      "node_id": "node_0",
      "content": "INITIAL DESIGN (Trace 0)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.75 kg\n  Factor of Safety: 0.05\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": 238.74893747790705,
      "fos_buckling": 0.049060668696589635,
      "fos_yielding": 0.6481227274824259,
      "deflection": 0.018348479796855947,
      "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 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n  Mass: 244.85 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.85450255037148,
      "fos_buckling": 0.9262937240651712,
      "fos_yielding": 1.8495222588625737,
      "deflection": 0.0048952791511904506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002611)"
      },
      "parent_node_id": "node_0",
      "improvement_over_parent": null
    },
    "node_2": {
      "node_id": "node_2",
      "content": "MODIFICATION: Increase 14 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n  Mass: 247.87 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.86886797581968,
      "fos_buckling": 0.9260557458695714,
      "fos_yielding": 1.8609745767187749,
      "deflection": 0.004915503177003115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.534)"
      },
      "parent_node_id": "node_1",
      "improvement_over_parent": null
    },
    "node_3": {
      "node_id": "node_3",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 252.59 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.29e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.58568722518126,
      "fos_buckling": 1.0741841117624076,
      "fos_yielding": 1.8439891866927667,
      "deflection": 0.004289824274947139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2",
      "improvement_over_parent": null
    },
    "node_4": {
      "node_id": "node_4",
      "content": "MODIFICATION: Increase 5 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0065)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.16 kg\n  Factor of Safety: 1.06\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.15876815686937,
      "fos_buckling": 1.0561901318343672,
      "fos_yielding": 1.8478330859920233,
      "deflection": 0.00416040062088382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.621)"
      },
      "parent_node_id": "node_3",
      "improvement_over_parent": null
    },
    "node_5": {
      "node_id": "node_5",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_4",
      "improvement_over_parent": null
    },
    "node_6": {
      "node_id": "node_6",
      "content": "INITIAL DESIGN (Trace 1)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 134.94 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.17e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.937724166071,
      "fos_buckling": 0.052878175203589055,
      "fos_yielding": 0.6520116957620424,
      "deflection": 11717429515792.205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_7": {
      "node_id": "node_7",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n  Mass: 147.60 kg\n  Factor of Safety: 0.29\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": 147.59648268195855,
      "fos_buckling": 0.2948384279886458,
      "fos_yielding": 0.6860527780494335,
      "deflection": 0.019885583243296055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002784)"
      },
      "parent_node_id": "node_6",
      "improvement_over_parent": null
    },
    "node_8": {
      "node_id": "node_8",
      "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n  Mass: 149.18 kg\n  Factor of Safety: 0.29\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": 149.183991791574,
      "fos_buckling": 0.2947980560331011,
      "fos_yielding": 0.8969694569483172,
      "deflection": 0.018771859007469166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.429)"
      },
      "parent_node_id": "node_7",
      "improvement_over_parent": null
    },
    "node_9": {
      "node_id": "node_9",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n  Mass: 183.29 kg\n  Factor of Safety: 0.35\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": 183.2925401507298,
      "fos_buckling": 0.353135435249424,
      "fos_yielding": 1.0995297285613341,
      "deflection": 0.01530861464930926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_8",
      "improvement_over_parent": null
    },
    "node_10": {
      "node_id": "node_10",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 221.98 kg\n  Factor of Safety: 0.42\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": 221.97727323629567,
      "fos_buckling": 0.4152655215081,
      "fos_yielding": 1.3281406554635642,
      "deflection": 0.012668591313876904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_9",
      "improvement_over_parent": null
    },
    "node_11": {
      "node_id": "node_11",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 223.70 kg\n  Factor of Safety: 0.42\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": 223.69788927338791,
      "fos_buckling": 0.415183670211511,
      "fos_yielding": 1.3278796486075324,
      "deflection": 0.012348369159178797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.258)"
      },
      "parent_node_id": "node_10",
      "improvement_over_parent": null
    },
    "node_12": {
      "node_id": "node_12",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 249.34 kg\n  Factor of Safety: 0.45\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": 249.34184540828844,
      "fos_buckling": 0.4537367856398871,
      "fos_yielding": 1.477654321941847,
      "deflection": 0.011096732277967016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_11",
      "improvement_over_parent": null
    },
    "node_13": {
      "node_id": "node_13",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.978708935942,
      "fos_buckling": 1.543062312550584,
      "fos_yielding": 2.6540912602609943,
      "deflection": 0.0039533225600590655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_12",
      "improvement_over_parent": null
    },
    "node_14": {
      "node_id": "node_14",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_13",
      "improvement_over_parent": null
    },
    "node_15": {
      "node_id": "node_15",
      "content": "INITIAL DESIGN (Trace 2)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 210.32 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.31528104741406,
      "fos_buckling": 0.6772085488512305,
      "fos_yielding": 2.3922252747375983,
      "deflection": 0.006077626625059721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_16": {
      "node_id": "node_16",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 224.06 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.06474951360147,
      "fos_buckling": 0.6764125362554733,
      "fos_yielding": 2.3893989193907874,
      "deflection": 0.005735060545849564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_15",
      "improvement_over_parent": null
    },
    "node_17": {
      "node_id": "node_17",
      "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n\nPerformance:\n  Mass: 226.97 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.96881496480628,
      "fos_buckling": 0.6762446474111978,
      "fos_yielding": 2.3888028106625825,
      "deflection": 0.005723406525943862,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.238)"
      },
      "parent_node_id": "node_16",
      "improvement_over_parent": null
    },
    "node_18": {
      "node_id": "node_18",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 230.99 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.9949701900152,
      "fos_buckling": 0.6761670893256861,
      "fos_yielding": 2.3885274322378782,
      "deflection": 0.0052443173831599535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002417)"
      },
      "parent_node_id": "node_17",
      "improvement_over_parent": null
    },
    "node_19": {
      "node_id": "node_19",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 245.02 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.01951056523032,
      "fos_buckling": 1.2757017752802353,
      "fos_yielding": 2.631786444047487,
      "deflection": 0.0040983980932188975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003377)"
      },
      "parent_node_id": "node_18",
      "improvement_over_parent": null
    },
    "node_20": {
      "node_id": "node_20",
      "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 247.28 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.27899242837864,
      "fos_buckling": 1.27198914972097,
      "fos_yielding": 2.6477596284158897,
      "deflection": 0.00402526515049825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.267)"
      },
      "parent_node_id": "node_19",
      "improvement_over_parent": null
    },
    "node_21": {
      "node_id": "node_21",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 253.92 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.92159265719798,
      "fos_buckling": 1.4207268686949204,
      "fos_yielding": 2.662419322174704,
      "deflection": 0.003944733196790381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_20",
      "improvement_over_parent": null
    },
    "node_22": {
      "node_id": "node_22",
      "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0054)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 258.36 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.36034229501007,
      "fos_buckling": 1.419069882157442,
      "fos_yielding": 2.6488854275822953,
      "deflection": 0.003914638257530218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.314)"
      },
      "parent_node_id": "node_21",
      "improvement_over_parent": null
    },
    "node_23": {
      "node_id": "node_23",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_22",
      "improvement_over_parent": null
    },
    "node_24": {
      "node_id": "node_24",
      "content": "INITIAL DESIGN (Trace 3)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 140.42 kg\n  Factor of Safety: 0.37\n  Max Deflection: 9.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.41837766941572,
      "fos_buckling": 0.36611381494895184,
      "fos_yielding": 1.5704328408557433,
      "deflection": 0.009144656319081249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_25": {
      "node_id": "node_25",
      "content": "MODIFICATION: Increase 12 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 143.79 kg\n  Factor of Safety: 0.37\n  Max Deflection: 8.93e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.7935979801547,
      "fos_buckling": 0.3660961928566899,
      "fos_yielding": 1.5703572514863102,
      "deflection": 0.008930832449310967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.192)"
      },
      "parent_node_id": "node_24",
      "improvement_over_parent": null
    },
    "node_26": {
      "node_id": "node_26",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n  Mass: 158.25 kg\n  Factor of Safety: 0.70\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.2500587614473,
      "fos_buckling": 0.7029985026149632,
      "fos_yielding": 1.6810238361630543,
      "deflection": 0.006696037528252778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003204)"
      },
      "parent_node_id": "node_25",
      "improvement_over_parent": null
    },
    "node_27": {
      "node_id": "node_27",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n  Mass: 159.93 kg\n  Factor of Safety: 0.84\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.93418294796456,
      "fos_buckling": 0.8445930601546138,
      "fos_yielding": 1.680844342885331,
      "deflection": 0.006586123263736601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.344)"
      },
      "parent_node_id": "node_26",
      "improvement_over_parent": null
    },
    "node_28": {
      "node_id": "node_28",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n  Mass: 164.52 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.51831941718092,
      "fos_buckling": 0.8505470091942923,
      "fos_yielding": 1.6806001167509783,
      "deflection": 0.006464038298261392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002002)"
      },
      "parent_node_id": "node_27",
      "improvement_over_parent": null
    },
    "node_29": {
      "node_id": "node_29",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 177.69 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.71e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.6872390689846,
      "fos_buckling": 1.126316575399439,
      "fos_yielding": 1.8345999527898518,
      "deflection": 0.0057129333098001065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003058)"
      },
      "parent_node_id": "node_28",
      "improvement_over_parent": null
    },
    "node_30": {
      "node_id": "node_30",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n  Mass: 208.42 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.41966031010764,
      "fos_buckling": 1.2925901219171883,
      "fos_yielding": 2.148885792698452,
      "deflection": 0.004879192019170934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.39598899658523,
      "fos_buckling": 1.5403603179867367,
      "fos_yielding": 2.647922777138253,
      "deflection": 0.003961968371436955,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_30",
      "improvement_over_parent": null
    },
    "node_32": {
      "node_id": "node_32",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_31",
      "improvement_over_parent": null
    },
    "node_33": {
      "node_id": "node_33",
      "content": "INITIAL DESIGN (Trace 4)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 159.61 kg\n  Factor of Safety: 0.92\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.61434157271833,
      "fos_buckling": 0.918316991213873,
      "fos_yielding": 1.673203746477835,
      "deflection": 0.006345485159822414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_34": {
      "node_id": "node_34",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 197.63 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.62757601406412,
      "fos_buckling": 1.1154297063118466,
      "fos_yielding": 2.0677699979579267,
      "deflection": 0.005135903080908591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_33",
      "improvement_over_parent": null
    },
    "node_35": {
      "node_id": "node_35",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.34 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.34270509378098,
      "fos_buckling": 1.3891338533623785,
      "fos_yielding": 2.643332425347217,
      "deflection": 0.004018953816460303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_34",
      "improvement_over_parent": null
    },
    "node_36": {
      "node_id": "node_36",
      "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3402977322365,
      "fos_buckling": 1.5398799041705988,
      "fos_yielding": 2.6473869013904547,
      "deflection": 0.003962795934533185,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.259)"
      },
      "parent_node_id": "node_35",
      "improvement_over_parent": null
    },
    "node_37": {
      "node_id": "node_37",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_36",
      "improvement_over_parent": null
    },
    "node_38": {
      "node_id": "node_38",
      "content": "INITIAL DESIGN (Trace 5)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 201.78 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.77989504551059,
      "fos_buckling": 1.2584359119669037,
      "fos_yielding": 2.125732254424025,
      "deflection": 0.004987631338770382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_39": {
      "node_id": "node_39",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.86 kg\n  Factor of Safety: 1.52\n  Max Deflection: 4.01e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 251.86293849422546,
      "fos_buckling": 1.5167314346940268,
      "fos_yielding": 2.6463391301251398,
      "deflection": 0.0040078638917095235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_38",
      "improvement_over_parent": null
    },
    "node_40": {
      "node_id": "node_40",
      "content": "MODIFICATION: Increase 11 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.99 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.98978173936504,
      "fos_buckling": 1.524091450035704,
      "fos_yielding": 2.648804271890605,
      "deflection": 0.003993062529476619,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.517)"
      },
      "parent_node_id": "node_39",
      "improvement_over_parent": null
    },
    "node_41": {
      "node_id": "node_41",
      "content": "MODIFICATION: Increase 19 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55071284491834,
      "fos_buckling": 1.5409804795363988,
      "fos_yielding": 2.649680593254716,
      "deflection": 0.003959493508094056,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.271)"
      },
      "parent_node_id": "node_40",
      "improvement_over_parent": null
    },
    "node_42": {
      "node_id": "node_42",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_41",
      "improvement_over_parent": null
    },
    "node_43": {
      "node_id": "node_43",
      "content": "INITIAL DESIGN (Trace 6)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 187.54 kg\n  Factor of Safety: 1.19\n  Max Deflection: 5.37e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.54498487621046,
      "fos_buckling": 1.1851531205248043,
      "fos_yielding": 1.9533035202114197,
      "deflection": 0.005371463876707203,
      "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 16 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 188.66 kg\n  Factor of Safety: 1.19\n  Max Deflection: 5.38e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.66198760835212,
      "fos_buckling": 1.1864955973371076,
      "fos_yielding": 1.9470025993283147,
      "deflection": 0.005383950828659619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.323)"
      },
      "parent_node_id": "node_43",
      "improvement_over_parent": null
    },
    "node_45": {
      "node_id": "node_45",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 228.16 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.16376935154003,
      "fos_buckling": 1.3948414937264662,
      "fos_yielding": 2.3504145131515486,
      "deflection": 0.004461996817444897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_44",
      "improvement_over_parent": null
    },
    "node_46": {
      "node_id": "node_46",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.23871420520953,
      "fos_buckling": 1.5394173511095446,
      "fos_yielding": 2.6464134601584317,
      "deflection": 0.003964306101354753,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_45",
      "improvement_over_parent": null
    },
    "node_47": {
      "node_id": "node_47",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_46",
      "improvement_over_parent": null
    },
    "node_48": {
      "node_id": "node_48",
      "content": "INITIAL DESIGN (Trace 7)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.41 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.414874307176,
      "fos_buckling": 0.4532491031845868,
      "fos_yielding": 1.4755708444433209,
      "deflection": 0.011607449451735795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_49": {
      "node_id": "node_49",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 246.42 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.41810091584233,
      "fos_buckling": 0.45318422900502264,
      "fos_yielding": 1.475360340833487,
      "deflection": 0.01121831488166237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_48",
      "improvement_over_parent": null
    },
    "node_50": {
      "node_id": "node_50",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 255.05 kg\n  Factor of Safety: 1.49\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.0549644434959,
      "fos_buckling": 1.4932624330530186,
      "fos_yielding": 2.6644856834918222,
      "deflection": 0.003943721177407134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_49",
      "improvement_over_parent": null
    },
    "node_51": {
      "node_id": "node_51",
      "content": "MODIFICATION: Increase 16 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0080)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 266.86 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.85e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 266.8638861585356,
      "fos_buckling": 1.535689888837952,
      "fos_yielding": 2.6688051032277573,
      "deflection": 0.0038493508383473877,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.664)"
      },
      "parent_node_id": "node_50",
      "improvement_over_parent": null
    },
    "node_52": {
      "node_id": "node_52",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_51",
      "improvement_over_parent": null
    },
    "node_53": {
      "node_id": "node_53",
      "content": "INITIAL DESIGN (Trace 8)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 198.25 kg\n  Factor of Safety: 0.09\n  Max Deflection: 1.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.25093157548358,
      "fos_buckling": 0.09001391408815275,
      "fos_yielding": 1.1891412216775947,
      "deflection": 0.01261102291063372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_54": {
      "node_id": "node_54",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 206.53 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.34e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.5255865486882,
      "fos_buckling": 0.5388773653618566,
      "fos_yielding": 1.5549422584308403,
      "deflection": 0.006343333968396571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002988)"
      },
      "parent_node_id": "node_53",
      "improvement_over_parent": null
    },
    "node_55": {
      "node_id": "node_55",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 207.85 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.85372830143305,
      "fos_buckling": 0.5388972468645751,
      "fos_yielding": 1.5548769176765016,
      "deflection": 0.006343757178966482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.225)"
      },
      "parent_node_id": "node_54",
      "improvement_over_parent": null
    },
    "node_56": {
      "node_id": "node_56",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 209.39 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.38682400704826,
      "fos_buckling": 0.5446514355389365,
      "fos_yielding": 1.554650688407075,
      "deflection": 0.00630589256831955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.267)"
      },
      "parent_node_id": "node_55",
      "improvement_over_parent": null
    },
    "node_57": {
      "node_id": "node_57",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 230.34 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.32e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.34300801386388,
      "fos_buckling": 0.9262158490465033,
      "fos_yielding": 1.553106263176158,
      "deflection": 0.005319855338651224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_56",
      "improvement_over_parent": null
    },
    "node_58": {
      "node_id": "node_58",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 249.43 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.43275178867134,
      "fos_buckling": 0.9257137109590272,
      "fos_yielding": 2.143654823258851,
      "deflection": 0.004667916382459784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_57",
      "improvement_over_parent": null
    },
    "node_59": {
      "node_id": "node_59",
      "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.44503081515307,
      "fos_buckling": 0.9256345254706259,
      "fos_yielding": 2.6219459687126423,
      "deflection": 0.004579550375544045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.618)"
      },
      "parent_node_id": "node_58",
      "improvement_over_parent": null
    },
    "node_60": {
      "node_id": "node_60",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.16 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.1618500645146,
      "fos_buckling": 1.4710670799309942,
      "fos_yielding": 2.641156025812783,
      "deflection": 0.003981540034615132,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_59",
      "improvement_over_parent": null
    },
    "node_61": {
      "node_id": "node_61",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_60",
      "improvement_over_parent": null
    },
    "node_62": {
      "node_id": "node_62",
      "content": "INITIAL DESIGN (Trace 9)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 158.41 kg\n  Factor of Safety: 0.03\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": 158.40935664765783,
      "fos_buckling": 0.03399142803081361,
      "fos_yielding": 0.4223562545519762,
      "deflection": 0.024567491819017104,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_63": {
      "node_id": "node_63",
      "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 161.07 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.45e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.06638267005553,
      "fos_buckling": 0.03399142803081362,
      "fos_yielding": 0.4223562545519762,
      "deflection": 0.024523862551169326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.645)"
      },
      "parent_node_id": "node_62",
      "improvement_over_parent": null
    },
    "node_64": {
      "node_id": "node_64",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 192.04 kg\n  Factor of Safety: 0.04\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": 192.03512613715435,
      "fos_buckling": 0.039616365244986865,
      "fos_yielding": 0.5029007714944165,
      "deflection": 0.020603085064911375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 199.44 kg\n  Factor of Safety: 1.24\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.44375837257363,
      "fos_buckling": 1.244690529832286,
      "fos_yielding": 2.057206954171144,
      "deflection": 0.00509603956061134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003208)"
      },
      "parent_node_id": "node_64",
      "improvement_over_parent": null
    },
    "node_66": {
      "node_id": "node_66",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.40997574492445,
      "fos_buckling": 1.5402036011793965,
      "fos_yielding": 2.6480931776662495,
      "deflection": 0.003961682496565824,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_65",
      "improvement_over_parent": null
    },
    "node_67": {
      "node_id": "node_67",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_66",
      "improvement_over_parent": null
    },
    "node_68": {
      "node_id": "node_68",
      "content": "INITIAL DESIGN (Trace 10)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 182.73 kg\n  Factor of Safety: 0.51\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.7318966023316,
      "fos_buckling": 0.5057356223695967,
      "fos_yielding": 1.8908770294471433,
      "deflection": 0.006589475278925937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_69": {
      "node_id": "node_69",
      "content": "MODIFICATION: Increase 19 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 187.93 kg\n  Factor of Safety: 0.72\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.9319837031437,
      "fos_buckling": 0.7232440844217619,
      "fos_yielding": 1.9609140994897285,
      "deflection": 0.00613833666703093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.524)"
      },
      "parent_node_id": "node_68",
      "improvement_over_parent": null
    },
    "node_70": {
      "node_id": "node_70",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 220.56 kg\n  Factor of Safety: 0.83\n  Max Deflection: 5.24e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.563249897525,
      "fos_buckling": 0.8278297529330841,
      "fos_yielding": 2.297915152950262,
      "deflection": 0.005240377009071503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_69",
      "improvement_over_parent": null
    },
    "node_71": {
      "node_id": "node_71",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 224.68 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.67886622917297,
      "fos_buckling": 1.3770753422705906,
      "fos_yielding": 2.315005780735664,
      "deflection": 0.004530236554769981,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002561)"
      },
      "parent_node_id": "node_70",
      "improvement_over_parent": null
    },
    "node_72": {
      "node_id": "node_72",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4018104925213,
      "fos_buckling": 1.5402727344119422,
      "fos_yielding": 2.648209371848121,
      "deflection": 0.00396178184046264,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_71",
      "improvement_over_parent": null
    },
    "node_73": {
      "node_id": "node_73",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_72",
      "improvement_over_parent": null
    },
    "node_74": {
      "node_id": "node_74",
      "content": "INITIAL DESIGN (Trace 11)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 183.93 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.93460764707163,
      "fos_buckling": 0.6127239964562179,
      "fos_yielding": 2.203379659781517,
      "deflection": 0.005351218586285389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_75": {
      "node_id": "node_75",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 190.90 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.90464396323597,
      "fos_buckling": 0.6124810119775763,
      "fos_yielding": 2.202502906012761,
      "deflection": 0.005785944961702486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002855)"
      },
      "parent_node_id": "node_74",
      "improvement_over_parent": null
    },
    "node_76": {
      "node_id": "node_76",
      "content": "MODIFICATION: Increase 16 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0053)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 195.20 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.20104898670718,
      "fos_buckling": 0.6121069434821258,
      "fos_yielding": 2.201153170255337,
      "deflection": 0.005695754783674326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.256)"
      },
      "parent_node_id": "node_75",
      "improvement_over_parent": null
    },
    "node_77": {
      "node_id": "node_77",
      "content": "MODIFICATION: Increase 16 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 204.57 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.57420327733027,
      "fos_buckling": 0.6112924491151427,
      "fos_yielding": 2.1982142835848215,
      "deflection": 0.005575821525918279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.481)"
      },
      "parent_node_id": "node_76",
      "improvement_over_parent": null
    },
    "node_78": {
      "node_id": "node_78",
      "content": "MODIFICATION: Increase 14 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0056)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0078)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 211.32 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.3241213983368,
      "fos_buckling": 0.6109411927711608,
      "fos_yielding": 2.1969468765329707,
      "deflection": 0.005499813827736072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.634)"
      },
      "parent_node_id": "node_77",
      "improvement_over_parent": null
    },
    "node_79": {
      "node_id": "node_79",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 237.03 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.0271385452298,
      "fos_buckling": 0.6715317542844315,
      "fos_yielding": 2.463769325309204,
      "deflection": 0.004906234814186191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_78",
      "improvement_over_parent": null
    },
    "node_80": {
      "node_id": "node_80",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 258.28 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.28226462712195,
      "fos_buckling": 1.4685952289856417,
      "fos_yielding": 2.7135351500395397,
      "deflection": 0.0038588777466395936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_79",
      "improvement_over_parent": null
    },
    "node_81": {
      "node_id": "node_81",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0089)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 264.84 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.91e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.84105281527155,
      "fos_buckling": 1.4779884621148862,
      "fos_yielding": 2.6546778107572773,
      "deflection": 0.003909708688495513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_80",
      "improvement_over_parent": null
    },
    "node_82": {
      "node_id": "node_82",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_81",
      "improvement_over_parent": null
    },
    "node_83": {
      "node_id": "node_83",
      "content": "INITIAL DESIGN (Trace 12)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 183.32 kg\n  Factor of Safety: 0.16\n  Max Deflection: 4.86e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.32352988076667,
      "fos_buckling": 0.1633874689633473,
      "fos_yielding": 1.2596203959136518,
      "deflection": 4860988287566.679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_84": {
      "node_id": "node_84",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 215.27 kg\n  Factor of Safety: 0.98\n  Max Deflection: 3.53e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.27347225450418,
      "fos_buckling": 0.9785116450761491,
      "fos_yielding": 2.519240791827304,
      "deflection": 3532443360167.0806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_83",
      "improvement_over_parent": null
    },
    "node_85": {
      "node_id": "node_85",
      "content": "MODIFICATION: Increase 10 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 216.68 kg\n  Factor of Safety: 0.72\n  Max Deflection: 4.12e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.6849622994258,
      "fos_buckling": 0.7178261305348855,
      "fos_yielding": 2.5192407918273036,
      "deflection": 4121227318629.6255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.181)"
      },
      "parent_node_id": "node_84",
      "improvement_over_parent": null
    },
    "node_86": {
      "node_id": "node_86",
      "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 218.29 kg\n  Factor of Safety: 0.29\n  Max Deflection: 3.11e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.29020598528982,
      "fos_buckling": 0.2859280706858578,
      "fos_yielding": 3.7772921967854867,
      "deflection": 3112254958561.8267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.202)"
      },
      "parent_node_id": "node_85",
      "improvement_over_parent": null
    },
    "node_87": {
      "node_id": "node_87",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.55 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.54533206718196,
      "fos_buckling": 0.9267158531185038,
      "fos_yielding": 2.6302566464559884,
      "deflection": 0.004577213783540257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_86",
      "improvement_over_parent": null
    },
    "node_88": {
      "node_id": "node_88",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53469663384186,
      "fos_buckling": 1.5408004483808693,
      "fos_yielding": 2.648919001861855,
      "deflection": 0.00395991046154875,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_87",
      "improvement_over_parent": null
    },
    "node_89": {
      "node_id": "node_89",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_88",
      "improvement_over_parent": null
    },
    "node_90": {
      "node_id": "node_90",
      "content": "INITIAL DESIGN (Trace 13)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 195.01 kg\n  Factor of Safety: 0.68\n  Max Deflection: 3.58e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.0123378026493,
      "fos_buckling": 0.676950274875514,
      "fos_yielding": 3.3589877224364044,
      "deflection": 3576372733505.694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_91": {
      "node_id": "node_91",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n  Mass: 200.77 kg\n  Factor of Safety: 0.13\n  Max Deflection: 8.65e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.77132114166724,
      "fos_buckling": 0.12846327921902378,
      "fos_yielding": 0.877583133377299,
      "deflection": 8648305206193.671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002557)"
      },
      "parent_node_id": "node_90",
      "improvement_over_parent": null
    },
    "node_92": {
      "node_id": "node_92",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.86171703900348,
      "fos_buckling": 0.5988027928061577,
      "fos_yielding": 2.144821625217628,
      "deflection": 0.005862076382978109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002544)"
      },
      "parent_node_id": "node_91",
      "improvement_over_parent": null
    },
    "node_93": {
      "node_id": "node_93",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 236.19 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.19139006024892,
      "fos_buckling": 0.6722742833318789,
      "fos_yielding": 2.4667803935895143,
      "deflection": 0.005094914807554742,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_92",
      "improvement_over_parent": null
    },
    "node_94": {
      "node_id": "node_94",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4465161421411,
      "fos_buckling": 1.540381957798807,
      "fos_yielding": 2.6484292823346167,
      "deflection": 0.003961201788002732,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_93",
      "improvement_over_parent": null
    },
    "node_95": {
      "node_id": "node_95",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_94",
      "improvement_over_parent": null
    },
    "node_96": {
      "node_id": "node_96",
      "content": "INITIAL DESIGN (Trace 14)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 147.64 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.47e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.6435713822135,
      "fos_buckling": 0.03488143626625669,
      "fos_yielding": 0.4347922179033813,
      "deflection": 0.024703691298871146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_97": {
      "node_id": "node_97",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 149.36 kg\n  Factor of Safety: 0.03\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": 149.3550220305016,
      "fos_buckling": 0.03487954229021132,
      "fos_yielding": 0.43476860975722764,
      "deflection": 0.02465185713861749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.664)"
      },
      "parent_node_id": "node_96",
      "improvement_over_parent": null
    },
    "node_98": {
      "node_id": "node_98",
      "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 151.69 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.69021770345717,
      "fos_buckling": 0.034874374850162565,
      "fos_yielding": 0.4347041983407214,
      "deflection": 0.023819667267611148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.572)"
      },
      "parent_node_id": "node_97",
      "improvement_over_parent": null
    },
    "node_99": {
      "node_id": "node_99",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n\nPerformance:\n  Mass: 158.08 kg\n  Factor of Safety: 0.48\n  Max Deflection: 7.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.08028037067746,
      "fos_buckling": 0.47732679059250954,
      "fos_yielding": 1.525620226864623,
      "deflection": 0.0076289397601843785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002740)"
      },
      "parent_node_id": "node_98",
      "improvement_over_parent": null
    },
    "node_100": {
      "node_id": "node_100",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 189.57 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.37e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.56726182266047,
      "fos_buckling": 0.5592786650548753,
      "fos_yielding": 1.826628568113285,
      "deflection": 0.006371019180761347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_99",
      "improvement_over_parent": null
    },
    "node_101": {
      "node_id": "node_101",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 206.35 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.3500575835243,
      "fos_buckling": 1.2815591094482623,
      "fos_yielding": 2.127891177520983,
      "deflection": 0.0049275382694896905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003758)"
      },
      "parent_node_id": "node_100",
      "improvement_over_parent": null
    },
    "node_102": {
      "node_id": "node_102",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 231.05 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.0509919449983,
      "fos_buckling": 1.4096040934392648,
      "fos_yielding": 2.3799196894822057,
      "deflection": 0.00440702614061657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_101",
      "improvement_over_parent": null
    },
    "node_103": {
      "node_id": "node_103",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5433299427412,
      "fos_buckling": 1.5409705771297033,
      "fos_yielding": 2.649594781520589,
      "deflection": 0.00395973319764198,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_102",
      "improvement_over_parent": null
    },
    "node_104": {
      "node_id": "node_104",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_103",
      "improvement_over_parent": null
    },
    "node_105": {
      "node_id": "node_105",
      "content": "INITIAL DESIGN (Trace 15)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_106": {
      "node_id": "node_106",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 246.17 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.16907370340343,
      "fos_buckling": 0.6686041312609426,
      "fos_yielding": 2.264370266493837,
      "deflection": 0.005648496090199322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_105",
      "improvement_over_parent": null
    },
    "node_107": {
      "node_id": "node_107",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 250.89 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.885892952765,
      "fos_buckling": 1.325517947613376,
      "fos_yielding": 2.635679396654586,
      "deflection": 0.004035326779416191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_106",
      "improvement_over_parent": null
    },
    "node_108": {
      "node_id": "node_108",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52849318158434,
      "fos_buckling": 1.5408269587209598,
      "fos_yielding": 2.6493666075445885,
      "deflection": 0.003959916059564014,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_107",
      "improvement_over_parent": null
    },
    "node_109": {
      "node_id": "node_109",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_108",
      "improvement_over_parent": null
    },
    "node_110": {
      "node_id": "node_110",
      "content": "INITIAL DESIGN (Trace 16)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 188.57 kg\n  Factor of Safety: 0.36\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": 188.56581769089533,
      "fos_buckling": 0.35938585248510974,
      "fos_yielding": 1.121887791536436,
      "deflection": 0.014616367183157342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_111": {
      "node_id": "node_111",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 224.67 kg\n  Factor of Safety: 0.42\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": 224.67314815862085,
      "fos_buckling": 0.4166933275551568,
      "fos_yielding": 1.3335922742011423,
      "deflection": 0.012296031894424464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_110",
      "improvement_over_parent": null
    },
    "node_112": {
      "node_id": "node_112",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.00 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.00073750934538,
      "fos_buckling": 0.45324553747203833,
      "fos_yielding": 1.4756735889564938,
      "deflection": 0.011112127109521426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_111",
      "improvement_over_parent": null
    },
    "node_113": {
      "node_id": "node_113",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.63760103699894,
      "fos_buckling": 1.5413630091911459,
      "fos_yielding": 2.6505025695182844,
      "deflection": 0.003958376184896104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_112",
      "improvement_over_parent": null
    },
    "node_114": {
      "node_id": "node_114",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_113",
      "improvement_over_parent": null
    },
    "node_115": {
      "node_id": "node_115",
      "content": "INITIAL DESIGN (Trace 17)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 131.88 kg\n  Factor of Safety: 0.06\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": 131.87660633151222,
      "fos_buckling": 0.05928186349946979,
      "fos_yielding": 0.7412939931969543,
      "deflection": 15965080114053.04,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_116": {
      "node_id": "node_116",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n\nPerformance:\n  Mass: 135.12 kg\n  Factor of Safety: 0.07\n  Max Deflection: 3.57e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.11745026940397,
      "fos_buckling": 0.06916217408271476,
      "fos_yielding": 0.31490509897841296,
      "deflection": 35654159362884.78,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001982)"
      },
      "parent_node_id": "node_115",
      "improvement_over_parent": null
    },
    "node_117": {
      "node_id": "node_117",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 170.35 kg\n  Factor of Safety: 0.32\n  Max Deflection: 5.08e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.34710467725805,
      "fos_buckling": 0.31831900323588885,
      "fos_yielding": 1.6459215969079122,
      "deflection": 5075717071935.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_116",
      "improvement_over_parent": null
    },
    "node_118": {
      "node_id": "node_118",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 177.82 kg\n  Factor of Safety: 0.08\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": 177.8233192601947,
      "fos_buckling": 0.07974252275499204,
      "fos_yielding": 1.0285886996158025,
      "deflection": 0.013974840621844557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003436)"
      },
      "parent_node_id": "node_117",
      "improvement_over_parent": null
    },
    "node_119": {
      "node_id": "node_119",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 196.22 kg\n  Factor of Safety: 0.08\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": 196.22203414006222,
      "fos_buckling": 0.07978503283428984,
      "fos_yielding": 1.0291370317436914,
      "deflection": 0.011691684231039704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004116)"
      },
      "parent_node_id": "node_118",
      "improvement_over_parent": null
    },
    "node_120": {
      "node_id": "node_120",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 204.85 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.85477269761424,
      "fos_buckling": 0.5976282767180726,
      "fos_yielding": 1.9717296135276088,
      "deflection": 0.005899740320996674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003128)"
      },
      "parent_node_id": "node_119",
      "improvement_over_parent": null
    },
    "node_121": {
      "node_id": "node_121",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n  Mass: 222.99 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.99490837499135,
      "fos_buckling": 1.3684543182565896,
      "fos_yielding": 2.2978702137480833,
      "deflection": 0.004564122657031128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004087)"
      },
      "parent_node_id": "node_120",
      "improvement_over_parent": null
    },
    "node_122": {
      "node_id": "node_122",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7031751577966,
      "fos_buckling": 1.5417665745671745,
      "fos_yielding": 2.651317317669337,
      "deflection": 0.003957318575799193,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_121",
      "improvement_over_parent": null
    },
    "node_123": {
      "node_id": "node_123",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_122",
      "improvement_over_parent": null
    },
    "node_124": {
      "node_id": "node_124",
      "content": "INITIAL DESIGN (Trace 18)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 194.66 kg\n  Factor of Safety: 0.79\n  Max Deflection: 5.59e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.65733833642363,
      "fos_buckling": 0.7901528160985349,
      "fos_yielding": 2.17627973379824,
      "deflection": 0.005586948990930069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_125": {
      "node_id": "node_125",
      "content": "MODIFICATION: Increase 8 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 197.28 kg\n  Factor of Safety: 0.79\n  Max Deflection: 5.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.28319196395617,
      "fos_buckling": 0.7901528160985349,
      "fos_yielding": 2.171078831874848,
      "deflection": 0.005543504481867423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.416)"
      },
      "parent_node_id": "node_124",
      "improvement_over_parent": null
    },
    "node_126": {
      "node_id": "node_126",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 212.10 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.10270998077488,
      "fos_buckling": 1.3117497494435215,
      "fos_yielding": 2.186639045004777,
      "deflection": 0.004795381443932955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003589)"
      },
      "parent_node_id": "node_125",
      "improvement_over_parent": null
    },
    "node_127": {
      "node_id": "node_127",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4933777053508,
      "fos_buckling": 1.5406027429297524,
      "fos_yielding": 2.6490882291469333,
      "deflection": 0.003960407039760834,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_126",
      "improvement_over_parent": null
    },
    "node_128": {
      "node_id": "node_128",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_127",
      "improvement_over_parent": null
    },
    "node_129": {
      "node_id": "node_129",
      "content": "INITIAL DESIGN (Trace 19)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 200.70 kg\n  Factor of Safety: 0.41\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.70013440757054,
      "fos_buckling": 0.40610321232856067,
      "fos_yielding": 2.0586601038467403,
      "deflection": 0.00546214901250945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_130": {
      "node_id": "node_130",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 243.17 kg\n  Factor of Safety: 0.48\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.16789697841074,
      "fos_buckling": 0.4777199477728298,
      "fos_yielding": 2.4890470427353057,
      "deflection": 0.004518471399559053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_129",
      "improvement_over_parent": null
    },
    "node_131": {
      "node_id": "node_131",
      "content": "MODIFICATION: Increase 19 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.61 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.61089456778595,
      "fos_buckling": 0.46916990279424936,
      "fos_yielding": 2.4849045752426746,
      "deflection": 0.004476898101010412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.290)"
      },
      "parent_node_id": "node_130",
      "improvement_over_parent": null
    },
    "node_132": {
      "node_id": "node_132",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5826479664816,
      "fos_buckling": 1.5410760751348014,
      "fos_yielding": 2.6498684734029005,
      "deflection": 0.003959123571957953,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_131",
      "improvement_over_parent": null
    },
    "node_133": {
      "node_id": "node_133",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_132",
      "improvement_over_parent": null
    },
    "node_134": {
      "node_id": "node_134",
      "content": "INITIAL DESIGN (Trace 20)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 157.23 kg\n  Factor of Safety: 0.18\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": 157.23260791193093,
      "fos_buckling": 0.1763069638523175,
      "fos_yielding": 0.8756473090218609,
      "deflection": 0.019302328067070447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_135": {
      "node_id": "node_135",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 180.35 kg\n  Factor of Safety: 0.20\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": 180.34824856840604,
      "fos_buckling": 0.19826091757032568,
      "fos_yielding": 1.0059982285013027,
      "deflection": 0.016845427427589738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_134",
      "improvement_over_parent": null
    },
    "node_136": {
      "node_id": "node_136",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n  Mass: 187.87 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.87265293827429,
      "fos_buckling": 0.19826091757032568,
      "fos_yielding": 1.148777023378156,
      "deflection": 0.010164477610671827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003460)"
      },
      "parent_node_id": "node_135",
      "improvement_over_parent": null
    },
    "node_137": {
      "node_id": "node_137",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 215.78 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.78190459383487,
      "fos_buckling": 0.22243911470307315,
      "fos_yielding": 1.318929725530987,
      "deflection": 0.008858780220746461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_136",
      "improvement_over_parent": null
    },
    "node_138": {
      "node_id": "node_138",
      "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 218.25 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.2498309435688,
      "fos_buckling": 0.22243911470307337,
      "fos_yielding": 1.3189297255309884,
      "deflection": 0.008774658469197793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.410)"
      },
      "parent_node_id": "node_137",
      "improvement_over_parent": null
    },
    "node_139": {
      "node_id": "node_139",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 250.20 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.19977331730632,
      "fos_buckling": 1.416053030538513,
      "fos_yielding": 2.7206839370537472,
      "deflection": 0.0038895043726119715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_138",
      "improvement_over_parent": null
    },
    "node_140": {
      "node_id": "node_140",
      "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 251.98 kg\n  Factor of Safety: 1.43\n  Max Deflection: 3.87e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.98235320651762,
      "fos_buckling": 1.4271868910836172,
      "fos_yielding": 2.7206839370537472,
      "deflection": 0.0038740158182931955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.185)"
      },
      "parent_node_id": "node_139",
      "improvement_over_parent": null
    },
    "node_141": {
      "node_id": "node_141",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 258.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.54114139466725,
      "fos_buckling": 1.541141976048392,
      "fos_yielding": 2.651422638838622,
      "deflection": 0.003946099424561643,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_140",
      "improvement_over_parent": null
    },
    "node_142": {
      "node_id": "node_142",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_141",
      "improvement_over_parent": null
    },
    "node_143": {
      "node_id": "node_143",
      "content": "INITIAL DESIGN (Trace 21)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 184.29 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.29415105368645,
      "fos_buckling": 0.5648578669972256,
      "fos_yielding": 1.965800721968861,
      "deflection": 0.006960844929277121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_144": {
      "node_id": "node_144",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 201.47 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.46803791338573,
      "fos_buckling": 0.9246083019122096,
      "fos_yielding": 1.965266541204147,
      "deflection": 0.005626100720227608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003821)"
      },
      "parent_node_id": "node_143",
      "improvement_over_parent": null
    },
    "node_145": {
      "node_id": "node_145",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 1.08\n  Max Deflection: 4.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.5112202141174,
      "fos_buckling": 1.0751329048664984,
      "fos_yielding": 2.1292194729957723,
      "deflection": 0.004961745953647831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002428)"
      },
      "parent_node_id": "node_144",
      "improvement_over_parent": null
    },
    "node_146": {
      "node_id": "node_146",
      "content": "MODIFICATION: Increase 10 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 207.96 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.96085421082685,
      "fos_buckling": 1.1145284331407117,
      "fos_yielding": 2.1315825568854314,
      "deflection": 0.004943484726644975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.511)"
      },
      "parent_node_id": "node_145",
      "improvement_over_parent": null
    },
    "node_147": {
      "node_id": "node_147",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0045)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.33599839514693,
      "fos_buckling": 1.352239066331755,
      "fos_yielding": 2.6327075145625063,
      "deflection": 0.0040045803619036865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_146",
      "improvement_over_parent": null
    },
    "node_148": {
      "node_id": "node_148",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_147",
      "improvement_over_parent": null
    },
    "node_149": {
      "node_id": "node_149",
      "content": "INITIAL DESIGN (Trace 22)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 238.42 kg\n  Factor of Safety: 0.69\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.42227607962258,
      "fos_buckling": 0.693554156792741,
      "fos_yielding": 2.555541686710598,
      "deflection": 0.003934328742500201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_150": {
      "node_id": "node_150",
      "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.04 kg\n  Factor of Safety: 0.68\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.04234067082956,
      "fos_buckling": 0.6844447101686965,
      "fos_yielding": 2.5531795514404467,
      "deflection": 0.0038919218203585563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.305)"
      },
      "parent_node_id": "node_149",
      "improvement_over_parent": null
    },
    "node_151": {
      "node_id": "node_151",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 249.68 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.6849408996489,
      "fos_buckling": 0.7290689398835858,
      "fos_yielding": 2.5618184877187296,
      "deflection": 0.0038157735697410804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_150",
      "improvement_over_parent": null
    },
    "node_152": {
      "node_id": "node_152",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5237039176283,
      "fos_buckling": 1.5408287670405767,
      "fos_yielding": 2.649370693868824,
      "deflection": 0.003959974544418058,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_151",
      "improvement_over_parent": null
    },
    "node_153": {
      "node_id": "node_153",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_152",
      "improvement_over_parent": null
    },
    "node_154": {
      "node_id": "node_154",
      "content": "INITIAL DESIGN (Trace 23)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 175.13 kg\n  Factor of Safety: 1.10\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.1326307967079,
      "fos_buckling": 1.0976809321768608,
      "fos_yielding": 1.827980813173269,
      "deflection": 0.00573988910709934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_155": {
      "node_id": "node_155",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 223.69 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.69052779257552,
      "fos_buckling": 1.378006779897045,
      "fos_yielding": 2.3291695442124256,
      "deflection": 0.004507298799311427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_154",
      "improvement_over_parent": null
    },
    "node_156": {
      "node_id": "node_156",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.6756114316849,
      "fos_buckling": 1.5383060762176732,
      "fos_yielding": 2.6579642512906325,
      "deflection": 0.003951181638177421,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_155",
      "improvement_over_parent": null
    },
    "node_157": {
      "node_id": "node_157",
      "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4123724971622,
      "fos_buckling": 1.5402370022653866,
      "fos_yielding": 2.6480957953229605,
      "deflection": 0.003961784300182276,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.395)"
      },
      "parent_node_id": "node_156",
      "improvement_over_parent": null
    },
    "node_158": {
      "node_id": "node_158",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_157",
      "improvement_over_parent": null
    },
    "node_159": {
      "node_id": "node_159",
      "content": "INITIAL DESIGN (Trace 24)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 219.07 kg\n  Factor of Safety: 0.83\n  Max Deflection: 5.32e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.06521580218507,
      "fos_buckling": 0.8323520869965623,
      "fos_yielding": 1.8270892891484725,
      "deflection": 0.005320166893024843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_160": {
      "node_id": "node_160",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.60 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.59838585101232,
      "fos_buckling": 0.9255799920181141,
      "fos_yielding": 2.0883280149694223,
      "deflection": 0.004677091150163409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_159",
      "improvement_over_parent": null
    },
    "node_161": {
      "node_id": "node_161",
      "content": "MODIFICATION: Increase 0 thickness by 67%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.76 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.7608948537682,
      "fos_buckling": 0.9254968661970657,
      "fos_yielding": 2.629251639218134,
      "deflection": 0.004581390743291066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.667)"
      },
      "parent_node_id": "node_160",
      "improvement_over_parent": null
    },
    "node_162": {
      "node_id": "node_162",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.47771410312976,
      "fos_buckling": 1.5404732604062241,
      "fos_yielding": 2.64878335719754,
      "deflection": 0.003960670527005325,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_161",
      "improvement_over_parent": null
    },
    "node_163": {
      "node_id": "node_163",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_162",
      "improvement_over_parent": null
    },
    "node_164": {
      "node_id": "node_164",
      "content": "INITIAL DESIGN (Trace 25)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 179.34 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.41e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.3437343940859,
      "fos_buckling": 0.9273260090947267,
      "fos_yielding": 2.0091444258059816,
      "deflection": 0.005409554668372964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_165": {
      "node_id": "node_165",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 201.84 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.84365289386642,
      "fos_buckling": 1.0333135621233949,
      "fos_yielding": 2.258112329385402,
      "deflection": 0.004813194120143101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_164",
      "improvement_over_parent": null
    },
    "node_166": {
      "node_id": "node_166",
      "content": "MODIFICATION: Increase 19 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 207.99 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.98723717218041,
      "fos_buckling": 1.2260350010688368,
      "fos_yielding": 2.2577147271944265,
      "deflection": 0.004679051436080422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.577)"
      },
      "parent_node_id": "node_165",
      "improvement_over_parent": null
    },
    "node_167": {
      "node_id": "node_167",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n  Mass: 213.42 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.42266997895356,
      "fos_buckling": 1.318760801425251,
      "fos_yielding": 2.200165377809451,
      "deflection": 0.004766044051194094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002181)"
      },
      "parent_node_id": "node_166",
      "improvement_over_parent": null
    },
    "node_168": {
      "node_id": "node_168",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53804693830557,
      "fos_buckling": 1.5409325401262575,
      "fos_yielding": 2.649602875687405,
      "deflection": 0.003959695760735625,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_167",
      "improvement_over_parent": null
    },
    "node_169": {
      "node_id": "node_169",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_168",
      "improvement_over_parent": null
    },
    "node_170": {
      "node_id": "node_170",
      "content": "INITIAL DESIGN (Trace 26)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 148.50 kg\n  Factor of Safety: 0.22\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": 148.50422474745218,
      "fos_buckling": 0.22310245677065735,
      "fos_yielding": 0.9907601975658538,
      "deflection": 0.012463334173564137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_171": {
      "node_id": "node_171",
      "content": "MODIFICATION: Increase 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 151.15 kg\n  Factor of Safety: 0.22\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": 151.14979326049715,
      "fos_buckling": 0.22309740726813584,
      "fos_yielding": 0.9907186250693215,
      "deflection": 0.012457436461858398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.247)"
      },
      "parent_node_id": "node_170",
      "improvement_over_parent": null
    },
    "node_172": {
      "node_id": "node_172",
      "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 156.15 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.14625465265158,
      "fos_buckling": 0.22310556318157732,
      "fos_yielding": 1.1458677214214772,
      "deflection": 0.01114900266941363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.536)"
      },
      "parent_node_id": "node_171",
      "improvement_over_parent": null
    },
    "node_173": {
      "node_id": "node_173",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 198.91 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.9071784619715,
      "fos_buckling": 0.27347601856858467,
      "fos_yielding": 1.456377920436924,
      "deflection": 0.008763805443342565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_172",
      "improvement_over_parent": null
    },
    "node_174": {
      "node_id": "node_174",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 230.86 kg\n  Factor of Safety: 0.65\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.85712083570903,
      "fos_buckling": 0.6464317173104366,
      "fos_yielding": 1.716490401352228,
      "deflection": 0.0054581807512865356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_173",
      "improvement_over_parent": null
    },
    "node_175": {
      "node_id": "node_175",
      "content": "MODIFICATION: Increase 11 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 233.01 kg\n  Factor of Safety: 0.65\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.0117891687306,
      "fos_buckling": 0.646476615518732,
      "fos_yielding": 1.7163378490677854,
      "deflection": 0.005429901816596923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.527)"
      },
      "parent_node_id": "node_174",
      "improvement_over_parent": null
    },
    "node_176": {
      "node_id": "node_176",
      "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 236.53 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.53387479970817,
      "fos_buckling": 0.6736984555202276,
      "fos_yielding": 2.2737100088562774,
      "deflection": 0.005116836863378677,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.567)"
      },
      "parent_node_id": "node_175",
      "improvement_over_parent": null
    },
    "node_177": {
      "node_id": "node_177",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4900588065238,
      "fos_buckling": 1.5407465269246683,
      "fos_yielding": 2.6488602464926987,
      "deflection": 0.003960561079260975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_176",
      "improvement_over_parent": null
    },
    "node_178": {
      "node_id": "node_178",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 27)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 190.80 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.86e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.7954007491591,
      "fos_buckling": 0.7753713125109809,
      "fos_yielding": 1.932341036982291,
      "deflection": 0.005864527535544261,
      "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: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 205.28 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.28104603802564,
      "fos_buckling": 1.2275956812861542,
      "fos_yielding": 1.7905583272880492,
      "deflection": 0.0051321114707054815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003502)"
      },
      "parent_node_id": "node_179",
      "improvement_over_parent": null
    },
    "node_181": {
      "node_id": "node_181",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 255.05 kg\n  Factor of Safety: 1.47\n  Max Deflection: 4.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.05261493881943,
      "fos_buckling": 1.4746310289801616,
      "fos_yielding": 2.2301994065215744,
      "deflection": 0.004139270519887443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_180",
      "improvement_over_parent": null
    },
    "node_182": {
      "node_id": "node_182",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5624324702936,
      "fos_buckling": 1.5410078575865642,
      "fos_yielding": 2.649731489824871,
      "deflection": 0.003959668802802732,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.420)"
      },
      "parent_node_id": "node_181",
      "improvement_over_parent": null
    },
    "node_183": {
      "node_id": "node_183",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_182",
      "improvement_over_parent": null
    },
    "node_184": {
      "node_id": "node_184",
      "content": "INITIAL DESIGN (Trace 28)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 126.30 kg\n  Factor of Safety: 0.72\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.30399839931275,
      "fos_buckling": 0.7201136557939241,
      "fos_yielding": 1.3424051951852642,
      "deflection": 0.008021446801079898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_185": {
      "node_id": "node_185",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 139.81 kg\n  Factor of Safety: 0.79\n  Max Deflection: 7.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.80868727605306,
      "fos_buckling": 0.7917637356696106,
      "fos_yielding": 1.4848685299315523,
      "deflection": 0.007252114905817618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_184",
      "improvement_over_parent": null
    },
    "node_186": {
      "node_id": "node_186",
      "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 141.77 kg\n  Factor of Safety: 0.79\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.76816682512336,
      "fos_buckling": 0.7933006769092492,
      "fos_yielding": 1.4721062940487335,
      "deflection": 0.007149135071673401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.364)"
      },
      "parent_node_id": "node_185",
      "improvement_over_parent": null
    },
    "node_187": {
      "node_id": "node_187",
      "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 142.37 kg\n  Factor of Safety: 0.92\n  Max Deflection: 7.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.37229304177012,
      "fos_buckling": 0.9247943586084216,
      "fos_yielding": 1.4724232268738136,
      "deflection": 0.007115370680433711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.316)"
      },
      "parent_node_id": "node_186",
      "improvement_over_parent": null
    },
    "node_188": {
      "node_id": "node_188",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 158.71 kg\n  Factor of Safety: 1.02\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.7066640120445,
      "fos_buckling": 1.0193135097973964,
      "fos_yielding": 1.6401256680795202,
      "deflection": 0.006389086526847754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_187",
      "improvement_over_parent": null
    },
    "node_189": {
      "node_id": "node_189",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 187.43 kg\n  Factor of Safety: 1.18\n  Max Deflection: 5.42e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.4328522263722,
      "fos_buckling": 1.1797984242025235,
      "fos_yielding": 1.934444730077101,
      "deflection": 0.005418885075709032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_188",
      "improvement_over_parent": null
    },
    "node_190": {
      "node_id": "node_190",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 209.38 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.37943894154034,
      "fos_buckling": 1.2974896848983437,
      "fos_yielding": 2.158781262116725,
      "deflection": 0.004857045881430102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_189",
      "improvement_over_parent": null
    },
    "node_191": {
      "node_id": "node_191",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.06 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.0606907870707,
      "fos_buckling": 1.538562511759934,
      "fos_yielding": 2.6446275254678477,
      "deflection": 0.003967019793991069,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_190",
      "improvement_over_parent": null
    },
    "node_192": {
      "node_id": "node_192",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 29)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 218.68 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.67662822265103,
      "fos_buckling": 1.1100255015594571,
      "fos_yielding": 1.587286456614602,
      "deflection": 0.004766819295557316,
      "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 10 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 220.64 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.63775127773332,
      "fos_buckling": 1.303889144908384,
      "fos_yielding": 1.5869297883061526,
      "deflection": 0.004736358269531946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.307)"
      },
      "parent_node_id": "node_193",
      "improvement_over_parent": null
    },
    "node_195": {
      "node_id": "node_195",
      "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 223.83 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.83426674506032,
      "fos_buckling": 1.3044734076431928,
      "fos_yielding": 2.4283357092152476,
      "deflection": 0.004351958042514504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.575)"
      },
      "parent_node_id": "node_194",
      "improvement_over_parent": null
    },
    "node_196": {
      "node_id": "node_196",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n\nPerformance:\n  Mass: 229.69 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.68519309999277,
      "fos_buckling": 1.4026151583230317,
      "fos_yielding": 2.3665579472314753,
      "deflection": 0.004432722879917636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002362)"
      },
      "parent_node_id": "node_195",
      "improvement_over_parent": null
    },
    "node_197": {
      "node_id": "node_197",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.69269323596825,
      "fos_buckling": 1.5416418004528738,
      "fos_yielding": 2.651731630742901,
      "deflection": 0.003957331290714243,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_196",
      "improvement_over_parent": null
    },
    "node_198": {
      "node_id": "node_198",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_197",
      "improvement_over_parent": null
    },
    "node_199": {
      "node_id": "node_199",
      "content": "INITIAL DESIGN (Trace 30)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 144.30 kg\n  Factor of Safety: 0.03\n  Max Deflection: 3.42e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.29507721237442,
      "fos_buckling": 0.03300136486118423,
      "fos_yielding": 0.4085381145718207,
      "deflection": 0.03424132635591976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_200": {
      "node_id": "node_200",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 180.31 kg\n  Factor of Safety: 0.04\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": 180.3101829981508,
      "fos_buckling": 0.04007174806831603,
      "fos_yielding": 0.5095221638882174,
      "deflection": 0.027472497263616502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_199",
      "improvement_over_parent": null
    },
    "node_201": {
      "node_id": "node_201",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n  Mass: 186.46 kg\n  Factor of Safety: 0.04\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": 186.45519196844165,
      "fos_buckling": 0.04004835014070564,
      "fos_yielding": 0.509224653465507,
      "deflection": 0.02041121609560657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002492)"
      },
      "parent_node_id": "node_200",
      "improvement_over_parent": null
    },
    "node_202": {
      "node_id": "node_202",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 215.19 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.1885272809735,
      "fos_buckling": 0.04518183131209169,
      "fos_yielding": 0.5867677689426153,
      "deflection": 0.01771910439366895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_201",
      "improvement_over_parent": null
    },
    "node_203": {
      "node_id": "node_203",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 238.17 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.16949046186187,
      "fos_buckling": 0.049090688358233305,
      "fos_yielding": 0.648601605556297,
      "deflection": 0.016033665844447965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_202",
      "improvement_over_parent": null
    },
    "node_204": {
      "node_id": "node_204",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 247.73 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.73263144108168,
      "fos_buckling": 1.1987146613784392,
      "fos_yielding": 2.633491602610932,
      "deflection": 0.004115769124231271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_203",
      "improvement_over_parent": null
    },
    "node_205": {
      "node_id": "node_205",
      "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 253.64 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.63944445094327,
      "fos_buckling": 1.0655370555973527,
      "fos_yielding": 2.6091760170944407,
      "deflection": 0.004056099889740334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.497)"
      },
      "parent_node_id": "node_204",
      "improvement_over_parent": null
    },
    "node_206": {
      "node_id": "node_206",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_205",
      "improvement_over_parent": null
    },
    "node_207": {
      "node_id": "node_207",
      "content": "INITIAL DESIGN (Trace 31)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 184.42 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.42256295163315,
      "fos_buckling": 0.8505207901873432,
      "fos_yielding": 1.5429546025359024,
      "deflection": 0.00573572396894864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_208": {
      "node_id": "node_208",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 217.72 kg\n  Factor of Safety: 0.99\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.71796313760532,
      "fos_buckling": 0.9917328563175665,
      "fos_yielding": 1.8251751532987655,
      "deflection": 0.004865127652995266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_207",
      "improvement_over_parent": null
    },
    "node_209": {
      "node_id": "node_209",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 219.00 kg\n  Factor of Safety: 0.99\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.0028185441672,
      "fos_buckling": 0.992140567094302,
      "fos_yielding": 1.8259255001030377,
      "deflection": 0.004823887255033764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.235)"
      },
      "parent_node_id": "node_208",
      "improvement_over_parent": null
    },
    "node_210": {
      "node_id": "node_210",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.52 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.51867194705443,
      "fos_buckling": 1.137880294073096,
      "fos_yielding": 2.1271811342998657,
      "deflection": 0.004156823779646336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_209",
      "improvement_over_parent": null
    },
    "node_211": {
      "node_id": "node_211",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.57240388358656,
      "fos_buckling": 1.5409739607695325,
      "fos_yielding": 2.6498156831627737,
      "deflection": 0.003959369067192107,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.600)"
      },
      "parent_node_id": "node_210",
      "improvement_over_parent": null
    },
    "node_212": {
      "node_id": "node_212",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 32)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 199.53 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.52603963453862,
      "fos_buckling": 0.38704166596529194,
      "fos_yielding": 0.7432506294018136,
      "deflection": 0.016315116721408535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_214": {
      "node_id": "node_214",
      "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 201.74 kg\n  Factor of Safety: 0.39\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": 201.7373743131226,
      "fos_buckling": 0.38696805511541726,
      "fos_yielding": 0.7431096738717082,
      "deflection": 0.016158514275573656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.376)"
      },
      "parent_node_id": "node_213",
      "improvement_over_parent": null
    },
    "node_215": {
      "node_id": "node_215",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 205.64 kg\n  Factor of Safety: 0.39\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": 205.6354774615417,
      "fos_buckling": 0.386924814856032,
      "fos_yielding": 1.2220746713264,
      "deflection": 0.013417933977214249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002415)"
      },
      "parent_node_id": "node_214",
      "improvement_over_parent": null
    },
    "node_216": {
      "node_id": "node_216",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 249.08 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.07519629674096,
      "fos_buckling": 0.45334476726728523,
      "fos_yielding": 1.476085041121532,
      "deflection": 0.011108902839121006,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_215",
      "improvement_over_parent": null
    },
    "node_217": {
      "node_id": "node_217",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.71 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7120598243945,
      "fos_buckling": 1.541712532945882,
      "fos_yielding": 2.6526631338038333,
      "deflection": 0.0039570858426461126,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_216",
      "improvement_over_parent": null
    },
    "node_218": {
      "node_id": "node_218",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 33)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 187.31 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.30832774317722,
      "fos_buckling": 0.23680577249330953,
      "fos_yielding": 1.2550258824368232,
      "deflection": 0.009576077400820492,
      "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: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 189.33 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.32971109924134,
      "fos_buckling": 0.2361071397616638,
      "fos_yielding": 1.2549054098749295,
      "deflection": 0.009496594863600043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.377)"
      },
      "parent_node_id": "node_219",
      "improvement_over_parent": null
    },
    "node_221": {
      "node_id": "node_221",
      "content": "MODIFICATION: Increase 19 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 192.45 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.4467046171169,
      "fos_buckling": 0.23623386482512668,
      "fos_yielding": 1.2548434955721999,
      "deflection": 0.009470612183791987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.222)"
      },
      "parent_node_id": "node_220",
      "improvement_over_parent": null
    },
    "node_222": {
      "node_id": "node_222",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.30 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.30143466979933,
      "fos_buckling": 0.26729856885283476,
      "fos_yielding": 1.453944684764646,
      "deflection": 0.008172628983973678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_221",
      "improvement_over_parent": null
    },
    "node_223": {
      "node_id": "node_223",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 255.25 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.25137704353685,
      "fos_buckling": 1.4976244885835068,
      "fos_yielding": 2.649427846192614,
      "deflection": 0.004020936003973062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_222",
      "improvement_over_parent": null
    },
    "node_224": {
      "node_id": "node_224",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 255.87 kg\n  Factor of Safety: 1.54\n  Max Deflection: 4.00e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.8689350267279,
      "fos_buckling": 1.5375553275699376,
      "fos_yielding": 2.64882721405084,
      "deflection": 0.003998213417487719,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.192)"
      },
      "parent_node_id": "node_223",
      "improvement_over_parent": null
    },
    "node_225": {
      "node_id": "node_225",
      "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.38864403390903,
      "fos_buckling": 1.540677004097696,
      "fos_yielding": 2.6478342590595396,
      "deflection": 0.003961951756121291,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.412)"
      },
      "parent_node_id": "node_224",
      "improvement_over_parent": null
    },
    "node_226": {
      "node_id": "node_226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 34)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.16 kg\n  Factor of Safety: 0.05\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": 243.16400581860213,
      "fos_buckling": 0.04905618203029934,
      "fos_yielding": 0.6480634557588514,
      "deflection": 0.01748198810501607,
      "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 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.67 kg\n  Factor of Safety: 0.05\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": 246.672168454248,
      "fos_buckling": 0.04904259003577943,
      "fos_yielding": 0.6478838968414088,
      "deflection": 0.016039967562604913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.376)"
      },
      "parent_node_id": "node_227",
      "improvement_over_parent": null
    },
    "node_229": {
      "node_id": "node_229",
      "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.96 kg\n  Factor of Safety: 0.05\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": 247.9611660872092,
      "fos_buckling": 0.04903959460030408,
      "fos_yielding": 0.647844325228101,
      "deflection": 0.01600422680295723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.182)"
      },
      "parent_node_id": "node_228",
      "improvement_over_parent": null
    },
    "node_230": {
      "node_id": "node_230",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.524307066429,
      "fos_buckling": 1.5408265970563564,
      "fos_yielding": 2.649371344187265,
      "deflection": 0.003960083567148298,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_229",
      "improvement_over_parent": null
    },
    "node_231": {
      "node_id": "node_231",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_230",
      "improvement_over_parent": null
    },
    "node_232": {
      "node_id": "node_232",
      "content": "INITIAL DESIGN (Trace 35)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 205.63 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.63425804490637,
      "fos_buckling": 0.8233446602512227,
      "fos_yielding": 2.11209743419797,
      "deflection": 0.005004419923805391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_233": {
      "node_id": "node_233",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 221.56 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.40e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.56253619241153,
      "fos_buckling": 1.2937766348542707,
      "fos_yielding": 2.4032483461299057,
      "deflection": 0.004396159288941309,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003874)"
      },
      "parent_node_id": "node_232",
      "improvement_over_parent": null
    },
    "node_234": {
      "node_id": "node_234",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 250.80 kg\n  Factor of Safety: 1.43\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.80401631076845,
      "fos_buckling": 1.4349160329319133,
      "fos_yielding": 2.7163118108373743,
      "deflection": 0.00389068725423181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_233",
      "improvement_over_parent": null
    },
    "node_235": {
      "node_id": "node_235",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3628044989181,
      "fos_buckling": 1.539998155544933,
      "fos_yielding": 2.64760216440229,
      "deflection": 0.003962516639493465,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_234",
      "improvement_over_parent": null
    },
    "node_236": {
      "node_id": "node_236",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_235",
      "improvement_over_parent": null
    },
    "node_237": {
      "node_id": "node_237",
      "content": "INITIAL DESIGN (Trace 36)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 182.50 kg\n  Factor of Safety: 0.86\n  Max Deflection: 6.45e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.49606287649928,
      "fos_buckling": 0.8626288543837408,
      "fos_yielding": 1.3578162039897594,
      "deflection": 0.006451443527461172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_238": {
      "node_id": "node_238",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.08 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.07993786474267,
      "fos_buckling": 1.0378845373664904,
      "fos_yielding": 1.7044873008657582,
      "deflection": 0.005176398635020195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_237",
      "improvement_over_parent": null
    },
    "node_239": {
      "node_id": "node_239",
      "content": "MODIFICATION: Increase 0 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 230.57 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.57007906348647,
      "fos_buckling": 1.0375116643283415,
      "fos_yielding": 2.428361318716906,
      "deflection": 0.005023043722107257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.466)"
      },
      "parent_node_id": "node_238",
      "improvement_over_parent": null
    },
    "node_240": {
      "node_id": "node_240",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 249.66 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.65982283829393,
      "fos_buckling": 0.7288014207551224,
      "fos_yielding": 2.5614553048138977,
      "deflection": 0.00381621057660737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_239",
      "improvement_over_parent": null
    },
    "node_241": {
      "node_id": "node_241",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4985858562734,
      "fos_buckling": 1.5407524382912403,
      "fos_yielding": 2.6490225541338597,
      "deflection": 0.003960460381974926,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_240",
      "improvement_over_parent": null
    },
    "node_242": {
      "node_id": "node_242",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_241",
      "improvement_over_parent": null
    },
    "node_243": {
      "node_id": "node_243",
      "content": "INITIAL DESIGN (Trace 37)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 174.90 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.9021043611976,
      "fos_buckling": 0.9757512813267938,
      "fos_yielding": 1.8438226208821036,
      "deflection": 0.0057632819972088575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_244": {
      "node_id": "node_244",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 209.13 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.13327497336863,
      "fos_buckling": 1.1388688131763967,
      "fos_yielding": 2.2012332516874316,
      "deflection": 0.004829413799264841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_243",
      "improvement_over_parent": null
    },
    "node_245": {
      "node_id": "node_245",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.02 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.024737797216,
      "fos_buckling": 1.326132628950461,
      "fos_yielding": 2.6371041780855657,
      "deflection": 0.004033130011456698,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_244",
      "improvement_over_parent": null
    },
    "node_246": {
      "node_id": "node_246",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.66733802603534,
      "fos_buckling": 1.5415088852655447,
      "fos_yielding": 2.6507944405546358,
      "deflection": 0.003957785753564957,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_245",
      "improvement_over_parent": null
    },
    "node_247": {
      "node_id": "node_247",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_246",
      "improvement_over_parent": null
    },
    "node_248": {
      "node_id": "node_248",
      "content": "INITIAL DESIGN (Trace 38)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 141.46 kg\n  Factor of Safety: 0.42\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.4579499309048,
      "fos_buckling": 0.41864231572748317,
      "fos_yielding": 1.4668740829204188,
      "deflection": 0.006696703415959137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_249": {
      "node_id": "node_249",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.32 kg\n  Factor of Safety: 0.49\n  Max Deflection: 5.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.32109639707645,
      "fos_buckling": 0.4937500751857589,
      "fos_yielding": 1.7537420816089209,
      "deflection": 0.005604265318358996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_248",
      "improvement_over_parent": null
    },
    "node_250": {
      "node_id": "node_250",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 203.00 kg\n  Factor of Safety: 0.58\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.99863257289866,
      "fos_buckling": 0.581219064530052,
      "fos_yielding": 2.099566910443098,
      "deflection": 0.0046841499275989094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_249",
      "improvement_over_parent": null
    },
    "node_251": {
      "node_id": "node_251",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 209.43 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.4297539467943,
      "fos_buckling": 1.1690122597162993,
      "fos_yielding": 2.167425291608872,
      "deflection": 0.004861851830201212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002617)"
      },
      "parent_node_id": "node_250",
      "improvement_over_parent": null
    },
    "node_252": {
      "node_id": "node_252",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.43 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.42513980899602,
      "fos_buckling": 1.3948945168580835,
      "fos_yielding": 2.637849544816668,
      "deflection": 0.0039965800756417875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_251",
      "improvement_over_parent": null
    },
    "node_253": {
      "node_id": "node_253",
      "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0039)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.30 kg\n  Factor of Safety: 1.43\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.3022736750648,
      "fos_buckling": 1.4276382986200893,
      "fos_yielding": 2.6395448447401493,
      "deflection": 0.003987594334650427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.321)"
      },
      "parent_node_id": "node_252",
      "improvement_over_parent": null
    },
    "node_254": {
      "node_id": "node_254",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_253",
      "improvement_over_parent": null
    },
    "node_255": {
      "node_id": "node_255",
      "content": "INITIAL DESIGN (Trace 39)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0013)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 105.24 kg\n  Factor of Safety: 0.12\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": 105.24155789559012,
      "fos_buckling": 0.11938444871748037,
      "fos_yielding": 0.6483182828709005,
      "deflection": 0.018367893027652262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_256": {
      "node_id": "node_256",
      "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 106.80 kg\n  Factor of Safety: 0.12\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": 106.79928955849817,
      "fos_buckling": 0.11937123722132051,
      "fos_yielding": 0.6482465377265662,
      "deflection": 0.01789134630448711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.517)"
      },
      "parent_node_id": "node_255",
      "improvement_over_parent": null
    },
    "node_257": {
      "node_id": "node_257",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n\nPerformance:\n  Mass: 110.02 kg\n  Factor of Safety: 0.14\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": 110.02371287570635,
      "fos_buckling": 0.14359376950303487,
      "fos_yielding": 0.7186724036139951,
      "deflection": 0.016585945855060583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001255)"
      },
      "parent_node_id": "node_256",
      "improvement_over_parent": null
    },
    "node_258": {
      "node_id": "node_258",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n  Mass: 140.16 kg\n  Factor of Safety: 0.18\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": 140.1649996101128,
      "fos_buckling": 0.1787671332510785,
      "fos_yielding": 0.9142831839491423,
      "deflection": 0.013035303806941649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_257",
      "improvement_over_parent": null
    },
    "node_259": {
      "node_id": "node_259",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 179.85 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.84795661265684,
      "fos_buckling": 0.22235313855997094,
      "fos_yielding": 1.1709828393194557,
      "deflection": 0.010175540120204227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_258",
      "improvement_over_parent": null
    },
    "node_260": {
      "node_id": "node_260",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 223.94 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.94087370413035,
      "fos_buckling": 0.2671620516271649,
      "fos_yielding": 1.4550946416243424,
      "deflection": 0.008186692877616234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_259",
      "improvement_over_parent": null
    },
    "node_261": {
      "node_id": "node_261",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 255.89 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.89081607786787,
      "fos_buckling": 1.3570765645281238,
      "fos_yielding": 2.608206621546425,
      "deflection": 0.004047429813567347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_260",
      "improvement_over_parent": null
    },
    "node_262": {
      "node_id": "node_262",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.56071079816735,
      "fos_buckling": 1.5408656875332525,
      "fos_yielding": 2.6496795858745092,
      "deflection": 0.003959561046045847,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.263)"
      },
      "parent_node_id": "node_261",
      "improvement_over_parent": null
    },
    "node_263": {
      "node_id": "node_263",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_262",
      "improvement_over_parent": null
    },
    "node_264": {
      "node_id": "node_264",
      "content": "INITIAL DESIGN (Trace 40)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 210.17 kg\n  Factor of Safety: 0.84\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.17132018462632,
      "fos_buckling": 0.8366895750404019,
      "fos_yielding": 2.401679097548084,
      "deflection": 0.005175198796932033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_265": {
      "node_id": "node_265",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.54 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.54377598126874,
      "fos_buckling": 0.927467442131553,
      "fos_yielding": 2.7212192213722646,
      "deflection": 0.004567765345177576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_264",
      "improvement_over_parent": null
    },
    "node_266": {
      "node_id": "node_266",
      "content": "MODIFICATION: Increase 16 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.35 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.3502207079243,
      "fos_buckling": 0.9264388352015696,
      "fos_yielding": 2.719396545642702,
      "deflection": 0.0044903663081324475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.650)"
      },
      "parent_node_id": "node_265",
      "improvement_over_parent": null
    },
    "node_267": {
      "node_id": "node_267",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 251.07 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.06703995728589,
      "fos_buckling": 1.4363555832278871,
      "fos_yielding": 2.7190297412490185,
      "deflection": 0.0038867132499879747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_266",
      "improvement_over_parent": null
    },
    "node_268": {
      "node_id": "node_268",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6258281454355,
      "fos_buckling": 1.541253214506913,
      "fos_yielding": 2.6502993053187773,
      "deflection": 0.003958422065621927,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_267",
      "improvement_over_parent": null
    },
    "node_269": {
      "node_id": "node_269",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_268",
      "improvement_over_parent": null
    },
    "node_270": {
      "node_id": "node_270",
      "content": "INITIAL DESIGN (Trace 41)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 188.44 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.44292263195874,
      "fos_buckling": 0.5967947060613955,
      "fos_yielding": 1.4767813450514888,
      "deflection": 0.0066298534989735975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_271": {
      "node_id": "node_271",
      "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 190.94 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.93549442946005,
      "fos_buckling": 0.5967947060613955,
      "fos_yielding": 1.4767813450514888,
      "deflection": 0.0066298534989735975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.353)"
      },
      "parent_node_id": "node_270",
      "improvement_over_parent": null
    },
    "node_272": {
      "node_id": "node_272",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 207.85 kg\n  Factor of Safety: 0.84\n  Max Deflection: 5.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.8512460445522,
      "fos_buckling": 0.839655587479863,
      "fos_yielding": 2.2286780338032512,
      "deflection": 0.005535582829491922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004001)"
      },
      "parent_node_id": "node_271",
      "improvement_over_parent": null
    },
    "node_273": {
      "node_id": "node_273",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 212.03 kg\n  Factor of Safety: 0.90\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.03200851921804,
      "fos_buckling": 0.8980616300383958,
      "fos_yielding": 2.2222728326460675,
      "deflection": 0.004820492882502623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002605)"
      },
      "parent_node_id": "node_272",
      "improvement_over_parent": null
    },
    "node_274": {
      "node_id": "node_274",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 214.36 kg\n  Factor of Safety: 0.90\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.3575363431707,
      "fos_buckling": 0.8996161883508359,
      "fos_yielding": 2.226119620649194,
      "deflection": 0.004783982226814818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.211)"
      },
      "parent_node_id": "node_273",
      "improvement_over_parent": null
    },
    "node_275": {
      "node_id": "node_275",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 242.15 kg\n  Factor of Safety: 1.01\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.1459452188491,
      "fos_buckling": 1.0084778229345217,
      "fos_yielding": 2.521804122870003,
      "deflection": 0.004240386218155974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_274",
      "improvement_over_parent": null
    },
    "node_276": {
      "node_id": "node_276",
      "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 245.81 kg\n  Factor of Safety: 1.01\n  Max Deflection: 4.21e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.80750736617793,
      "fos_buckling": 1.008308962295439,
      "fos_yielding": 2.521381869205971,
      "deflection": 0.004214860796842789,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.229)"
      },
      "parent_node_id": "node_275",
      "improvement_over_parent": null
    },
    "node_277": {
      "node_id": "node_277",
      "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0076)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 254.21 kg\n  Factor of Safety: 0.87\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.2053153150679,
      "fos_buckling": 0.8657419625202591,
      "fos_yielding": 2.529463187250797,
      "deflection": 0.004152491582445901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.629)"
      },
      "parent_node_id": "node_276",
      "improvement_over_parent": null
    },
    "node_278": {
      "node_id": "node_278",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_277",
      "improvement_over_parent": null
    },
    "node_279": {
      "node_id": "node_279",
      "content": "INITIAL DESIGN (Trace 42)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 171.88 kg\n  Factor of Safety: 0.54\n  Max Deflection: 3.72e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.87680385453945,
      "fos_buckling": 0.544169439337604,
      "fos_yielding": 1.9912801454599602,
      "deflection": 3723951590575.255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_280": {
      "node_id": "node_280",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 219.95 kg\n  Factor of Safety: 0.15\n  Max Deflection: 5.65e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.9464857172356,
      "fos_buckling": 0.14588284192390957,
      "fos_yielding": 0.10492214822335652,
      "deflection": 56467758698988.72,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_279",
      "improvement_over_parent": null
    },
    "node_281": {
      "node_id": "node_281",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 229.51 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.5096266964554,
      "fos_buckling": 0.9132376414806335,
      "fos_yielding": 2.390560161096083,
      "deflection": 0.004413616491847502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_280",
      "improvement_over_parent": null
    },
    "node_282": {
      "node_id": "node_282",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 247.55 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.55216289920307,
      "fos_buckling": 0.46907841793838223,
      "fos_yielding": 2.4843562044834444,
      "deflection": 0.004477936834988564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_281",
      "improvement_over_parent": null
    },
    "node_283": {
      "node_id": "node_283",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5239162978987,
      "fos_buckling": 1.5407978256887418,
      "fos_yielding": 2.6492911794829137,
      "deflection": 0.003960025142043413,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_282",
      "improvement_over_parent": null
    },
    "node_284": {
      "node_id": "node_284",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_283",
      "improvement_over_parent": null
    },
    "node_285": {
      "node_id": "node_285",
      "content": "INITIAL DESIGN (Trace 43)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 140.05 kg\n  Factor of Safety: 0.58\n  Max Deflection: 7.51e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.04508386742665,
      "fos_buckling": 0.5774621561995615,
      "fos_yielding": 1.4103817799535878,
      "deflection": 0.007505793842449362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_286": {
      "node_id": "node_286",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 157.37 kg\n  Factor of Safety: 0.64\n  Max Deflection: 6.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.3693023239792,
      "fos_buckling": 0.6406737909776005,
      "fos_yielding": 1.5834251778001782,
      "deflection": 0.006685777092126193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_285",
      "improvement_over_parent": null
    },
    "node_287": {
      "node_id": "node_287",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 158.15 kg\n  Factor of Safety: 0.64\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.15421375862186,
      "fos_buckling": 0.6406592815171734,
      "fos_yielding": 1.5833894558143853,
      "deflection": 0.0066612321333267225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.330)"
      },
      "parent_node_id": "node_286",
      "improvement_over_parent": null
    },
    "node_288": {
      "node_id": "node_288",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 170.08 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.0755742970975,
      "fos_buckling": 1.0836491119365346,
      "fos_yielding": 1.7566134579844923,
      "deflection": 0.005966061659622355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002840)"
      },
      "parent_node_id": "node_287",
      "improvement_over_parent": null
    },
    "node_289": {
      "node_id": "node_289",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 202.11 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.10646555896346,
      "fos_buckling": 1.2588988390659688,
      "fos_yielding": 2.0843854735812424,
      "deflection": 0.005029832367182229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_288",
      "improvement_over_parent": null
    },
    "node_290": {
      "node_id": "node_290",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.34424486279573,
      "fos_buckling": 1.5398679305690304,
      "fos_yielding": 2.647384199334518,
      "deflection": 0.003962801549296016,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_289",
      "improvement_over_parent": null
    },
    "node_291": {
      "node_id": "node_291",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_290",
      "improvement_over_parent": null
    },
    "node_292": {
      "node_id": "node_292",
      "content": "INITIAL DESIGN (Trace 44)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 147.07 kg\n  Factor of Safety: 0.31\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": 147.07023299072384,
      "fos_buckling": 0.31337519412778503,
      "fos_yielding": 0.9459525225068744,
      "deflection": 0.01798393288063513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_293": {
      "node_id": "node_293",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n\nPerformance:\n  Mass: 159.42 kg\n  Factor of Safety: 0.31\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": 159.42137497899472,
      "fos_buckling": 0.3132639725386141,
      "fos_yielding": 0.9456175111144622,
      "deflection": 0.017512494012971867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002857)"
      },
      "parent_node_id": "node_292",
      "improvement_over_parent": null
    },
    "node_294": {
      "node_id": "node_294",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n  Mass: 176.64 kg\n  Factor of Safety: 0.34\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": 176.64061614006852,
      "fos_buckling": 0.3426668523109661,
      "fos_yielding": 1.046632253269396,
      "deflection": 0.015821329707335286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_293",
      "improvement_over_parent": null
    },
    "node_295": {
      "node_id": "node_295",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 182.83 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.83392049241766,
      "fos_buckling": 1.0315244993497412,
      "fos_yielding": 1.898978161481955,
      "deflection": 0.005557928853494591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002807)"
      },
      "parent_node_id": "node_294",
      "improvement_over_parent": null
    },
    "node_296": {
      "node_id": "node_296",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 215.55 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.54541678060272,
      "fos_buckling": 1.1948579158203145,
      "fos_yielding": 2.2352664700153735,
      "deflection": 0.00472316023722498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_295",
      "improvement_over_parent": null
    },
    "node_297": {
      "node_id": "node_297",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 254.83 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.833759468138,
      "fos_buckling": 1.3825288608139092,
      "fos_yielding": 2.6377808760935033,
      "deflection": 0.004003825784480779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_296",
      "improvement_over_parent": null
    },
    "node_298": {
      "node_id": "node_298",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 255.99 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.98724766435296,
      "fos_buckling": 1.4011014265414052,
      "fos_yielding": 2.638843046654869,
      "deflection": 0.003997878161992919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.195)"
      },
      "parent_node_id": "node_297",
      "improvement_over_parent": null
    },
    "node_299": {
      "node_id": "node_299",
      "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 258.65 kg\n  Factor of Safety: 1.40\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.6494094936279,
      "fos_buckling": 1.4015689109645129,
      "fos_yielding": 2.6354658805926814,
      "deflection": 0.003978543498011274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.263)"
      },
      "parent_node_id": "node_298",
      "improvement_over_parent": null
    },
    "node_300": {
      "node_id": "node_300",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_299",
      "improvement_over_parent": null
    },
    "node_301": {
      "node_id": "node_301",
      "content": "INITIAL DESIGN (Trace 45)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.14 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.14484702679377,
      "fos_buckling": 1.1629310571507534,
      "fos_yielding": 2.4268507097853433,
      "deflection": 0.004526086288660858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_302": {
      "node_id": "node_302",
      "content": "MODIFICATION: Increase 11 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.63 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.6337811492161,
      "fos_buckling": 1.162931057150753,
      "fos_yielding": 2.4268507097853433,
      "deflection": 0.004509001052468975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.176)"
      },
      "parent_node_id": "node_301",
      "improvement_over_parent": null
    },
    "node_303": {
      "node_id": "node_303",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 255.64 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.63700775788243,
      "fos_buckling": 1.5268004000350317,
      "fos_yielding": 2.6404852771557534,
      "deflection": 0.003945257126863469,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_302",
      "improvement_over_parent": null
    },
    "node_304": {
      "node_id": "node_304",
      "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0049)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 258.68 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.91e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.6821563632925,
      "fos_buckling": 1.523287819378719,
      "fos_yielding": 2.6518756840042634,
      "deflection": 0.003909557890452671,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.348)"
      },
      "parent_node_id": "node_303",
      "improvement_over_parent": null
    },
    "node_305": {
      "node_id": "node_305",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_304",
      "improvement_over_parent": null
    },
    "node_306": {
      "node_id": "node_306",
      "content": "INITIAL DESIGN (Trace 46)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 0.44\n  Max Deflection: 9.34e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.39370402883364,
      "fos_buckling": 0.4430161565119571,
      "fos_yielding": 1.6794938612182022,
      "deflection": 9344262344036.414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_307": {
      "node_id": "node_307",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 169.64 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.63873137328918,
      "fos_buckling": 0.6964152266974827,
      "fos_yielding": 1.3109909677850329,
      "deflection": 0.007667525682007455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002832)"
      },
      "parent_node_id": "node_306",
      "improvement_over_parent": null
    },
    "node_308": {
      "node_id": "node_308",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 210.76 kg\n  Factor of Safety: 0.84\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.76025737588276,
      "fos_buckling": 0.8389862279114314,
      "fos_yielding": 1.6264519659765029,
      "deflection": 0.0061827528157003386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_307",
      "improvement_over_parent": null
    },
    "node_309": {
      "node_id": "node_309",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 215.00 kg\n  Factor of Safety: 0.84\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.99713118512008,
      "fos_buckling": 0.8390891447114965,
      "fos_yielding": 2.1521377529137538,
      "deflection": 0.004941967621283102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002643)"
      },
      "parent_node_id": "node_308",
      "improvement_over_parent": null
    },
    "node_310": {
      "node_id": "node_310",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 239.46 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.46488610074763,
      "fos_buckling": 0.9175500284793207,
      "fos_yielding": 2.394558936133199,
      "deflection": 0.004442577445825102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_309",
      "improvement_over_parent": null
    },
    "node_311": {
      "node_id": "node_311",
      "content": "MODIFICATION: Increase 3 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 241.11 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.10624391480988,
      "fos_buckling": 0.9175936303724053,
      "fos_yielding": 2.3944461722749986,
      "deflection": 0.004415128434157429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.458)"
      },
      "parent_node_id": "node_310",
      "improvement_over_parent": null
    },
    "node_312": {
      "node_id": "node_312",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 251.08 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.07799731350553,
      "fos_buckling": 1.4356996685685703,
      "fos_yielding": 2.7192946859027733,
      "deflection": 0.003886468663127767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_311",
      "improvement_over_parent": null
    },
    "node_313": {
      "node_id": "node_313",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.63678550165514,
      "fos_buckling": 1.5413835516283287,
      "fos_yielding": 2.6505220379821166,
      "deflection": 0.003958200408198601,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_312",
      "improvement_over_parent": null
    },
    "node_314": {
      "node_id": "node_314",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_313",
      "improvement_over_parent": null
    },
    "node_315": {
      "node_id": "node_315",
      "content": "INITIAL DESIGN (Trace 47)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 175.87 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.86894795170787,
      "fos_buckling": 0.8520603069900551,
      "fos_yielding": 1.399306049147804,
      "deflection": 0.006136225909298726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_316": {
      "node_id": "node_316",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 217.08 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.07869763142622,
      "fos_buckling": 1.0343167843228869,
      "fos_yielding": 1.7316463534153546,
      "deflection": 0.004977831079340723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_315",
      "improvement_over_parent": null
    },
    "node_317": {
      "node_id": "node_317",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.92 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.29e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.9171200905904,
      "fos_buckling": 1.1832102474736605,
      "fos_yielding": 2.014387005551373,
      "deflection": 0.0042939571833822115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_316",
      "improvement_over_parent": null
    },
    "node_318": {
      "node_id": "node_318",
      "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.82 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.8226239218966,
      "fos_buckling": 1.2013353156723199,
      "fos_yielding": 2.263309193514607,
      "deflection": 0.004122360252714438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.479)"
      },
      "parent_node_id": "node_317",
      "improvement_over_parent": null
    },
    "node_319": {
      "node_id": "node_319",
      "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4807145745023,
      "fos_buckling": 1.5406310024229641,
      "fos_yielding": 2.6489104656170985,
      "deflection": 0.003960853424417513,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.488)"
      },
      "parent_node_id": "node_318",
      "improvement_over_parent": null
    },
    "node_320": {
      "node_id": "node_320",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 48)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 154.34 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.33745286381213,
      "fos_buckling": 0.7953209629967392,
      "fos_yielding": 1.6036118142334186,
      "deflection": 0.0065762452837881576,
      "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: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 175.13 kg\n  Factor of Safety: 0.89\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.13069155352255,
      "fos_buckling": 0.894479579262877,
      "fos_yielding": 1.8178712136333532,
      "deflection": 0.005802331494374687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_321",
      "improvement_over_parent": null
    },
    "node_323": {
      "node_id": "node_323",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 199.96 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.96323400558248,
      "fos_buckling": 1.0104119910775193,
      "fos_yielding": 2.073199094881462,
      "deflection": 0.005088961491323091,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_322",
      "improvement_over_parent": null
    },
    "node_324": {
      "node_id": "node_324",
      "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 201.07 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.06686136630844,
      "fos_buckling": 1.2533905726470804,
      "fos_yielding": 2.0738126553053124,
      "deflection": 0.0050554339416327716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.458)"
      },
      "parent_node_id": "node_323",
      "improvement_over_parent": null
    },
    "node_325": {
      "node_id": "node_325",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6636673574359,
      "fos_buckling": 1.5414580645618956,
      "fos_yielding": 2.6506944457511747,
      "deflection": 0.003957883962571314,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_324",
      "improvement_over_parent": null
    },
    "node_326": {
      "node_id": "node_326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_325",
      "improvement_over_parent": null
    },
    "node_327": {
      "node_id": "node_327",
      "content": "INITIAL DESIGN (Trace 49)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 222.35 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.3545970770964,
      "fos_buckling": 0.04530585981259428,
      "fos_yielding": 0.5887252013336889,
      "deflection": 0.017704532684454283,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_328": {
      "node_id": "node_328",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.84 kg\n  Factor of Safety: 0.05\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": 244.84021312068504,
      "fos_buckling": 0.04902402879700829,
      "fos_yielding": 0.6475725293353799,
      "deflection": 0.016098734920770557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_327",
      "improvement_over_parent": null
    },
    "node_329": {
      "node_id": "node_329",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 254.40 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.40335409990485,
      "fos_buckling": 1.517983237371827,
      "fos_yielding": 2.652398886069087,
      "deflection": 0.003985130745359949,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_328",
      "improvement_over_parent": null
    },
    "node_330": {
      "node_id": "node_330",
      "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 256.89 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.88801811457216,
      "fos_buckling": 1.5200414763559096,
      "fos_yielding": 2.6410761126253575,
      "deflection": 0.003958056613387631,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.203)"
      },
      "parent_node_id": "node_329",
      "improvement_over_parent": null
    },
    "node_331": {
      "node_id": "node_331",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_330",
      "improvement_over_parent": null
    },
    "node_332": {
      "node_id": "node_332",
      "content": "INITIAL DESIGN (Trace 50)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 196.96 kg\n  Factor of Safety: 0.25\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.96124880983257,
      "fos_buckling": 0.24683387031592374,
      "fos_yielding": 1.3102594561259218,
      "deflection": 0.009036748038710893,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_333": {
      "node_id": "node_333",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n  Mass: 225.71 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.70503815262578,
      "fos_buckling": 1.214559289475622,
      "fos_yielding": 2.373841754869103,
      "deflection": 0.004479086125870133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005262)"
      },
      "parent_node_id": "node_332",
      "improvement_over_parent": null
    },
    "node_334": {
      "node_id": "node_334",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 250.76 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.76372732520798,
      "fos_buckling": 1.324993789273547,
      "fos_yielding": 2.6343755037241086,
      "deflection": 0.0040372761997879555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_333",
      "improvement_over_parent": null
    },
    "node_335": {
      "node_id": "node_335",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4063275540273,
      "fos_buckling": 1.5402199872100586,
      "fos_yielding": 2.6480580923637413,
      "deflection": 0.003961819322198549,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_334",
      "improvement_over_parent": null
    },
    "node_336": {
      "node_id": "node_336",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 51)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0010)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n  Mass: 126.71 kg\n  Factor of Safety: 0.43\n  Max Deflection: 8.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.71286249492275,
      "fos_buckling": 0.4327978366701512,
      "fos_yielding": 1.4374636950939352,
      "deflection": 0.008737558197487671,
      "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 all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 161.59 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.5916307239438,
      "fos_buckling": 0.5415326312331993,
      "fos_yielding": 1.829510245693191,
      "deflection": 0.006864152847735414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_337",
      "improvement_over_parent": null
    },
    "node_339": {
      "node_id": "node_339",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.79497578013655,
      "fos_buckling": 0.6700155260468056,
      "fos_yielding": 2.3129257038025894,
      "deflection": 0.005428240724277401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_338",
      "improvement_over_parent": null
    },
    "node_340": {
      "node_id": "node_340",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 233.38 kg\n  Factor of Safety: 0.75\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.37738108759697,
      "fos_buckling": 0.7512460880979713,
      "fos_yielding": 2.631390206219413,
      "deflection": 0.004770403392238869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_339",
      "improvement_over_parent": null
    },
    "node_341": {
      "node_id": "node_341",
      "content": "MODIFICATION: Increase 19 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.07 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.06965962354522,
      "fos_buckling": 0.926810198956081,
      "fos_yielding": 2.6311198495294277,
      "deflection": 0.004576542130160212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.311)"
      },
      "parent_node_id": "node_340",
      "improvement_over_parent": null
    },
    "node_342": {
      "node_id": "node_342",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 256.06 kg\n  Factor of Safety: 1.23\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.0590241902051,
      "fos_buckling": 1.2317501925050534,
      "fos_yielding": 2.64887647825154,
      "deflection": 0.0039879058599813855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_341",
      "improvement_over_parent": null
    },
    "node_343": {
      "node_id": "node_343",
      "content": "MODIFICATION: Increase 7 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55918446018256,
      "fos_buckling": 1.5409901630450495,
      "fos_yielding": 2.649711425674597,
      "deflection": 0.003959423191246281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.511)"
      },
      "parent_node_id": "node_342",
      "improvement_over_parent": null
    },
    "node_344": {
      "node_id": "node_344",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_343",
      "improvement_over_parent": null
    },
    "node_345": {
      "node_id": "node_345",
      "content": "INITIAL DESIGN (Trace 52)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.87 kg\n  Factor of Safety: 0.61\n  Max Deflection: 7.77e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.8660486454552,
      "fos_buckling": 0.6144371295864055,
      "fos_yielding": 1.957555053266053,
      "deflection": 7766078518180.618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_346": {
      "node_id": "node_346",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 232.18 kg\n  Factor of Safety: 0.60\n  Max Deflection: 8.76e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.1805817962887,
      "fos_buckling": 0.6007174512739268,
      "fos_yielding": 2.168122542626723,
      "deflection": 8763318042141.81,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.447)"
      },
      "parent_node_id": "node_345",
      "improvement_over_parent": null
    },
    "node_347": {
      "node_id": "node_347",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 241.74 kg\n  Factor of Safety: 1.30\n  Max Deflection: 3.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.7437227755085,
      "fos_buckling": 1.3049345071845342,
      "fos_yielding": 2.7194293152517237,
      "deflection": 0.00364490479887761,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_346",
      "improvement_over_parent": null
    },
    "node_348": {
      "node_id": "node_348",
      "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 243.13 kg\n  Factor of Safety: 1.30\n  Max Deflection: 3.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.1334921512074,
      "fos_buckling": 1.3048059936220386,
      "fos_yielding": 2.7193211891839235,
      "deflection": 0.0036578172362109014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.422)"
      },
      "parent_node_id": "node_347",
      "improvement_over_parent": null
    },
    "node_349": {
      "node_id": "node_349",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 250.97 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.97225516918687,
      "fos_buckling": 1.4357207423074467,
      "fos_yielding": 2.7181020502925985,
      "deflection": 0.0038881549533521208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_348",
      "improvement_over_parent": null
    },
    "node_350": {
      "node_id": "node_350",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5310433573365,
      "fos_buckling": 1.5408458920293004,
      "fos_yielding": 2.649361677661578,
      "deflection": 0.003959919532299394,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_349",
      "improvement_over_parent": null
    },
    "node_351": {
      "node_id": "node_351",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_350",
      "improvement_over_parent": null
    },
    "node_352": {
      "node_id": "node_352",
      "content": "INITIAL DESIGN (Trace 53)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 216.99 kg\n  Factor of Safety: 0.64\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.99208100506638,
      "fos_buckling": 0.6353314379221237,
      "fos_yielding": 2.058188295173361,
      "deflection": 0.004517858633296502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_353": {
      "node_id": "node_353",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.63 kg\n  Factor of Safety: 0.71\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.6261277857568,
      "fos_buckling": 0.7124694330923941,
      "fos_yielding": 2.351634033828605,
      "deflection": 0.003964830708773208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_352",
      "improvement_over_parent": null
    },
    "node_354": {
      "node_id": "node_354",
      "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.82 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.8247729717193,
      "fos_buckling": 0.7293874973964993,
      "fos_yielding": 2.5631875560011963,
      "deflection": 0.003813789656590054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.351)"
      },
      "parent_node_id": "node_353",
      "improvement_over_parent": null
    },
    "node_355": {
      "node_id": "node_355",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.66353598969874,
      "fos_buckling": 1.5414784278445472,
      "fos_yielding": 2.650765758204056,
      "deflection": 0.003957882990496646,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_354",
      "improvement_over_parent": null
    },
    "node_356": {
      "node_id": "node_356",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_355",
      "improvement_over_parent": null
    },
    "node_357": {
      "node_id": "node_357",
      "content": "INITIAL DESIGN (Trace 54)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 124.86 kg\n  Factor of Safety: 0.47\n  Max Deflection: 1.96e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.8562471393803,
      "fos_buckling": 0.46741459151920267,
      "fos_yielding": 1.2963222880526002,
      "deflection": 1963878819480.5784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_358": {
      "node_id": "node_358",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 149.10 kg\n  Factor of Safety: 0.01\n  Max Deflection: 2.90e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.10071083305678,
      "fos_buckling": 0.014079232938369273,
      "fos_yielding": 0.026242091581534416,
      "deflection": 290099244767072.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_357",
      "improvement_over_parent": null
    },
    "node_359": {
      "node_id": "node_359",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n  Mass: 153.22 kg\n  Factor of Safety: 0.64\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.22330523572418,
      "fos_buckling": 0.6373267417811674,
      "fos_yielding": 1.5892099011639527,
      "deflection": 0.007528864312954279,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001624)"
      },
      "parent_node_id": "node_358",
      "improvement_over_parent": null
    },
    "node_360": {
      "node_id": "node_360",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 184.03 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.0344084807192,
      "fos_buckling": 0.7493089808560293,
      "fos_yielding": 1.9057850441012976,
      "deflection": 0.006279308044871729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_359",
      "improvement_over_parent": null
    },
    "node_361": {
      "node_id": "node_361",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n  Mass: 194.41 kg\n  Factor of Safety: 1.22\n  Max Deflection: 5.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.41048190950198,
      "fos_buckling": 1.2176857506344587,
      "fos_yielding": 2.005852256484368,
      "deflection": 0.00522647979062642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002856)"
      },
      "parent_node_id": "node_360",
      "improvement_over_parent": null
    },
    "node_362": {
      "node_id": "node_362",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n  Mass: 218.71 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.70583580126538,
      "fos_buckling": 1.3462251145864021,
      "fos_yielding": 2.254016453762562,
      "deflection": 0.004652408295824745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_361",
      "improvement_over_parent": null
    },
    "node_363": {
      "node_id": "node_363",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7289389815486,
      "fos_buckling": 1.5418079819129777,
      "fos_yielding": 2.65146518284198,
      "deflection": 0.003956870025666281,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_362",
      "improvement_over_parent": null
    },
    "node_364": {
      "node_id": "node_364",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 55)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 141.60 kg\n  Factor of Safety: 0.77\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.60120635788894,
      "fos_buckling": 0.7714047626188295,
      "fos_yielding": 1.2924231558032315,
      "deflection": 0.0072839940045484955,
      "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: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 179.17 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.16836234226804,
      "fos_buckling": 0.9587143381033292,
      "fos_yielding": 1.636475590503139,
      "deflection": 0.005767274844259109,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_365",
      "improvement_over_parent": null
    },
    "node_367": {
      "node_id": "node_367",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 222.07 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.06801307036628,
      "fos_buckling": 1.1637061826590074,
      "fos_yielding": 2.030328400447998,
      "deflection": 0.004662774789906204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_366",
      "improvement_over_parent": null
    },
    "node_368": {
      "node_id": "node_368",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.64 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.63913106314317,
      "fos_buckling": 1.303984425954704,
      "fos_yielding": 2.3117700952332902,
      "deflection": 0.0041045276876043755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_367",
      "improvement_over_parent": null
    },
    "node_369": {
      "node_id": "node_369",
      "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.84 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.8389814197031,
      "fos_buckling": 1.3433995118098156,
      "fos_yielding": 2.33245248400277,
      "deflection": 0.004050568648400127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.333)"
      },
      "parent_node_id": "node_368",
      "improvement_over_parent": null
    },
    "node_370": {
      "node_id": "node_370",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6648364406793,
      "fos_buckling": 1.541541971529339,
      "fos_yielding": 2.650909881842893,
      "deflection": 0.003957917169979108,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.259)"
      },
      "parent_node_id": "node_369",
      "improvement_over_parent": null
    },
    "node_371": {
      "node_id": "node_371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_370",
      "improvement_over_parent": null
    },
    "node_372": {
      "node_id": "node_372",
      "content": "INITIAL DESIGN (Trace 56)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 138.64 kg\n  Factor of Safety: 0.30\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": 138.64077620372674,
      "fos_buckling": 0.30294984361396005,
      "fos_yielding": 0.9947442656081782,
      "deflection": 0.01853858749955912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_373": {
      "node_id": "node_373",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n  Mass: 141.76 kg\n  Factor of Safety: 0.30\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": 141.75731624349984,
      "fos_buckling": 0.3029226977356499,
      "fos_yielding": 0.9946552266152253,
      "deflection": 0.01801086140284844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001840)"
      },
      "parent_node_id": "node_372",
      "improvement_over_parent": null
    },
    "node_374": {
      "node_id": "node_374",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 184.09 kg\n  Factor of Safety: 0.38\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": 184.09253790923458,
      "fos_buckling": 0.3801701568615319,
      "fos_yielding": 1.2883597448575732,
      "deflection": 0.01390860058395704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_373",
      "improvement_over_parent": null
    },
    "node_375": {
      "node_id": "node_375",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n  Mass: 191.08 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.08174685452363,
      "fos_buckling": 0.5649795134163841,
      "fos_yielding": 2.002532958274679,
      "deflection": 0.006279115950669037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003195)"
      },
      "parent_node_id": "node_374",
      "improvement_over_parent": null
    },
    "node_376": {
      "node_id": "node_376",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 236.16 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.15800814154673,
      "fos_buckling": 0.6721825491148168,
      "fos_yielding": 2.46622096810578,
      "deflection": 0.005095588505774002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_375",
      "improvement_over_parent": null
    },
    "node_377": {
      "node_id": "node_377",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4131342234389,
      "fos_buckling": 1.54018262147716,
      "fos_yielding": 2.6479706140366694,
      "deflection": 0.003961576546514992,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_376",
      "improvement_over_parent": null
    },
    "node_378": {
      "node_id": "node_378",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_377",
      "improvement_over_parent": null
    },
    "node_379": {
      "node_id": "node_379",
      "content": "INITIAL DESIGN (Trace 57)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 164.85 kg\n  Factor of Safety: 0.49\n  Max Deflection: 7.23e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.85274042150246,
      "fos_buckling": 0.4878137347692238,
      "fos_yielding": 1.6487777767024492,
      "deflection": 0.007225064533950925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_380": {
      "node_id": "node_380",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 184.21 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.21080953570538,
      "fos_buckling": 0.5381007112585765,
      "fos_yielding": 1.840152885969256,
      "deflection": 0.006471951730883958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_379",
      "improvement_over_parent": null
    },
    "node_381": {
      "node_id": "node_381",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 201.13 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.12641738269994,
      "fos_buckling": 1.041162015008074,
      "fos_yielding": 2.1318657481907057,
      "deflection": 0.0050472762529799224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003790)"
      },
      "parent_node_id": "node_380",
      "improvement_over_parent": null
    },
    "node_382": {
      "node_id": "node_382",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 249.43 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.42995702637242,
      "fos_buckling": 1.261804364284866,
      "fos_yielding": 2.636926062371155,
      "deflection": 0.004080893503701221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_381",
      "improvement_over_parent": null
    },
    "node_383": {
      "node_id": "node_383",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6295215459997,
      "fos_buckling": 1.540608997983583,
      "fos_yielding": 2.650570580851642,
      "deflection": 0.003958319032074908,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.379)"
      },
      "parent_node_id": "node_382",
      "improvement_over_parent": null
    },
    "node_384": {
      "node_id": "node_384",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_383",
      "improvement_over_parent": null
    },
    "node_385": {
      "node_id": "node_385",
      "content": "INITIAL DESIGN (Trace 58)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 181.70 kg\n  Factor of Safety: 0.73\n  Max Deflection: 5.76e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.70100454267282,
      "fos_buckling": 0.7338837338071118,
      "fos_yielding": 2.2435114957770534,
      "deflection": 5764169826666.186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_386": {
      "node_id": "node_386",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 202.96 kg\n  Factor of Safety: 0.71\n  Max Deflection: 1.47e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.95613062456496,
      "fos_buckling": 0.707325308934532,
      "fos_yielding": 1.3746489291844388,
      "deflection": 1466569430374.6555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_385",
      "improvement_over_parent": null
    },
    "node_387": {
      "node_id": "node_387",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 204.72 kg\n  Factor of Safety: 0.69\n  Max Deflection: 2.30e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.72141426435016,
      "fos_buckling": 0.6918880131788913,
      "fos_yielding": 2.2958778628465986,
      "deflection": 2303619414708.9287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.294)"
      },
      "parent_node_id": "node_386",
      "improvement_over_parent": null
    },
    "node_388": {
      "node_id": "node_388",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 218.47 kg\n  Factor of Safety: 0.13\n  Max Deflection: 6.66e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.47088273053757,
      "fos_buckling": 0.1315818947154869,
      "fos_yielding": 0.49330718734305234,
      "deflection": 6661317459235.097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_387",
      "improvement_over_parent": null
    },
    "node_389": {
      "node_id": "node_389",
      "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 220.88 kg\n  Factor of Safety: 0.84\n  Max Deflection: 2.69e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.88093421625692,
      "fos_buckling": 0.8374437659238579,
      "fos_yielding": 3.510332533509197,
      "deflection": 2693069503623.528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.397)"
      },
      "parent_node_id": "node_388",
      "improvement_over_parent": null
    },
    "node_390": {
      "node_id": "node_390",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 238.92 kg\n  Factor of Safety: 0.36\n  Max Deflection: 2.07e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.9234704190046,
      "fos_buckling": 0.36372258200315105,
      "fos_yielding": 1.161252491131646,
      "deflection": 0.020712736190176696,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_389",
      "improvement_over_parent": null
    },
    "node_391": {
      "node_id": "node_391",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 247.56 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.56033394665815,
      "fos_buckling": 0.4690988812753741,
      "fos_yielding": 2.484422616857805,
      "deflection": 0.004477763689278879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_390",
      "improvement_over_parent": null
    },
    "node_392": {
      "node_id": "node_392",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5320873453538,
      "fos_buckling": 1.540823125071207,
      "fos_yielding": 2.6493625130824863,
      "deflection": 0.00395986868459601,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_391",
      "improvement_over_parent": null
    },
    "node_393": {
      "node_id": "node_393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_392",
      "improvement_over_parent": null
    },
    "node_394": {
      "node_id": "node_394",
      "content": "INITIAL DESIGN (Trace 59)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 226.82 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.81594857936264,
      "fos_buckling": 0.6129875803692847,
      "fos_yielding": 2.111343931393025,
      "deflection": 0.005297570810565293,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_395": {
      "node_id": "node_395",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 236.79 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.7877019780583,
      "fos_buckling": 1.163590913137916,
      "fos_yielding": 2.428227723462085,
      "deflection": 0.004586638614648162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_394",
      "improvement_over_parent": null
    },
    "node_396": {
      "node_id": "node_396",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 255.88 kg\n  Factor of Safety: 1.52\n  Max Deflection: 4.07e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.87744575286575,
      "fos_buckling": 1.5232168377769961,
      "fos_yielding": 2.499633468732865,
      "deflection": 0.004065357597437725,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_395",
      "improvement_over_parent": null
    },
    "node_397": {
      "node_id": "node_397",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5323194787102,
      "fos_buckling": 1.5408373686582322,
      "fos_yielding": 2.649363318519099,
      "deflection": 0.003959832538446902,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.245)"
      },
      "parent_node_id": "node_396",
      "improvement_over_parent": null
    },
    "node_398": {
      "node_id": "node_398",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 60)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_400": {
      "node_id": "node_400",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n\nPerformance:\n  Mass: 209.62 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.62027049843016,
      "fos_buckling": 1.0531716674210954,
      "fos_yielding": 2.1534504446088993,
      "deflection": 0.005048747153500624,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001670)"
      },
      "parent_node_id": "node_399",
      "improvement_over_parent": null
    },
    "node_401": {
      "node_id": "node_401",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 226.53 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.5282321636092,
      "fos_buckling": 1.123324874274313,
      "fos_yielding": 2.3550263165033827,
      "deflection": 0.004497589152865576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003999)"
      },
      "parent_node_id": "node_400",
      "improvement_over_parent": null
    },
    "node_402": {
      "node_id": "node_402",
      "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0060)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 231.01 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.34e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.00592643578537,
      "fos_buckling": 1.1381741619373789,
      "fos_yielding": 2.380835259221934,
      "deflection": 0.00434088104011291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.605)"
      },
      "parent_node_id": "node_401",
      "improvement_over_parent": null
    },
    "node_403": {
      "node_id": "node_403",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0068)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 260.76 kg\n  Factor of Safety: 1.27\n  Max Deflection: 3.85e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.760137594854,
      "fos_buckling": 1.271217537648691,
      "fos_yielding": 2.6842972736750883,
      "deflection": 0.003852541324130186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_402",
      "improvement_over_parent": null
    },
    "node_404": {
      "node_id": "node_404",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_403",
      "improvement_over_parent": null
    },
    "node_405": {
      "node_id": "node_405",
      "content": "INITIAL DESIGN (Trace 61)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 152.99 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.98732888192458,
      "fos_buckling": 0.1654778042575279,
      "fos_yielding": 0.9473282782311919,
      "deflection": 0.01155013664633967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_406": {
      "node_id": "node_406",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 190.47 kg\n  Factor of Safety: 0.20\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.472793867502,
      "fos_buckling": 0.19875236347769662,
      "fos_yielding": 1.1781724173878534,
      "deflection": 0.00929788325930713,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_405",
      "improvement_over_parent": null
    },
    "node_407": {
      "node_id": "node_407",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 211.73 kg\n  Factor of Safety: 0.20\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.72791994939413,
      "fos_buckling": 0.1986853213305622,
      "fos_yielding": 1.177775002196536,
      "deflection": 0.008261154297573129,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_406",
      "improvement_over_parent": null
    },
    "node_408": {
      "node_id": "node_408",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 243.68 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.67786232313165,
      "fos_buckling": 0.9508651091957995,
      "fos_yielding": 2.515468403998846,
      "deflection": 0.00475849792595411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_407",
      "improvement_over_parent": null
    },
    "node_409": {
      "node_id": "node_409",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.42733078931906,
      "fos_buckling": 1.5406979696645384,
      "fos_yielding": 2.6479066105902347,
      "deflection": 0.003961599372172346,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_408",
      "improvement_over_parent": null
    },
    "node_410": {
      "node_id": "node_410",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_409",
      "improvement_over_parent": null
    },
    "node_411": {
      "node_id": "node_411",
      "content": "INITIAL DESIGN (Trace 62)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0011)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0023)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0019)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n\nPerformance:\n  Mass: 95.78 kg\n  Factor of Safety: 0.32\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": 95.77645960289061,
      "fos_buckling": 0.31504507299483314,
      "fos_yielding": 0.7250728510568727,
      "deflection": 0.013619577517578968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_412": {
      "node_id": "node_412",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n\nPerformance:\n  Mass: 115.79 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.79299813924109,
      "fos_buckling": 0.37469986760796087,
      "fos_yielding": 0.8777449550783502,
      "deflection": 0.01127841888482705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_411",
      "improvement_over_parent": null
    },
    "node_413": {
      "node_id": "node_413",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n\nPerformance:\n  Mass: 118.32 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.3240017764088,
      "fos_buckling": 0.37467270166617933,
      "fos_yielding": 1.189707114577041,
      "deflection": 0.010120252360078914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001479)"
      },
      "parent_node_id": "node_412",
      "improvement_over_parent": null
    },
    "node_414": {
      "node_id": "node_414",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 150.13 kg\n  Factor of Safety: 0.46\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.1315847972611,
      "fos_buckling": 0.46323843105383417,
      "fos_yielding": 1.5123760922112859,
      "deflection": 0.007992285793982656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_413",
      "improvement_over_parent": null
    },
    "node_415": {
      "node_id": "node_415",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n  Mass: 180.57 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.56523332578163,
      "fos_buckling": 0.5432431545027836,
      "fos_yielding": 1.8225134164753607,
      "deflection": 0.006658051566848902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_414",
      "improvement_over_parent": null
    },
    "node_416": {
      "node_id": "node_416",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 196.97 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.20e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.96782257307908,
      "fos_buckling": 1.2464184939442375,
      "fos_yielding": 1.8295978401764057,
      "deflection": 0.005195007605762743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003637)"
      },
      "parent_node_id": "node_415",
      "improvement_over_parent": null
    },
    "node_417": {
      "node_id": "node_417",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.33 kg\n  Factor of Safety: 1.57\n  Max Deflection: 4.02e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.3280700187411,
      "fos_buckling": 1.5736526498802714,
      "fos_yielding": 2.3806884982225696,
      "deflection": 0.004020217851369292,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_416",
      "improvement_over_parent": null
    },
    "node_418": {
      "node_id": "node_418",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6635031844937,
      "fos_buckling": 1.541424665252739,
      "fos_yielding": 2.650772037587001,
      "deflection": 0.003957829743174606,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.425)"
      },
      "parent_node_id": "node_417",
      "improvement_over_parent": null
    },
    "node_419": {
      "node_id": "node_419",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_418",
      "improvement_over_parent": null
    },
    "node_420": {
      "node_id": "node_420",
      "content": "INITIAL DESIGN (Trace 63)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 237.86 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.03e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.86246541704546,
      "fos_buckling": 1.0356819863486475,
      "fos_yielding": 2.4290063448903654,
      "deflection": 0.005027192543894487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_421": {
      "node_id": "node_421",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 242.87 kg\n  Factor of Safety: 0.87\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.86569202571178,
      "fos_buckling": 0.8675392719733062,
      "fos_yielding": 2.5859816407031118,
      "deflection": 0.003889395542269877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_420",
      "improvement_over_parent": null
    },
    "node_422": {
      "node_id": "node_422",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 250.70 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.70445504369124,
      "fos_buckling": 1.481323479999111,
      "fos_yielding": 2.6616272938521885,
      "deflection": 0.004023920537857997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_421",
      "improvement_over_parent": null
    },
    "node_423": {
      "node_id": "node_423",
      "content": "MODIFICATION: Increase 14 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0043)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 254.12 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.1201853254615,
      "fos_buckling": 1.4828087716026033,
      "fos_yielding": 2.650636852396994,
      "deflection": 0.004036199889512885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.610)"
      },
      "parent_node_id": "node_422",
      "improvement_over_parent": null
    },
    "node_424": {
      "node_id": "node_424",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 64)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 195.67 kg\n  Factor of Safety: 0.84\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.6728594120258,
      "fos_buckling": 0.8413997647897762,
      "fos_yielding": 2.1581889805087826,
      "deflection": 0.005744487030442412,
      "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 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 211.64 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.6415582057475,
      "fos_buckling": 1.0548853398903144,
      "fos_yielding": 2.15764392137382,
      "deflection": 0.005038796128315615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003891)"
      },
      "parent_node_id": "node_425",
      "improvement_over_parent": null
    },
    "node_427": {
      "node_id": "node_427",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 228.58 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.58456940095522,
      "fos_buckling": 1.3969837231077318,
      "fos_yielding": 2.3546888215317616,
      "deflection": 0.004453912512838067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004008)"
      },
      "parent_node_id": "node_426",
      "improvement_over_parent": null
    },
    "node_428": {
      "node_id": "node_428",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50143176258007,
      "fos_buckling": 1.5406865575483495,
      "fos_yielding": 2.649067434773882,
      "deflection": 0.0039603404752523216,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_427",
      "improvement_over_parent": null
    },
    "node_429": {
      "node_id": "node_429",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 65)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.52 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.5231389267274,
      "fos_buckling": 1.4831662373762515,
      "fos_yielding": 2.661082758113281,
      "deflection": 0.004022066230837868,
      "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 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.16 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.00e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.16477339071176,
      "fos_buckling": 1.5041832342485026,
      "fos_yielding": 2.656154724054259,
      "deflection": 0.003996888378304089,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.259)"
      },
      "parent_node_id": "node_430",
      "improvement_over_parent": null
    },
    "node_432": {
      "node_id": "node_432",
      "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.13 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.13448401430261,
      "fos_buckling": 1.4663164452454631,
      "fos_yielding": 2.653800408777983,
      "deflection": 0.0039844738160018794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.264)"
      },
      "parent_node_id": "node_431",
      "improvement_over_parent": null
    },
    "node_433": {
      "node_id": "node_433",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51975282926605,
      "fos_buckling": 1.540751836093079,
      "fos_yielding": 2.6493820543617184,
      "deflection": 0.003959976331453715,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.289)"
      },
      "parent_node_id": "node_432",
      "improvement_over_parent": null
    },
    "node_434": {
      "node_id": "node_434",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_433",
      "improvement_over_parent": null
    },
    "node_435": {
      "node_id": "node_435",
      "content": "INITIAL DESIGN (Trace 66)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 150.23 kg\n  Factor of Safety: 0.63\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.2254691247639,
      "fos_buckling": 0.6261404379036777,
      "fos_yielding": 1.5583513901051447,
      "deflection": 0.007677765821092317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_436": {
      "node_id": "node_436",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 168.46 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.46451284523565,
      "fos_buckling": 0.6933969883169762,
      "fos_yielding": 1.7459291684272535,
      "deflection": 0.006853589496841501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_435",
      "improvement_over_parent": null
    },
    "node_437": {
      "node_id": "node_437",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 210.83 kg\n  Factor of Safety: 0.84\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.83477899443497,
      "fos_buckling": 0.8423011286450118,
      "fos_yielding": 2.180340019356518,
      "deflection": 0.005489381540438291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_436",
      "improvement_over_parent": null
    },
    "node_438": {
      "node_id": "node_438",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n  Mass: 222.73 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.72521124401635,
      "fos_buckling": 1.3669734399168187,
      "fos_yielding": 2.294961225941126,
      "deflection": 0.0045695320346336825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003307)"
      },
      "parent_node_id": "node_437",
      "improvement_over_parent": null
    },
    "node_439": {
      "node_id": "node_439",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59614006037765,
      "fos_buckling": 1.5411488070266124,
      "fos_yielding": 2.6500492444255785,
      "deflection": 0.003958899391248173,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_438",
      "improvement_over_parent": null
    },
    "node_440": {
      "node_id": "node_440",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_439",
      "improvement_over_parent": null
    },
    "node_441": {
      "node_id": "node_441",
      "content": "INITIAL DESIGN (Trace 67)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 191.36 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.51e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.35844373803175,
      "fos_buckling": 0.9732270170071003,
      "fos_yielding": 2.0246496825999496,
      "deflection": 0.005510236941138593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_442": {
      "node_id": "node_442",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 207.24 kg\n  Factor of Safety: 1.02\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.2441025947197,
      "fos_buckling": 1.017427881417146,
      "fos_yielding": 2.1961988459018174,
      "deflection": 0.004875214060430728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003738)"
      },
      "parent_node_id": "node_441",
      "improvement_over_parent": null
    },
    "node_443": {
      "node_id": "node_443",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 248.98 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.9786450140362,
      "fos_buckling": 1.1914086341307097,
      "fos_yielding": 2.633128248229251,
      "deflection": 0.004067715166646787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_442",
      "improvement_over_parent": null
    },
    "node_444": {
      "node_id": "node_444",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n  Mass: 253.68 kg\n  Factor of Safety: 1.38\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.6832145237632,
      "fos_buckling": 1.3827306871487628,
      "fos_yielding": 2.645933652490979,
      "deflection": 0.003994597343139563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002058)"
      },
      "parent_node_id": "node_443",
      "improvement_over_parent": null
    },
    "node_445": {
      "node_id": "node_445",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n  Mass: 257.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2897632424468,
      "fos_buckling": 1.540941851502289,
      "fos_yielding": 2.6473893890640507,
      "deflection": 0.003955489871534597,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.451)"
      },
      "parent_node_id": "node_444",
      "improvement_over_parent": null
    },
    "node_446": {
      "node_id": "node_446",
      "content": "MODIFICATION: Increase 12 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0072)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n  Mass: 263.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.89e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 263.7318628636042,
      "fos_buckling": 1.5437930208246073,
      "fos_yielding": 2.6543827575251364,
      "deflection": 0.00389135719886436,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.227)"
      },
      "parent_node_id": "node_445",
      "improvement_over_parent": null
    },
    "node_447": {
      "node_id": "node_447",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_446",
      "improvement_over_parent": null
    },
    "node_448": {
      "node_id": "node_448",
      "content": "INITIAL DESIGN (Trace 68)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 215.38 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.42e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.38048400762875,
      "fos_buckling": 0.6755436588554189,
      "fos_yielding": 2.3287333049567565,
      "deflection": 0.0054211843188068385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_449": {
      "node_id": "node_449",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 219.54 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.54497756572712,
      "fos_buckling": 1.2092159946916974,
      "fos_yielding": 2.345165480155702,
      "deflection": 0.004590472218241061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002594)"
      },
      "parent_node_id": "node_448",
      "improvement_over_parent": null
    },
    "node_450": {
      "node_id": "node_450",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 222.19 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.18903359923044,
      "fos_buckling": 1.200444404306071,
      "fos_yielding": 2.3425839800659713,
      "deflection": 0.004569794662225358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.183)"
      },
      "parent_node_id": "node_449",
      "improvement_over_parent": null
    },
    "node_451": {
      "node_id": "node_451",
      "content": "MODIFICATION: Increase 20 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n\nPerformance:\n  Mass: 223.33 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.32920827066067,
      "fos_buckling": 1.2208005706999165,
      "fos_yielding": 2.3428952881869685,
      "deflection": 0.004552352198755475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.305)"
      },
      "parent_node_id": "node_450",
      "improvement_over_parent": null
    },
    "node_452": {
      "node_id": "node_452",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n  Mass: 252.83 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.8258735757137,
      "fos_buckling": 1.3593785188932277,
      "fos_yielding": 2.6484952858978486,
      "deflection": 0.00402775093330885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_451",
      "improvement_over_parent": null
    },
    "node_453": {
      "node_id": "node_453",
      "content": "MODIFICATION: Increase 18 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0053)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n  Mass: 255.97 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.9665796102889,
      "fos_buckling": 1.3986283223100686,
      "fos_yielding": 2.648994440379876,
      "deflection": 0.00400241565412338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.196)"
      },
      "parent_node_id": "node_452",
      "improvement_over_parent": null
    },
    "node_454": {
      "node_id": "node_454",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_453",
      "improvement_over_parent": null
    },
    "node_455": {
      "node_id": "node_455",
      "content": "INITIAL DESIGN (Trace 69)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 184.07 kg\n  Factor of Safety: 0.24\n  Max Deflection: 4.70e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.07392708746642,
      "fos_buckling": 0.24018924664202515,
      "fos_yielding": 2.1447845488756476,
      "deflection": 4702579702464.406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_456": {
      "node_id": "node_456",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 198.74 kg\n  Factor of Safety: 0.38\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": 198.73505336867535,
      "fos_buckling": 0.3816546295593679,
      "fos_yielding": 1.2026064622905446,
      "deflection": 0.014224018816832286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003542)"
      },
      "parent_node_id": "node_455",
      "improvement_over_parent": null
    },
    "node_457": {
      "node_id": "node_457",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 219.62 kg\n  Factor of Safety: 0.41\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": 219.62014526656318,
      "fos_buckling": 0.41499689632759285,
      "fos_yielding": 1.3270453129775435,
      "deflection": 0.012885396889694584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_456",
      "improvement_over_parent": null
    },
    "node_458": {
      "node_id": "node_458",
      "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 221.99 kg\n  Factor of Safety: 0.41\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": 221.99209366731645,
      "fos_buckling": 0.41491230892548175,
      "fos_yielding": 1.3267756285103474,
      "deflection": 0.012629241505744822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.414)"
      },
      "parent_node_id": "node_457",
      "improvement_over_parent": null
    },
    "node_459": {
      "node_id": "node_459",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 247.26 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.25955647777258,
      "fos_buckling": 0.4531664388797267,
      "fos_yielding": 1.475298243950156,
      "deflection": 0.011355214755874705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_458",
      "improvement_over_parent": null
    },
    "node_460": {
      "node_id": "node_460",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 255.90 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.89642000542614,
      "fos_buckling": 1.4528144551008646,
      "fos_yielding": 2.640365829500791,
      "deflection": 0.003986691596629484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_459",
      "improvement_over_parent": null
    },
    "node_461": {
      "node_id": "node_461",
      "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.17 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.16681364632194,
      "fos_buckling": 1.476296276973074,
      "fos_yielding": 2.6414802844912955,
      "deflection": 0.0039806469944904345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.215)"
      },
      "parent_node_id": "node_460",
      "improvement_over_parent": null
    },
    "node_462": {
      "node_id": "node_462",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_461",
      "improvement_over_parent": null
    },
    "node_463": {
      "node_id": "node_463",
      "content": "INITIAL DESIGN (Trace 70)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.23 kg\n  Factor of Safety: 0.50\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.23155483990897,
      "fos_buckling": 0.4957266728053021,
      "fos_yielding": 2.497085957037467,
      "deflection": 0.004500222801688024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_464": {
      "node_id": "node_464",
      "content": "MODIFICATION: Increase 16 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.19 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.1906004745218,
      "fos_buckling": 0.4747066165194025,
      "fos_yielding": 2.4870537046471832,
      "deflection": 0.004504156829188686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.416)"
      },
      "parent_node_id": "node_463",
      "improvement_over_parent": null
    },
    "node_465": {
      "node_id": "node_465",
      "content": "MODIFICATION: Increase 4 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.55 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.55113664087676,
      "fos_buckling": 0.46911997101108444,
      "fos_yielding": 2.4844335873513916,
      "deflection": 0.004477837202833289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.410)"
      },
      "parent_node_id": "node_464",
      "improvement_over_parent": null
    },
    "node_466": {
      "node_id": "node_466",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5228900395724,
      "fos_buckling": 1.540799013116827,
      "fos_yielding": 2.649373773011499,
      "deflection": 0.003959964917831343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_465",
      "improvement_over_parent": null
    },
    "node_467": {
      "node_id": "node_467",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_466",
      "improvement_over_parent": null
    },
    "node_468": {
      "node_id": "node_468",
      "content": "INITIAL DESIGN (Trace 71)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 198.66 kg\n  Factor of Safety: 0.61\n  Max Deflection: 6.64e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.66262107562454,
      "fos_buckling": 0.6077002453791727,
      "fos_yielding": 2.1429201249152765,
      "deflection": 0.006637973762353355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_469": {
      "node_id": "node_469",
      "content": "MODIFICATION: Increase 18 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 202.43 kg\n  Factor of Safety: 0.61\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.42520110694448,
      "fos_buckling": 0.6072454953390631,
      "fos_yielding": 2.1427926201507765,
      "deflection": 0.006353552865982505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.337)"
      },
      "parent_node_id": "node_468",
      "improvement_over_parent": null
    },
    "node_470": {
      "node_id": "node_470",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n  Mass: 206.84 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.8369593259018,
      "fos_buckling": 0.6071693889495471,
      "fos_yielding": 2.180364597891845,
      "deflection": 0.005759463565272876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002668)"
      },
      "parent_node_id": "node_469",
      "improvement_over_parent": null
    },
    "node_471": {
      "node_id": "node_471",
      "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0053)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n  Mass: 212.01 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.0081655485408,
      "fos_buckling": 0.6067237347938299,
      "fos_yielding": 2.1787588558466116,
      "deflection": 0.005750444308344929,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.364)"
      },
      "parent_node_id": "node_470",
      "improvement_over_parent": null
    },
    "node_472": {
      "node_id": "node_472",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 240.47 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.46783903279902,
      "fos_buckling": 0.6721941909192842,
      "fos_yielding": 2.466649279597129,
      "deflection": 0.005077690723828668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_471",
      "improvement_over_parent": null
    },
    "node_473": {
      "node_id": "node_473",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 261.72 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.7229651146912,
      "fos_buckling": 1.4780252967565524,
      "fos_yielding": 2.654401423207834,
      "deflection": 0.003919412945507456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_472",
      "improvement_over_parent": null
    },
    "node_474": {
      "node_id": "node_474",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_473",
      "improvement_over_parent": null
    },
    "node_475": {
      "node_id": "node_475",
      "content": "INITIAL DESIGN (Trace 72)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 192.68 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": 192.68243188453863,
      "fos_buckling": 0.3903706220578694,
      "fos_yielding": 0.751356109550997,
      "deflection": 0.01598850279976192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_476": {
      "node_id": "node_476",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 199.89 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.89058121574033,
      "fos_buckling": 0.7988770252630502,
      "fos_yielding": 2.199380229800416,
      "deflection": 0.005472133310789389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003303)"
      },
      "parent_node_id": "node_475",
      "improvement_over_parent": null
    },
    "node_477": {
      "node_id": "node_477",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 239.57 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.5681390426243,
      "fos_buckling": 0.9267982576898471,
      "fos_yielding": 2.630987395872718,
      "deflection": 0.004576698768375434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_476",
      "improvement_over_parent": null
    },
    "node_478": {
      "node_id": "node_478",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5575036092842,
      "fos_buckling": 1.54096988198046,
      "fos_yielding": 2.6496633315578677,
      "deflection": 0.0039594313576073415,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_477",
      "improvement_over_parent": null
    },
    "node_479": {
      "node_id": "node_479",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 73)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.08 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.41e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.0816468723916,
      "fos_buckling": 0.03455252435964874,
      "fos_yielding": 0.430216332080474,
      "deflection": 0.024076639851160327,
      "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 all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 199.65 kg\n  Factor of Safety: 0.04\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": 199.653522392207,
      "fos_buckling": 0.04095616725759715,
      "fos_yielding": 0.5226926506922985,
      "deflection": 0.019824619114648986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_480",
      "improvement_over_parent": null
    },
    "node_482": {
      "node_id": "node_482",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 207.35 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.35202156040705,
      "fos_buckling": 1.2868022398310561,
      "fos_yielding": 2.138050647479905,
      "deflection": 0.00490405680615922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003343)"
      },
      "parent_node_id": "node_481",
      "improvement_over_parent": null
    },
    "node_483": {
      "node_id": "node_483",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58622568954036,
      "fos_buckling": 1.5411160648810824,
      "fos_yielding": 2.6499399462038973,
      "deflection": 0.0039591205836984975,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_482",
      "improvement_over_parent": null
    },
    "node_484": {
      "node_id": "node_484",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_483",
      "improvement_over_parent": null
    },
    "node_485": {
      "node_id": "node_485",
      "content": "INITIAL DESIGN (Trace 74)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 173.83 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.82789500604056,
      "fos_buckling": 0.8860844040341891,
      "fos_yielding": 1.7612443762710142,
      "deflection": 0.006327227571329292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_486": {
      "node_id": "node_486",
      "content": "MODIFICATION: Increase 18 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 177.91 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.90722543174851,
      "fos_buckling": 0.8860271450897574,
      "fos_yielding": 1.76113056432103,
      "deflection": 0.006220552862835601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.385)"
      },
      "parent_node_id": "node_485",
      "improvement_over_parent": null
    },
    "node_487": {
      "node_id": "node_487",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.09 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.59e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.09333748772735,
      "fos_buckling": 0.9718104222361954,
      "fos_yielding": 1.9592581405776834,
      "deflection": 0.0055938242030366256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_486",
      "improvement_over_parent": null
    },
    "node_488": {
      "node_id": "node_488",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.73 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.72962696813954,
      "fos_buckling": 1.1624551493496846,
      "fos_yielding": 2.4254529721172546,
      "deflection": 0.0045230427669138715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_487",
      "improvement_over_parent": null
    },
    "node_489": {
      "node_id": "node_489",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 252.29 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.28841515628915,
      "fos_buckling": 1.161853335483628,
      "fos_yielding": 2.424197292505962,
      "deflection": 0.004486462414495772,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_488",
      "improvement_over_parent": null
    },
    "node_490": {
      "node_id": "node_490",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2916417649555,
      "fos_buckling": 1.5397241556900294,
      "fos_yielding": 2.6469134848407836,
      "deflection": 0.0039635936278973796,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_489",
      "improvement_over_parent": null
    },
    "node_491": {
      "node_id": "node_491",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_490",
      "improvement_over_parent": null
    },
    "node_492": {
      "node_id": "node_492",
      "content": "INITIAL DESIGN (Trace 75)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 238.92 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.9235325620409,
      "fos_buckling": 1.1331590617739704,
      "fos_yielding": 2.7190385447113212,
      "deflection": 0.00406145365455864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_493": {
      "node_id": "node_493",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 245.48 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.4823207501905,
      "fos_buckling": 1.1281172906561745,
      "fos_yielding": 2.651661465463175,
      "deflection": 0.004132103817101559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_492",
      "improvement_over_parent": null
    },
    "node_494": {
      "node_id": "node_494",
      "content": "MODIFICATION: Increase 20 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0044)]\n\nPerformance:\n  Mass: 249.08 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.08022821778098,
      "fos_buckling": 1.126880714124281,
      "fos_yielding": 2.638190136655797,
      "deflection": 0.004146873993549554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.645)"
      },
      "parent_node_id": "node_493",
      "improvement_over_parent": null
    },
    "node_495": {
      "node_id": "node_495",
      "content": "MODIFICATION: Increase 19 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0044)]\n\nPerformance:\n  Mass: 253.21 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.20760915182353,
      "fos_buckling": 1.3356499319520592,
      "fos_yielding": 2.6358550065997877,
      "deflection": 0.004066538248170794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.332)"
      },
      "parent_node_id": "node_494",
      "improvement_over_parent": null
    },
    "node_496": {
      "node_id": "node_496",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_495",
      "improvement_over_parent": null
    },
    "node_497": {
      "node_id": "node_497",
      "content": "INITIAL DESIGN (Trace 76)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_498": {
      "node_id": "node_498",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 211.55 kg\n  Factor of Safety: 1.06\n  Max Deflection: 5.23e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.55444290558628,
      "fos_buckling": 1.0556607976764543,
      "fos_yielding": 2.1595745782795914,
      "deflection": 0.005228166150753497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004012)"
      },
      "parent_node_id": "node_497",
      "improvement_over_parent": null
    },
    "node_499": {
      "node_id": "node_499",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n  Mass: 216.00 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.9997074790482,
      "fos_buckling": 1.1232071168740028,
      "fos_yielding": 2.389303096281267,
      "deflection": 0.00467811727592908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002690)"
      },
      "parent_node_id": "node_498",
      "improvement_over_parent": null
    },
    "node_500": {
      "node_id": "node_500",
      "content": "MODIFICATION: Increase 15 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n\nPerformance:\n  Mass: 224.53 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.53399502045048,
      "fos_buckling": 1.097292839025446,
      "fos_yielding": 2.3825169396439057,
      "deflection": 0.004632765232395263,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.610)"
      },
      "parent_node_id": "node_499",
      "improvement_over_parent": null
    },
    "node_501": {
      "node_id": "node_501",
      "content": "MODIFICATION: Increase 20 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0035)]\n\nPerformance:\n  Mass: 225.67 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.66837433391777,
      "fos_buckling": 1.0898793218719105,
      "fos_yielding": 2.380662638009843,
      "deflection": 0.004620005713307785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.284)"
      },
      "parent_node_id": "node_500",
      "improvement_over_parent": null
    },
    "node_502": {
      "node_id": "node_502",
      "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0063)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0035)]\n\nPerformance:\n  Mass: 232.02 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.02080803320064,
      "fos_buckling": 1.066321704883361,
      "fos_yielding": 2.3743545754023985,
      "deflection": 0.004577783284716473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.422)"
      },
      "parent_node_id": "node_501",
      "improvement_over_parent": null
    },
    "node_503": {
      "node_id": "node_503",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0071)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0039)]\n\nPerformance:\n  Mass: 260.92 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.9183956130752,
      "fos_buckling": 1.1878630562015133,
      "fos_yielding": 2.6688490319503764,
      "deflection": 0.004072882716031197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_502",
      "improvement_over_parent": null
    },
    "node_504": {
      "node_id": "node_504",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_503",
      "improvement_over_parent": null
    },
    "node_505": {
      "node_id": "node_505",
      "content": "INITIAL DESIGN (Trace 77)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 126.10 kg\n  Factor of Safety: 0.12\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": 126.10319870804847,
      "fos_buckling": 0.12181880063491486,
      "fos_yielding": 0.6492760807327386,
      "deflection": 0.015510185524143759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_506": {
      "node_id": "node_506",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n\nPerformance:\n  Mass: 144.63 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.63105138769856,
      "fos_buckling": 0.8471796381468374,
      "fos_yielding": 1.5363700689066628,
      "deflection": 0.0069445549988977635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003293)"
      },
      "parent_node_id": "node_505",
      "improvement_over_parent": null
    },
    "node_507": {
      "node_id": "node_507",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n\nPerformance:\n  Mass: 146.22 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.2215813111523,
      "fos_buckling": 0.8484199090380671,
      "fos_yielding": 1.5386193145079734,
      "deflection": 0.006985120937579665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.565)"
      },
      "parent_node_id": "node_506",
      "improvement_over_parent": null
    },
    "node_508": {
      "node_id": "node_508",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n  Mass: 167.22 kg\n  Factor of Safety: 0.96\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.22269575646044,
      "fos_buckling": 0.9593477769415882,
      "fos_yielding": 1.7593007655140938,
      "deflection": 0.006114730355943828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_507",
      "improvement_over_parent": null
    },
    "node_509": {
      "node_id": "node_509",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n  Mass: 197.67 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.66843490352895,
      "fos_buckling": 1.115296702831943,
      "fos_yielding": 2.079232642069837,
      "deflection": 0.005181300650716064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_508",
      "improvement_over_parent": null
    },
    "node_510": {
      "node_id": "node_510",
      "content": "MODIFICATION: Increase 17 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n  Mass: 201.73 kg\n  Factor of Safety: 1.14\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.73278944631258,
      "fos_buckling": 1.1363738216417687,
      "fos_yielding": 2.0913966380719047,
      "deflection": 0.0051057107917664765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.271)"
      },
      "parent_node_id": "node_509",
      "improvement_over_parent": null
    },
    "node_511": {
      "node_id": "node_511",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n  Mass: 203.07 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.06691397449137,
      "fos_buckling": 1.2557920075631819,
      "fos_yielding": 2.0885019563252354,
      "deflection": 0.004999415465481361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.263)"
      },
      "parent_node_id": "node_510",
      "improvement_over_parent": null
    },
    "node_512": {
      "node_id": "node_512",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 259.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.93e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.20306417480083,
      "fos_buckling": 1.5397163490445513,
      "fos_yielding": 2.659751218306716,
      "deflection": 0.003929108367234424,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_511",
      "improvement_over_parent": null
    },
    "node_513": {
      "node_id": "node_513",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_512",
      "improvement_over_parent": null
    },
    "node_514": {
      "node_id": "node_514",
      "content": "INITIAL DESIGN (Trace 78)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 145.01 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.01258308970472,
      "fos_buckling": 0.7651154657373492,
      "fos_yielding": 1.6053573847749498,
      "deflection": 0.0069283722127108085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_515": {
      "node_id": "node_515",
      "content": "MODIFICATION: Increase 13 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 150.95 kg\n  Factor of Safety: 0.81\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.9463371344319,
      "fos_buckling": 0.8080926726836787,
      "fos_yielding": 1.6161204531792865,
      "deflection": 0.0066720690318996505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.466)"
      },
      "parent_node_id": "node_514",
      "improvement_over_parent": null
    },
    "node_516": {
      "node_id": "node_516",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 171.59 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.58523398257574,
      "fos_buckling": 0.9092625720496947,
      "fos_yielding": 1.834983451820458,
      "deflection": 0.005876458049265502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_515",
      "improvement_over_parent": null
    },
    "node_517": {
      "node_id": "node_517",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 172.62 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.6247244420451,
      "fos_buckling": 0.9485071711091674,
      "fos_yielding": 1.834399299621735,
      "deflection": 0.005824009373051373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.395)"
      },
      "parent_node_id": "node_516",
      "improvement_over_parent": null
    },
    "node_518": {
      "node_id": "node_518",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 194.24 kg\n  Factor of Safety: 1.06\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.24184394868934,
      "fos_buckling": 1.055584557741519,
      "fos_yielding": 2.061712942189188,
      "deflection": 0.005182398151262324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_517",
      "improvement_over_parent": null
    },
    "node_519": {
      "node_id": "node_519",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.16 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.15831734287173,
      "fos_buckling": 1.3250652340245461,
      "fos_yielding": 2.65760984588892,
      "deflection": 0.004021336934487455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_518",
      "improvement_over_parent": null
    },
    "node_520": {
      "node_id": "node_520",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.20 kg\n  Factor of Safety: 1.47\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.20022842983664,
      "fos_buckling": 1.4721245830899137,
      "fos_yielding": 2.6580795729234685,
      "deflection": 0.004002884594484801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.311)"
      },
      "parent_node_id": "node_519",
      "improvement_over_parent": null
    },
    "node_521": {
      "node_id": "node_521",
      "content": "MODIFICATION: Increase 17 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.62520392403616,
      "fos_buckling": 1.5413150879500441,
      "fos_yielding": 2.6500960297629104,
      "deflection": 0.003958590283817076,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.471)"
      },
      "parent_node_id": "node_520",
      "improvement_over_parent": null
    },
    "node_522": {
      "node_id": "node_522",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_521",
      "improvement_over_parent": null
    },
    "node_523": {
      "node_id": "node_523",
      "content": "INITIAL DESIGN (Trace 79)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 157.01 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.01025580363654,
      "fos_buckling": 0.49801607107024015,
      "fos_yielding": 1.7308023269443222,
      "deflection": 0.007284015526214812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_524": {
      "node_id": "node_524",
      "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 158.20 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.20471924761605,
      "fos_buckling": 0.4979990970188248,
      "fos_yielding": 1.730743177748088,
      "deflection": 0.0072400937126165825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.553)"
      },
      "parent_node_id": "node_523",
      "improvement_over_parent": null
    },
    "node_525": {
      "node_id": "node_525",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 198.00 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.00020850578906,
      "fos_buckling": 0.6021898508965609,
      "fos_yielding": 2.158904581087432,
      "deflection": 0.005801647661261599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_524",
      "improvement_over_parent": null
    },
    "node_526": {
      "node_id": "node_526",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 203.73 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.72545681897932,
      "fos_buckling": 0.6018959789093911,
      "fos_yielding": 2.157847512861059,
      "deflection": 0.005850197587733519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002307)"
      },
      "parent_node_id": "node_525",
      "improvement_over_parent": null
    },
    "node_527": {
      "node_id": "node_527",
      "content": "MODIFICATION: Increase 14 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 206.12 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.12082051653783,
      "fos_buckling": 0.601855017723211,
      "fos_yielding": 2.1577001742576853,
      "deflection": 0.00582673303611513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.182)"
      },
      "parent_node_id": "node_526",
      "improvement_over_parent": null
    },
    "node_528": {
      "node_id": "node_528",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 236.14 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.14116473932256,
      "fos_buckling": 0.6721694498629248,
      "fos_yielding": 2.4661613940349634,
      "deflection": 0.005095969807581859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_527",
      "improvement_over_parent": null
    },
    "node_529": {
      "node_id": "node_529",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.39629082121473,
      "fos_buckling": 1.5400948053612564,
      "fos_yielding": 2.6479113237159217,
      "deflection": 0.003961985860956954,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_528",
      "improvement_over_parent": null
    },
    "node_530": {
      "node_id": "node_530",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_529",
      "improvement_over_parent": null
    },
    "node_531": {
      "node_id": "node_531",
      "content": "INITIAL DESIGN (Trace 80)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_532": {
      "node_id": "node_532",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 228.69 kg\n  Factor of Safety: 0.58\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.69035053785217,
      "fos_buckling": 0.5766344678157946,
      "fos_yielding": 2.0820998059206737,
      "deflection": 0.004620350158538843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_531",
      "improvement_over_parent": null
    },
    "node_533": {
      "node_id": "node_533",
      "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 231.70 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.70197965548283,
      "fos_buckling": 0.6664344882629505,
      "fos_yielding": 2.549303683732552,
      "deflection": 0.004435700828582061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.504)"
      },
      "parent_node_id": "node_532",
      "improvement_over_parent": null
    },
    "node_534": {
      "node_id": "node_534",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 249.69 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.69134422214273,
      "fos_buckling": 0.7290977328662843,
      "fos_yielding": 2.5618236774180057,
      "deflection": 0.0038156633290521943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_533",
      "improvement_over_parent": null
    },
    "node_535": {
      "node_id": "node_535",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53010724012216,
      "fos_buckling": 1.5408265181592982,
      "fos_yielding": 2.6493789145604825,
      "deflection": 0.003959866139121169,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_534",
      "improvement_over_parent": null
    },
    "node_536": {
      "node_id": "node_536",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_535",
      "improvement_over_parent": null
    },
    "node_537": {
      "node_id": "node_537",
      "content": "INITIAL DESIGN (Trace 81)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 153.92 kg\n  Factor of Safety: 0.03\n  Max Deflection: 3.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.9172008351539,
      "fos_buckling": 0.03464360438919059,
      "fos_yielding": 0.43145981347601353,
      "deflection": 0.0340025659854377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_538": {
      "node_id": "node_538",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 159.12 kg\n  Factor of Safety: 0.03\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": 159.1159836797033,
      "fos_buckling": 0.034626472780044416,
      "fos_yielding": 0.4312464522794211,
      "deflection": 0.02461856866336625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002085)"
      },
      "parent_node_id": "node_537",
      "improvement_over_parent": null
    },
    "node_539": {
      "node_id": "node_539",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 161.02 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.35e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.0171556468006,
      "fos_buckling": 0.034621255353097236,
      "fos_yielding": 0.43118147318451616,
      "deflection": 0.023528685333474908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.224)"
      },
      "parent_node_id": "node_538",
      "improvement_over_parent": null
    },
    "node_540": {
      "node_id": "node_540",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0036)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n  Mass: 186.57 kg\n  Factor of Safety: 0.04\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": 186.57163754645393,
      "fos_buckling": 0.039355699815283314,
      "fos_yielding": 0.49907821124287993,
      "deflection": 0.020342963393614508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_539",
      "improvement_over_parent": null
    },
    "node_541": {
      "node_id": "node_541",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 242.98 kg\n  Factor of Safety: 0.05\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": 242.97893989514418,
      "fos_buckling": 0.04907660115722743,
      "fos_yielding": 0.6484406799358123,
      "deflection": 0.01568422250220136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_540",
      "improvement_over_parent": null
    },
    "node_542": {
      "node_id": "node_542",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 247.70 kg\n  Factor of Safety: 0.05\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": 247.69575914450576,
      "fos_buckling": 0.04907294516585676,
      "fos_yielding": 0.6483923739514055,
      "deflection": 0.015386497551807318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_541",
      "improvement_over_parent": null
    },
    "node_543": {
      "node_id": "node_543",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.26 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2589001237256,
      "fos_buckling": 1.520025251934718,
      "fos_yielding": 2.644265533471034,
      "deflection": 0.003952777954041517,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_542",
      "improvement_over_parent": null
    },
    "node_544": {
      "node_id": "node_544",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_543",
      "improvement_over_parent": null
    },
    "node_545": {
      "node_id": "node_545",
      "content": "INITIAL DESIGN (Trace 82)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 184.16 kg\n  Factor of Safety: 0.40\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.16366935386492,
      "fos_buckling": 0.40172676420166287,
      "fos_yielding": 1.5029313674988727,
      "deflection": 0.006211348997047092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_546": {
      "node_id": "node_546",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n  Mass: 191.83 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.8286962430783,
      "fos_buckling": 1.0057005470667697,
      "fos_yielding": 1.6061385608638423,
      "deflection": 0.005495980018974386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002752)"
      },
      "parent_node_id": "node_545",
      "improvement_over_parent": null
    },
    "node_547": {
      "node_id": "node_547",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 222.83 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.828517326923,
      "fos_buckling": 1.1532443164429913,
      "fos_yielding": 1.867673800121425,
      "deflection": 0.004737293429630484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_546",
      "improvement_over_parent": null
    },
    "node_548": {
      "node_id": "node_548",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 224.83 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.82561506507028,
      "fos_buckling": 1.1401369318469852,
      "fos_yielding": 2.1910962687051545,
      "deflection": 0.0045628738438630466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.300)"
      },
      "parent_node_id": "node_547",
      "improvement_over_parent": null
    },
    "node_549": {
      "node_id": "node_549",
      "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 228.62 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.61641745452246,
      "fos_buckling": 1.2771454831158964,
      "fos_yielding": 2.2001488499560677,
      "deflection": 0.004504193304302787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.639)"
      },
      "parent_node_id": "node_548",
      "improvement_over_parent": null
    },
    "node_550": {
      "node_id": "node_550",
      "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 229.84 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.84241845579152,
      "fos_buckling": 1.4034177097673253,
      "fos_yielding": 2.3656984740449563,
      "deflection": 0.0044302528917951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.182)"
      },
      "parent_node_id": "node_549",
      "improvement_over_parent": null
    },
    "node_551": {
      "node_id": "node_551",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.66014844634543,
      "fos_buckling": 1.541487302091852,
      "fos_yielding": 2.6486783176707127,
      "deflection": 0.00395828417779392,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_550",
      "improvement_over_parent": null
    },
    "node_552": {
      "node_id": "node_552",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_551",
      "improvement_over_parent": null
    },
    "node_553": {
      "node_id": "node_553",
      "content": "INITIAL DESIGN (Trace 83)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 146.23 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.37e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.22777644704405,
      "fos_buckling": 0.3904891368451627,
      "fos_yielding": 1.755166266754598,
      "deflection": 13653053051944.066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_554": {
      "node_id": "node_554",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 163.15 kg\n  Factor of Safety: 0.13\n  Max Deflection: 4.80e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.154958999475,
      "fos_buckling": 0.12965620091586072,
      "fos_yielding": 0.18803252798631173,
      "deflection": 48034879760223.04,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003762)"
      },
      "parent_node_id": "node_553",
      "improvement_over_parent": null
    },
    "node_555": {
      "node_id": "node_555",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 204.84 kg\n  Factor of Safety: 1.13\n  Max Deflection: 2.70e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.844372695053,
      "fos_buckling": 1.129994677638493,
      "fos_yielding": 3.6780903679964885,
      "deflection": 2695910533330.138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_554",
      "improvement_over_parent": null
    },
    "node_556": {
      "node_id": "node_556",
      "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 208.61 kg\n  Factor of Safety: 1.00\n  Max Deflection: 2.09e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.60864417317356,
      "fos_buckling": 1.0046426017314345,
      "fos_yielding": 3.6780903679964885,
      "deflection": 2094687286392.194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.538)"
      },
      "parent_node_id": "node_555",
      "improvement_over_parent": null
    },
    "node_557": {
      "node_id": "node_557",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 226.60 kg\n  Factor of Safety: 0.57\n  Max Deflection: 2.16e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.59800873983346,
      "fos_buckling": 0.5716774749734259,
      "fos_yielding": 4.680443378012263,
      "deflection": 2161175363805.953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_556",
      "improvement_over_parent": null
    },
    "node_558": {
      "node_id": "node_558",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 227.85 kg\n  Factor of Safety: 0.38\n  Max Deflection: 3.11e+12 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.84846958112593,
      "fos_buckling": 0.38111831664895063,
      "fos_yielding": 3.510332533509197,
      "deflection": 3112051352185.213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.366)"
      },
      "parent_node_id": "node_557",
      "improvement_over_parent": null
    },
    "node_559": {
      "node_id": "node_559",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 248.80 kg\n  Factor of Safety: 0.45\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": 248.80465358794154,
      "fos_buckling": 0.45313561902064897,
      "fos_yielding": 1.474560790798882,
      "deflection": 0.011119617854234253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_558",
      "improvement_over_parent": null
    },
    "node_560": {
      "node_id": "node_560",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4415171155951,
      "fos_buckling": 1.5402789819215559,
      "fos_yielding": 2.6483860593701842,
      "deflection": 0.003961171609099669,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_559",
      "improvement_over_parent": null
    },
    "node_561": {
      "node_id": "node_561",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_560",
      "improvement_over_parent": null
    },
    "node_562": {
      "node_id": "node_562",
      "content": "INITIAL DESIGN (Trace 84)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 153.32 kg\n  Factor of Safety: 0.82\n  Max Deflection: 6.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.31924130500968,
      "fos_buckling": 0.8194718546778462,
      "fos_yielding": 1.3554025959834701,
      "deflection": 0.006737832042757162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_563": {
      "node_id": "node_563",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 175.83 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.83486813450185,
      "fos_buckling": 0.9298069581277674,
      "fos_yielding": 1.5554618871926293,
      "deflection": 0.005881520161908567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_562",
      "improvement_over_parent": null
    },
    "node_564": {
      "node_id": "node_564",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 219.11 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.10788829137135,
      "fos_buckling": 1.1346764644762588,
      "fos_yielding": 1.9410199047660774,
      "deflection": 0.004729824001879939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_563",
      "improvement_over_parent": null
    },
    "node_565": {
      "node_id": "node_565",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 221.11 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.10520530763648,
      "fos_buckling": 1.1364687565056468,
      "fos_yielding": 2.337845471940816,
      "deflection": 0.004591078557466108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.337)"
      },
      "parent_node_id": "node_564",
      "improvement_over_parent": null
    },
    "node_566": {
      "node_id": "node_566",
      "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 226.72 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.72142942506147,
      "fos_buckling": 1.3874547180504213,
      "fos_yielding": 2.3356100637446233,
      "deflection": 0.004490210036159045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.464)"
      },
      "parent_node_id": "node_565",
      "improvement_over_parent": null
    },
    "node_567": {
      "node_id": "node_567",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4685230506536,
      "fos_buckling": 1.54050829107364,
      "fos_yielding": 2.648638029736889,
      "deflection": 0.003960994361825623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_566",
      "improvement_over_parent": null
    },
    "node_568": {
      "node_id": "node_568",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_567",
      "improvement_over_parent": null
    },
    "node_569": {
      "node_id": "node_569",
      "content": "INITIAL DESIGN (Trace 85)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 158.51 kg\n  Factor of Safety: 0.83\n  Max Deflection: 7.13e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.50570316497704,
      "fos_buckling": 0.8292466771611917,
      "fos_yielding": 1.0565260750023422,
      "deflection": 0.007125801560129584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_570": {
      "node_id": "node_570",
      "content": "MODIFICATION: Increase 14 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 161.27 kg\n  Factor of Safety: 0.83\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.26505512638496,
      "fos_buckling": 0.8290653243340507,
      "fos_yielding": 1.0562950171085592,
      "deflection": 0.007001874121543346,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.453)"
      },
      "parent_node_id": "node_569",
      "improvement_over_parent": null
    },
    "node_571": {
      "node_id": "node_571",
      "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 163.24 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.23842864168807,
      "fos_buckling": 0.828987531062656,
      "fos_yielding": 1.6314908520305864,
      "deflection": 0.006707721269879428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.577)"
      },
      "parent_node_id": "node_570",
      "improvement_over_parent": null
    },
    "node_572": {
      "node_id": "node_572",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n\nPerformance:\n  Mass: 166.59 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.59295599096083,
      "fos_buckling": 1.018496980224482,
      "fos_yielding": 1.829705216393583,
      "deflection": 0.005813889075878324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001989)"
      },
      "parent_node_id": "node_571",
      "improvement_over_parent": null
    },
    "node_573": {
      "node_id": "node_573",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n\nPerformance:\n  Mass: 215.61 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.60722548855603,
      "fos_buckling": 1.2745253601260003,
      "fos_yielding": 2.36159769691464,
      "deflection": 0.004506211746950194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_572",
      "improvement_over_parent": null
    },
    "node_574": {
      "node_id": "node_574",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 221.30 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.29581834793615,
      "fos_buckling": 1.2991562275451862,
      "fos_yielding": 2.305326541269403,
      "deflection": 0.004584835804060015,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002291)"
      },
      "parent_node_id": "node_573",
      "improvement_over_parent": null
    },
    "node_575": {
      "node_id": "node_575",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 255.17 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.1653239833399,
      "fos_buckling": 1.4694163213665534,
      "fos_yielding": 2.653669739499436,
      "deflection": 0.003984207940414946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_574",
      "improvement_over_parent": null
    },
    "node_576": {
      "node_id": "node_576",
      "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.13 kg\n  Factor of Safety: 1.44\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.1315564010864,
      "fos_buckling": 1.4407067326314587,
      "fos_yielding": 2.659840601663182,
      "deflection": 0.003995035093422938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.284)"
      },
      "parent_node_id": "node_575",
      "improvement_over_parent": null
    },
    "node_577": {
      "node_id": "node_577",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_576",
      "improvement_over_parent": null
    },
    "node_578": {
      "node_id": "node_578",
      "content": "INITIAL DESIGN (Trace 86)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0013)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 107.36 kg\n  Factor of Safety: 0.56\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.36209007709931,
      "fos_buckling": 0.5550029161756187,
      "fos_yielding": 0.867419681031193,
      "deflection": 0.01080255027803794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_579": {
      "node_id": "node_579",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 139.22 kg\n  Factor of Safety: 0.70\n  Max Deflection: 8.34e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.22405919665317,
      "fos_buckling": 0.7036511927799044,
      "fos_yielding": 1.1266010909800654,
      "deflection": 0.008342269146816409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_578",
      "improvement_over_parent": null
    },
    "node_580": {
      "node_id": "node_580",
      "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 140.82 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.8245609502043,
      "fos_buckling": 0.7035618628727484,
      "fos_yielding": 1.359758489406091,
      "deflection": 0.007985647320211066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.403)"
      },
      "parent_node_id": "node_579",
      "improvement_over_parent": null
    },
    "node_581": {
      "node_id": "node_581",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 166.75 kg\n  Factor of Safety: 0.82\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.75390920415376,
      "fos_buckling": 0.8178877577479967,
      "fos_yielding": 1.6082928813984783,
      "deflection": 0.0067541097318067995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_580",
      "improvement_over_parent": null
    },
    "node_582": {
      "node_id": "node_582",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 200.15 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.64e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.15440687333603,
      "fos_buckling": 0.958241726507636,
      "fos_yielding": 1.9276067148534783,
      "deflection": 0.005637960521276171,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_581",
      "improvement_over_parent": null
    },
    "node_583": {
      "node_id": "node_583",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.48135421712738,
      "fos_buckling": 1.1625544501700589,
      "fos_yielding": 2.4259861126733644,
      "deflection": 0.004483068376134669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_582",
      "improvement_over_parent": null
    },
    "node_584": {
      "node_id": "node_584",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4845808257937,
      "fos_buckling": 1.54060785494254,
      "fos_yielding": 2.648938322192169,
      "deflection": 0.003960585865922073,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_583",
      "improvement_over_parent": null
    },
    "node_585": {
      "node_id": "node_585",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_584",
      "improvement_over_parent": null
    },
    "node_586": {
      "node_id": "node_586",
      "content": "INITIAL DESIGN (Trace 87)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 197.93 kg\n  Factor of Safety: 0.39\n  Max Deflection: 9.85e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.9295417512886,
      "fos_buckling": 0.38845511813317457,
      "fos_yielding": 0.8397469306091013,
      "deflection": 9854075712786.188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_587": {
      "node_id": "node_587",
      "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 199.50 kg\n  Factor of Safety: 0.06\n  Max Deflection: 8.90e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.50331035119302,
      "fos_buckling": 0.06396192646616143,
      "fos_yielding": 0.15305715305307507,
      "deflection": 89011402624077.88,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.215)"
      },
      "parent_node_id": "node_586",
      "improvement_over_parent": null
    },
    "node_588": {
      "node_id": "node_588",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n  Mass: 207.41 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.4068607438866,
      "fos_buckling": 1.2229859209642406,
      "fos_yielding": 2.251369047244983,
      "deflection": 0.004692056641038319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003439)"
      },
      "parent_node_id": "node_587",
      "improvement_over_parent": null
    },
    "node_589": {
      "node_id": "node_589",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 250.85 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.8486773552433,
      "fos_buckling": 1.4351500319861712,
      "fos_yielding": 2.7168060809323884,
      "deflection": 0.0038900062203592657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_588",
      "improvement_over_parent": null
    },
    "node_590": {
      "node_id": "node_590",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4074655433929,
      "fos_buckling": 1.5402257739267762,
      "fos_yielding": 2.6480871660741703,
      "deflection": 0.0039618188638849495,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_589",
      "improvement_over_parent": null
    },
    "node_591": {
      "node_id": "node_591",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_590",
      "improvement_over_parent": null
    },
    "node_592": {
      "node_id": "node_592",
      "content": "INITIAL DESIGN (Trace 88)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 125.76 kg\n  Factor of Safety: 0.83\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.76243289498862,
      "fos_buckling": 0.8262418064169773,
      "fos_yielding": 1.301616536785366,
      "deflection": 0.008047379108740847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_593": {
      "node_id": "node_593",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 163.74 kg\n  Factor of Safety: 1.05\n  Max Deflection: 6.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.74406116127872,
      "fos_buckling": 1.0479764024389595,
      "fos_yielding": 1.6917701282048305,
      "deflection": 0.006194348711257953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_592",
      "improvement_over_parent": null
    },
    "node_594": {
      "node_id": "node_594",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 200.71 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.71483479272322,
      "fos_buckling": 1.2515233719635623,
      "fos_yielding": 2.070238241925066,
      "deflection": 0.00506419123803103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_593",
      "improvement_over_parent": null
    },
    "node_595": {
      "node_id": "node_595",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5809066481928,
      "fos_buckling": 1.5410719659063865,
      "fos_yielding": 2.6498818222542253,
      "deflection": 0.003959132044221365,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_594",
      "improvement_over_parent": null
    },
    "node_596": {
      "node_id": "node_596",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_595",
      "improvement_over_parent": null
    },
    "node_597": {
      "node_id": "node_597",
      "content": "INITIAL DESIGN (Trace 89)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 220.69 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.68530292882755,
      "fos_buckling": 0.9132037988252442,
      "fos_yielding": 2.2773452100931064,
      "deflection": 0.004666880172925427,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_598": {
      "node_id": "node_598",
      "content": "MODIFICATION: Increase 17 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.96 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.9592865178966,
      "fos_buckling": 0.9132899840602993,
      "fos_yielding": 2.2771311869467574,
      "deflection": 0.0045971150889563385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.323)"
      },
      "parent_node_id": "node_597",
      "improvement_over_parent": null
    },
    "node_599": {
      "node_id": "node_599",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 233.93 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.93103991659223,
      "fos_buckling": 0.9122410943708607,
      "fos_yielding": 2.2903122543100363,
      "deflection": 0.004579921992633088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_598",
      "improvement_over_parent": null
    },
    "node_600": {
      "node_id": "node_600",
      "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 235.64 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.64321859034635,
      "fos_buckling": 0.9121061964225357,
      "fos_yielding": 2.3881523253863244,
      "deflection": 0.004475364293500366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.218)"
      },
      "parent_node_id": "node_599",
      "improvement_over_parent": null
    },
    "node_601": {
      "node_id": "node_601",
      "content": "MODIFICATION: Increase 18 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0063)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 241.25 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.24778368692142,
      "fos_buckling": 0.9122533879380414,
      "fos_yielding": 2.3877692139184594,
      "deflection": 0.004437973281940601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.299)"
      },
      "parent_node_id": "node_600",
      "improvement_over_parent": null
    },
    "node_602": {
      "node_id": "node_602",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0063)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 259.29 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.2903198896691,
      "fos_buckling": 1.5413355903227732,
      "fos_yielding": 2.6475759491232664,
      "deflection": 0.003943336035222597,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_601",
      "improvement_over_parent": null
    },
    "node_603": {
      "node_id": "node_603",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_602",
      "improvement_over_parent": null
    },
    "node_604": {
      "node_id": "node_604",
      "content": "INITIAL DESIGN (Trace 90)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 203.03 kg\n  Factor of Safety: 0.04\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": 203.02779197212064,
      "fos_buckling": 0.044038074186306966,
      "fos_yielding": 0.5691218770421818,
      "deflection": 0.018259009325596102,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_605": {
      "node_id": "node_605",
      "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 209.25 kg\n  Factor of Safety: 0.04\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": 209.24651222747195,
      "fos_buckling": 0.04402507562087323,
      "fos_yielding": 0.5689538913140318,
      "deflection": 0.018267195695045303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.553)"
      },
      "parent_node_id": "node_604",
      "improvement_over_parent": null
    },
    "node_606": {
      "node_id": "node_606",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 217.40 kg\n  Factor of Safety: 0.04\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": 217.4046829442131,
      "fos_buckling": 0.04400803478673271,
      "fos_yielding": 0.5687336657094473,
      "deflection": 0.018223334497845755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.445)"
      },
      "parent_node_id": "node_605",
      "improvement_over_parent": null
    },
    "node_607": {
      "node_id": "node_607",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.07 kg\n  Factor of Safety: 0.05\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": 248.07433691418515,
      "fos_buckling": 0.04905673212996337,
      "fos_yielding": 0.6481212592130821,
      "deflection": 0.015996503686381815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_606",
      "improvement_over_parent": null
    },
    "node_608": {
      "node_id": "node_608",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.637477893405,
      "fos_buckling": 1.5408822785491627,
      "fos_yielding": 2.6504491945640285,
      "deflection": 0.003958408915093223,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_607",
      "improvement_over_parent": null
    },
    "node_609": {
      "node_id": "node_609",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_608",
      "improvement_over_parent": null
    },
    "node_610": {
      "node_id": "node_610",
      "content": "INITIAL DESIGN (Trace 91)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 141.64 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.83e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.63676744078415,
      "fos_buckling": 0.03304547163967038,
      "fos_yielding": 0.4091763032825052,
      "deflection": 0.028262152200033617,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_611": {
      "node_id": "node_611",
      "content": "MODIFICATION: Increase 6 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 142.60 kg\n  Factor of Safety: 0.03\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": 142.59812983595828,
      "fos_buckling": 0.03304496778747114,
      "fos_yielding": 0.4091700644736744,
      "deflection": 0.027992379988836264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.506)"
      },
      "parent_node_id": "node_610",
      "improvement_over_parent": null
    },
    "node_612": {
      "node_id": "node_612",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n  Mass: 148.61 kg\n  Factor of Safety: 0.46\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.61293488445475,
      "fos_buckling": 0.45501519881416314,
      "fos_yielding": 1.5622464090241515,
      "deflection": 0.008051313662125968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002570)"
      },
      "parent_node_id": "node_611",
      "improvement_over_parent": null
    },
    "node_613": {
      "node_id": "node_613",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n  Mass: 194.45 kg\n  Factor of Safety: 0.57\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.4491411605029,
      "fos_buckling": 0.5733456759527855,
      "fos_yielding": 2.036756745677481,
      "deflection": 0.006171937230723664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_612",
      "improvement_over_parent": null
    },
    "node_614": {
      "node_id": "node_614",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 236.24 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.23924597590306,
      "fos_buckling": 0.6723889122088914,
      "fos_yielding": 2.4664262724513346,
      "deflection": 0.0050940255045003975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_613",
      "improvement_over_parent": null
    },
    "node_615": {
      "node_id": "node_615",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4943720577952,
      "fos_buckling": 1.5406507486232903,
      "fos_yielding": 2.648977069272083,
      "deflection": 0.003960494312899118,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_614",
      "improvement_over_parent": null
    },
    "node_616": {
      "node_id": "node_616",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_615",
      "improvement_over_parent": null
    },
    "node_617": {
      "node_id": "node_617",
      "content": "INITIAL DESIGN (Trace 92)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 181.17 kg\n  Factor of Safety: 0.32\n  Max Deflection: 5.93e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.17228615187034,
      "fos_buckling": 0.32321843019394925,
      "fos_yielding": 2.5192407918273036,
      "deflection": 5930013741792.757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_618": {
      "node_id": "node_618",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 185.28 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.28191613418488,
      "fos_buckling": 0.2270629339901866,
      "fos_yielding": 1.1969133748511767,
      "deflection": 0.009887538120966101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002471)"
      },
      "parent_node_id": "node_617",
      "improvement_over_parent": null
    },
    "node_619": {
      "node_id": "node_619",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n\nPerformance:\n  Mass: 211.52 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.5232997811483,
      "fos_buckling": 1.308708412201011,
      "fos_yielding": 2.1806454160792907,
      "deflection": 0.004808418493524047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004768)"
      },
      "parent_node_id": "node_618",
      "improvement_over_parent": null
    },
    "node_620": {
      "node_id": "node_620",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.56011591821346,
      "fos_buckling": 1.540922210467983,
      "fos_yielding": 2.649674231248443,
      "deflection": 0.003959445671502953,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_619",
      "improvement_over_parent": null
    },
    "node_621": {
      "node_id": "node_621",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 93)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 215.99 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.39e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.99172669983798,
      "fos_buckling": 0.8177955998865192,
      "fos_yielding": 2.2583313690533307,
      "deflection": 0.005385198498469288,
      "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: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 220.04 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.04349590307243,
      "fos_buckling": 1.3595015724428765,
      "fos_yielding": 2.2784042801368853,
      "deflection": 0.00460887278498591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002518)"
      },
      "parent_node_id": "node_622",
      "improvement_over_parent": null
    },
    "node_624": {
      "node_id": "node_624",
      "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0041)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 222.38 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.37824952891057,
      "fos_buckling": 1.3593366114857588,
      "fos_yielding": 2.279114182264322,
      "deflection": 0.004581911388498483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.279)"
      },
      "parent_node_id": "node_623",
      "improvement_over_parent": null
    },
    "node_625": {
      "node_id": "node_625",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 258.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.97691475970635,
      "fos_buckling": 1.541646093976243,
      "fos_yielding": 2.650237599616353,
      "deflection": 0.003942282438754062,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_624",
      "improvement_over_parent": null
    },
    "node_626": {
      "node_id": "node_626",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_625",
      "improvement_over_parent": null
    },
    "node_627": {
      "node_id": "node_627",
      "content": "INITIAL DESIGN (Trace 94)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 172.00 kg\n  Factor of Safety: 0.33\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": 171.9989490986602,
      "fos_buckling": 0.33186482805654205,
      "fos_yielding": 1.0244211619422292,
      "deflection": 0.016007027842602377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_628": {
      "node_id": "node_628",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 215.10 kg\n  Factor of Safety: 0.40\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": 215.10184242040518,
      "fos_buckling": 0.40185864154482726,
      "fos_yielding": 1.2775700928061056,
      "deflection": 0.012835226317803237,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_627",
      "improvement_over_parent": null
    },
    "node_629": {
      "node_id": "node_629",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.78 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.78199139165142,
      "fos_buckling": 0.45292423459227327,
      "fos_yielding": 1.4743980252746656,
      "deflection": 0.011121740803294217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_628",
      "improvement_over_parent": null
    },
    "node_630": {
      "node_id": "node_630",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.418854919305,
      "fos_buckling": 1.5402695278320315,
      "fos_yielding": 2.6481869113094674,
      "deflection": 0.003961477985799681,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_629",
      "improvement_over_parent": null
    },
    "node_631": {
      "node_id": "node_631",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_630",
      "improvement_over_parent": null
    },
    "node_632": {
      "node_id": "node_632",
      "content": "INITIAL DESIGN (Trace 95)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 131.28 kg\n  Factor of Safety: 0.18\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": 131.27603516570292,
      "fos_buckling": 0.18046346558385784,
      "fos_yielding": 0.9381331316382645,
      "deflection": 0.013612194705853058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_633": {
      "node_id": "node_633",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 144.93 kg\n  Factor of Safety: 0.18\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": 144.93037818395007,
      "fos_buckling": 0.18328265369959254,
      "fos_yielding": 0.9379299437130038,
      "deflection": 0.012619506414662883,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002992)"
      },
      "parent_node_id": "node_632",
      "improvement_over_parent": null
    },
    "node_634": {
      "node_id": "node_634",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n\nPerformance:\n  Mass: 165.46 kg\n  Factor of Safety: 1.06\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.45892735600484,
      "fos_buckling": 1.05772507451672,
      "fos_yielding": 1.709348495043232,
      "deflection": 0.00613076045323114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003669)"
      },
      "parent_node_id": "node_633",
      "improvement_over_parent": null
    },
    "node_635": {
      "node_id": "node_635",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n  Mass: 210.06 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.06344156200453,
      "fos_buckling": 1.3011219449773712,
      "fos_yielding": 2.165730819329502,
      "deflection": 0.004841431097643032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_634",
      "improvement_over_parent": null
    },
    "node_636": {
      "node_id": "node_636",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5076913239663,
      "fos_buckling": 1.5407587019715556,
      "fos_yielding": 2.6491304809769374,
      "deflection": 0.003960242954155546,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_635",
      "improvement_over_parent": null
    },
    "node_637": {
      "node_id": "node_637",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_636",
      "improvement_over_parent": null
    },
    "node_638": {
      "node_id": "node_638",
      "content": "INITIAL DESIGN (Trace 96)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0015)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 132.59 kg\n  Factor of Safety: 0.84\n  Max Deflection: 7.56e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.58537878063552,
      "fos_buckling": 0.838274705378715,
      "fos_yielding": 1.4074062662119091,
      "deflection": 0.007559136630895533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_639": {
      "node_id": "node_639",
      "content": "MODIFICATION: Increase 17 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 135.63 kg\n  Factor of Safety: 0.89\n  Max Deflection: 7.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.6330130053247,
      "fos_buckling": 0.8850569165701605,
      "fos_yielding": 1.403055169482148,
      "deflection": 0.007466243770370688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.493)"
      },
      "parent_node_id": "node_638",
      "improvement_over_parent": null
    },
    "node_640": {
      "node_id": "node_640",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 178.03 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.03387612760156,
      "fos_buckling": 1.1280335248651128,
      "fos_yielding": 1.838097417719426,
      "deflection": 0.005702050028335321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_639",
      "improvement_over_parent": null
    },
    "node_641": {
      "node_id": "node_641",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 217.46 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.46023145900128,
      "fos_buckling": 1.3396859800748695,
      "fos_yielding": 2.2411087229904108,
      "deflection": 0.004678889348798347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_640",
      "improvement_over_parent": null
    },
    "node_642": {
      "node_id": "node_642",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.45528186945444,
      "fos_buckling": 1.5404010996089275,
      "fos_yielding": 2.6484529683055595,
      "deflection": 0.003961153913881236,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_641",
      "improvement_over_parent": null
    },
    "node_643": {
      "node_id": "node_643",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_642",
      "improvement_over_parent": null
    },
    "node_644": {
      "node_id": "node_644",
      "content": "INITIAL DESIGN (Trace 97)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 169.91 kg\n  Factor of Safety: 0.04\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": 169.91390790772036,
      "fos_buckling": 0.03745041818050421,
      "fos_yielding": 0.47139787758954255,
      "deflection": 0.02226470287635853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_645": {
      "node_id": "node_645",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 188.16 kg\n  Factor of Safety: 0.04\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": 188.1553365651067,
      "fos_buckling": 0.04087159124998613,
      "fos_yielding": 0.5214129196761479,
      "deflection": 0.020130959565963304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_644",
      "improvement_over_parent": null
    },
    "node_646": {
      "node_id": "node_646",
      "content": "MODIFICATION: Increase 11 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 189.98 kg\n  Factor of Safety: 0.04\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": 189.98162193234984,
      "fos_buckling": 0.04087159124998609,
      "fos_yielding": 0.5214129196761474,
      "deflection": 0.020116812084066155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.287)"
      },
      "parent_node_id": "node_645",
      "improvement_over_parent": null
    },
    "node_647": {
      "node_id": "node_647",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 197.66 kg\n  Factor of Safety: 1.28\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.66299311513802,
      "fos_buckling": 1.2773865006151484,
      "fos_yielding": 2.133592226215341,
      "deflection": 0.005051278001968276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003335)"
      },
      "parent_node_id": "node_646",
      "improvement_over_parent": null
    },
    "node_648": {
      "node_id": "node_648",
      "content": "MODIFICATION: Increase 19 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0056)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 205.09 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.0912715804366,
      "fos_buckling": 1.2841839068812535,
      "fos_yielding": 2.131756018597117,
      "deflection": 0.004955438135052125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.486)"
      },
      "parent_node_id": "node_647",
      "improvement_over_parent": null
    },
    "node_649": {
      "node_id": "node_649",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 255.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.20147159482212,
      "fos_buckling": 1.5409559037491005,
      "fos_yielding": 2.6481004742470273,
      "deflection": 0.0039911976463403945,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_648",
      "improvement_over_parent": null
    },
    "node_650": {
      "node_id": "node_650",
      "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 260.87 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 260.868657402195,
      "fos_buckling": 1.5396789003498983,
      "fos_yielding": 2.6512052676462865,
      "deflection": 0.003938238042276445,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.307)"
      },
      "parent_node_id": "node_649",
      "improvement_over_parent": null
    },
    "node_651": {
      "node_id": "node_651",
      "content": "MODIFICATION: Increase 11 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0052)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0072)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 264.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.92e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 264.44403733601035,
      "fos_buckling": 1.539481814312441,
      "fos_yielding": 2.6520784914522118,
      "deflection": 0.003916025984382952,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.379)"
      },
      "parent_node_id": "node_650",
      "improvement_over_parent": null
    },
    "node_652": {
      "node_id": "node_652",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_651",
      "improvement_over_parent": null
    },
    "node_653": {
      "node_id": "node_653",
      "content": "INITIAL DESIGN (Trace 98)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 207.84 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.31e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.84139956595587,
      "fos_buckling": 0.2620733989034547,
      "fos_yielding": 1.2596203959136518,
      "deflection": 7309757492436.992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_654": {
      "node_id": "node_654",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 230.76 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.16e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.75801516823998,
      "fos_buckling": 0.08166323974911097,
      "fos_yielding": 1.0787349082301443,
      "deflection": 11551449887707.668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_653",
      "improvement_over_parent": null
    },
    "node_655": {
      "node_id": "node_655",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 244.51 kg\n  Factor of Safety: 0.05\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": 244.5074836344274,
      "fos_buckling": 0.04902927076996571,
      "fos_yielding": 0.647654759560352,
      "deflection": 0.016137620190435232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_654",
      "improvement_over_parent": null
    },
    "node_656": {
      "node_id": "node_656",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 254.07 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.0706246136472,
      "fos_buckling": 1.5163064088628146,
      "fos_yielding": 2.652671064157316,
      "deflection": 0.003986079742478884,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_655",
      "improvement_over_parent": null
    },
    "node_657": {
      "node_id": "node_657",
      "content": "MODIFICATION: Increase 17 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 258.06 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.05564658212364,
      "fos_buckling": 1.5039367902134393,
      "fos_yielding": 2.6532791623351994,
      "deflection": 0.0039582726061292515,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.250)"
      },
      "parent_node_id": "node_656",
      "improvement_over_parent": null
    },
    "node_658": {
      "node_id": "node_658",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_657",
      "improvement_over_parent": null
    },
    "node_659": {
      "node_id": "node_659",
      "content": "INITIAL DESIGN (Trace 99)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 235.82 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.8183606326145,
      "fos_buckling": 0.9511128792591418,
      "fos_yielding": 2.5174110063200583,
      "deflection": 0.0048708172819290395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_660": {
      "node_id": "node_660",
      "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 236.85 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.84964833373638,
      "fos_buckling": 0.9510971910474758,
      "fos_yielding": 2.5173367038628256,
      "deflection": 0.004846963794468799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.307)"
      },
      "parent_node_id": "node_659",
      "improvement_over_parent": null
    },
    "node_661": {
      "node_id": "node_661",
      "content": "MODIFICATION: Increase 19 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.78 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.78408066241767,
      "fos_buckling": 0.9509917161316633,
      "fos_yielding": 2.5168372041409577,
      "deflection": 0.00475629402012149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.531)"
      },
      "parent_node_id": "node_660",
      "improvement_over_parent": null
    },
    "node_662": {
      "node_id": "node_662",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53354912860505,
      "fos_buckling": 1.5408268349215,
      "fos_yielding": 2.649366331492723,
      "deflection": 0.003959859377559814,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_661",
      "improvement_over_parent": null
    },
    "node_663": {
      "node_id": "node_663",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_662",
      "improvement_over_parent": null
    },
    "node_664": {
      "node_id": "node_664",
      "content": "INITIAL DESIGN (Trace 100)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 179.55 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.54790564231752,
      "fos_buckling": 0.9215063398317446,
      "fos_yielding": 1.928896144234532,
      "deflection": 0.005616616703034798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_665": {
      "node_id": "node_665",
      "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 180.29 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.28712400641723,
      "fos_buckling": 0.9213038296137827,
      "fos_yielding": 1.929814203293473,
      "deflection": 0.005607084436721101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.256)"
      },
      "parent_node_id": "node_664",
      "improvement_over_parent": null
    },
    "node_666": {
      "node_id": "node_666",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 210.90 kg\n  Factor of Safety: 1.06\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.90124010739896,
      "fos_buckling": 1.0632104195309688,
      "fos_yielding": 2.2536098504404483,
      "deflection": 0.004801471234751122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_665",
      "improvement_over_parent": null
    },
    "node_667": {
      "node_id": "node_667",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.74 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.7371411590165,
      "fos_buckling": 1.2238977008390817,
      "fos_yielding": 2.631158949111901,
      "deflection": 0.004112414763931158,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_666",
      "improvement_over_parent": null
    },
    "node_668": {
      "node_id": "node_668",
      "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.98 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.98221820464724,
      "fos_buckling": 1.5406281975878762,
      "fos_yielding": 2.6470716635645375,
      "deflection": 0.0039691440079683326,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.447)"
      },
      "parent_node_id": "node_667",
      "improvement_over_parent": null
    },
    "node_669": {
      "node_id": "node_669",
      "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4331187776678,
      "fos_buckling": 1.5402187581939877,
      "fos_yielding": 2.648445470913896,
      "deflection": 0.003961332072925948,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.307)"
      },
      "parent_node_id": "node_668",
      "improvement_over_parent": null
    },
    "node_670": {
      "node_id": "node_670",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_669",
      "improvement_over_parent": null
    },
    "node_671": {
      "node_id": "node_671",
      "content": "INITIAL DESIGN (Trace 101)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 213.97 kg\n  Factor of Safety: 0.45\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.96691775288775,
      "fos_buckling": 0.4544621345244249,
      "fos_yielding": 2.245337762801708,
      "deflection": 0.005122345308527289,
      "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: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n  Mass: 222.92 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.92472693814682,
      "fos_buckling": 1.3514109421009723,
      "fos_yielding": 2.395708016144002,
      "deflection": 0.004541962879468532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003256)"
      },
      "parent_node_id": "node_671",
      "improvement_over_parent": null
    },
    "node_673": {
      "node_id": "node_673",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 248.35 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.34591491776146,
      "fos_buckling": 1.4769681026677224,
      "fos_yielding": 2.664934670293718,
      "deflection": 0.004082911995244345,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_672",
      "improvement_over_parent": null
    },
    "node_674": {
      "node_id": "node_674",
      "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 250.40 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.39763320419755,
      "fos_buckling": 1.4771743911151316,
      "fos_yielding": 2.663429993293135,
      "deflection": 0.004027711318934989,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.639)"
      },
      "parent_node_id": "node_673",
      "improvement_over_parent": null
    },
    "node_675": {
      "node_id": "node_675",
      "content": "MODIFICATION: Increase 14 thickness by 67%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0065)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 258.18 kg\n  Factor of Safety: 1.46\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.1805738772326,
      "fos_buckling": 1.4551961998684755,
      "fos_yielding": 2.63582157816855,
      "deflection": 0.0039637108618282395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.667)"
      },
      "parent_node_id": "node_674",
      "improvement_over_parent": null
    },
    "node_676": {
      "node_id": "node_676",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_675",
      "improvement_over_parent": null
    },
    "node_677": {
      "node_id": "node_677",
      "content": "INITIAL DESIGN (Trace 102)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.50 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.4972561730888,
      "fos_buckling": 1.1429261985655825,
      "fos_yielding": 1.7573837377700157,
      "deflection": 0.0041656682468017205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_678": {
      "node_id": "node_678",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.63 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.63134687644853,
      "fos_buckling": 1.2415006227857424,
      "fos_yielding": 2.161916086874674,
      "deflection": 0.004112560560543824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.276)"
      },
      "parent_node_id": "node_677",
      "improvement_over_parent": null
    },
    "node_679": {
      "node_id": "node_679",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.51 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.50671645574593,
      "fos_buckling": 1.2413989223888153,
      "fos_yielding": 2.3479257845925097,
      "deflection": 0.004038494953282548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.575)"
      },
      "parent_node_id": "node_678",
      "improvement_over_parent": null
    },
    "node_680": {
      "node_id": "node_680",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 255.07 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.06550464389554,
      "fos_buckling": 1.23263072190295,
      "fos_yielding": 2.3313420066997237,
      "deflection": 0.004105216593552232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_679",
      "improvement_over_parent": null
    },
    "node_681": {
      "node_id": "node_681",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53471077669934,
      "fos_buckling": 1.5407991549452233,
      "fos_yielding": 2.6493704460375325,
      "deflection": 0.003959718105967895,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.439)"
      },
      "parent_node_id": "node_680",
      "improvement_over_parent": null
    },
    "node_682": {
      "node_id": "node_682",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_681",
      "improvement_over_parent": null
    },
    "node_683": {
      "node_id": "node_683",
      "content": "INITIAL DESIGN (Trace 103)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 131.32 kg\n  Factor of Safety: 0.24\n  Max Deflection: 7.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.3197464320554,
      "fos_buckling": 0.24264429142676514,
      "fos_yielding": 1.3512141787464862,
      "deflection": 0.007905429058787406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_684": {
      "node_id": "node_684",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n\nPerformance:\n  Mass: 136.78 kg\n  Factor of Safety: 0.42\n  Max Deflection: 6.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.78361347108122,
      "fos_buckling": 0.4247747716176907,
      "fos_yielding": 1.409878912046656,
      "deflection": 0.006916014781024499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.001923)"
      },
      "parent_node_id": "node_683",
      "improvement_over_parent": null
    },
    "node_685": {
      "node_id": "node_685",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n\nPerformance:\n  Mass: 157.51 kg\n  Factor of Safety: 0.48\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.5071678331859,
      "fos_buckling": 0.48384045931582004,
      "fos_yielding": 1.62210586311987,
      "deflection": 0.006013928504248371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_684",
      "improvement_over_parent": null
    },
    "node_686": {
      "node_id": "node_686",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n  Mass: 162.45 kg\n  Factor of Safety: 1.04\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.45346885414227,
      "fos_buckling": 1.0406476375290905,
      "fos_yielding": 1.678518849928792,
      "deflection": 0.006243193255049787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001978)"
      },
      "parent_node_id": "node_685",
      "improvement_over_parent": null
    },
    "node_687": {
      "node_id": "node_687",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n  Mass: 181.08 kg\n  Factor of Safety: 1.14\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.08356644491764,
      "fos_buckling": 1.1449421691279646,
      "fos_yielding": 1.8694152015579144,
      "deflection": 0.005606925436561193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_686",
      "improvement_over_parent": null
    },
    "node_688": {
      "node_id": "node_688",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n  Mass: 199.84 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.83508344055815,
      "fos_buckling": 1.246815209342333,
      "fos_yielding": 2.061227220168633,
      "deflection": 0.005086308248269633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_687",
      "improvement_over_parent": null
    },
    "node_689": {
      "node_id": "node_689",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.36902202250803,
      "fos_buckling": 1.5400409448975492,
      "fos_yielding": 2.6477025173352953,
      "deflection": 0.003962404808944786,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_688",
      "improvement_over_parent": null
    },
    "node_690": {
      "node_id": "node_690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_689",
      "improvement_over_parent": null
    },
    "node_691": {
      "node_id": "node_691",
      "content": "INITIAL DESIGN (Trace 104)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 120.20 kg\n  Factor of Safety: 0.32\n  Max Deflection: 3.32e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.19995514083637,
      "fos_buckling": 0.3157453055830811,
      "fos_yielding": 0.7781941992918415,
      "deflection": 33164873042228.574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_692": {
      "node_id": "node_692",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n\nPerformance:\n  Mass: 133.43 kg\n  Factor of Safety: 0.51\n  Max Deflection: 7.30e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.42687052686748,
      "fos_buckling": 0.5118496817280188,
      "fos_yielding": 1.4041330134036785,
      "deflection": 7302191329190.229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002916)"
      },
      "parent_node_id": "node_691",
      "improvement_over_parent": null
    },
    "node_693": {
      "node_id": "node_693",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n  Mass: 138.88 kg\n  Factor of Safety: 0.03\n  Max Deflection: 3.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.8791606548738,
      "fos_buckling": 0.03316312112919675,
      "fos_yielding": 0.41079101538928703,
      "deflection": 0.035747682724535254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002452)"
      },
      "parent_node_id": "node_692",
      "improvement_over_parent": null
    },
    "node_694": {
      "node_id": "node_694",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n  Mass: 178.28 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.79e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.2788069529621,
      "fos_buckling": 0.041211064020402706,
      "fos_yielding": 0.5264212952269847,
      "deflection": 0.027911004590550348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_693",
      "improvement_over_parent": null
    },
    "node_695": {
      "node_id": "node_695",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 220.17 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.27e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.16624894456635,
      "fos_buckling": 0.04911410142114901,
      "fos_yielding": 0.6489158761743705,
      "deflection": 0.02265555529327824,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_694",
      "improvement_over_parent": null
    },
    "node_696": {
      "node_id": "node_696",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 230.14 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.63e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.13800234326197,
      "fos_buckling": 0.04908315067471649,
      "fos_yielding": 0.6485069420768639,
      "deflection": 0.016284174973086398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_695",
      "improvement_over_parent": null
    },
    "node_697": {
      "node_id": "node_697",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 239.70 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.70114332248178,
      "fos_buckling": 0.9272686852345935,
      "fos_yielding": 2.6325113652945835,
      "deflection": 0.0045744066716415675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_696",
      "improvement_over_parent": null
    },
    "node_698": {
      "node_id": "node_698",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.69050788914166,
      "fos_buckling": 1.5417855023210316,
      "fos_yielding": 2.651205755353484,
      "deflection": 0.003957561978813272,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_697",
      "improvement_over_parent": null
    },
    "node_699": {
      "node_id": "node_699",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_698",
      "improvement_over_parent": null
    },
    "node_700": {
      "node_id": "node_700",
      "content": "INITIAL DESIGN (Trace 105)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 189.35 kg\n  Factor of Safety: 1.00\n  Max Deflection: 5.36e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.3478736068881,
      "fos_buckling": 0.9959092197996405,
      "fos_yielding": 2.005816152357794,
      "deflection": 0.005356146129207556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_701": {
      "node_id": "node_701",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 216.52 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.5237329474923,
      "fos_buckling": 1.124007002447129,
      "fos_yielding": 2.2903383791260694,
      "deflection": 0.004691103175757911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_700",
      "improvement_over_parent": null
    },
    "node_702": {
      "node_id": "node_702",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.53 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.52739582165648,
      "fos_buckling": 1.2745174229863354,
      "fos_yielding": 2.6347212446981287,
      "deflection": 0.00407822480657791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_701",
      "improvement_over_parent": null
    },
    "node_703": {
      "node_id": "node_703",
      "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3680246641339,
      "fos_buckling": 1.540465178203992,
      "fos_yielding": 2.6475792999377363,
      "deflection": 0.003962412460628406,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.357)"
      },
      "parent_node_id": "node_702",
      "improvement_over_parent": null
    },
    "node_704": {
      "node_id": "node_704",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_703",
      "improvement_over_parent": null
    },
    "node_705": {
      "node_id": "node_705",
      "content": "INITIAL DESIGN (Trace 106)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 0.61\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.74094646264325,
      "fos_buckling": 0.6122005744921379,
      "fos_yielding": 2.1145416421874446,
      "deflection": 0.004625254946153676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_706": {
      "node_id": "node_706",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 211.20 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.2017021931445,
      "fos_buckling": 1.3128453891935792,
      "fos_yielding": 2.1870483041265087,
      "deflection": 0.004800401130453084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002630)"
      },
      "parent_node_id": "node_705",
      "improvement_over_parent": null
    },
    "node_707": {
      "node_id": "node_707",
      "content": "MODIFICATION: Increase 11 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0039)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 213.26 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.26340734392753,
      "fos_buckling": 1.3126982796538573,
      "fos_yielding": 2.187677681903809,
      "deflection": 0.0047742727538692695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.255)"
      },
      "parent_node_id": "node_706",
      "improvement_over_parent": null
    },
    "node_708": {
      "node_id": "node_708",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 258.85 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.85472361315266,
      "fos_buckling": 1.5416671971549407,
      "fos_yielding": 2.6503393472139685,
      "deflection": 0.003943296992047777,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_707",
      "improvement_over_parent": null
    },
    "node_709": {
      "node_id": "node_709",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 107)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 134.71 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.77e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.71085145626677,
      "fos_buckling": 0.613568230931825,
      "fos_yielding": 2.3616124037846213,
      "deflection": 2767004999446.815,
      "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: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n\nPerformance:\n  Mass: 139.78 kg\n  Factor of Safety: 0.58\n  Max Deflection: 7.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.7827418810601,
      "fos_buckling": 0.5769561318539067,
      "fos_yielding": 1.4090894808977636,
      "deflection": 0.007553546453738726,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002272)"
      },
      "parent_node_id": "node_710",
      "improvement_over_parent": null
    },
    "node_712": {
      "node_id": "node_712",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n  Mass: 157.08 kg\n  Factor of Safety: 0.64\n  Max Deflection: 6.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.0759058332337,
      "fos_buckling": 0.6401211204288313,
      "fos_yielding": 1.581986777897468,
      "deflection": 0.006728224804546298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_711",
      "improvement_over_parent": null
    },
    "node_713": {
      "node_id": "node_713",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 189.99 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.57e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.99462570506373,
      "fos_buckling": 0.755389177675473,
      "fos_yielding": 1.910244084320777,
      "deflection": 0.005572356542432229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_712",
      "improvement_over_parent": null
    },
    "node_714": {
      "node_id": "node_714",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0045)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 193.71 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.71293157869874,
      "fos_buckling": 0.7553891776754732,
      "fos_yielding": 1.9102440843207789,
      "deflection": 0.00554363955054945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.453)"
      },
      "parent_node_id": "node_713",
      "improvement_over_parent": null
    },
    "node_715": {
      "node_id": "node_715",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 242.45 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.45390883483606,
      "fos_buckling": 0.9116976756772148,
      "fos_yielding": 2.3864787703353945,
      "deflection": 0.004438249873989362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_714",
      "improvement_over_parent": null
    },
    "node_716": {
      "node_id": "node_716",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 260.50 kg\n  Factor of Safety: 1.26\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.4964450375837,
      "fos_buckling": 1.2642236516407845,
      "fos_yielding": 2.641715903860733,
      "deflection": 0.003958618237261977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_715",
      "improvement_over_parent": null
    },
    "node_717": {
      "node_id": "node_717",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 108)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 173.73 kg\n  Factor of Safety: 0.14\n  Max Deflection: 4.26e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.72797517226982,
      "fos_buckling": 0.13664384064572108,
      "fos_yielding": 1.4222852115636375,
      "deflection": 4263806449529.866,
      "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: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 174.94 kg\n  Factor of Safety: 0.08\n  Max Deflection: 4.43e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.94458256956955,
      "fos_buckling": 0.07970890704333729,
      "fos_yielding": 1.0178357347253721,
      "deflection": 4427733416227.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.462)"
      },
      "parent_node_id": "node_718",
      "improvement_over_parent": null
    },
    "node_720": {
      "node_id": "node_720",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 183.01 kg\n  Factor of Safety: 0.52\n  Max Deflection: 4.32e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.00569331525793,
      "fos_buckling": 0.5195576854707211,
      "fos_yielding": 2.124605413778435,
      "deflection": 4323861919680.3955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002905)"
      },
      "parent_node_id": "node_719",
      "improvement_over_parent": null
    },
    "node_721": {
      "node_id": "node_721",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 199.95 kg\n  Factor of Safety: 0.38\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": 199.9461844480162,
      "fos_buckling": 0.3799206509268982,
      "fos_yielding": 0.9884875276852507,
      "deflection": 0.014201590572975736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003796)"
      },
      "parent_node_id": "node_720",
      "improvement_over_parent": null
    },
    "node_722": {
      "node_id": "node_722",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 221.32 kg\n  Factor of Safety: 0.41\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": 221.31697655636677,
      "fos_buckling": 0.41372267983586314,
      "fos_yielding": 1.0942039077340422,
      "deflection": 0.012844702345320801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_721",
      "improvement_over_parent": null
    },
    "node_723": {
      "node_id": "node_723",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 229.05 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.04556371410706,
      "fos_buckling": 1.4067565825901565,
      "fos_yielding": 2.372104759190612,
      "deflection": 0.004428149078359382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003562)"
      },
      "parent_node_id": "node_722",
      "improvement_over_parent": null
    },
    "node_724": {
      "node_id": "node_724",
      "content": "MODIFICATION: Increase 11 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0069)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 237.43 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.33e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.42981114071068,
      "fos_buckling": 1.3996788409109397,
      "fos_yielding": 2.3806966292321023,
      "deflection": 0.004330480183586693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.328)"
      },
      "parent_node_id": "node_723",
      "improvement_over_parent": null
    },
    "node_725": {
      "node_id": "node_725",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0078)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 265.16 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.88e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 265.16099826954667,
      "fos_buckling": 1.535238584469214,
      "fos_yielding": 2.6567152114198187,
      "deflection": 0.003882723111974037,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_724",
      "improvement_over_parent": null
    },
    "node_726": {
      "node_id": "node_726",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_725",
      "improvement_over_parent": null
    },
    "node_727": {
      "node_id": "node_727",
      "content": "INITIAL DESIGN (Trace 109)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 106.68 kg\n  Factor of Safety: 0.28\n  Max Deflection: 1.55e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 106.67558676939616,
      "fos_buckling": 0.27801899390477575,
      "fos_yielding": 1.1434691714249132,
      "deflection": 15510626702271.877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_728": {
      "node_id": "node_728",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 117.89 kg\n  Factor of Safety: 0.17\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": 117.88920901365685,
      "fos_buckling": 0.17195783503620057,
      "fos_yielding": 1.1261072095770115,
      "deflection": 0.012162347731765265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002662)"
      },
      "parent_node_id": "node_727",
      "improvement_over_parent": null
    },
    "node_729": {
      "node_id": "node_729",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 150.84 kg\n  Factor of Safety: 0.21\n  Max Deflection: 9.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.83735256740962,
      "fos_buckling": 0.21319440387885655,
      "fos_yielding": 1.4383315736820415,
      "deflection": 0.009523962526527728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_728",
      "improvement_over_parent": null
    },
    "node_730": {
      "node_id": "node_730",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 189.58 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.58446755601332,
      "fos_buckling": 0.2579129966623456,
      "fos_yielding": 1.8041223689512265,
      "deflection": 0.007594581846521432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_729",
      "improvement_over_parent": null
    },
    "node_731": {
      "node_id": "node_731",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 208.67 kg\n  Factor of Safety: 0.26\n  Max Deflection: 6.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.67421133082078,
      "fos_buckling": 0.2577718511323842,
      "fos_yielding": 1.8031350445000505,
      "deflection": 0.006969956533660285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_730",
      "improvement_over_parent": null
    },
    "node_732": {
      "node_id": "node_732",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 215.23 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.2329995189704,
      "fos_buckling": 0.25762652984175843,
      "fos_yielding": 1.802118510263716,
      "deflection": 0.007100255112131289,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_731",
      "improvement_over_parent": null
    },
    "node_733": {
      "node_id": "node_733",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.49 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.48812560086253,
      "fos_buckling": 0.6735951696920557,
      "fos_yielding": 2.273165397117152,
      "deflection": 0.005117903583754806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_732",
      "improvement_over_parent": null
    },
    "node_734": {
      "node_id": "node_734",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4443096076781,
      "fos_buckling": 1.5403079519154192,
      "fos_yielding": 2.648114226772366,
      "deflection": 0.003961423528906411,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_733",
      "improvement_over_parent": null
    },
    "node_735": {
      "node_id": "node_735",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_734",
      "improvement_over_parent": null
    },
    "node_736": {
      "node_id": "node_736",
      "content": "INITIAL DESIGN (Trace 110)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 140.80 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.27e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.7967593833041,
      "fos_buckling": 0.04252636137784736,
      "fos_yielding": 0.5196592308085725,
      "deflection": 22707810929022.156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_737": {
      "node_id": "node_737",
      "content": "MODIFICATION: Increase 15 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 142.07 kg\n  Factor of Safety: 0.47\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": 142.06813538296592,
      "fos_buckling": 0.4710628656153505,
      "fos_yielding": 0.877583133377299,
      "deflection": 20708671261597.633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.376)"
      },
      "parent_node_id": "node_736",
      "improvement_over_parent": null
    },
    "node_738": {
      "node_id": "node_738",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n  Mass: 155.45 kg\n  Factor of Safety: 0.01\n  Max Deflection: 2.62e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.45123378708206,
      "fos_buckling": 0.010599101964736804,
      "fos_yielding": 0.13384488475628825,
      "deflection": 26176525141253.18,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003217)"
      },
      "parent_node_id": "node_737",
      "improvement_over_parent": null
    },
    "node_739": {
      "node_id": "node_739",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n  Mass: 162.57 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.51e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.56606302159256,
      "fos_buckling": 0.2225811412594729,
      "fos_yielding": 1.2596203959136518,
      "deflection": 15138226584182.396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003072)"
      },
      "parent_node_id": "node_738",
      "improvement_over_parent": null
    },
    "node_740": {
      "node_id": "node_740",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n\nPerformance:\n  Mass: 178.15 kg\n  Factor of Safety: 0.71\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.15427958667016,
      "fos_buckling": 0.7110954596884098,
      "fos_yielding": 1.7817906663084944,
      "deflection": 0.005920046527731844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003472)"
      },
      "parent_node_id": "node_739",
      "improvement_over_parent": null
    },
    "node_741": {
      "node_id": "node_741",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n  Mass: 204.04 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.04116059722864,
      "fos_buckling": 0.7987089772664068,
      "fos_yielding": 2.0380429100458444,
      "deflection": 0.005176400977350661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_740",
      "improvement_over_parent": null
    },
    "node_742": {
      "node_id": "node_742",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 219.41 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.4106444493624,
      "fos_buckling": 1.3498518924728595,
      "fos_yielding": 2.261122234584486,
      "deflection": 0.004637702036935764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003727)"
      },
      "parent_node_id": "node_741",
      "improvement_over_parent": null
    },
    "node_743": {
      "node_id": "node_743",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3658967174042,
      "fos_buckling": 1.5400237104380465,
      "fos_yielding": 2.6476758904791438,
      "deflection": 0.003962410867776442,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_742",
      "improvement_over_parent": null
    },
    "node_744": {
      "node_id": "node_744",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 111)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 125.51 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.5114907152274,
      "fos_buckling": 0.2670640562375464,
      "fos_yielding": 1.2908290104599385,
      "deflection": 0.008712695301406897,
      "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 all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 151.94 kg\n  Factor of Safety: 0.32\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.9367519686199,
      "fos_buckling": 0.317782765609001,
      "fos_yielding": 1.5606154651607167,
      "deflection": 0.0072073030789657514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_745",
      "improvement_over_parent": null
    },
    "node_747": {
      "node_id": "node_747",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 174.92 kg\n  Factor of Safety: 0.36\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.9187020105357,
      "fos_buckling": 0.36032222424309973,
      "fos_yielding": 1.7946813988519457,
      "deflection": 0.00626788375005059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_746",
      "improvement_over_parent": null
    },
    "node_748": {
      "node_id": "node_748",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 218.80 kg\n  Factor of Safety: 0.44\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.8043903664224,
      "fos_buckling": 0.43747868386182376,
      "fos_yielding": 2.2401742043907826,
      "deflection": 0.005022240324159574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_747",
      "improvement_over_parent": null
    },
    "node_749": {
      "node_id": "node_749",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.14 kg\n  Factor of Safety: 0.48\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.13502413828823,
      "fos_buckling": 0.4779402863128085,
      "fos_yielding": 2.486320300381941,
      "deflection": 0.004525418279567996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_748",
      "improvement_over_parent": null
    },
    "node_750": {
      "node_id": "node_750",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 253.11 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.00e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.10677753698388,
      "fos_buckling": 1.5071378127594746,
      "fos_yielding": 2.653299107750929,
      "deflection": 0.0039980318263804805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_749",
      "improvement_over_parent": null
    },
    "node_751": {
      "node_id": "node_751",
      "content": "MODIFICATION: Increase 14 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 256.82 kg\n  Factor of Safety: 1.51\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.82306877953323,
      "fos_buckling": 1.5098858937121542,
      "fos_yielding": 2.637410729095336,
      "deflection": 0.003960254524538628,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.307)"
      },
      "parent_node_id": "node_750",
      "improvement_over_parent": null
    },
    "node_752": {
      "node_id": "node_752",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_751",
      "improvement_over_parent": null
    },
    "node_753": {
      "node_id": "node_753",
      "content": "INITIAL DESIGN (Trace 112)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 166.55 kg\n  Factor of Safety: 1.01\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.54671794200254,
      "fos_buckling": 1.013275793918301,
      "fos_yielding": 1.7415446299581385,
      "deflection": 0.006065706433609342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_754": {
      "node_id": "node_754",
      "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 167.02 kg\n  Factor of Safety: 1.00\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.01506675498524,
      "fos_buckling": 0.9957074761409812,
      "fos_yielding": 1.7417785734588969,
      "deflection": 0.006049044271765021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.189)"
      },
      "parent_node_id": "node_753",
      "improvement_over_parent": null
    },
    "node_755": {
      "node_id": "node_755",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 208.33 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.33339229893608,
      "fos_buckling": 1.2102635388847567,
      "fos_yielding": 2.168263605879132,
      "deflection": 0.004861256950617191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_754",
      "improvement_over_parent": null
    },
    "node_756": {
      "node_id": "node_756",
      "content": "MODIFICATION: Increase 12 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 209.59 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.59105742831943,
      "fos_buckling": 1.3032805452437044,
      "fos_yielding": 2.1687700793809506,
      "deflection": 0.004839476407131382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.179)"
      },
      "parent_node_id": "node_755",
      "improvement_over_parent": null
    },
    "node_757": {
      "node_id": "node_757",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.3751925398156,
      "fos_buckling": 1.5404407201747268,
      "fos_yielding": 2.6470507934583205,
      "deflection": 0.003967195669745877,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_756",
      "improvement_over_parent": null
    },
    "node_758": {
      "node_id": "node_758",
      "content": "MODIFICATION: Increase 11 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.39795006859595,
      "fos_buckling": 1.5401622521685427,
      "fos_yielding": 2.6479745654267246,
      "deflection": 0.003961925992842808,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.200)"
      },
      "parent_node_id": "node_757",
      "improvement_over_parent": null
    },
    "node_759": {
      "node_id": "node_759",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_758",
      "improvement_over_parent": null
    },
    "node_760": {
      "node_id": "node_760",
      "content": "INITIAL DESIGN (Trace 113)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 156.56 kg\n  Factor of Safety: 0.79\n  Max Deflection: 7.26e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.55767438985515,
      "fos_buckling": 0.785231466802886,
      "fos_yielding": 1.4191994844852132,
      "deflection": 0.007256639157074622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_761": {
      "node_id": "node_761",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 159.71 kg\n  Factor of Safety: 0.86\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.71269356910622,
      "fos_buckling": 0.8615631162282059,
      "fos_yielding": 1.4783493490420814,
      "deflection": 0.006415727086003615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001864)"
      },
      "parent_node_id": "node_760",
      "improvement_over_parent": null
    },
    "node_762": {
      "node_id": "node_762",
      "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 163.39 kg\n  Factor of Safety: 0.88\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.38548288539604,
      "fos_buckling": 0.8775927035128321,
      "fos_yielding": 1.4772714148949873,
      "deflection": 0.006348314222802676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.590)"
      },
      "parent_node_id": "node_761",
      "improvement_over_parent": null
    },
    "node_763": {
      "node_id": "node_763",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 164.66 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.65586452852963,
      "fos_buckling": 0.8523801249521493,
      "fos_yielding": 1.478892927077571,
      "deflection": 0.006234098828422049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.250)"
      },
      "parent_node_id": "node_762",
      "improvement_over_parent": null
    },
    "node_764": {
      "node_id": "node_764",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0043)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n\nPerformance:\n  Mass: 189.76 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.7609236897296,
      "fos_buckling": 0.9726193121936868,
      "fos_yielding": 1.7057546435382167,
      "deflection": 0.005415419366321637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_763",
      "improvement_over_parent": null
    },
    "node_765": {
      "node_id": "node_765",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0041)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 215.57 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.56992707211373,
      "fos_buckling": 1.09349521588705,
      "fos_yielding": 1.9395139277258802,
      "deflection": 0.004772528350041412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_764",
      "improvement_over_parent": null
    },
    "node_766": {
      "node_id": "node_766",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0050)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0061)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 260.93 kg\n  Factor of Safety: 1.30\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.9302718004146,
      "fos_buckling": 1.2991727119348822,
      "fos_yielding": 2.3518911869226713,
      "deflection": 0.0039507278719338665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_765",
      "improvement_over_parent": null
    },
    "node_767": {
      "node_id": "node_767",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 114)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 205.30 kg\n  Factor of Safety: 0.30\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": 205.29736818867983,
      "fos_buckling": 0.29501378735009987,
      "fos_yielding": 1.0512278240613102,
      "deflection": 0.020785462943781,
      "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 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 210.93 kg\n  Factor of Safety: 0.40\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": 210.927174639186,
      "fos_buckling": 0.3953070754476952,
      "fos_yielding": 1.253190985322727,
      "deflection": 0.013085616831126579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002495)"
      },
      "parent_node_id": "node_768",
      "improvement_over_parent": null
    },
    "node_770": {
      "node_id": "node_770",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 248.95 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.9492813457898,
      "fos_buckling": 0.45316911517210895,
      "fos_yielding": 1.4754641641508655,
      "deflection": 0.011114291322076877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_769",
      "improvement_over_parent": null
    },
    "node_771": {
      "node_id": "node_771",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58614487344335,
      "fos_buckling": 1.541102829699395,
      "fos_yielding": 2.649952273270686,
      "deflection": 0.003959110769834936,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_770",
      "improvement_over_parent": null
    },
    "node_772": {
      "node_id": "node_772",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_771",
      "improvement_over_parent": null
    },
    "node_773": {
      "node_id": "node_773",
      "content": "INITIAL DESIGN (Trace 115)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 136.63 kg\n  Factor of Safety: 0.81\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.6285224815708,
      "fos_buckling": 0.8131748078306779,
      "fos_yielding": 1.5258197552553279,
      "deflection": 0.007076119533116065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_774": {
      "node_id": "node_774",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 170.23 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.23148411506588,
      "fos_buckling": 0.9942278932138009,
      "fos_yielding": 1.8972522546916333,
      "deflection": 0.0056913304974519525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_773",
      "improvement_over_parent": null
    },
    "node_775": {
      "node_id": "node_775",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 174.79 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.7887306841596,
      "fos_buckling": 0.9797137588420721,
      "fos_yielding": 1.8524384339952373,
      "deflection": 0.005788512032555694,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001806)"
      },
      "parent_node_id": "node_774",
      "improvement_over_parent": null
    },
    "node_776": {
      "node_id": "node_776",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 175.79 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.786705050816,
      "fos_buckling": 0.9893889041235596,
      "fos_yielding": 1.8495297183942911,
      "deflection": 0.005756324587748584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.427)"
      },
      "parent_node_id": "node_775",
      "improvement_over_parent": null
    },
    "node_777": {
      "node_id": "node_777",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 195.01 kg\n  Factor of Safety: 1.09\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.00558206448113,
      "fos_buckling": 1.0860011551283972,
      "fos_yielding": 2.0496853771783545,
      "deflection": 0.00519486707043779,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_776",
      "improvement_over_parent": null
    },
    "node_778": {
      "node_id": "node_778",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 253.01 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.0135919337015,
      "fos_buckling": 1.3638559024170196,
      "fos_yielding": 2.65133034143508,
      "deflection": 0.004017482791767813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_777",
      "improvement_over_parent": null
    },
    "node_779": {
      "node_id": "node_779",
      "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0035)]\n\nPerformance:\n  Mass: 254.74 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.7426097235331,
      "fos_buckling": 1.3629991256578544,
      "fos_yielding": 2.6440186465289397,
      "deflection": 0.004025442628537907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.299)"
      },
      "parent_node_id": "node_778",
      "improvement_over_parent": null
    },
    "node_780": {
      "node_id": "node_780",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 116)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 195.13 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.1294970183393,
      "fos_buckling": 0.6006953308833769,
      "fos_yielding": 2.152572994614091,
      "deflection": 0.006112257732304686,
      "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: Increase 13 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 204.12 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.11538072458706,
      "fos_buckling": 0.6005419378625569,
      "fos_yielding": 2.1520214887302607,
      "deflection": 0.005918481026054724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.517)"
      },
      "parent_node_id": "node_781",
      "improvement_over_parent": null
    },
    "node_783": {
      "node_id": "node_783",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 234.61 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.60576560186925,
      "fos_buckling": 0.6724770326570265,
      "fos_yielding": 2.46742374941333,
      "deflection": 0.005158990433936087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_782",
      "improvement_over_parent": null
    },
    "node_784": {
      "node_id": "node_784",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 236.20 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.1964497206291,
      "fos_buckling": 0.6723255080830265,
      "fos_yielding": 2.466865663985187,
      "deflection": 0.00509469081406422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.248)"
      },
      "parent_node_id": "node_783",
      "improvement_over_parent": null
    },
    "node_785": {
      "node_id": "node_785",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.45157580252123,
      "fos_buckling": 1.5399758644888193,
      "fos_yielding": 2.6486596513749663,
      "deflection": 0.003961098605046537,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_784",
      "improvement_over_parent": null
    },
    "node_786": {
      "node_id": "node_786",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_785",
      "improvement_over_parent": null
    },
    "node_787": {
      "node_id": "node_787",
      "content": "INITIAL DESIGN (Trace 117)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 160.98 kg\n  Factor of Safety: 0.07\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": 160.9793118217984,
      "fos_buckling": 0.06819274325604147,
      "fos_yielding": 0.8578307205313054,
      "deflection": 0.014128287966520093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_788": {
      "node_id": "node_788",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 188.60 kg\n  Factor of Safety: 0.08\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": 188.596654697154,
      "fos_buckling": 0.07818352850513194,
      "fos_yielding": 1.0048511267022617,
      "deflection": 0.012068890539078433,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_787",
      "improvement_over_parent": null
    },
    "node_789": {
      "node_id": "node_789",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 197.03 kg\n  Factor of Safety: 0.58\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.02765772634044,
      "fos_buckling": 0.5830555001539489,
      "fos_yielding": 1.9264317112980736,
      "deflection": 0.006077306877320557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003049)"
      },
      "parent_node_id": "node_788",
      "improvement_over_parent": null
    },
    "node_790": {
      "node_id": "node_790",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 232.96 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.9558414024121,
      "fos_buckling": 0.6704290682666614,
      "fos_yielding": 2.2731480085683122,
      "deflection": 0.005149136326792854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_789",
      "improvement_over_parent": null
    },
    "node_791": {
      "node_id": "node_791",
      "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 235.94 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.94169200431446,
      "fos_buckling": 0.6570435996673871,
      "fos_yielding": 2.272565095607099,
      "deflection": 0.005102491517219341,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.245)"
      },
      "parent_node_id": "node_790",
      "improvement_over_parent": null
    },
    "node_792": {
      "node_id": "node_792",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 256.90 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.89787601113005,
      "fos_buckling": 1.5161386469370637,
      "fos_yielding": 2.6399378628630745,
      "deflection": 0.003958082053074168,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_791",
      "improvement_over_parent": null
    },
    "node_793": {
      "node_id": "node_793",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_792",
      "improvement_over_parent": null
    },
    "node_794": {
      "node_id": "node_794",
      "content": "INITIAL DESIGN (Trace 118)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 179.84 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.66e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.84464525004987,
      "fos_buckling": 0.9091463203866821,
      "fos_yielding": 1.9210891769458924,
      "deflection": 0.00566367289639616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_795": {
      "node_id": "node_795",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 210.73 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.73190926939978,
      "fos_buckling": 1.0526809251556521,
      "fos_yielding": 2.2472071296951706,
      "deflection": 0.00484161677308567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_794",
      "improvement_over_parent": null
    },
    "node_796": {
      "node_id": "node_796",
      "content": "MODIFICATION: Increase 15 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 214.99 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.98765619733356,
      "fos_buckling": 1.3268416278023933,
      "fos_yielding": 2.2158891982256725,
      "deflection": 0.004731908553888552,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.634)"
      },
      "parent_node_id": "node_795",
      "improvement_over_parent": null
    },
    "node_797": {
      "node_id": "node_797",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6600220281465,
      "fos_buckling": 1.5414212081584104,
      "fos_yielding": 2.6505486333006774,
      "deflection": 0.00395795631731102,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_796",
      "improvement_over_parent": null
    },
    "node_798": {
      "node_id": "node_798",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_797",
      "improvement_over_parent": null
    },
    "node_799": {
      "node_id": "node_799",
      "content": "INITIAL DESIGN (Trace 119)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 226.18 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.34e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.1752949798084,
      "fos_buckling": 0.6611950817897282,
      "fos_yielding": 2.2759303108907183,
      "deflection": 0.0053432944599105464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_800": {
      "node_id": "node_800",
      "content": "MODIFICATION: Increase 3 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 227.65 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.64913575151834,
      "fos_buckling": 0.6612105687059241,
      "fos_yielding": 2.2758342009802335,
      "deflection": 0.005286669210686239,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.395)"
      },
      "parent_node_id": "node_799",
      "improvement_over_parent": null
    },
    "node_801": {
      "node_id": "node_801",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 248.61 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.60531975833396,
      "fos_buckling": 1.275549383594327,
      "fos_yielding": 2.013842581710359,
      "deflection": 0.004257657431803716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_800",
      "improvement_over_parent": null
    },
    "node_802": {
      "node_id": "node_802",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 250.72 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7152875330949,
      "fos_buckling": 1.3203735157106382,
      "fos_yielding": 2.0116189080325753,
      "deflection": 0.004273446405004065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.404)"
      },
      "parent_node_id": "node_801",
      "improvement_over_parent": null
    },
    "node_803": {
      "node_id": "node_803",
      "content": "MODIFICATION: Increase 15 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 254.33 kg\n  Factor of Safety: 1.43\n  Max Deflection: 4.21e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.32597240919745,
      "fos_buckling": 1.4292240242511713,
      "fos_yielding": 2.0155463413139927,
      "deflection": 0.0042134310382798325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.391)"
      },
      "parent_node_id": "node_802",
      "improvement_over_parent": null
    },
    "node_804": {
      "node_id": "node_804",
      "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5223069379924,
      "fos_buckling": 1.5408346759372937,
      "fos_yielding": 2.6494040499864453,
      "deflection": 0.003960231987417364,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.597)"
      },
      "parent_node_id": "node_803",
      "improvement_over_parent": null
    },
    "node_805": {
      "node_id": "node_805",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_804",
      "improvement_over_parent": null
    },
    "node_806": {
      "node_id": "node_806",
      "content": "INITIAL DESIGN (Trace 120)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_807": {
      "node_id": "node_807",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 198.07 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.33e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.06756659849805,
      "fos_buckling": 0.22229466283207788,
      "fos_yielding": 1.317798495876608,
      "deflection": 0.009326950633509601,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_806",
      "improvement_over_parent": null
    },
    "node_808": {
      "node_id": "node_808",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 230.02 kg\n  Factor of Safety: 0.59\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.01750897223556,
      "fos_buckling": 0.5873258099405922,
      "fos_yielding": 2.2755086266682247,
      "deflection": 0.004986948342361851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_807",
      "improvement_over_parent": null
    },
    "node_809": {
      "node_id": "node_809",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 250.97 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.97369297905118,
      "fos_buckling": 1.4357596940923913,
      "fos_yielding": 2.7181012658675088,
      "deflection": 0.003888113461781927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_808",
      "improvement_over_parent": null
    },
    "node_810": {
      "node_id": "node_810",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5324811672008,
      "fos_buckling": 1.5408121629122211,
      "fos_yielding": 2.649375361397789,
      "deflection": 0.00395986457656333,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_809",
      "improvement_over_parent": null
    },
    "node_811": {
      "node_id": "node_811",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_810",
      "improvement_over_parent": null
    },
    "node_812": {
      "node_id": "node_812",
      "content": "INITIAL DESIGN (Trace 121)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 134.25 kg\n  Factor of Safety: 0.29\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": 134.2505753983474,
      "fos_buckling": 0.28817395997476986,
      "fos_yielding": 0.8745028550983591,
      "deflection": 0.01949402502020703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_813": {
      "node_id": "node_813",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n  Mass: 138.86 kg\n  Factor of Safety: 0.29\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": 138.86418762508856,
      "fos_buckling": 0.2880974713170052,
      "fos_yielding": 0.8742712043254686,
      "deflection": 0.019522171327099422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001838)"
      },
      "parent_node_id": "node_812",
      "improvement_over_parent": null
    },
    "node_814": {
      "node_id": "node_814",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n  Mass: 166.60 kg\n  Factor of Safety: 0.34\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": 166.6036302359521,
      "fos_buckling": 0.3382220524627465,
      "fos_yielding": 1.0465824385306033,
      "deflection": 0.016300523161091755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_813",
      "improvement_over_parent": null
    },
    "node_815": {
      "node_id": "node_815",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 172.70 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.7036803087383,
      "fos_buckling": 1.0812723215263877,
      "fos_yielding": 1.8913936948975538,
      "deflection": 0.005748359151670559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002762)"
      },
      "parent_node_id": "node_814",
      "improvement_over_parent": null
    },
    "node_816": {
      "node_id": "node_816",
      "content": "MODIFICATION: Increase 17 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0047)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 178.90 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.89823100397246,
      "fos_buckling": 1.066286881014565,
      "fos_yielding": 1.8922064011291928,
      "deflection": 0.005672408027661352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.538)"
      },
      "parent_node_id": "node_815",
      "improvement_over_parent": null
    },
    "node_817": {
      "node_id": "node_817",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 227.26 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.25640662256868,
      "fos_buckling": 1.3118271508549224,
      "fos_yielding": 2.399265924682801,
      "deflection": 0.00447479642205758,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 230.27 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.2725478119011,
      "fos_buckling": 1.314001555176933,
      "fos_yielding": 2.390982713564248,
      "deflection": 0.004486449400636632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.587)"
      },
      "parent_node_id": "node_817",
      "improvement_over_parent": null
    },
    "node_819": {
      "node_id": "node_819",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0042)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0068)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 256.33 kg\n  Factor of Safety: 1.44\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.3331734432017,
      "fos_buckling": 1.4376518219442678,
      "fos_yielding": 2.6598002900168076,
      "deflection": 0.004033628652587512,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_818",
      "improvement_over_parent": null
    },
    "node_820": {
      "node_id": "node_820",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_819",
      "improvement_over_parent": null
    },
    "node_821": {
      "node_id": "node_821",
      "content": "INITIAL DESIGN (Trace 122)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 158.33 kg\n  Factor of Safety: 0.29\n  Max Deflection: 7.83e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.3265324574419,
      "fos_buckling": 0.28719478872347093,
      "fos_yielding": 0.877583133377299,
      "deflection": 7829993901824.863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_822": {
      "node_id": "node_822",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 172.93 kg\n  Factor of Safety: 0.38\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": 172.93128840807452,
      "fos_buckling": 0.3817831972775787,
      "fos_yielding": 1.294613890926523,
      "deflection": 0.01558606418915418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003533)"
      },
      "parent_node_id": "node_821",
      "improvement_over_parent": null
    },
    "node_823": {
      "node_id": "node_823",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 213.21 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.20730617936738,
      "fos_buckling": 0.45403931572347533,
      "fos_yielding": 1.591492627017913,
      "deflection": 0.012664970994418814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_822",
      "improvement_over_parent": null
    },
    "node_824": {
      "node_id": "node_824",
      "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 218.89 kg\n  Factor of Safety: 0.45\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": 218.89212472843144,
      "fos_buckling": 0.4538175252223398,
      "fos_yielding": 1.5905440745158703,
      "deflection": 0.012303868213041854,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.504)"
      },
      "parent_node_id": "node_823",
      "improvement_over_parent": null
    },
    "node_825": {
      "node_id": "node_825",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 240.15 kg\n  Factor of Safety: 0.45\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": 240.14725081032358,
      "fos_buckling": 0.4535414087920977,
      "fos_yielding": 1.4766084106698079,
      "deflection": 0.012142632787080098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_824",
      "improvement_over_parent": null
    },
    "node_826": {
      "node_id": "node_826",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 246.71 kg\n  Factor of Safety: 0.45\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": 246.7060389984732,
      "fos_buckling": 0.45328610070935105,
      "fos_yielding": 1.4757799399703135,
      "deflection": 0.011464611688632585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_825",
      "improvement_over_parent": null
    },
    "node_827": {
      "node_id": "node_827",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 248.95 kg\n  Factor of Safety: 0.45\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": 248.9511894814165,
      "fos_buckling": 0.4531696695986175,
      "fos_yielding": 1.475402121830697,
      "deflection": 0.011114508622270463,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.319)"
      },
      "parent_node_id": "node_826",
      "improvement_over_parent": null
    },
    "node_828": {
      "node_id": "node_828",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58805300907005,
      "fos_buckling": 1.5411099744567276,
      "fos_yielding": 2.6499344162199443,
      "deflection": 0.00395911831649113,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_827",
      "improvement_over_parent": null
    },
    "node_829": {
      "node_id": "node_829",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_828",
      "improvement_over_parent": null
    },
    "node_830": {
      "node_id": "node_830",
      "content": "INITIAL DESIGN (Trace 123)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 161.35 kg\n  Factor of Safety: 0.91\n  Max Deflection: 6.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.34531334692517,
      "fos_buckling": 0.9102134022009609,
      "fos_yielding": 1.6737965995213318,
      "deflection": 0.006295391865589361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_831": {
      "node_id": "node_831",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.51386066011028,
      "fos_buckling": 1.136702884388483,
      "fos_yielding": 2.127676904700149,
      "deflection": 0.0049545584554127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_830",
      "improvement_over_parent": null
    },
    "node_832": {
      "node_id": "node_832",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 207.49 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.48791756264302,
      "fos_buckling": 1.2875092759595865,
      "fos_yielding": 2.139439556203551,
      "deflection": 0.0049007951474806756,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.350)"
      },
      "parent_node_id": "node_831",
      "improvement_over_parent": null
    },
    "node_833": {
      "node_id": "node_833",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3811397499001,
      "fos_buckling": 1.5401104317667875,
      "fos_yielding": 2.647856006038897,
      "deflection": 0.0039621586629060455,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_832",
      "improvement_over_parent": null
    },
    "node_834": {
      "node_id": "node_834",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_833",
      "improvement_over_parent": null
    },
    "node_835": {
      "node_id": "node_835",
      "content": "INITIAL DESIGN (Trace 124)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 201.76 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.7574709304623,
      "fos_buckling": 0.5878555570754815,
      "fos_yielding": 2.0027223238415774,
      "deflection": 0.00593488033118704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_836": {
      "node_id": "node_836",
      "content": "MODIFICATION: Increase 15 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 204.74 kg\n  Factor of Safety: 0.58\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.7419820164915,
      "fos_buckling": 0.5795695161198585,
      "fos_yielding": 2.0022081068841797,
      "deflection": 0.005844767352528041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.355)"
      },
      "parent_node_id": "node_835",
      "improvement_over_parent": null
    },
    "node_837": {
      "node_id": "node_837",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 232.92 kg\n  Factor of Safety: 0.65\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.9202375997497,
      "fos_buckling": 0.649394477750021,
      "fos_yielding": 2.2741908779512703,
      "deflection": 0.0051448675056311064,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_836",
      "improvement_over_parent": null
    },
    "node_838": {
      "node_id": "node_838",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.29 kg\n  Factor of Safety: 0.65\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.2934770756142,
      "fos_buckling": 0.649486742015388,
      "fos_yielding": 2.274101449124653,
      "deflection": 0.005134951550566337,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.451)"
      },
      "parent_node_id": "node_837",
      "improvement_over_parent": null
    },
    "node_839": {
      "node_id": "node_839",
      "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.25 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.25175328604374,
      "fos_buckling": 0.6757918334187442,
      "fos_yielding": 2.273914255787887,
      "deflection": 0.005144613838056371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.188)"
      },
      "parent_node_id": "node_838",
      "improvement_over_parent": null
    },
    "node_840": {
      "node_id": "node_840",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.53 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.53358870303214,
      "fos_buckling": 0.6737299304472929,
      "fos_yielding": 2.2738307995120013,
      "deflection": 0.005116583538124046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.199)"
      },
      "parent_node_id": "node_839",
      "improvement_over_parent": null
    },
    "node_841": {
      "node_id": "node_841",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4897727098477,
      "fos_buckling": 1.5405824631050442,
      "fos_yielding": 2.648909168189677,
      "deflection": 0.003960491187885494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_840",
      "improvement_over_parent": null
    },
    "node_842": {
      "node_id": "node_842",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_841",
      "improvement_over_parent": null
    },
    "node_843": {
      "node_id": "node_843",
      "content": "INITIAL DESIGN (Trace 125)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 169.28 kg\n  Factor of Safety: 0.56\n  Max Deflection: 7.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.28026228412745,
      "fos_buckling": 0.557443949683679,
      "fos_yielding": 1.9015459603158709,
      "deflection": 0.007211001437379127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_844": {
      "node_id": "node_844",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 186.15 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.15300834090218,
      "fos_buckling": 0.7521553950428195,
      "fos_yielding": 1.900625169038781,
      "deflection": 0.006166182691025039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003749)"
      },
      "parent_node_id": "node_843",
      "improvement_over_parent": null
    },
    "node_845": {
      "node_id": "node_845",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 200.48 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.47518622266037,
      "fos_buckling": 0.9595587920394013,
      "fos_yielding": 1.9306846209500816,
      "deflection": 0.005629028986776195,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003454)"
      },
      "parent_node_id": "node_844",
      "improvement_over_parent": null
    },
    "node_846": {
      "node_id": "node_846",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 252.52 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.51929478913155,
      "fos_buckling": 1.1627033777807676,
      "fos_yielding": 2.4263661498779734,
      "deflection": 0.004482392714416799,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_845",
      "improvement_over_parent": null
    },
    "node_847": {
      "node_id": "node_847",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5225213977979,
      "fos_buckling": 1.5407958822012155,
      "fos_yielding": 2.649312836943046,
      "deflection": 0.00396000237661997,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_846",
      "improvement_over_parent": null
    },
    "node_848": {
      "node_id": "node_848",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_847",
      "improvement_over_parent": null
    },
    "node_849": {
      "node_id": "node_849",
      "content": "INITIAL DESIGN (Trace 126)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 121.72 kg\n  Factor of Safety: 0.06\n  Max Deflection: 7.46e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.72297073043272,
      "fos_buckling": 0.06496276470804663,
      "fos_yielding": 0.7902287449861374,
      "deflection": 7455328059274.919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_850": {
      "node_id": "node_850",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n  Mass: 126.72 kg\n  Factor of Safety: 0.47\n  Max Deflection: 9.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.72412633229348,
      "fos_buckling": 0.471660740241788,
      "fos_yielding": 1.3239490365537705,
      "deflection": 0.009061646364785224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002117)"
      },
      "parent_node_id": "node_849",
      "improvement_over_parent": null
    },
    "node_851": {
      "node_id": "node_851",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n  Mass: 127.93 kg\n  Factor of Safety: 0.47\n  Max Deflection: 8.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.92789522443411,
      "fos_buckling": 0.47162445877007964,
      "fos_yielding": 1.3237655574759482,
      "deflection": 0.008904637774835527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.244)"
      },
      "parent_node_id": "node_850",
      "improvement_over_parent": null
    },
    "node_852": {
      "node_id": "node_852",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n\nPerformance:\n  Mass: 161.26 kg\n  Factor of Safety: 0.58\n  Max Deflection: 7.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.26102708564068,
      "fos_buckling": 0.584828650941513,
      "fos_yielding": 1.665984238596988,
      "deflection": 0.007078543201629852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_851",
      "improvement_over_parent": null
    },
    "node_853": {
      "node_id": "node_853",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n  Mass: 182.83 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.25e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.82895907328341,
      "fos_buckling": 0.6559124513093036,
      "fos_yielding": 1.8868296582011999,
      "deflection": 0.0062518117752915605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_852",
      "improvement_over_parent": null
    },
    "node_854": {
      "node_id": "node_854",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0038)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n\nPerformance:\n  Mass: 209.20 kg\n  Factor of Safety: 0.74\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.19909854161656,
      "fos_buckling": 0.7404964720966233,
      "fos_yielding": 2.156229373490249,
      "deflection": 0.00547265382615024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_853",
      "improvement_over_parent": null
    },
    "node_855": {
      "node_id": "node_855",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0046)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 244.97 kg\n  Factor of Safety: 0.85\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.9682511296772,
      "fos_buckling": 0.8511046241069177,
      "fos_yielding": 2.5205748602787494,
      "deflection": 0.00468390915941166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_854",
      "improvement_over_parent": null
    },
    "node_856": {
      "node_id": "node_856",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0046)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 258.72 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.92e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.7177195958646,
      "fos_buckling": 1.5304045355746332,
      "fos_yielding": 2.6566068647068644,
      "deflection": 0.00391566290438402,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_855",
      "improvement_over_parent": null
    },
    "node_857": {
      "node_id": "node_857",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_856",
      "improvement_over_parent": null
    },
    "node_858": {
      "node_id": "node_858",
      "content": "INITIAL DESIGN (Trace 127)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 164.19 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.18642607683424,
      "fos_buckling": 0.6702557626808163,
      "fos_yielding": 1.6660004968605464,
      "deflection": 0.006384199481637221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_859": {
      "node_id": "node_859",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 176.72 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.72371411957045,
      "fos_buckling": 1.005374807528296,
      "fos_yielding": 1.8623467652578818,
      "deflection": 0.005745197914728766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002996)"
      },
      "parent_node_id": "node_858",
      "improvement_over_parent": null
    },
    "node_860": {
      "node_id": "node_860",
      "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 178.98 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.97696825701016,
      "fos_buckling": 1.1333355801901677,
      "fos_yielding": 1.8479488425290886,
      "deflection": 0.0056720874011013216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.328)"
      },
      "parent_node_id": "node_859",
      "improvement_over_parent": null
    },
    "node_861": {
      "node_id": "node_861",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 223.81 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.80520952006194,
      "fos_buckling": 1.372556715291026,
      "fos_yielding": 2.3060689794391296,
      "deflection": 0.004547726481923997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_860",
      "improvement_over_parent": null
    },
    "node_862": {
      "node_id": "node_862",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.822036356139,
      "fos_buckling": 1.5422725591468587,
      "fos_yielding": 2.652451508506053,
      "deflection": 0.003955449400981559,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_861",
      "improvement_over_parent": null
    },
    "node_863": {
      "node_id": "node_863",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_862",
      "improvement_over_parent": null
    },
    "node_864": {
      "node_id": "node_864",
      "content": "INITIAL DESIGN (Trace 128)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 195.33 kg\n  Factor of Safety: 0.54\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.3274454326477,
      "fos_buckling": 0.5368438849836874,
      "fos_yielding": 2.044193279236575,
      "deflection": 0.005215795636894931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_865": {
      "node_id": "node_865",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n\nPerformance:\n  Mass: 201.21 kg\n  Factor of Safety: 0.53\n  Max Deflection: 5.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.21028214494413,
      "fos_buckling": 0.5334183292079927,
      "fos_yielding": 2.0431583036319267,
      "deflection": 0.005677195090917397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002376)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 208.24 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.238727290007,
      "fos_buckling": 0.596013979777635,
      "fos_yielding": 2.0423347037405266,
      "deflection": 0.005819657208260709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002881)"
      },
      "parent_node_id": "node_865",
      "improvement_over_parent": null
    },
    "node_867": {
      "node_id": "node_867",
      "content": "MODIFICATION: Increase 15 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 215.34 kg\n  Factor of Safety: 0.60\n  Max Deflection: 5.55e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.34454179645334,
      "fos_buckling": 0.5962115299804533,
      "fos_yielding": 2.0410869708028008,
      "deflection": 0.005550680554347426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.499)"
      },
      "parent_node_id": "node_866",
      "improvement_over_parent": null
    },
    "node_868": {
      "node_id": "node_868",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 239.92 kg\n  Factor of Safety: 0.65\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.92311220006346,
      "fos_buckling": 0.65257505099639,
      "fos_yielding": 2.272335132768249,
      "deflection": 0.004987451959486879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_867",
      "improvement_over_parent": null
    },
    "node_869": {
      "node_id": "node_869",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 260.88 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.8792962068791,
      "fos_buckling": 1.2738537664884377,
      "fos_yielding": 2.6710838086501076,
      "deflection": 0.00400006669679895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_868",
      "improvement_over_parent": null
    },
    "node_870": {
      "node_id": "node_870",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_869",
      "improvement_over_parent": null
    },
    "node_871": {
      "node_id": "node_871",
      "content": "INITIAL DESIGN (Trace 129)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0012)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 140.48 kg\n  Factor of Safety: 0.71\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.47917951231165,
      "fos_buckling": 0.7141922052276312,
      "fos_yielding": 1.5053844253740227,
      "deflection": 0.007237701840069273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_872": {
      "node_id": "node_872",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 183.74 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.7435709001595,
      "fos_buckling": 0.9192497662269519,
      "fos_yielding": 1.9643514212911048,
      "deflection": 0.005546460374329011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_871",
      "improvement_over_parent": null
    },
    "node_873": {
      "node_id": "node_873",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 211.53 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.534899248053,
      "fos_buckling": 1.0472462751288496,
      "fos_yielding": 2.2579960890945707,
      "deflection": 0.004824981778826561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_872",
      "improvement_over_parent": null
    },
    "node_874": {
      "node_id": "node_874",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.23 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.23284585629887,
      "fos_buckling": 1.229403703756866,
      "fos_yielding": 2.6863297357888145,
      "deflection": 0.004055305349533579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_873",
      "improvement_over_parent": null
    },
    "node_875": {
      "node_id": "node_875",
      "content": "MODIFICATION: Increase 15 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.38451319604053,
      "fos_buckling": 1.5401556519251711,
      "fos_yielding": 2.6480266410685243,
      "deflection": 0.003962085736464587,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.658)"
      },
      "parent_node_id": "node_874",
      "improvement_over_parent": null
    },
    "node_876": {
      "node_id": "node_876",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_875",
      "improvement_over_parent": null
    },
    "node_877": {
      "node_id": "node_877",
      "content": "INITIAL DESIGN (Trace 130)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 135.84 kg\n  Factor of Safety: 0.74\n  Max Deflection: 8.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.84389757206708,
      "fos_buckling": 0.7434207999295125,
      "fos_yielding": 1.1032708661593051,
      "deflection": 0.008112580959507105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_878": {
      "node_id": "node_878",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 165.98 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.98160803202535,
      "fos_buckling": 0.8868684143060117,
      "fos_yielding": 1.351720437407738,
      "deflection": 0.006647188892636679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_877",
      "improvement_over_parent": null
    },
    "node_879": {
      "node_id": "node_879",
      "content": "MODIFICATION: Increase 16 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 170.08 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.07500073570455,
      "fos_buckling": 0.8866958544118472,
      "fos_yielding": 1.3923068831282936,
      "deflection": 0.0065658579975446845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.486)"
      },
      "parent_node_id": "node_878",
      "improvement_over_parent": null
    },
    "node_880": {
      "node_id": "node_880",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n\nPerformance:\n  Mass: 180.34 kg\n  Factor of Safety: 1.06\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.3376775978101,
      "fos_buckling": 1.0601158702895994,
      "fos_yielding": 1.4035593960807404,
      "deflection": 0.005901254945390845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002351)"
      },
      "parent_node_id": "node_879",
      "improvement_over_parent": null
    },
    "node_881": {
      "node_id": "node_881",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 225.10 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.1038968926347,
      "fos_buckling": 1.284000093391224,
      "fos_yielding": 1.757908695169241,
      "deflection": 0.004735510536364997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_880",
      "improvement_over_parent": null
    },
    "node_882": {
      "node_id": "node_882",
      "content": "MODIFICATION: Increase 14 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 229.19 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.19098218618532,
      "fos_buckling": 1.2259961668355799,
      "fos_yielding": 1.7603722318122295,
      "deflection": 0.00468478633442168,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.370)"
      },
      "parent_node_id": "node_881",
      "improvement_over_parent": null
    },
    "node_883": {
      "node_id": "node_883",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 253.58 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.5830861516853,
      "fos_buckling": 1.3424872238497374,
      "fos_yielding": 1.952035253583781,
      "deflection": 0.004237314211381809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_882",
      "improvement_over_parent": null
    },
    "node_884": {
      "node_id": "node_884",
      "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 256.98 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.98223029791137,
      "fos_buckling": 1.5046251070847532,
      "fos_yielding": 2.6366858707335212,
      "deflection": 0.003960276729723591,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.658)"
      },
      "parent_node_id": "node_883",
      "improvement_over_parent": null
    },
    "node_885": {
      "node_id": "node_885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 131)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 141.83 kg\n  Factor of Safety: 0.93\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.83180801165724,
      "fos_buckling": 0.9329622906398558,
      "fos_yielding": 1.3691961592798774,
      "deflection": 0.007182754108469375,
      "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 all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 167.70 kg\n  Factor of Safety: 1.09\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.6984371106826,
      "fos_buckling": 1.0909737011064395,
      "fos_yielding": 1.6207426035571808,
      "deflection": 0.006083522596422951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_886",
      "improvement_over_parent": null
    },
    "node_888": {
      "node_id": "node_888",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 169.08 kg\n  Factor of Safety: 1.08\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.08268604931834,
      "fos_buckling": 1.0780873265837962,
      "fos_yielding": 1.7464883787574248,
      "deflection": 0.006000605418148418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.357)"
      },
      "parent_node_id": "node_887",
      "improvement_over_parent": null
    },
    "node_889": {
      "node_id": "node_889",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 221.19 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.19024812406644,
      "fos_buckling": 1.359022737534658,
      "fos_yielding": 2.2792783874802676,
      "deflection": 0.0046008252600116695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_888",
      "improvement_over_parent": null
    },
    "node_890": {
      "node_id": "node_890",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.634392841936,
      "fos_buckling": 1.5412920127175112,
      "fos_yielding": 2.650407826321798,
      "deflection": 0.003958311944156008,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_889",
      "improvement_over_parent": null
    },
    "node_891": {
      "node_id": "node_891",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_890",
      "improvement_over_parent": null
    },
    "node_892": {
      "node_id": "node_892",
      "content": "INITIAL DESIGN (Trace 132)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 191.52 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.10e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.51864547901258,
      "fos_buckling": 0.7810610679656651,
      "fos_yielding": 1.9983563263739015,
      "deflection": 0.006103127925526603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_893": {
      "node_id": "node_893",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 193.03 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.0310678746849,
      "fos_buckling": 0.7810044146926941,
      "fos_yielding": 1.9980962085081497,
      "deflection": 0.00598983585605582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.305)"
      },
      "parent_node_id": "node_892",
      "improvement_over_parent": null
    },
    "node_894": {
      "node_id": "node_894",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n  Mass: 203.92 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.91793720009264,
      "fos_buckling": 1.2686224923202027,
      "fos_yielding": 2.1030506748070557,
      "deflection": 0.004985840267857812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003007)"
      },
      "parent_node_id": "node_893",
      "improvement_over_parent": null
    },
    "node_895": {
      "node_id": "node_895",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59812076686126,
      "fos_buckling": 1.5411921636151351,
      "fos_yielding": 2.6501588217520626,
      "deflection": 0.003959083881539527,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_894",
      "improvement_over_parent": null
    },
    "node_896": {
      "node_id": "node_896",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_895",
      "improvement_over_parent": null
    },
    "node_897": {
      "node_id": "node_897",
      "content": "INITIAL DESIGN (Trace 133)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 174.23 kg\n  Factor of Safety: 0.68\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.22820902949707,
      "fos_buckling": 0.6845813240142665,
      "fos_yielding": 1.6168710904510217,
      "deflection": 0.0073592369054549436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_898": {
      "node_id": "node_898",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 200.68 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.40e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.68416578695542,
      "fos_buckling": 0.7719191086738714,
      "fos_yielding": 1.8626806820276238,
      "deflection": 0.006399366394532192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_897",
      "improvement_over_parent": null
    },
    "node_899": {
      "node_id": "node_899",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 201.99 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.98882973595192,
      "fos_buckling": 0.7718165528779776,
      "fos_yielding": 2.2064193525540827,
      "deflection": 0.006252351689629096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.200)"
      },
      "parent_node_id": "node_898",
      "improvement_over_parent": null
    },
    "node_900": {
      "node_id": "node_900",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 206.12 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.1177867044125,
      "fos_buckling": 0.9361529092946191,
      "fos_yielding": 2.206158231329058,
      "deflection": 0.005463215085863686,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002570)"
      },
      "parent_node_id": "node_899",
      "improvement_over_parent": null
    },
    "node_901": {
      "node_id": "node_901",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n\nPerformance:\n  Mass: 218.15 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.15414815164797,
      "fos_buckling": 1.3207163575042664,
      "fos_yielding": 2.3343270837328944,
      "deflection": 0.0045987477558184974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003351)"
      },
      "parent_node_id": "node_900",
      "improvement_over_parent": null
    },
    "node_902": {
      "node_id": "node_902",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 249.21 kg\n  Factor of Safety: 1.47\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.2137573615609,
      "fos_buckling": 1.4740558816981009,
      "fos_yielding": 2.661797033559956,
      "deflection": 0.004033416485767458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_901",
      "improvement_over_parent": null
    },
    "node_903": {
      "node_id": "node_903",
      "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 251.59 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.59317146036096,
      "fos_buckling": 1.4812363764751484,
      "fos_yielding": 2.6677704853274067,
      "deflection": 0.0040447433579668185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.346)"
      },
      "parent_node_id": "node_902",
      "improvement_over_parent": null
    },
    "node_904": {
      "node_id": "node_904",
      "content": "MODIFICATION: Increase 14 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 254.11 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.10617466530678,
      "fos_buckling": 1.4819788768363495,
      "fos_yielding": 2.6601060412178597,
      "deflection": 0.004052802614533172,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.441)"
      },
      "parent_node_id": "node_903",
      "improvement_over_parent": null
    },
    "node_905": {
      "node_id": "node_905",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_904",
      "improvement_over_parent": null
    },
    "node_906": {
      "node_id": "node_906",
      "content": "INITIAL DESIGN (Trace 134)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0013)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 101.47 kg\n  Factor of Safety: 0.04\n  Max Deflection: 6.47e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 101.47021661028775,
      "fos_buckling": 0.03655703220035809,
      "fos_yielding": 0.07842726988467624,
      "deflection": 64740063680535.68,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_907": {
      "node_id": "node_907",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 126.68 kg\n  Factor of Safety: 0.14\n  Max Deflection: 1.22e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.6835071662945,
      "fos_buckling": 0.14325187666230627,
      "fos_yielding": 0.7853243433606008,
      "deflection": 12178225057937.879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_906",
      "improvement_over_parent": null
    },
    "node_908": {
      "node_id": "node_908",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 154.44 kg\n  Factor of Safety: 0.07\n  Max Deflection: 2.76e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.43738250590272,
      "fos_buckling": 0.07120048869513655,
      "fos_yielding": 0.25851423526328204,
      "deflection": 27605396725317.934,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_907",
      "improvement_over_parent": null
    },
    "node_909": {
      "node_id": "node_909",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 156.60 kg\n  Factor of Safety: 0.06\n  Max Deflection: 2.02e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.59516520130836,
      "fos_buckling": 0.06102899031011705,
      "fos_yielding": 0.6141934351227872,
      "deflection": 20169721296331.23,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.495)"
      },
      "parent_node_id": "node_908",
      "improvement_over_parent": null
    },
    "node_910": {
      "node_id": "node_910",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 194.32 kg\n  Factor of Safety: 0.34\n  Max Deflection: 5.83e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.31978937371687,
      "fos_buckling": 0.34305507721000633,
      "fos_yielding": 1.4101710783899684,
      "deflection": 5834109576734.507,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_909",
      "improvement_over_parent": null
    },
    "node_911": {
      "node_id": "node_911",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 220.67 kg\n  Factor of Safety: 0.10\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.67065391390187,
      "fos_buckling": 0.09533991505192042,
      "fos_yielding": 0.5497999407062967,
      "deflection": 16860579594046.637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_910",
      "improvement_over_parent": null
    },
    "node_912": {
      "node_id": "node_912",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 225.67 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.6738805225682,
      "fos_buckling": 0.26772553000962557,
      "fos_yielding": 1.4546197540417078,
      "deflection": 0.008131572279716278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_911",
      "improvement_over_parent": null
    },
    "node_913": {
      "node_id": "node_913",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6238228963057,
      "fos_buckling": 1.5408565624889627,
      "fos_yielding": 2.650440600954123,
      "deflection": 0.003958254536615419,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_912",
      "improvement_over_parent": null
    },
    "node_914": {
      "node_id": "node_914",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_913",
      "improvement_over_parent": null
    },
    "node_915": {
      "node_id": "node_915",
      "content": "INITIAL DESIGN (Trace 135)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 161.89 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.89354786913694,
      "fos_buckling": 0.6669803114904486,
      "fos_yielding": 1.7845348759858939,
      "deflection": 0.006741119405136868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_916": {
      "node_id": "node_916",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 190.99 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.98578710901836,
      "fos_buckling": 0.7687968305226953,
      "fos_yielding": 2.1023029861717752,
      "deflection": 0.005724260596906317,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_915",
      "improvement_over_parent": null
    },
    "node_917": {
      "node_id": "node_917",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.52 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.52134918812098,
      "fos_buckling": 0.9266569015041444,
      "fos_yielding": 2.630493700110717,
      "deflection": 0.00457761586686332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_916",
      "improvement_over_parent": null
    },
    "node_918": {
      "node_id": "node_918",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51071375478085,
      "fos_buckling": 1.5407314968017007,
      "fos_yielding": 2.6491670155740734,
      "deflection": 0.003960196076985296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_917",
      "improvement_over_parent": null
    },
    "node_919": {
      "node_id": "node_919",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_918",
      "improvement_over_parent": null
    },
    "node_920": {
      "node_id": "node_920",
      "content": "INITIAL DESIGN (Trace 136)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 161.81 kg\n  Factor of Safety: 0.56\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.81486239368763,
      "fos_buckling": 0.5561275441031073,
      "fos_yielding": 1.7543316311723463,
      "deflection": 0.00809385197395724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_921": {
      "node_id": "node_921",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n\nPerformance:\n  Mass: 167.46 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.15e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.46048756385613,
      "fos_buckling": 0.7049587277199728,
      "fos_yielding": 1.753390315730053,
      "deflection": 0.007153474563059455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002276)"
      },
      "parent_node_id": "node_920",
      "improvement_over_parent": null
    },
    "node_922": {
      "node_id": "node_922",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 189.26 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.2590976136824,
      "fos_buckling": 0.7825036300826101,
      "fos_yielding": 1.9795210898940658,
      "deflection": 0.006337505625751598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_921",
      "improvement_over_parent": null
    },
    "node_923": {
      "node_id": "node_923",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 190.58 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.5816783898128,
      "fos_buckling": 0.7823264608598551,
      "fos_yielding": 1.9794382345696395,
      "deflection": 0.006270030516539623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.269)"
      },
      "parent_node_id": "node_922",
      "improvement_over_parent": null
    },
    "node_924": {
      "node_id": "node_924",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 194.65 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.65424342722815,
      "fos_buckling": 0.7822355671038678,
      "fos_yielding": 2.1378536454764427,
      "deflection": 0.005607958102933798,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002447)"
      },
      "parent_node_id": "node_923",
      "improvement_over_parent": null
    },
    "node_925": {
      "node_id": "node_925",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 209.30 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.29738804058334,
      "fos_buckling": 1.2093397231688785,
      "fos_yielding": 2.1528837151312787,
      "deflection": 0.004884094112675903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003543)"
      },
      "parent_node_id": "node_924",
      "improvement_over_parent": null
    },
    "node_926": {
      "node_id": "node_926",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.32 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.3162615030329,
      "fos_buckling": 1.4510553641032404,
      "fos_yielding": 2.641379924687361,
      "deflection": 0.003982905919940291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_925",
      "improvement_over_parent": null
    },
    "node_927": {
      "node_id": "node_927",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_926",
      "improvement_over_parent": null
    },
    "node_928": {
      "node_id": "node_928",
      "content": "INITIAL DESIGN (Trace 137)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 198.29 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.2912407941278,
      "fos_buckling": 0.8242870266652358,
      "fos_yielding": 2.1079510617811033,
      "deflection": 0.005883403293284246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_929": {
      "node_id": "node_929",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 214.84 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.84014484060103,
      "fos_buckling": 0.8238986118439259,
      "fos_yielding": 2.2858141247543493,
      "deflection": 0.005291673291602781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003907)"
      },
      "parent_node_id": "node_928",
      "improvement_over_parent": null
    },
    "node_930": {
      "node_id": "node_930",
      "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 218.21 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.29e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.21275362838307,
      "fos_buckling": 0.8238986118439255,
      "fos_yielding": 2.2858141247543493,
      "deflection": 0.005291673291602782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.610)"
      },
      "parent_node_id": "node_929",
      "improvement_over_parent": null
    },
    "node_931": {
      "node_id": "node_931",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 219.15 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.27e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.15214208310078,
      "fos_buckling": 0.8238765746920774,
      "fos_yielding": 2.283290622073681,
      "deflection": 0.005273295302127009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.299)"
      },
      "parent_node_id": "node_930",
      "improvement_over_parent": null
    },
    "node_932": {
      "node_id": "node_932",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 223.24 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.2410535517988,
      "fos_buckling": 1.3696680069659222,
      "fos_yielding": 2.3002675888057293,
      "deflection": 0.004559079012642411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002543)"
      },
      "parent_node_id": "node_931",
      "improvement_over_parent": null
    },
    "node_933": {
      "node_id": "node_933",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3823544493002,
      "fos_buckling": 1.5401568277413826,
      "fos_yielding": 2.6479268114071144,
      "deflection": 0.003962113776297212,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_932",
      "improvement_over_parent": null
    },
    "node_934": {
      "node_id": "node_934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_933",
      "improvement_over_parent": null
    },
    "node_935": {
      "node_id": "node_935",
      "content": "INITIAL DESIGN (Trace 138)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 181.81 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.81044560097948,
      "fos_buckling": 0.7963912968728593,
      "fos_yielding": 1.44539570264002,
      "deflection": 0.00580025202122351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_936": {
      "node_id": "node_936",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 213.44 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.43939822291645,
      "fos_buckling": 0.92409844342574,
      "fos_yielding": 1.7007168896804243,
      "deflection": 0.004946714026325569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_935",
      "improvement_over_parent": null
    },
    "node_937": {
      "node_id": "node_937",
      "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 216.11 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.1061307665654,
      "fos_buckling": 1.170893764601008,
      "fos_yielding": 2.2738542256217054,
      "deflection": 0.004675277895857945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.603)"
      },
      "parent_node_id": "node_936",
      "improvement_over_parent": null
    },
    "node_938": {
      "node_id": "node_938",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 221.83 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.82974637529844,
      "fos_buckling": 1.362327259282252,
      "fos_yielding": 2.285750555375857,
      "deflection": 0.004587624063202051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002540)"
      },
      "parent_node_id": "node_937",
      "improvement_over_parent": null
    },
    "node_939": {
      "node_id": "node_939",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3726889243088,
      "fos_buckling": 1.5400316101364202,
      "fos_yielding": 2.6476891142099417,
      "deflection": 0.003962186303427139,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_938",
      "improvement_over_parent": null
    },
    "node_940": {
      "node_id": "node_940",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_939",
      "improvement_over_parent": null
    },
    "node_941": {
      "node_id": "node_941",
      "content": "INITIAL DESIGN (Trace 139)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 221.70 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.69607472776323,
      "fos_buckling": 0.6729938592841963,
      "fos_yielding": 2.4694445338305835,
      "deflection": 0.005152307297826951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_942": {
      "node_id": "node_942",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 228.25 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.25486291591284,
      "fos_buckling": 0.6726186241061476,
      "fos_yielding": 2.468062419889925,
      "deflection": 0.005213516437470274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_941",
      "improvement_over_parent": null
    },
    "node_943": {
      "node_id": "node_943",
      "content": "MODIFICATION: Increase 13 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 236.28 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.27913723785485,
      "fos_buckling": 0.6724657184675131,
      "fos_yielding": 2.467499220076408,
      "deflection": 0.0050930909486456835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.368)"
      },
      "parent_node_id": "node_942",
      "improvement_over_parent": null
    },
    "node_944": {
      "node_id": "node_944",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.534263319747,
      "fos_buckling": 1.540955421640988,
      "fos_yielding": 2.6493762133507306,
      "deflection": 0.003959838570520386,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_943",
      "improvement_over_parent": null
    },
    "node_945": {
      "node_id": "node_945",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_944",
      "improvement_over_parent": null
    },
    "node_946": {
      "node_id": "node_946",
      "content": "INITIAL DESIGN (Trace 140)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.69 kg\n  Factor of Safety: 0.58\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.68619554333938,
      "fos_buckling": 0.5831128630840839,
      "fos_yielding": 2.265892617879734,
      "deflection": 0.005647181320455678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_947": {
      "node_id": "node_947",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 237.66 kg\n  Factor of Safety: 0.58\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.66261715189214,
      "fos_buckling": 0.5831128630840839,
      "fos_yielding": 2.265892617879734,
      "deflection": 0.005647181320455678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.418)"
      },
      "parent_node_id": "node_946",
      "improvement_over_parent": null
    },
    "node_948": {
      "node_id": "node_948",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 244.31 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.30521738071147,
      "fos_buckling": 0.9262857164332182,
      "fos_yielding": 2.7187711852967307,
      "deflection": 0.004460830322059484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_947",
      "improvement_over_parent": null
    },
    "node_949": {
      "node_id": "node_949",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 246.25 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.24897443751954,
      "fos_buckling": 0.9261833993622922,
      "fos_yielding": 2.7184688990445705,
      "deflection": 0.004491947588314907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.362)"
      },
      "parent_node_id": "node_948",
      "improvement_over_parent": null
    },
    "node_950": {
      "node_id": "node_950",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 252.81 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.80776262566914,
      "fos_buckling": 0.9256658756332347,
      "fos_yielding": 2.629828369273621,
      "deflection": 0.004580450573127395,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_949",
      "improvement_over_parent": null
    },
    "node_951": {
      "node_id": "node_951",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5245818750307,
      "fos_buckling": 1.5408115983434154,
      "fos_yielding": 2.649361296199509,
      "deflection": 0.00395990598752156,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_950",
      "improvement_over_parent": null
    },
    "node_952": {
      "node_id": "node_952",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_951",
      "improvement_over_parent": null
    },
    "node_953": {
      "node_id": "node_953",
      "content": "INITIAL DESIGN (Trace 141)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 214.18 kg\n  Factor of Safety: 0.49\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.17880169316786,
      "fos_buckling": 0.4944342890599459,
      "fos_yielding": 1.7547637315211062,
      "deflection": 0.0066005630625480885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_954": {
      "node_id": "node_954",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 227.93 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.92827015935526,
      "fos_buckling": 0.6702902483664628,
      "fos_yielding": 1.7526906620351768,
      "deflection": 0.005424025758851213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_953",
      "improvement_over_parent": null
    },
    "node_955": {
      "node_id": "node_955",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 229.90 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.90477467367575,
      "fos_buckling": 0.6702073284264802,
      "fos_yielding": 2.272916921150188,
      "deflection": 0.005194215469937596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.326)"
      },
      "parent_node_id": "node_954",
      "improvement_over_parent": null
    },
    "node_956": {
      "node_id": "node_956",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 231.56 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.56000475585776,
      "fos_buckling": 0.6702073284264802,
      "fos_yielding": 2.272916921150189,
      "deflection": 0.005186021767442982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.199)"
      },
      "parent_node_id": "node_955",
      "improvement_over_parent": null
    },
    "node_957": {
      "node_id": "node_957",
      "content": "MODIFICATION: Increase 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 235.60 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.60321461045126,
      "fos_buckling": 0.6738213184928037,
      "fos_yielding": 2.2726537890323137,
      "deflection": 0.005149840271202211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.295)"
      },
      "parent_node_id": "node_956",
      "improvement_over_parent": null
    },
    "node_958": {
      "node_id": "node_958",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 256.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.5593986172669,
      "fos_buckling": 1.5407339160193734,
      "fos_yielding": 2.6499500418557336,
      "deflection": 0.003980723803596123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_957",
      "improvement_over_parent": null
    },
    "node_959": {
      "node_id": "node_959",
      "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53121968948795,
      "fos_buckling": 1.5408308281340803,
      "fos_yielding": 2.6493768900155747,
      "deflection": 0.0039600663989923105,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.232)"
      },
      "parent_node_id": "node_958",
      "improvement_over_parent": null
    },
    "node_960": {
      "node_id": "node_960",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_959",
      "improvement_over_parent": null
    },
    "node_961": {
      "node_id": "node_961",
      "content": "INITIAL DESIGN (Trace 142)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n  Mass: 161.86 kg\n  Factor of Safety: 0.06\n  Max Deflection: 6.20e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.85552250819865,
      "fos_buckling": 0.0646322126722316,
      "fos_yielding": 0.1744324940838289,
      "deflection": 62015100345864.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_962": {
      "node_id": "node_962",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 177.72 kg\n  Factor of Safety: 0.09\n  Max Deflection: 3.83e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.72148630097925,
      "fos_buckling": 0.09452739789985154,
      "fos_yielding": 0.20993673265227528,
      "deflection": 38339632112040.234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003733)"
      },
      "parent_node_id": "node_961",
      "improvement_over_parent": null
    },
    "node_963": {
      "node_id": "node_963",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 179.00 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.19e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.99793529163796,
      "fos_buckling": 0.25207306106627075,
      "fos_yielding": 0.8397469306091011,
      "deflection": 11908387814518.111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.233)"
      },
      "parent_node_id": "node_962",
      "improvement_over_parent": null
    },
    "node_964": {
      "node_id": "node_964",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 193.95 kg\n  Factor of Safety: 0.58\n  Max Deflection: 6.37e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.9514144571531,
      "fos_buckling": 0.5782679276120856,
      "fos_yielding": 1.6175273458797221,
      "deflection": 0.006372486043069984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003624)"
      },
      "parent_node_id": "node_963",
      "improvement_over_parent": null
    },
    "node_965": {
      "node_id": "node_965",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 211.62 kg\n  Factor of Safety: 1.29\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.6169712281543,
      "fos_buckling": 1.2901254599596839,
      "fos_yielding": 1.5998722410311224,
      "deflection": 0.005019618636413681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003939)"
      },
      "parent_node_id": "node_964",
      "improvement_over_parent": null
    },
    "node_966": {
      "node_id": "node_966",
      "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 214.06 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.063939438601,
      "fos_buckling": 1.32205619642218,
      "fos_yielding": 2.2064581724488384,
      "deflection": 0.004751989210212944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.429)"
      },
      "parent_node_id": "node_965",
      "improvement_over_parent": null
    },
    "node_967": {
      "node_id": "node_967",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3398412338232,
      "fos_buckling": 1.5399102520476748,
      "fos_yielding": 2.647289679267589,
      "deflection": 0.003962738246301051,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_966",
      "improvement_over_parent": null
    },
    "node_968": {
      "node_id": "node_968",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_967",
      "improvement_over_parent": null
    },
    "node_969": {
      "node_id": "node_969",
      "content": "INITIAL DESIGN (Trace 143)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 174.32 kg\n  Factor of Safety: 0.54\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.31793822854175,
      "fos_buckling": 0.5385007434968742,
      "fos_yielding": 1.8075324775422694,
      "deflection": 0.005620622432150697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_970": {
      "node_id": "node_970",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n\nPerformance:\n  Mass: 179.86 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.85873075895668,
      "fos_buckling": 0.9888997426959805,
      "fos_yielding": 1.8156709970011808,
      "deflection": 0.005825559064584844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002231)"
      },
      "parent_node_id": "node_969",
      "improvement_over_parent": null
    },
    "node_971": {
      "node_id": "node_971",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 204.48 kg\n  Factor of Safety: 1.11\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.47582845077426,
      "fos_buckling": 1.109610346853817,
      "fos_yielding": 2.064238176139435,
      "deflection": 0.005129814305803347,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_970",
      "improvement_over_parent": null
    },
    "node_972": {
      "node_id": "node_972",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 254.26 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.26121124888886,
      "fos_buckling": 1.3429786134983284,
      "fos_yielding": 2.567411945400583,
      "deflection": 0.00413433381525045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_971",
      "improvement_over_parent": null
    },
    "node_973": {
      "node_id": "node_973",
      "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.59 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.5861744391163,
      "fos_buckling": 1.3578185637454914,
      "fos_yielding": 2.6099022771406375,
      "deflection": 0.004051064945766211,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.188)"
      },
      "parent_node_id": "node_972",
      "improvement_over_parent": null
    },
    "node_974": {
      "node_id": "node_974",
      "content": "MODIFICATION: Increase 6 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.23 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2322539048479,
      "fos_buckling": 1.5393705768793082,
      "fos_yielding": 2.64632372771471,
      "deflection": 0.003964326816007203,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.259)"
      },
      "parent_node_id": "node_973",
      "improvement_over_parent": null
    },
    "node_975": {
      "node_id": "node_975",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_974",
      "improvement_over_parent": null
    },
    "node_976": {
      "node_id": "node_976",
      "content": "INITIAL DESIGN (Trace 144)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 186.66 kg\n  Factor of Safety: 0.83\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.6618341514064,
      "fos_buckling": 0.8312231151765969,
      "fos_yielding": 1.8888928445969235,
      "deflection": 0.005428274451288406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_977": {
      "node_id": "node_977",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 188.09 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.08732947728865,
      "fos_buckling": 0.9733257948564398,
      "fos_yielding": 2.0895837332419473,
      "deflection": 0.005315924900072294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.248)"
      },
      "parent_node_id": "node_976",
      "improvement_over_parent": null
    },
    "node_978": {
      "node_id": "node_978",
      "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 189.34 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.33e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.34269786402342,
      "fos_buckling": 0.9709611210655221,
      "fos_yielding": 2.0965054852351823,
      "deflection": 0.005333091710180951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.271)"
      },
      "parent_node_id": "node_977",
      "improvement_over_parent": null
    },
    "node_979": {
      "node_id": "node_979",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 214.41 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.40894853209147,
      "fos_buckling": 1.088689853009897,
      "fos_yielding": 2.369983894524319,
      "deflection": 0.004715990531468193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_978",
      "improvement_over_parent": null
    },
    "node_980": {
      "node_id": "node_980",
      "content": "MODIFICATION: Increase 20 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 219.23 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.23019190267968,
      "fos_buckling": 1.1091629464917587,
      "fos_yielding": 2.3682993528838097,
      "deflection": 0.004632116080013596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.366)"
      },
      "parent_node_id": "node_979",
      "improvement_over_parent": null
    },
    "node_981": {
      "node_id": "node_981",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.08 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.0766898170296,
      "fos_buckling": 1.2229501910438016,
      "fos_yielding": 2.6327767641334674,
      "deflection": 0.004166020050832123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_980",
      "improvement_over_parent": null
    },
    "node_982": {
      "node_id": "node_982",
      "content": "MODIFICATION: Increase 18 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.45 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.45322534717096,
      "fos_buckling": 1.3312792079388547,
      "fos_yielding": 2.641657827494557,
      "deflection": 0.0040448617449452525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.595)"
      },
      "parent_node_id": "node_981",
      "improvement_over_parent": null
    },
    "node_983": {
      "node_id": "node_983",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.75 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7481810992477,
      "fos_buckling": 1.5423795527809543,
      "fos_yielding": 2.6514519259501688,
      "deflection": 0.003956783048320737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.269)"
      },
      "parent_node_id": "node_982",
      "improvement_over_parent": null
    },
    "node_984": {
      "node_id": "node_984",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_983",
      "improvement_over_parent": null
    },
    "node_985": {
      "node_id": "node_985",
      "content": "INITIAL DESIGN (Trace 145)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 139.44 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.44420855921294,
      "fos_buckling": 0.6755526819604419,
      "fos_yielding": 1.474927176236265,
      "deflection": 0.008250615729410868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_986": {
      "node_id": "node_986",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n\nPerformance:\n  Mass: 144.18 kg\n  Factor of Safety: 0.76\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.18407911321472,
      "fos_buckling": 0.7568164539785355,
      "fos_yielding": 1.4742618247532142,
      "deflection": 0.007366878777743788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001891)"
      },
      "parent_node_id": "node_985",
      "improvement_over_parent": null
    },
    "node_987": {
      "node_id": "node_987",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 160.36 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.3623024140658,
      "fos_buckling": 0.8315339951533595,
      "fos_yielding": 1.6385235937248401,
      "deflection": 0.006629996406891984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_986",
      "improvement_over_parent": null
    },
    "node_988": {
      "node_id": "node_988",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 193.90 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.9046789144375,
      "fos_buckling": 0.9799439002484982,
      "fos_yielding": 1.9783499072875905,
      "deflection": 0.005493965389149721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_987",
      "improvement_over_parent": null
    },
    "node_989": {
      "node_id": "node_989",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 209.44 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.44309660803293,
      "fos_buckling": 1.2978405118286378,
      "fos_yielding": 2.159221994235985,
      "deflection": 0.004855792541254357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003650)"
      },
      "parent_node_id": "node_988",
      "improvement_over_parent": null
    },
    "node_990": {
      "node_id": "node_990",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5112482315316,
      "fos_buckling": 1.5407684010225418,
      "fos_yielding": 2.6489570370463107,
      "deflection": 0.003960345278100849,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_989",
      "improvement_over_parent": null
    },
    "node_991": {
      "node_id": "node_991",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_990",
      "improvement_over_parent": null
    },
    "node_992": {
      "node_id": "node_992",
      "content": "INITIAL DESIGN (Trace 146)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 186.46 kg\n  Factor of Safety: 0.61\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.4561948631132,
      "fos_buckling": 0.6091481854872408,
      "fos_yielding": 2.1514551973607214,
      "deflection": 0.006549630364070164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_993": {
      "node_id": "node_993",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 210.79 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.78945127124103,
      "fos_buckling": 0.6727613913462952,
      "fos_yielding": 2.428735506523876,
      "deflection": 0.005802229988859563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_992",
      "improvement_over_parent": null
    },
    "node_994": {
      "node_id": "node_994",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 229.88 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.8791950460485,
      "fos_buckling": 0.6723974837701368,
      "fos_yielding": 2.4670909074768317,
      "deflection": 0.005184625285764958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_993",
      "improvement_over_parent": null
    },
    "node_995": {
      "node_id": "node_995",
      "content": "MODIFICATION: Increase 13 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 236.20 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.20224546142606,
      "fos_buckling": 0.6722770343099436,
      "fos_yielding": 2.466647283396224,
      "deflection": 0.005094837444265975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.271)"
      },
      "parent_node_id": "node_994",
      "improvement_over_parent": null
    },
    "node_996": {
      "node_id": "node_996",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.45737154331823,
      "fos_buckling": 1.5404782074792551,
      "fos_yielding": 2.648434434859902,
      "deflection": 0.00396111386763268,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_995",
      "improvement_over_parent": null
    },
    "node_997": {
      "node_id": "node_997",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_996",
      "improvement_over_parent": null
    },
    "node_998": {
      "node_id": "node_998",
      "content": "INITIAL DESIGN (Trace 147)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 204.02 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.01934911487135,
      "fos_buckling": 0.27019575103507026,
      "fos_yielding": 1.455417517040854,
      "deflection": 0.00843057404287483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_999": {
      "node_id": "node_999",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 205.24 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.39e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.2417444674111,
      "fos_buckling": 0.2705710067139662,
      "fos_yielding": 1.455333118474117,
      "deflection": 0.008388300325591116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.181)"
      },
      "parent_node_id": "node_998",
      "improvement_over_parent": null
    },
    "node_1000": {
      "node_id": "node_1000",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 237.19 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.19168684114862,
      "fos_buckling": 0.9267749791518868,
      "fos_yielding": 2.378544170611357,
      "deflection": 0.004639533303780871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_999",
      "improvement_over_parent": null
    },
    "node_1001": {
      "node_id": "node_1001",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 239.55 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.54980376138838,
      "fos_buckling": 0.9267128466303914,
      "fos_yielding": 2.6306943772082403,
      "deflection": 0.004576930186402002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.431)"
      },
      "parent_node_id": "node_1000",
      "improvement_over_parent": null
    },
    "node_1002": {
      "node_id": "node_1002",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5391683280483,
      "fos_buckling": 1.5407570051589317,
      "fos_yielding": 2.649368874141806,
      "deflection": 0.003959603855509624,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1001",
      "improvement_over_parent": null
    },
    "node_1003": {
      "node_id": "node_1003",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1002",
      "improvement_over_parent": null
    },
    "node_1004": {
      "node_id": "node_1004",
      "content": "INITIAL DESIGN (Trace 148)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 181.24 kg\n  Factor of Safety: 0.46\n  Max Deflection: 7.04e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.23732763748563,
      "fos_buckling": 0.4550285217942536,
      "fos_yielding": 1.800665071912826,
      "deflection": 0.00703892963023022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1005": {
      "node_id": "node_1005",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n  Mass: 197.78 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.78312955634536,
      "fos_buckling": 0.7619428189475962,
      "fos_yielding": 2.0675852225846767,
      "deflection": 0.005860084570159122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003701)"
      },
      "parent_node_id": "node_1004",
      "improvement_over_parent": null
    },
    "node_1006": {
      "node_id": "node_1006",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n\nPerformance:\n  Mass: 200.62 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.62369701829124,
      "fos_buckling": 1.0769972519596385,
      "fos_yielding": 2.0856856123823264,
      "deflection": 0.005076081036053034,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001724)"
      },
      "parent_node_id": "node_1005",
      "improvement_over_parent": null
    },
    "node_1007": {
      "node_id": "node_1007",
      "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0040)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n\nPerformance:\n  Mass: 203.36 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.3566875058632,
      "fos_buckling": 1.0775143261226614,
      "fos_yielding": 2.082416742111266,
      "deflection": 0.005045616588949453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.333)"
      },
      "parent_node_id": "node_1006",
      "improvement_over_parent": null
    },
    "node_1008": {
      "node_id": "node_1008",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0052)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.39830618312374,
      "fos_buckling": 1.3281457517611635,
      "fos_yielding": 2.6303892715586845,
      "deflection": 0.0039968902199372935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1007",
      "improvement_over_parent": null
    },
    "node_1009": {
      "node_id": "node_1009",
      "content": "MODIFICATION: Increase 10 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0052)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0040)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n  Mass: 259.30 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.2964494027319,
      "fos_buckling": 1.3570715574742451,
      "fos_yielding": 2.6322139441299988,
      "deflection": 0.003986906986040012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.325)"
      },
      "parent_node_id": "node_1008",
      "improvement_over_parent": null
    },
    "node_1010": {
      "node_id": "node_1010",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1009",
      "improvement_over_parent": null
    },
    "node_1011": {
      "node_id": "node_1011",
      "content": "INITIAL DESIGN (Trace 149)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.11 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.20e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.11184023371837,
      "fos_buckling": 0.9178107561835017,
      "fos_yielding": 2.3948177494545684,
      "deflection": 0.0041984688699307285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1012": {
      "node_id": "node_1012",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 238.08 kg\n  Factor of Safety: 1.13\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.08359363241402,
      "fos_buckling": 1.1303565931654267,
      "fos_yielding": 2.71971391051356,
      "deflection": 0.003931778891532567,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1011",
      "improvement_over_parent": null
    },
    "node_1013": {
      "node_id": "node_1013",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 244.64 kg\n  Factor of Safety: 0.63\n  Max Deflection: 3.87e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.64238182056363,
      "fos_buckling": 0.6287005553420455,
      "fos_yielding": 2.5389131876687485,
      "deflection": 0.003866047026451768,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1012",
      "improvement_over_parent": null
    },
    "node_1014": {
      "node_id": "node_1014",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 252.48 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.4811448385431,
      "fos_buckling": 1.3729084179396245,
      "fos_yielding": 2.641818355361869,
      "deflection": 0.004028015395561262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1013",
      "improvement_over_parent": null
    },
    "node_1015": {
      "node_id": "node_1015",
      "content": "MODIFICATION: Increase 13 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0047)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.00 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.0029743454824,
      "fos_buckling": 1.3507926401836494,
      "fos_yielding": 2.6300038741187395,
      "deflection": 0.0039992377390782735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.206)"
      },
      "parent_node_id": "node_1014",
      "improvement_over_parent": null
    },
    "node_1016": {
      "node_id": "node_1016",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1015",
      "improvement_over_parent": null
    },
    "node_1017": {
      "node_id": "node_1017",
      "content": "INITIAL DESIGN (Trace 150)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 180.37 kg\n  Factor of Safety: 0.72\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.36823362558988,
      "fos_buckling": 0.7187079226028307,
      "fos_yielding": 1.8037586108441404,
      "deflection": 0.005848080709414664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1018": {
      "node_id": "node_1018",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 202.25 kg\n  Factor of Safety: 0.79\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.2517180257501,
      "fos_buckling": 0.7927408254471942,
      "fos_yielding": 2.020379830006724,
      "deflection": 0.005221664464592304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1017",
      "improvement_over_parent": null
    },
    "node_1019": {
      "node_id": "node_1019",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.45 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.44908978273386,
      "fos_buckling": 0.9120849211158808,
      "fos_yielding": 2.387500355576273,
      "deflection": 0.004419606686492705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_1018",
      "improvement_over_parent": null
    },
    "node_1020": {
      "node_id": "node_1020",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.49162598548156,
      "fos_buckling": 1.5406216353553448,
      "fos_yielding": 2.648930453041121,
      "deflection": 0.003960518600953257,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1019",
      "improvement_over_parent": null
    },
    "node_1021": {
      "node_id": "node_1021",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1020",
      "improvement_over_parent": null
    },
    "node_1022": {
      "node_id": "node_1022",
      "content": "INITIAL DESIGN (Trace 151)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 129.61 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.66e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.61321140463667,
      "fos_buckling": 0.033166692301243784,
      "fos_yielding": 0.4108154550994975,
      "deflection": 0.02663847850680004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1023": {
      "node_id": "node_1023",
      "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 131.37 kg\n  Factor of Safety: 0.03\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": 131.37072219974496,
      "fos_buckling": 0.03316391667954248,
      "fos_yielding": 0.41078107517755513,
      "deflection": 0.026489912041786277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.468)"
      },
      "parent_node_id": "node_1022",
      "improvement_over_parent": null
    },
    "node_1024": {
      "node_id": "node_1024",
      "content": "MODIFICATION: Increase 11 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 133.50 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.65e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.50188164265018,
      "fos_buckling": 0.033163916679542486,
      "fos_yielding": 0.4107810751775552,
      "deflection": 0.02646017544298246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.481)"
      },
      "parent_node_id": "node_1023",
      "improvement_over_parent": null
    },
    "node_1025": {
      "node_id": "node_1025",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 153.66 kg\n  Factor of Safety: 0.03\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": 153.65974388032996,
      "fos_buckling": 0.03313211473024499,
      "fos_yielding": 0.4103871639561696,
      "deflection": 0.02527105052861775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003599)"
      },
      "parent_node_id": "node_1024",
      "improvement_over_parent": null
    },
    "node_1026": {
      "node_id": "node_1026",
      "content": "MODIFICATION: Increase 18 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 157.97 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.51e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.9658371697456,
      "fos_buckling": 0.03312985256078267,
      "fos_yielding": 0.4103591438518815,
      "deflection": 0.025129633667672575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.346)"
      },
      "parent_node_id": "node_1025",
      "improvement_over_parent": null
    },
    "node_1027": {
      "node_id": "node_1027",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n  Mass: 164.00 kg\n  Factor of Safety: 1.04\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.0005791291917,
      "fos_buckling": 1.0356207277159457,
      "fos_yielding": 1.677136774752673,
      "deflection": 0.006211029866020281,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002579)"
      },
      "parent_node_id": "node_1026",
      "improvement_over_parent": null
    },
    "node_1028": {
      "node_id": "node_1028",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0049)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 202.19 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.18733281159055,
      "fos_buckling": 1.245691588507317,
      "fos_yielding": 2.0648183793814803,
      "deflection": 0.005047849171575466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1027",
      "improvement_over_parent": null
    },
    "node_1029": {
      "node_id": "node_1029",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 259.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.51155681682127,
      "fos_buckling": 1.5390288491402497,
      "fos_yielding": 2.6449138334336397,
      "deflection": 0.003944301127866747,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_1028",
      "improvement_over_parent": null
    },
    "node_1030": {
      "node_id": "node_1030",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1029",
      "improvement_over_parent": null
    },
    "node_1031": {
      "node_id": "node_1031",
      "content": "INITIAL DESIGN (Trace 152)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 231.81 kg\n  Factor of Safety: 0.68\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.80908785636177,
      "fos_buckling": 0.6849963497428617,
      "fos_yielding": 2.504315671308989,
      "deflection": 0.004951408060099584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1032": {
      "node_id": "node_1032",
      "content": "MODIFICATION: Increase 19 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.16 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.16432716002177,
      "fos_buckling": 0.926759072104016,
      "fos_yielding": 2.5036115500174536,
      "deflection": 0.004659395191100619,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.468)"
      },
      "parent_node_id": "node_1031",
      "improvement_over_parent": null
    },
    "node_1033": {
      "node_id": "node_1033",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.54 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.54016284845395,
      "fos_buckling": 0.926577820022894,
      "fos_yielding": 2.630684493095641,
      "deflection": 0.0045771747593217095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.208)"
      },
      "parent_node_id": "node_1032",
      "improvement_over_parent": null
    },
    "node_1034": {
      "node_id": "node_1034",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5295274151138,
      "fos_buckling": 1.540828178864955,
      "fos_yielding": 2.6493597816019454,
      "deflection": 0.003959763841408001,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1033",
      "improvement_over_parent": null
    },
    "node_1035": {
      "node_id": "node_1035",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1034",
      "improvement_over_parent": null
    },
    "node_1036": {
      "node_id": "node_1036",
      "content": "INITIAL DESIGN (Trace 153)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 204.44 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.4419608878376,
      "fos_buckling": 0.8184579502075934,
      "fos_yielding": 2.2723973190077422,
      "deflection": 0.005305515830891218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1037": {
      "node_id": "node_1037",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 219.90 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.89502719969883,
      "fos_buckling": 1.3575803502698165,
      "fos_yielding": 2.2865870009387375,
      "deflection": 0.004590251659719881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003755)"
      },
      "parent_node_id": "node_1036",
      "improvement_over_parent": null
    },
    "node_1038": {
      "node_id": "node_1038",
      "content": "MODIFICATION: Increase 16 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 221.19 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.19114283157327,
      "fos_buckling": 1.359065891485284,
      "fos_yielding": 2.2793237036523863,
      "deflection": 0.004600773057722267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.323)"
      },
      "parent_node_id": "node_1037",
      "improvement_over_parent": null
    },
    "node_1039": {
      "node_id": "node_1039",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.635427595887,
      "fos_buckling": 1.541339412447864,
      "fos_yielding": 2.6504595661317554,
      "deflection": 0.003958267806704322,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1038",
      "improvement_over_parent": null
    },
    "node_1040": {
      "node_id": "node_1040",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1039",
      "improvement_over_parent": null
    },
    "node_1041": {
      "node_id": "node_1041",
      "content": "INITIAL DESIGN (Trace 154)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 162.85 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.85157654389553,
      "fos_buckling": 0.8490802923371008,
      "fos_yielding": 1.6444449477690448,
      "deflection": 0.006669593633547604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1042": {
      "node_id": "node_1042",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 186.54 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.5361261111982,
      "fos_buckling": 0.9548930904849167,
      "fos_yielding": 1.8847131670593318,
      "deflection": 0.005829551061980961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_1041",
      "improvement_over_parent": null
    },
    "node_1043": {
      "node_id": "node_1043",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n  Mass: 201.60 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.59895527508965,
      "fos_buckling": 1.2345237294221272,
      "fos_yielding": 1.9010471624792842,
      "deflection": 0.005169199142460436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003530)"
      },
      "parent_node_id": "node_1042",
      "improvement_over_parent": null
    },
    "node_1044": {
      "node_id": "node_1044",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 255.62 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.09e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.62467182765943,
      "fos_buckling": 1.5087092994331943,
      "fos_yielding": 2.41385283997633,
      "deflection": 0.004086985629607939,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1043",
      "improvement_over_parent": null
    },
    "node_1045": {
      "node_id": "node_1045",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5570616325732,
      "fos_buckling": 1.5409486852954575,
      "fos_yielding": 2.6495214850022335,
      "deflection": 0.003959405451703471,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.297)"
      },
      "parent_node_id": "node_1044",
      "improvement_over_parent": null
    },
    "node_1046": {
      "node_id": "node_1046",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1045",
      "improvement_over_parent": null
    },
    "node_1047": {
      "node_id": "node_1047",
      "content": "INITIAL DESIGN (Trace 155)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 158.65 kg\n  Factor of Safety: 0.33\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": 158.64898020662457,
      "fos_buckling": 0.3317002476396534,
      "fos_yielding": 1.0237935860515188,
      "deflection": 0.016494057612782297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1048": {
      "node_id": "node_1048",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n  Mass: 163.21 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.2130689654386,
      "fos_buckling": 0.8508765302672764,
      "fos_yielding": 1.6817408566026295,
      "deflection": 0.00661895900631975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002034)"
      },
      "parent_node_id": "node_1047",
      "improvement_over_parent": null
    },
    "node_1049": {
      "node_id": "node_1049",
      "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n  Mass: 164.19 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.19146186587585,
      "fos_buckling": 0.8508633362411783,
      "fos_yielding": 1.681714778867537,
      "deflection": 0.006596108441499329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.326)"
      },
      "parent_node_id": "node_1048",
      "improvement_over_parent": null
    },
    "node_1050": {
      "node_id": "node_1050",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n\nPerformance:\n  Mass: 208.46 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.46359526619975,
      "fos_buckling": 1.0439635781833543,
      "fos_yielding": 2.1311386528439202,
      "deflection": 0.005206658391139916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.292)"
      },
      "parent_node_id": "node_1049",
      "improvement_over_parent": null
    },
    "node_1051": {
      "node_id": "node_1051",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 225.20 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.19610699028155,
      "fos_buckling": 1.1685222405890003,
      "fos_yielding": 2.1948377438416076,
      "deflection": 0.004617271963063274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003954)"
      },
      "parent_node_id": "node_1050",
      "improvement_over_parent": null
    },
    "node_1052": {
      "node_id": "node_1052",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 256.96 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.9600018465305,
      "fos_buckling": 1.3122575845368878,
      "fos_yielding": 2.506445240534602,
      "deflection": 0.004052575925161071,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_1051",
      "improvement_over_parent": null
    },
    "node_1053": {
      "node_id": "node_1053",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1052",
      "improvement_over_parent": null
    },
    "node_1054": {
      "node_id": "node_1054",
      "content": "INITIAL DESIGN (Trace 156)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 189.62 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.45e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.62313278703925,
      "fos_buckling": 1.0176588262547976,
      "fos_yielding": 1.7702461319211107,
      "deflection": 0.005450881723591682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1055": {
      "node_id": "node_1055",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 220.46 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.70e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.45896654291394,
      "fos_buckling": 1.167241950834405,
      "fos_yielding": 2.060061722828351,
      "deflection": 0.004695484138867425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1054",
      "improvement_over_parent": null
    },
    "node_1056": {
      "node_id": "node_1056",
      "content": "MODIFICATION: Increase 11 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 222.36 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.35601978166667,
      "fos_buckling": 1.1680578785982136,
      "fos_yielding": 2.0459528388486374,
      "deflection": 0.0046877860245055055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.504)"
      },
      "parent_node_id": "node_1055",
      "improvement_over_parent": null
    },
    "node_1057": {
      "node_id": "node_1057",
      "content": "MODIFICATION: Increase 20 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 226.10 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.10015739494332,
      "fos_buckling": 1.1672845341634894,
      "fos_yielding": 2.0556210513696653,
      "deflection": 0.004628278160386587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.264)"
      },
      "parent_node_id": "node_1056",
      "improvement_over_parent": null
    },
    "node_1058": {
      "node_id": "node_1058",
      "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 229.80 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.80329046670306,
      "fos_buckling": 1.3611447249513755,
      "fos_yielding": 2.057395865806978,
      "deflection": 0.004573054706271379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.608)"
      },
      "parent_node_id": "node_1057",
      "improvement_over_parent": null
    },
    "node_1059": {
      "node_id": "node_1059",
      "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 231.92 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.91656897030833,
      "fos_buckling": 1.4139459526862175,
      "fos_yielding": 2.3886849145566145,
      "deflection": 0.004390960787181449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.379)"
      },
      "parent_node_id": "node_1058",
      "improvement_over_parent": null
    },
    "node_1060": {
      "node_id": "node_1060",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.453080982773,
      "fos_buckling": 1.5404833542555978,
      "fos_yielding": 2.648615608258541,
      "deflection": 0.0039612470816289104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_1059",
      "improvement_over_parent": null
    },
    "node_1061": {
      "node_id": "node_1061",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1060",
      "improvement_over_parent": null
    },
    "node_1062": {
      "node_id": "node_1062",
      "content": "INITIAL DESIGN (Trace 157)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n\nPerformance:\n  Mass: 173.09 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.90e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.0942002477718,
      "fos_buckling": 0.026290728645324078,
      "fos_yielding": 0.2727172940128788,
      "deflection": 28954561063970.188,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1063": {
      "node_id": "node_1063",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 192.03 kg\n  Factor of Safety: 0.06\n  Max Deflection: 2.81e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.0343978127236,
      "fos_buckling": 0.06381123406178034,
      "fos_yielding": 0.2519240791827304,
      "deflection": 28084542187186.367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004283)"
      },
      "parent_node_id": "node_1062",
      "improvement_over_parent": null
    },
    "node_1064": {
      "node_id": "node_1064",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 212.48 kg\n  Factor of Safety: 1.36\n  Max Deflection: 2.53e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.47904900988135,
      "fos_buckling": 1.356604758142663,
      "fos_yielding": 2.5192407918273036,
      "deflection": 2534148516716.012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_1063",
      "improvement_over_parent": null
    },
    "node_1065": {
      "node_id": "node_1065",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 217.20 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.19586825924293,
      "fos_buckling": 0.6728473265426299,
      "fos_yielding": 2.428932344516737,
      "deflection": 0.00559805659231257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1064",
      "improvement_over_parent": null
    },
    "node_1066": {
      "node_id": "node_1066",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 236.29 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.2856120340504,
      "fos_buckling": 0.6724834407292256,
      "fos_yielding": 2.4672208731643717,
      "deflection": 0.005092990539004675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1065",
      "improvement_over_parent": null
    },
    "node_1067": {
      "node_id": "node_1067",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.54073811594253,
      "fos_buckling": 1.5408737656404958,
      "fos_yielding": 2.649453649320407,
      "deflection": 0.0039597525529152765,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1066",
      "improvement_over_parent": null
    },
    "node_1068": {
      "node_id": "node_1068",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1067",
      "improvement_over_parent": null
    },
    "node_1069": {
      "node_id": "node_1069",
      "content": "INITIAL DESIGN (Trace 158)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 177.14 kg\n  Factor of Safety: 0.03\n  Max Deflection: 9.83e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.14157525644833,
      "fos_buckling": 0.030740906377190878,
      "fos_yielding": 0.07460997077172617,
      "deflection": 98302793414031.1,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1070": {
      "node_id": "node_1070",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n  Mass: 184.31 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.30621791266717,
      "fos_buckling": 0.9491648498340324,
      "fos_yielding": 1.9987221362058554,
      "deflection": 0.005249078159523857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003095)"
      },
      "parent_node_id": "node_1069",
      "improvement_over_parent": null
    },
    "node_1071": {
      "node_id": "node_1071",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 206.71 kg\n  Factor of Safety: 1.06\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.7077146830435,
      "fos_buckling": 1.057534412292769,
      "fos_yielding": 2.2415669774163014,
      "deflection": 0.0046869011430477935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1070",
      "improvement_over_parent": null
    },
    "node_1072": {
      "node_id": "node_1072",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 246.11 kg\n  Factor of Safety: 1.24\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.10803040290236,
      "fos_buckling": 1.2442222633821969,
      "fos_yielding": 2.6689909171252957,
      "deflection": 0.003946420349732391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1071",
      "improvement_over_parent": null
    },
    "node_1073": {
      "node_id": "node_1073",
      "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 250.19 kg\n  Factor of Safety: 1.25\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.19343974377915,
      "fos_buckling": 1.245530541226235,
      "fos_yielding": 2.6240536771600484,
      "deflection": 0.0039185616313359576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.473)"
      },
      "parent_node_id": "node_1072",
      "improvement_over_parent": null
    },
    "node_1074": {
      "node_id": "node_1074",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 256.75 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.75222793192876,
      "fos_buckling": 1.3542672193773628,
      "fos_yielding": 2.6098876999238665,
      "deflection": 0.003993954490273131,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1073",
      "improvement_over_parent": null
    },
    "node_1075": {
      "node_id": "node_1075",
      "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0050)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 259.63 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.6333216707785,
      "fos_buckling": 1.353791827703734,
      "fos_yielding": 2.6089715447781923,
      "deflection": 0.003973650989334438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.285)"
      },
      "parent_node_id": "node_1074",
      "improvement_over_parent": null
    },
    "node_1076": {
      "node_id": "node_1076",
      "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0050)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0054)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 260.44 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.4412829717149,
      "fos_buckling": 1.3563420037051057,
      "fos_yielding": 2.6138861383557295,
      "deflection": 0.003959902050676372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.236)"
      },
      "parent_node_id": "node_1075",
      "improvement_over_parent": null
    },
    "node_1077": {
      "node_id": "node_1077",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1076",
      "improvement_over_parent": null
    },
    "node_1078": {
      "node_id": "node_1078",
      "content": "INITIAL DESIGN (Trace 159)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n  Mass: 156.02 kg\n  Factor of Safety: 0.10\n  Max Deflection: 2.00e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.01569255450266,
      "fos_buckling": 0.10470330089018805,
      "fos_yielding": 0.877583133377299,
      "deflection": 19988381010823.94,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1079": {
      "node_id": "node_1079",
      "content": "MODIFICATION: Increase 16 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 158.90 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.19e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.90480412907093,
      "fos_buckling": 0.17450550148364674,
      "fos_yielding": 1.259620395913652,
      "deflection": 11863547645506.926,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.236)"
      },
      "parent_node_id": "node_1078",
      "improvement_over_parent": null
    },
    "node_1080": {
      "node_id": "node_1080",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 176.83 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.50e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.83425244375374,
      "fos_buckling": 0.23682350773299252,
      "fos_yielding": 0.916087560664474,
      "deflection": 3504095747509.2744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1079",
      "improvement_over_parent": null
    },
    "node_1081": {
      "node_id": "node_1081",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 197.79 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.98e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.79043645056936,
      "fos_buckling": 0.25657026247322157,
      "fos_yielding": 1.4563594654245504,
      "deflection": 0.008982499203051865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1080",
      "improvement_over_parent": null
    },
    "node_1082": {
      "node_id": "node_1082",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 219.05 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.0455625324615,
      "fos_buckling": 0.2695260420436864,
      "fos_yielding": 1.4558700653667829,
      "deflection": 0.008132504747309782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1081",
      "improvement_over_parent": null
    },
    "node_1083": {
      "node_id": "node_1083",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 239.18 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.23e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.17691591423184,
      "fos_buckling": 1.107788270879215,
      "fos_yielding": 2.6151653093476668,
      "deflection": 0.004232983866779877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003594)"
      },
      "parent_node_id": "node_1082",
      "improvement_over_parent": null
    },
    "node_1084": {
      "node_id": "node_1084",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 245.82 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.81951614305117,
      "fos_buckling": 1.12920437658738,
      "fos_yielding": 2.628324695840064,
      "deflection": 0.004159485272479848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1083",
      "improvement_over_parent": null
    },
    "node_1085": {
      "node_id": "node_1085",
      "content": "MODIFICATION: Increase 13 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0064)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 253.36 kg\n  Factor of Safety: 0.97\n  Max Deflection: 4.09e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.36493924749897,
      "fos_buckling": 0.9748890632214404,
      "fos_yielding": 2.598939257102368,
      "deflection": 0.004087072037377065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.645)"
      },
      "parent_node_id": "node_1084",
      "improvement_over_parent": null
    },
    "node_1086": {
      "node_id": "node_1086",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 160)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 193.75 kg\n  Factor of Safety: 0.56\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.74883987982423,
      "fos_buckling": 0.5594660459676579,
      "fos_yielding": 2.032287872622185,
      "deflection": 0.0049762770807003556,
      "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 all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 240.90 kg\n  Factor of Safety: 0.68\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.90238913482472,
      "fos_buckling": 0.6761658928499089,
      "fos_yielding": 2.5311941128296094,
      "deflection": 0.004011992105131716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1087",
      "improvement_over_parent": null
    },
    "node_1089": {
      "node_id": "node_1089",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 248.74 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.74115215280418,
      "fos_buckling": 1.286643463817747,
      "fos_yielding": 2.5163159745353676,
      "deflection": 0.004155205467161103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1088",
      "improvement_over_parent": null
    },
    "node_1090": {
      "node_id": "node_1090",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 255.38 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.09e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.3837523816235,
      "fos_buckling": 1.5045167637111039,
      "fos_yielding": 2.393426744960367,
      "deflection": 0.0040949337906287615,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1089",
      "improvement_over_parent": null
    },
    "node_1091": {
      "node_id": "node_1091",
      "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.37621243851754,
      "fos_buckling": 1.5400362767936673,
      "fos_yielding": 2.6476765057356575,
      "deflection": 0.003962185700815111,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.309)"
      },
      "parent_node_id": "node_1090",
      "improvement_over_parent": null
    },
    "node_1092": {
      "node_id": "node_1092",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1091",
      "improvement_over_parent": null
    },
    "node_1093": {
      "node_id": "node_1093",
      "content": "INITIAL DESIGN (Trace 161)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 171.88 kg\n  Factor of Safety: 0.36\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": 171.87958453195523,
      "fos_buckling": 0.35783936107056297,
      "fos_yielding": 1.1325694795292454,
      "deflection": 0.014799982697375662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1094": {
      "node_id": "node_1094",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n  Mass: 180.20 kg\n  Factor of Safety: 0.36\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": 180.19897907020334,
      "fos_buckling": 0.3575830248872026,
      "fos_yielding": 1.1317601448931291,
      "deflection": 0.014724002791793365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002259)"
      },
      "parent_node_id": "node_1093",
      "improvement_over_parent": null
    },
    "node_1095": {
      "node_id": "node_1095",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n  Mass: 202.45 kg\n  Factor of Safety: 0.39\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": 202.44846627782243,
      "fos_buckling": 0.39473953383629967,
      "fos_yielding": 1.2691481286162738,
      "deflection": 0.013128208294976566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1094",
      "improvement_over_parent": null
    },
    "node_1096": {
      "node_id": "node_1096",
      "content": "MODIFICATION: Increase 19 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 206.79 kg\n  Factor of Safety: 0.39\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": 206.78652982845483,
      "fos_buckling": 0.3945923115141678,
      "fos_yielding": 1.2686760784568012,
      "deflection": 0.01312622337801192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.508)"
      },
      "parent_node_id": "node_1095",
      "improvement_over_parent": null
    },
    "node_1097": {
      "node_id": "node_1097",
      "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0028)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 208.10 kg\n  Factor of Safety: 0.39\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": 208.09815121527316,
      "fos_buckling": 0.3945478201965578,
      "fos_yielding": 1.268533422362777,
      "deflection": 0.013075056783910816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.261)"
      },
      "parent_node_id": "node_1096",
      "improvement_over_parent": null
    },
    "node_1098": {
      "node_id": "node_1098",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n\nPerformance:\n  Mass: 246.35 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.35459872342855,
      "fos_buckling": 0.45344435313362513,
      "fos_yielding": 1.497705698259957,
      "deflection": 0.011072429067716775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_1097",
      "improvement_over_parent": null
    },
    "node_1099": {
      "node_id": "node_1099",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 254.99 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.9914622510821,
      "fos_buckling": 1.2494351856661123,
      "fos_yielding": 2.636481260827068,
      "deflection": 0.0040325054845280405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1098",
      "improvement_over_parent": null
    },
    "node_1100": {
      "node_id": "node_1100",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1099",
      "improvement_over_parent": null
    },
    "node_1101": {
      "node_id": "node_1101",
      "content": "INITIAL DESIGN (Trace 162)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1102": {
      "node_id": "node_1102",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n  Mass: 181.43 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.36e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.43014177247971,
      "fos_buckling": 0.8500541794158352,
      "fos_yielding": 1.9156606047120601,
      "deflection": 0.0063606439455804985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002986)"
      },
      "parent_node_id": "node_1101",
      "improvement_over_parent": null
    },
    "node_1103": {
      "node_id": "node_1103",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 230.52 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.51825588699134,
      "fos_buckling": 1.0373153451145722,
      "fos_yielding": 2.4289707185597473,
      "deflection": 0.005024026080787738,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1102",
      "improvement_over_parent": null
    },
    "node_1104": {
      "node_id": "node_1104",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 238.36 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.3570189049708,
      "fos_buckling": 1.163158177036843,
      "fos_yielding": 2.427166037464265,
      "deflection": 0.00448107178173923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1103",
      "improvement_over_parent": null
    },
    "node_1105": {
      "node_id": "node_1105",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.44676267977826,
      "fos_buckling": 1.540449170999952,
      "fos_yielding": 2.648429104665229,
      "deflection": 0.003961299900282125,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1104",
      "improvement_over_parent": null
    },
    "node_1106": {
      "node_id": "node_1106",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1105",
      "improvement_over_parent": null
    },
    "node_1107": {
      "node_id": "node_1107",
      "content": "INITIAL DESIGN (Trace 163)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 189.34 kg\n  Factor of Safety: 0.02\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": 189.34355999624643,
      "fos_buckling": 0.02333884069461344,
      "fos_yielding": 0.07872627474460325,
      "deflection": 102640513960859.45,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1108": {
      "node_id": "node_1108",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 197.13 kg\n  Factor of Safety: 0.16\n  Max Deflection: 6.69e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.13400258620499,
      "fos_buckling": 0.16474211121047433,
      "fos_yielding": 0.8397469306091013,
      "deflection": 6685948264886.355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003593)"
      },
      "parent_node_id": "node_1107",
      "improvement_over_parent": null
    },
    "node_1109": {
      "node_id": "node_1109",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 216.04 kg\n  Factor of Safety: 0.84\n  Max Deflection: 4.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.03760272071898,
      "fos_buckling": 0.8379907707584878,
      "fos_yielding": 2.1565942414136345,
      "deflection": 0.004892179865086852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004274)"
      },
      "parent_node_id": "node_1108",
      "improvement_over_parent": null
    },
    "node_1110": {
      "node_id": "node_1110",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 239.63 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.6264848479771,
      "fos_buckling": 0.912705525235857,
      "fos_yielding": 2.389241638772194,
      "deflection": 0.004416362478710052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_1109",
      "improvement_over_parent": null
    },
    "node_1111": {
      "node_id": "node_1111",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6690210507248,
      "fos_buckling": 1.541539228663073,
      "fos_yielding": 2.650881145874249,
      "deflection": 0.003957737624116973,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1110",
      "improvement_over_parent": null
    },
    "node_1112": {
      "node_id": "node_1112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1111",
      "improvement_over_parent": null
    },
    "node_1113": {
      "node_id": "node_1113",
      "content": "INITIAL DESIGN (Trace 164)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.30 kg\n  Factor of Safety: 0.04\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": 197.2988679855477,
      "fos_buckling": 0.041262043505520166,
      "fos_yielding": 0.5272291892724406,
      "deflection": 0.022203299436745053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1114": {
      "node_id": "node_1114",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.12 kg\n  Factor of Safety: 0.05\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": 243.11594296933745,
      "fos_buckling": 0.04907627641087946,
      "fos_yielding": 0.6484027553848489,
      "deflection": 0.018062142217556542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1113",
      "improvement_over_parent": null
    },
    "node_1115": {
      "node_id": "node_1115",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 252.68 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.67908394855726,
      "fos_buckling": 1.163317888057384,
      "fos_yielding": 2.427934456815874,
      "deflection": 0.004479811080510646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_1114",
      "improvement_over_parent": null
    },
    "node_1116": {
      "node_id": "node_1116",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6823105572236,
      "fos_buckling": 1.5415886564505275,
      "fos_yielding": 2.6509681647611605,
      "deflection": 0.003957767754953465,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1115",
      "improvement_over_parent": null
    },
    "node_1117": {
      "node_id": "node_1117",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1116",
      "improvement_over_parent": null
    },
    "node_1118": {
      "node_id": "node_1118",
      "content": "INITIAL DESIGN (Trace 165)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 222.14 kg\n  Factor of Safety: 0.59\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.1385702888514,
      "fos_buckling": 0.5899493772640504,
      "fos_yielding": 2.0214718617358187,
      "deflection": 0.004394837632446899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1119": {
      "node_id": "node_1119",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.43 kg\n  Factor of Safety: 0.65\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.42578033797972,
      "fos_buckling": 0.6480724200786669,
      "fos_yielding": 2.2544382130584877,
      "deflection": 0.003950672324658736,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1118",
      "improvement_over_parent": null
    },
    "node_1120": {
      "node_id": "node_1120",
      "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.82 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.8175700452709,
      "fos_buckling": 0.729218431446144,
      "fos_yielding": 2.563120853572017,
      "deflection": 0.003813980677644627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.366)"
      },
      "parent_node_id": "node_1119",
      "improvement_over_parent": null
    },
    "node_1121": {
      "node_id": "node_1121",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6563330632504,
      "fos_buckling": 1.5414736358696763,
      "fos_yielding": 2.6506813648070797,
      "deflection": 0.0039580664139620275,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1120",
      "improvement_over_parent": null
    },
    "node_1122": {
      "node_id": "node_1122",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1121",
      "improvement_over_parent": null
    },
    "node_1123": {
      "node_id": "node_1123",
      "content": "INITIAL DESIGN (Trace 166)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n  Mass: 215.48 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.07e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.4757711502256,
      "fos_buckling": 0.6739213349237636,
      "fos_yielding": 2.169041051998349,
      "deflection": 0.005072463711236916,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1124": {
      "node_id": "node_1124",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n  Mass: 217.44 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.44340780616668,
      "fos_buckling": 0.6737331474443184,
      "fos_yielding": 2.4135006861451207,
      "deflection": 0.004919398156615573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.304)"
      },
      "parent_node_id": "node_1123",
      "improvement_over_parent": null
    },
    "node_1125": {
      "node_id": "node_1125",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 225.28 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.28217082414614,
      "fos_buckling": 0.6734334804956249,
      "fos_yielding": 2.4124236431212402,
      "deflection": 0.005311015510512874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1124",
      "improvement_over_parent": null
    },
    "node_1126": {
      "node_id": "node_1126",
      "content": "MODIFICATION: Increase 18 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n\nPerformance:\n  Mass: 227.75 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.34e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.74861551669397,
      "fos_buckling": 0.6733392462614428,
      "fos_yielding": 2.412084953357353,
      "deflection": 0.0053374898773246495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.359)"
      },
      "parent_node_id": "node_1125",
      "improvement_over_parent": null
    },
    "node_1127": {
      "node_id": "node_1127",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.00 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.00374159858612,
      "fos_buckling": 1.4068532793955655,
      "fos_yielding": 2.7180626381022384,
      "deflection": 0.00395670616197098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1126",
      "improvement_over_parent": null
    },
    "node_1128": {
      "node_id": "node_1128",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 255.56 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.02e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.56252978673572,
      "fos_buckling": 1.507451813936054,
      "fos_yielding": 2.6562634270649212,
      "deflection": 0.004017231283145951,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1127",
      "improvement_over_parent": null
    },
    "node_1129": {
      "node_id": "node_1129",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1128",
      "improvement_over_parent": null
    },
    "node_1130": {
      "node_id": "node_1130",
      "content": "INITIAL DESIGN (Trace 167)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 210.04 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.04101753208244,
      "fos_buckling": 1.1413934961100756,
      "fos_yielding": 2.145799153344623,
      "deflection": 0.004912274106090553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1131": {
      "node_id": "node_1131",
      "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 211.41 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.4065923654697,
      "fos_buckling": 1.1825809465522739,
      "fos_yielding": 2.2108224599769857,
      "deflection": 0.004804843385118992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.252)"
      },
      "parent_node_id": "node_1130",
      "improvement_over_parent": null
    },
    "node_1132": {
      "node_id": "node_1132",
      "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 214.83 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.83450742484106,
      "fos_buckling": 1.3260763865448757,
      "fos_yielding": 2.214437955734301,
      "deflection": 0.004735103141774437,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.263)"
      },
      "parent_node_id": "node_1131",
      "improvement_over_parent": null
    },
    "node_1133": {
      "node_id": "node_1133",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.47993470689454,
      "fos_buckling": 1.5405858370125698,
      "fos_yielding": 2.648849156396279,
      "deflection": 0.0039605709557086555,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1132",
      "improvement_over_parent": null
    },
    "node_1134": {
      "node_id": "node_1134",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1133",
      "improvement_over_parent": null
    },
    "node_1135": {
      "node_id": "node_1135",
      "content": "INITIAL DESIGN (Trace 168)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 204.89 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.89361216410913,
      "fos_buckling": 0.39504676461972,
      "fos_yielding": 1.267833753691519,
      "deflection": 0.013117462849500229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1136": {
      "node_id": "node_1136",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 205.55 kg\n  Factor of Safety: 0.40\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": 205.55304609482153,
      "fos_buckling": 0.39503929789378533,
      "fos_yielding": 1.2678098562801243,
      "deflection": 0.013109804949572146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.199)"
      },
      "parent_node_id": "node_1135",
      "improvement_over_parent": null
    },
    "node_1137": {
      "node_id": "node_1137",
      "content": "MODIFICATION: Increase 19 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 210.73 kg\n  Factor of Safety: 0.39\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": 210.72510038048515,
      "fos_buckling": 0.3949807448587946,
      "fos_yielding": 1.2518861918078659,
      "deflection": 0.013098430262994511,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.435)"
      },
      "parent_node_id": "node_1136",
      "improvement_over_parent": null
    },
    "node_1138": {
      "node_id": "node_1138",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 218.04 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.0382616193449,
      "fos_buckling": 1.3427224799123516,
      "fos_yielding": 2.2470650742561076,
      "deflection": 0.004666493514387701,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003355)"
      },
      "parent_node_id": "node_1137",
      "improvement_over_parent": null
    },
    "node_1139": {
      "node_id": "node_1139",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5417921822271,
      "fos_buckling": 1.5408589522561358,
      "fos_yielding": 2.6494004463801852,
      "deflection": 0.003959719647916953,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_1138",
      "improvement_over_parent": null
    },
    "node_1140": {
      "node_id": "node_1140",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1139",
      "improvement_over_parent": null
    },
    "node_1141": {
      "node_id": "node_1141",
      "content": "INITIAL DESIGN (Trace 169)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 185.35 kg\n  Factor of Safety: 0.58\n  Max Deflection: 6.45e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.346344447361,
      "fos_buckling": 0.5772177814066135,
      "fos_yielding": 2.0524179487400587,
      "deflection": 0.006451821423075138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1142": {
      "node_id": "node_1142",
      "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 187.42 kg\n  Factor of Safety: 0.58\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.41935564338928,
      "fos_buckling": 0.5770474614255425,
      "fos_yielding": 2.0518106195421333,
      "deflection": 0.006307254529187945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.439)"
      },
      "parent_node_id": "node_1141",
      "improvement_over_parent": null
    },
    "node_1143": {
      "node_id": "node_1143",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 205.02 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.02254061902474,
      "fos_buckling": 1.2070643889805686,
      "fos_yielding": 2.2566496573021744,
      "deflection": 0.004719186819348036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003924)"
      },
      "parent_node_id": "node_1142",
      "improvement_over_parent": null
    },
    "node_1144": {
      "node_id": "node_1144",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.46 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.45656332995532,
      "fos_buckling": 1.4140420983675583,
      "fos_yielding": 2.7171251964142855,
      "deflection": 0.003920587615627997,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1143",
      "improvement_over_parent": null
    },
    "node_1145": {
      "node_id": "node_1145",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 254.02 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.01535151810492,
      "fos_buckling": 1.5262155491984368,
      "fos_yielding": 2.647311261028355,
      "deflection": 0.003993365986592164,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1144",
      "improvement_over_parent": null
    },
    "node_1146": {
      "node_id": "node_1146",
      "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0060)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 258.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.83281743204617,
      "fos_buckling": 1.5406954263509534,
      "fos_yielding": 2.6459794596417185,
      "deflection": 0.003946939362034947,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.256)"
      },
      "parent_node_id": "node_1145",
      "improvement_over_parent": null
    },
    "node_1147": {
      "node_id": "node_1147",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1146",
      "improvement_over_parent": null
    },
    "node_1148": {
      "node_id": "node_1148",
      "content": "INITIAL DESIGN (Trace 170)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 191.50 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.50042723234915,
      "fos_buckling": 0.9834154851367458,
      "fos_yielding": 1.9865343693085857,
      "deflection": 0.005471399243295625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1149": {
      "node_id": "node_1149",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 194.71 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.70702140803158,
      "fos_buckling": 0.9834154851367458,
      "fos_yielding": 1.9865343693085857,
      "deflection": 0.005471399243295625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.562)"
      },
      "parent_node_id": "node_1148",
      "improvement_over_parent": null
    },
    "node_1150": {
      "node_id": "node_1150",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.50 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.503625363918,
      "fos_buckling": 1.1637742008634884,
      "fos_yielding": 2.4287379151991546,
      "deflection": 0.004478204208633187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1149",
      "improvement_over_parent": null
    },
    "node_1151": {
      "node_id": "node_1151",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59336913872545,
      "fos_buckling": 1.5410984643427668,
      "fos_yielding": 2.6501480630865633,
      "deflection": 0.003958857240453944,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1150",
      "improvement_over_parent": null
    },
    "node_1152": {
      "node_id": "node_1152",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1151",
      "improvement_over_parent": null
    },
    "node_1153": {
      "node_id": "node_1153",
      "content": "INITIAL DESIGN (Trace 171)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 144.14 kg\n  Factor of Safety: 0.10\n  Max Deflection: 5.66e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.13957762442587,
      "fos_buckling": 0.09682326374094692,
      "fos_yielding": 0.31490509897841296,
      "deflection": 56608889408338.664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1154": {
      "node_id": "node_1154",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 161.80 kg\n  Factor of Safety: 0.34\n  Max Deflection: 7.04e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.80300932027626,
      "fos_buckling": 0.33846076261969577,
      "fos_yielding": 1.286764077531273,
      "deflection": 7044914976458.197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_1153",
      "improvement_over_parent": null
    },
    "node_1155": {
      "node_id": "node_1155",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 166.90 kg\n  Factor of Safety: 0.07\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": 166.9016530794709,
      "fos_buckling": 0.07275375855333263,
      "fos_yielding": 0.923971798821725,
      "deflection": 0.0131147417749081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002036)"
      },
      "parent_node_id": "node_1154",
      "improvement_over_parent": null
    },
    "node_1156": {
      "node_id": "node_1156",
      "content": "MODIFICATION: Increase 12 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 176.09 kg\n  Factor of Safety: 0.07\n  Max Deflection: 1.30e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.09162909851872,
      "fos_buckling": 0.07273438623625791,
      "fos_yielding": 0.9237257706437891,
      "deflection": 0.013021174885012473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.629)"
      },
      "parent_node_id": "node_1155",
      "improvement_over_parent": null
    },
    "node_1157": {
      "node_id": "node_1157",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n\nPerformance:\n  Mass: 192.37 kg\n  Factor of Safety: 0.38\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.3748611055295,
      "fos_buckling": 0.3782795465952279,
      "fos_yielding": 1.9349918855669532,
      "deflection": 0.005746454339703154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003638)"
      },
      "parent_node_id": "node_1156",
      "improvement_over_parent": null
    },
    "node_1158": {
      "node_id": "node_1158",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 218.81 kg\n  Factor of Safety: 0.42\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.81014578742696,
      "fos_buckling": 0.42281771044449173,
      "fos_yielding": 2.1984607259189852,
      "deflection": 0.00505891008837476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.149)"
      },
      "parent_node_id": "node_1157",
      "improvement_over_parent": null
    },
    "node_1159": {
      "node_id": "node_1159",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 247.49 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.48775062948465,
      "fos_buckling": 0.46907631547027484,
      "fos_yielding": 2.483620991624724,
      "deflection": 0.004479142156248268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1158",
      "improvement_over_parent": null
    },
    "node_1160": {
      "node_id": "node_1160",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4595040281803,
      "fos_buckling": 1.540658167468768,
      "fos_yielding": 2.6485376795303006,
      "deflection": 0.0039610363779649296,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1159",
      "improvement_over_parent": null
    },
    "node_1161": {
      "node_id": "node_1161",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1160",
      "improvement_over_parent": null
    },
    "node_1162": {
      "node_id": "node_1162",
      "content": "INITIAL DESIGN (Trace 172)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 145.66 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.65954682928648,
      "fos_buckling": 0.9472498762710876,
      "fos_yielding": 1.2774875554095508,
      "deflection": 0.006988814997404266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1163": {
      "node_id": "node_1163",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 180.56 kg\n  Factor of Safety: 1.14\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.56091826604745,
      "fos_buckling": 1.1442560716154715,
      "fos_yielding": 1.5844418231648796,
      "deflection": 0.005648323888607527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1162",
      "improvement_over_parent": null
    },
    "node_1164": {
      "node_id": "node_1164",
      "content": "MODIFICATION: Increase 1 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 182.16 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.45e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.1627041391053,
      "fos_buckling": 1.1474151827349082,
      "fos_yielding": 1.9848304164396704,
      "deflection": 0.005451503964176456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.282)"
      },
      "parent_node_id": "node_1163",
      "improvement_over_parent": null
    },
    "node_1165": {
      "node_id": "node_1165",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 219.23 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.2254920887509,
      "fos_buckling": 1.3430268898893605,
      "fos_yielding": 2.383003232069376,
      "deflection": 0.004540670603103472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1164",
      "improvement_over_parent": null
    },
    "node_1166": {
      "node_id": "node_1166",
      "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 222.58 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.57630533375936,
      "fos_buckling": 1.3435640319638806,
      "fos_yielding": 2.378482713142394,
      "deflection": 0.004509401385577658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.285)"
      },
      "parent_node_id": "node_1165",
      "improvement_over_parent": null
    },
    "node_1167": {
      "node_id": "node_1167",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.59 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.58513262107545,
      "fos_buckling": 1.4763949095749984,
      "fos_yielding": 2.662891003965758,
      "deflection": 0.004028185975962471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_1166",
      "improvement_over_parent": null
    },
    "node_1168": {
      "node_id": "node_1168",
      "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.01 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.01148067491891,
      "fos_buckling": 1.4945799464751486,
      "fos_yielding": 2.659183325391569,
      "deflection": 0.0040077869313357595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.295)"
      },
      "parent_node_id": "node_1167",
      "improvement_over_parent": null
    },
    "node_1169": {
      "node_id": "node_1169",
      "content": "MODIFICATION: Increase 14 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6862832976577,
      "fos_buckling": 1.5415955355338617,
      "fos_yielding": 2.649563407343648,
      "deflection": 0.003957710043770747,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.464)"
      },
      "parent_node_id": "node_1168",
      "improvement_over_parent": null
    },
    "node_1170": {
      "node_id": "node_1170",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1169",
      "improvement_over_parent": null
    },
    "node_1171": {
      "node_id": "node_1171",
      "content": "INITIAL DESIGN (Trace 173)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 134.92 kg\n  Factor of Safety: 0.16\n  Max Deflection: 2.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.92357713076768,
      "fos_buckling": 0.15721346854980098,
      "fos_yielding": 0.874997650407915,
      "deflection": 0.022599489991984908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1172": {
      "node_id": "node_1172",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 155.33 kg\n  Factor of Safety: 0.31\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": 155.3251255446341,
      "fos_buckling": 0.30967479450945,
      "fos_yielding": 0.9542453537569708,
      "deflection": 0.017740263343775826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003645)"
      },
      "parent_node_id": "node_1171",
      "improvement_over_parent": null
    },
    "node_1173": {
      "node_id": "node_1173",
      "content": "MODIFICATION: Increase 9 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 156.49 kg\n  Factor of Safety: 0.31\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": 156.48748113426214,
      "fos_buckling": 0.30963341910905723,
      "fos_yielding": 0.9541181250575471,
      "deflection": 0.017317545562973193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.236)"
      },
      "parent_node_id": "node_1172",
      "improvement_over_parent": null
    },
    "node_1174": {
      "node_id": "node_1174",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n\nPerformance:\n  Mass: 200.89 kg\n  Factor of Safety: 0.38\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": 200.88681938939783,
      "fos_buckling": 0.38432746774265253,
      "fos_yielding": 1.2208468857402028,
      "deflection": 0.013532158058739061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_1173",
      "improvement_over_parent": null
    },
    "node_1175": {
      "node_id": "node_1175",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 245.22 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.21982823884548,
      "fos_buckling": 0.45318880460154065,
      "fos_yielding": 1.4854140907299462,
      "deflection": 0.011120304888855534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1174",
      "improvement_over_parent": null
    },
    "node_1176": {
      "node_id": "node_1176",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 253.86 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.85669176649904,
      "fos_buckling": 1.4057108741940794,
      "fos_yielding": 2.6510892996405095,
      "deflection": 0.00400504094883865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1175",
      "improvement_over_parent": null
    },
    "node_1177": {
      "node_id": "node_1177",
      "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0050)]\n\nPerformance:\n  Mass: 255.64 kg\n  Factor of Safety: 1.40\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.6360238430121,
      "fos_buckling": 1.3959884509194123,
      "fos_yielding": 2.648197334634121,
      "deflection": 0.003941559369789456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.232)"
      },
      "parent_node_id": "node_1176",
      "improvement_over_parent": null
    },
    "node_1178": {
      "node_id": "node_1178",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1177",
      "improvement_over_parent": null
    },
    "node_1179": {
      "node_id": "node_1179",
      "content": "INITIAL DESIGN (Trace 174)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n  Mass: 127.13 kg\n  Factor of Safety: 0.13\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": 127.13486875210423,
      "fos_buckling": 0.13241748927190303,
      "fos_yielding": 0.7349651606890965,
      "deflection": 0.013374893884741806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1180": {
      "node_id": "node_1180",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n\nPerformance:\n  Mass: 147.02 kg\n  Factor of Safety: 0.63\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.01683543191,
      "fos_buckling": 0.6317039815570615,
      "fos_yielding": 1.5737127019979622,
      "deflection": 0.007766498730504766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003547)"
      },
      "parent_node_id": "node_1179",
      "improvement_over_parent": null
    },
    "node_1181": {
      "node_id": "node_1181",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n\nPerformance:\n  Mass: 170.23 kg\n  Factor of Safety: 0.72\n  Max Deflection: 6.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.22949456644778,
      "fos_buckling": 0.7193268346861735,
      "fos_yielding": 1.8196487250396913,
      "deflection": 0.006716545662930363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1180",
      "improvement_over_parent": null
    },
    "node_1182": {
      "node_id": "node_1182",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n  Mass: 188.32 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.32348162712955,
      "fos_buckling": 0.7853359699894261,
      "fos_yielding": 2.010867492922566,
      "deflection": 0.006077636736261533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1181",
      "improvement_over_parent": null
    },
    "node_1183": {
      "node_id": "node_1183",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 236.46 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.4584778072887,
      "fos_buckling": 0.9511645530286814,
      "fos_yielding": 2.5174765833017534,
      "deflection": 0.004854036342466976,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1182",
      "improvement_over_parent": null
    },
    "node_1184": {
      "node_id": "node_1184",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 250.21 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.2079462734761,
      "fos_buckling": 1.2182980582503222,
      "fos_yielding": 2.652586051294388,
      "deflection": 0.004067163067072959,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_1183",
      "improvement_over_parent": null
    },
    "node_1185": {
      "node_id": "node_1185",
      "content": "MODIFICATION: Increase 20 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0061)]\n\nPerformance:\n  Mass: 257.00 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.00396892866723,
      "fos_buckling": 1.2156059340748901,
      "fos_yielding": 2.626827609266763,
      "deflection": 0.004006305537298846,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.577)"
      },
      "parent_node_id": "node_1184",
      "improvement_over_parent": null
    },
    "node_1186": {
      "node_id": "node_1186",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1185",
      "improvement_over_parent": null
    },
    "node_1187": {
      "node_id": "node_1187",
      "content": "INITIAL DESIGN (Trace 175)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 146.40 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.90e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.3993916610923,
      "fos_buckling": 0.7745882184094135,
      "fos_yielding": 1.2295074084088902,
      "deflection": 0.006900029414126373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1188": {
      "node_id": "node_1188",
      "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 148.14 kg\n  Factor of Safety: 0.91\n  Max Deflection: 6.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.1366421728362,
      "fos_buckling": 0.9106758080629522,
      "fos_yielding": 1.5384031060275962,
      "deflection": 0.006750968846296667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.587)"
      },
      "parent_node_id": "node_1187",
      "improvement_over_parent": null
    },
    "node_1189": {
      "node_id": "node_1189",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 187.04 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.36e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.04388734927062,
      "fos_buckling": 1.1315787175416394,
      "fos_yielding": 1.9389778988949185,
      "deflection": 0.005359681432293606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1188",
      "improvement_over_parent": null
    },
    "node_1190": {
      "node_id": "node_1190",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 221.46 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.4612933331458,
      "fos_buckling": 1.3203888800498218,
      "fos_yielding": 2.2921267414633753,
      "deflection": 0.004536469206778201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_1189",
      "improvement_over_parent": null
    },
    "node_1191": {
      "node_id": "node_1191",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 223.36 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.35613096124374,
      "fos_buckling": 1.3703017834479434,
      "fos_yielding": 2.301439400287293,
      "deflection": 0.004556750340425117,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.418)"
      },
      "parent_node_id": "node_1190",
      "improvement_over_parent": null
    },
    "node_1192": {
      "node_id": "node_1192",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5130008737036,
      "fos_buckling": 1.5408358736069636,
      "fos_yielding": 2.6492532555340143,
      "deflection": 0.00396012459546461,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1191",
      "improvement_over_parent": null
    },
    "node_1193": {
      "node_id": "node_1193",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 176)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 163.35 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.3488153761117,
      "fos_buckling": 0.9239853169780488,
      "fos_yielding": 1.7393145427775782,
      "deflection": 0.005927368396891416,
      "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: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 165.79 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.7850902938385,
      "fos_buckling": 0.9914914207175105,
      "fos_yielding": 1.7826255752408,
      "deflection": 0.00585176519031575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.490)"
      },
      "parent_node_id": "node_1194",
      "improvement_over_parent": null
    },
    "node_1196": {
      "node_id": "node_1196",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n  Mass: 170.20 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.19965431021498,
      "fos_buckling": 1.0187591472749282,
      "fos_yielding": 1.7881211084270732,
      "deflection": 0.005964524359075515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001746)"
      },
      "parent_node_id": "node_1195",
      "improvement_over_parent": null
    },
    "node_1197": {
      "node_id": "node_1197",
      "content": "MODIFICATION: Increase 20 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 170.96 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.960713569527,
      "fos_buckling": 1.0183288119825342,
      "fos_yielding": 1.784503222100582,
      "deflection": 0.005973067435561001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.185)"
      },
      "parent_node_id": "node_1196",
      "improvement_over_parent": null
    },
    "node_1198": {
      "node_id": "node_1198",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0025)]\n\nPerformance:\n  Mass: 204.23 kg\n  Factor of Safety: 1.19\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.23491202614113,
      "fos_buckling": 1.1917864321845668,
      "fos_yielding": 2.128394848954542,
      "deflection": 0.005008947762737128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1197",
      "improvement_over_parent": null
    },
    "node_1199": {
      "node_id": "node_1199",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0025)]\n\nPerformance:\n  Mass: 205.45 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.45324095952267,
      "fos_buckling": 1.1921102746828682,
      "fos_yielding": 2.131981900670235,
      "deflection": 0.004963727603004021,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.238)"
      },
      "parent_node_id": "node_1198",
      "improvement_over_parent": null
    },
    "node_1200": {
      "node_id": "node_1200",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0032)]\n\nPerformance:\n  Mass: 255.45 kg\n  Factor of Safety: 1.44\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.4463699025835,
      "fos_buckling": 1.4364816990887104,
      "fos_yielding": 2.6445360631959987,
      "deflection": 0.004003382170282584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_1199",
      "improvement_over_parent": null
    },
    "node_1201": {
      "node_id": "node_1201",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1200",
      "improvement_over_parent": null
    },
    "node_1202": {
      "node_id": "node_1202",
      "content": "INITIAL DESIGN (Trace 177)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.68 kg\n  Factor of Safety: 0.33\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": 169.68117711902147,
      "fos_buckling": 0.32795280429164114,
      "fos_yielding": 1.0107684854286276,
      "deflection": 0.01622324031858305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1203": {
      "node_id": "node_1203",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n  Mass: 175.57 kg\n  Factor of Safety: 1.11\n  Max Deflection: 5.78e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.5691230504466,
      "fos_buckling": 1.1143971198170202,
      "fos_yielding": 1.81296372639324,
      "deflection": 0.0057811044576044565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002660)"
      },
      "parent_node_id": "node_1202",
      "improvement_over_parent": null
    },
    "node_1204": {
      "node_id": "node_1204",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 219.62 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.62095163245553,
      "fos_buckling": 1.350947736483203,
      "fos_yielding": 2.2632870923292496,
      "deflection": 0.004633299391732795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_1203",
      "improvement_over_parent": null
    },
    "node_1205": {
      "node_id": "node_1205",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6084123141992,
      "fos_buckling": 1.5412059830657023,
      "fos_yielding": 2.6501637162775844,
      "deflection": 0.003958720785316552,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1204",
      "improvement_over_parent": null
    },
    "node_1206": {
      "node_id": "node_1206",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1205",
      "improvement_over_parent": null
    },
    "node_1207": {
      "node_id": "node_1207",
      "content": "INITIAL DESIGN (Trace 178)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 126.85 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.79e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.84823073724031,
      "fos_buckling": 0.031752303103402914,
      "fos_yielding": 0.39130620903065244,
      "deflection": 0.027898233759811392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1208": {
      "node_id": "node_1208",
      "content": "MODIFICATION: Increase 18 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 129.81 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.81320659798894,
      "fos_buckling": 0.03175080847184813,
      "fos_yielding": 0.39128778962322563,
      "deflection": 0.02774085776021769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.318)"
      },
      "parent_node_id": "node_1207",
      "improvement_over_parent": null
    },
    "node_1209": {
      "node_id": "node_1209",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 152.02 kg\n  Factor of Safety: 0.04\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": 152.0240490811428,
      "fos_buckling": 0.036506259622558344,
      "fos_yielding": 0.4578105999801363,
      "deflection": 0.023716680419211125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_1208",
      "improvement_over_parent": null
    },
    "node_1210": {
      "node_id": "node_1210",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 194.05 kg\n  Factor of Safety: 0.04\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": 194.04686286027592,
      "fos_buckling": 0.0449666864739303,
      "fos_yielding": 0.5833337650580506,
      "deflection": 0.01862325960677639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1209",
      "improvement_over_parent": null
    },
    "node_1211": {
      "node_id": "node_1211",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n\nPerformance:\n  Mass: 202.64 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.64425470091783,
      "fos_buckling": 0.24490564201827955,
      "fos_yielding": 1.308012956761195,
      "deflection": 0.009047288529378835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003767)"
      },
      "parent_node_id": "node_1210",
      "improvement_over_parent": null
    },
    "node_1212": {
      "node_id": "node_1212",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 225.51 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.51130075034555,
      "fos_buckling": 0.26755173317281045,
      "fos_yielding": 1.4541731828463729,
      "deflection": 0.00813745357667791,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1211",
      "improvement_over_parent": null
    },
    "node_1213": {
      "node_id": "node_1213",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.46124312408307,
      "fos_buckling": 1.54070672522751,
      "fos_yielding": 2.648383509892721,
      "deflection": 0.003960867286524246,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1212",
      "improvement_over_parent": null
    },
    "node_1214": {
      "node_id": "node_1214",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 179)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 178.78 kg\n  Factor of Safety: 0.05\n  Max Deflection: 4.64e+11 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.77762499218193,
      "fos_buckling": 0.0544624896544491,
      "fos_yielding": 0.7194842279591404,
      "deflection": 464268923040.42346,
      "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: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 186.62 kg\n  Factor of Safety: 0.05\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": 186.6163880101614,
      "fos_buckling": 0.04915235228240937,
      "fos_yielding": 0.6493339261327001,
      "deflection": 0.020278072776222827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1215",
      "improvement_over_parent": null
    },
    "node_1217": {
      "node_id": "node_1217",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 188.84 kg\n  Factor of Safety: 0.05\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": 188.84232437600807,
      "fos_buckling": 0.04914715659483962,
      "fos_yielding": 0.6492652877857652,
      "deflection": 0.02009302964169702,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.381)"
      },
      "parent_node_id": "node_1216",
      "improvement_over_parent": null
    },
    "node_1218": {
      "node_id": "node_1218",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 190.87 kg\n  Factor of Safety: 0.05\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": 190.87267911863736,
      "fos_buckling": 0.04914557708954824,
      "fos_yielding": 0.6492444215133576,
      "deflection": 0.020094192208889732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.629)"
      },
      "parent_node_id": "node_1217",
      "improvement_over_parent": null
    },
    "node_1219": {
      "node_id": "node_1219",
      "content": "MODIFICATION: Increase 13 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 193.34 kg\n  Factor of Safety: 0.06\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": 193.34299114665228,
      "fos_buckling": 0.06304673365945261,
      "fos_yielding": 0.8830647154900835,
      "deflection": 0.01900427301920807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.433)"
      },
      "parent_node_id": "node_1218",
      "improvement_over_parent": null
    },
    "node_1220": {
      "node_id": "node_1220",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 225.29 kg\n  Factor of Safety: 0.06\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": 225.2929335203898,
      "fos_buckling": 0.06295124286520978,
      "fos_yielding": 0.8822570960888046,
      "deflection": 0.01826082612633248,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1219",
      "improvement_over_parent": null
    },
    "node_1221": {
      "node_id": "node_1221",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.55 kg\n  Factor of Safety: 0.06\n  Max Deflection: 1.66e-02 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.54805960228194,
      "fos_buckling": 0.06293010652782724,
      "fos_yielding": 0.8817206342646918,
      "deflection": 0.016571693195189825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1220",
      "improvement_over_parent": null
    },
    "node_1222": {
      "node_id": "node_1222",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0038)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 256.11 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.11120058150175,
      "fos_buckling": 1.3082961177262837,
      "fos_yielding": 2.6695580576759035,
      "deflection": 0.004031850763748461,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_1221",
      "improvement_over_parent": null
    },
    "node_1223": {
      "node_id": "node_1223",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1222",
      "improvement_over_parent": null
    },
    "node_1224": {
      "node_id": "node_1224",
      "content": "INITIAL DESIGN (Trace 180)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 188.47 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.47422034394032,
      "fos_buckling": 0.7548886214986518,
      "fos_yielding": 2.0422576108895676,
      "deflection": 0.006090105220187386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1225": {
      "node_id": "node_1225",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 192.16 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.30e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.15878457643257,
      "fos_buckling": 0.9153989145739047,
      "fos_yielding": 2.0572429443634745,
      "deflection": 0.005300860532705911,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002273)"
      },
      "parent_node_id": "node_1224",
      "improvement_over_parent": null
    },
    "node_1226": {
      "node_id": "node_1226",
      "content": "MODIFICATION: Increase 13 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 200.13 kg\n  Factor of Safety: 0.88\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.12869016369874,
      "fos_buckling": 0.8835719211793492,
      "fos_yielding": 2.048795786477018,
      "deflection": 0.00521248900503524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.600)"
      },
      "parent_node_id": "node_1225",
      "improvement_over_parent": null
    },
    "node_1227": {
      "node_id": "node_1227",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0073)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 255.86 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.85705590197682,
      "fos_buckling": 1.1011825508211135,
      "fos_yielding": 2.6159930598987224,
      "deflection": 0.004084707388632206,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1226",
      "improvement_over_parent": null
    },
    "node_1228": {
      "node_id": "node_1228",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1227",
      "improvement_over_parent": null
    },
    "node_1229": {
      "node_id": "node_1229",
      "content": "INITIAL DESIGN (Trace 181)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 117.05 kg\n  Factor of Safety: 0.15\n  Max Deflection: 2.10e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.05094485162024,
      "fos_buckling": 0.1487610115529088,
      "fos_yielding": 0.825960596119811,
      "deflection": 2098145638703.3938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1230": {
      "node_id": "node_1230",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n\nPerformance:\n  Mass: 137.00 kg\n  Factor of Safety: 0.71\n  Max Deflection: 3.55e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.99661969579617,
      "fos_buckling": 0.7072479696727156,
      "fos_yielding": 2.2970925018189132,
      "deflection": 3548635653850.931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003559)"
      },
      "parent_node_id": "node_1229",
      "improvement_over_parent": null
    },
    "node_1231": {
      "node_id": "node_1231",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n  Mass: 142.39 kg\n  Factor of Safety: 0.61\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.3878357515626,
      "fos_buckling": 0.6099845592665252,
      "fos_yielding": 1.4789194660041052,
      "deflection": 0.007303226846029492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002423)"
      },
      "parent_node_id": "node_1230",
      "improvement_over_parent": null
    },
    "node_1232": {
      "node_id": "node_1232",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 176.83 kg\n  Factor of Safety: 0.74\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.82614689208154,
      "fos_buckling": 0.7375931210775668,
      "fos_yielding": 1.8375023117874592,
      "deflection": 0.00588967166773651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1231",
      "improvement_over_parent": null
    },
    "node_1233": {
      "node_id": "node_1233",
      "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 177.92 kg\n  Factor of Safety: 0.74\n  Max Deflection: 5.68e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.92216591045653,
      "fos_buckling": 0.7375231326780343,
      "fos_yielding": 1.8578203239085742,
      "deflection": 0.005678019435334754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.186)"
      },
      "parent_node_id": "node_1232",
      "improvement_over_parent": null
    },
    "node_1234": {
      "node_id": "node_1234",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 229.47 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.4694277208352,
      "fos_buckling": 0.913127609320861,
      "fos_yielding": 2.390210341742425,
      "deflection": 0.004414776932659832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1233",
      "improvement_over_parent": null
    },
    "node_1235": {
      "node_id": "node_1235",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 239.44 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.44118111953082,
      "fos_buckling": 0.9120789433157951,
      "fos_yielding": 2.3874812893664124,
      "deflection": 0.004419966868043716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1234",
      "improvement_over_parent": null
    },
    "node_1236": {
      "node_id": "node_1236",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4837173222785,
      "fos_buckling": 1.5405737751085502,
      "fos_yielding": 2.6488662715832465,
      "deflection": 0.0039608181088419524,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1235",
      "improvement_over_parent": null
    },
    "node_1237": {
      "node_id": "node_1237",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1236",
      "improvement_over_parent": null
    },
    "node_1238": {
      "node_id": "node_1238",
      "content": "INITIAL DESIGN (Trace 182)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 110.82 kg\n  Factor of Safety: 0.23\n  Max Deflection: 2.50e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.81674123624396,
      "fos_buckling": 0.22773217205390067,
      "fos_yielding": 0.6761896556620732,
      "deflection": 0.024974652626805895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1239": {
      "node_id": "node_1239",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n\nPerformance:\n  Mass: 113.09 kg\n  Factor of Safety: 0.23\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": 113.0908006292304,
      "fos_buckling": 0.22771725568854462,
      "fos_yielding": 0.6761454324907012,
      "deflection": 0.024252143312327577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001323)"
      },
      "parent_node_id": "node_1238",
      "improvement_over_parent": null
    },
    "node_1240": {
      "node_id": "node_1240",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n\nPerformance:\n  Mass: 129.11 kg\n  Factor of Safety: 0.26\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": 129.1105675982171,
      "fos_buckling": 0.257013943181305,
      "fos_yielding": 0.7711200781722728,
      "deflection": 0.02126512157086318,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1239",
      "improvement_over_parent": null
    },
    "node_1241": {
      "node_id": "node_1241",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 158.20 kg\n  Factor of Safety: 0.31\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": 158.1986574526388,
      "fos_buckling": 0.30834711409776183,
      "fos_yielding": 0.9430666141697694,
      "deflection": 0.017387888751158147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1240",
      "improvement_over_parent": null
    },
    "node_1242": {
      "node_id": "node_1242",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n\nPerformance:\n  Mass: 184.13 kg\n  Factor of Safety: 0.35\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": 184.12904483290112,
      "fos_buckling": 0.3520898935798836,
      "fos_yielding": 1.0958008309508263,
      "deflection": 0.01496432093621114,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1241",
      "improvement_over_parent": null
    },
    "node_1243": {
      "node_id": "node_1243",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 207.18 kg\n  Factor of Safety: 0.39\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": 207.18156840001822,
      "fos_buckling": 0.38938724155830706,
      "fos_yielding": 1.231153676593322,
      "deflection": 0.013319129924362473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1242",
      "improvement_over_parent": null
    },
    "node_1244": {
      "node_id": "node_1244",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 214.37 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.367470037201,
      "fos_buckling": 1.3236587201092158,
      "fos_yielding": 2.209706325352862,
      "deflection": 0.004745545163838392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003292)"
      },
      "parent_node_id": "node_1243",
      "improvement_over_parent": null
    },
    "node_1245": {
      "node_id": "node_1245",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50603570730425,
      "fos_buckling": 1.5407346553984314,
      "fos_yielding": 2.649156012289256,
      "deflection": 0.00396038319388144,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_1244",
      "improvement_over_parent": null
    },
    "node_1246": {
      "node_id": "node_1246",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1245",
      "improvement_over_parent": null
    },
    "node_1247": {
      "node_id": "node_1247",
      "content": "INITIAL DESIGN (Trace 183)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 201.97 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.96773849263607,
      "fos_buckling": 0.5874042103937686,
      "fos_yielding": 2.2776992806327923,
      "deflection": 0.005895440013623046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1248": {
      "node_id": "node_1248",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 222.92 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.9239224994517,
      "fos_buckling": 1.16436923578008,
      "fos_yielding": 2.4298519580587556,
      "deflection": 0.004623723237800631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1247",
      "improvement_over_parent": null
    },
    "node_1249": {
      "node_id": "node_1249",
      "content": "MODIFICATION: Increase 18 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n\nPerformance:\n  Mass: 231.13 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.55e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.12836237339653,
      "fos_buckling": 1.1639163441904907,
      "fos_yielding": 2.4289068459053826,
      "deflection": 0.004549385131417133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.451)"
      },
      "parent_node_id": "node_1248",
      "improvement_over_parent": null
    },
    "node_1250": {
      "node_id": "node_1250",
      "content": "MODIFICATION: Increase 15 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n\nPerformance:\n  Mass: 233.90 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.89673778936705,
      "fos_buckling": 1.163763607156535,
      "fos_yielding": 2.428588108197773,
      "deflection": 0.0045326980555600825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.199)"
      },
      "parent_node_id": "node_1249",
      "improvement_over_parent": null
    },
    "node_1251": {
      "node_id": "node_1251",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 240.46 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.45552597751666,
      "fos_buckling": 1.1631608952784454,
      "fos_yielding": 2.427330345117028,
      "deflection": 0.004483807483492359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1250",
      "improvement_over_parent": null
    },
    "node_1252": {
      "node_id": "node_1252",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 259.55 kg\n  Factor of Safety: 1.30\n  Max Deflection: 3.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.54526975232415,
      "fos_buckling": 1.2991604151466607,
      "fos_yielding": 2.656880461440983,
      "deflection": 0.0039685232370686415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1251",
      "improvement_over_parent": null
    },
    "node_1253": {
      "node_id": "node_1253",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 184)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 132.12 kg\n  Factor of Safety: 0.37\n  Max Deflection: 8.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.11715359850356,
      "fos_buckling": 0.37421355134025414,
      "fos_yielding": 1.4301439621938785,
      "deflection": 0.008909716724536897,
      "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 all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 161.79 kg\n  Factor of Safety: 0.45\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.78875541134536,
      "fos_buckling": 0.4497397944435037,
      "fos_yielding": 1.7488470677828423,
      "deflection": 0.0072856104069446035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_1254",
      "improvement_over_parent": null
    },
    "node_1256": {
      "node_id": "node_1256",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 163.98 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.9829632914042,
      "fos_buckling": 0.4971778091030327,
      "fos_yielding": 1.7486645944089967,
      "deflection": 0.007135240339714085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.182)"
      },
      "parent_node_id": "node_1255",
      "improvement_over_parent": null
    },
    "node_1257": {
      "node_id": "node_1257",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n  Mass: 177.68 kg\n  Factor of Safety: 0.35\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.6812418236249,
      "fos_buckling": 0.35264698381505344,
      "fos_yielding": 1.7884232696703555,
      "deflection": 0.006216972790590238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003189)"
      },
      "parent_node_id": "node_1256",
      "improvement_over_parent": null
    },
    "node_1258": {
      "node_id": "node_1258",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 213.82 kg\n  Factor of Safety: 0.41\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.82319041909727,
      "fos_buckling": 0.4144489165568701,
      "fos_yielding": 2.14895404062352,
      "deflection": 0.005175519024665381,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1257",
      "improvement_over_parent": null
    },
    "node_1259": {
      "node_id": "node_1259",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 222.43 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.4278898089221,
      "fos_buckling": 1.3655175230224803,
      "fos_yielding": 2.2920422738059636,
      "deflection": 0.004575503751380291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003117)"
      },
      "parent_node_id": "node_1258",
      "improvement_over_parent": null
    },
    "node_1260": {
      "node_id": "node_1260",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.86 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.8561828224871,
      "fos_buckling": 1.542488028916695,
      "fos_yielding": 2.6528224439258463,
      "deflection": 0.003954916148306697,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1259",
      "improvement_over_parent": null
    },
    "node_1261": {
      "node_id": "node_1261",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1260",
      "improvement_over_parent": null
    },
    "node_1262": {
      "node_id": "node_1262",
      "content": "INITIAL DESIGN (Trace 185)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 151.25 kg\n  Factor of Safety: 0.31\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.25017535324278,
      "fos_buckling": 0.31089871568071653,
      "fos_yielding": 1.5611808571461352,
      "deflection": 0.007176382783729401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1263": {
      "node_id": "node_1263",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n\nPerformance:\n  Mass: 157.49 kg\n  Factor of Safety: 1.01\n  Max Deflection: 6.36e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.4919496468875,
      "fos_buckling": 1.013274538485173,
      "fos_yielding": 1.668807793935668,
      "deflection": 0.0063636143519049315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002212)"
      },
      "parent_node_id": "node_1262",
      "improvement_over_parent": null
    },
    "node_1264": {
      "node_id": "node_1264",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n  Mass: 195.47 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.4669200734235,
      "fos_buckling": 1.2250201752770367,
      "fos_yielding": 2.067020235503326,
      "deflection": 0.0051389534074631794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1263",
      "improvement_over_parent": null
    },
    "node_1265": {
      "node_id": "node_1265",
      "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n  Mass: 197.58 kg\n  Factor of Safety: 1.22\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.58056592572333,
      "fos_buckling": 1.2156728242903276,
      "fos_yielding": 2.0676299283320145,
      "deflection": 0.005107913865560088,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.276)"
      },
      "parent_node_id": "node_1264",
      "improvement_over_parent": null
    },
    "node_1266": {
      "node_id": "node_1266",
      "content": "MODIFICATION: Increase 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0049)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n  Mass: 202.89 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.88661826158616,
      "fos_buckling": 1.1993045415502515,
      "fos_yielding": 2.070920337360186,
      "deflection": 0.005017839161531023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.359)"
      },
      "parent_node_id": "node_1265",
      "improvement_over_parent": null
    },
    "node_1267": {
      "node_id": "node_1267",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0049)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 261.07 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.91e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.07350964733956,
      "fos_buckling": 1.4824375047426213,
      "fos_yielding": 2.6597681441700294,
      "deflection": 0.0039111310198600875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_1266",
      "improvement_over_parent": null
    },
    "node_1268": {
      "node_id": "node_1268",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1267",
      "improvement_over_parent": null
    },
    "node_1269": {
      "node_id": "node_1269",
      "content": "INITIAL DESIGN (Trace 186)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1270": {
      "node_id": "node_1270",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 186.80 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.8045253751184,
      "fos_buckling": 0.7494081871960402,
      "fos_yielding": 2.0226617391468915,
      "deflection": 0.0061427328838201106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003354)"
      },
      "parent_node_id": "node_1269",
      "improvement_over_parent": null
    },
    "node_1271": {
      "node_id": "node_1271",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 208.45 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.51e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.44851833487837,
      "fos_buckling": 0.8216906478525946,
      "fos_yielding": 2.2577407493669086,
      "deflection": 0.005511498893611182,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_1270",
      "improvement_over_parent": null
    },
    "node_1272": {
      "node_id": "node_1272",
      "content": "MODIFICATION: Increase 15 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 209.77 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.7719053031241,
      "fos_buckling": 0.8215976431778752,
      "fos_yielding": 2.2600098990362505,
      "deflection": 0.00552582516354544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.330)"
      },
      "parent_node_id": "node_1271",
      "improvement_over_parent": null
    },
    "node_1273": {
      "node_id": "node_1273",
      "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 216.26 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.44e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.25980682810805,
      "fos_buckling": 0.8208385059306765,
      "fos_yielding": 2.189712203015983,
      "deflection": 0.00544245572079138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.605)"
      },
      "parent_node_id": "node_1272",
      "improvement_over_parent": null
    },
    "node_1274": {
      "node_id": "node_1274",
      "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 218.11 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.30e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.1121671577969,
      "fos_buckling": 0.82062202207941,
      "fos_yielding": 2.272552558682386,
      "deflection": 0.005297998169257697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.335)"
      },
      "parent_node_id": "node_1273",
      "improvement_over_parent": null
    },
    "node_1275": {
      "node_id": "node_1275",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n\nPerformance:\n  Mass: 222.18 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.18028643264194,
      "fos_buckling": 1.3641904193420733,
      "fos_yielding": 2.2894499526653918,
      "deflection": 0.004580339914830312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002529)"
      },
      "parent_node_id": "node_1274",
      "improvement_over_parent": null
    },
    "node_1276": {
      "node_id": "node_1276",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5736856165082,
      "fos_buckling": 1.5410654118407772,
      "fos_yielding": 2.6498738652386953,
      "deflection": 0.003959021966166568,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1275",
      "improvement_over_parent": null
    },
    "node_1277": {
      "node_id": "node_1277",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 187)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 176.96 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.95930366275115,
      "fos_buckling": 0.1712564349540417,
      "fos_yielding": 0.9426607454173214,
      "deflection": 0.010855655927643489,
      "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 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n  Mass: 204.55 kg\n  Factor of Safety: 0.81\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.55318531316473,
      "fos_buckling": 0.8079821579489916,
      "fos_yielding": 2.065924579167201,
      "deflection": 0.005098291348527209,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005034)"
      },
      "parent_node_id": "node_1278",
      "improvement_over_parent": null
    },
    "node_1280": {
      "node_id": "node_1280",
      "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n  Mass: 206.83 kg\n  Factor of Safety: 0.81\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.83051742013987,
      "fos_buckling": 0.8078761103287303,
      "fos_yielding": 2.0656547893690824,
      "deflection": 0.005107306536702892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.548)"
      },
      "parent_node_id": "node_1279",
      "improvement_over_parent": null
    },
    "node_1281": {
      "node_id": "node_1281",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 239.59 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.58922232802092,
      "fos_buckling": 0.9125228487711723,
      "fos_yielding": 2.3888927346470483,
      "deflection": 0.0044170060336680495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_1280",
      "improvement_over_parent": null
    },
    "node_1282": {
      "node_id": "node_1282",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6317585307686,
      "fos_buckling": 1.541346635996582,
      "fos_yielding": 2.650478876569974,
      "deflection": 0.003958246349839078,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1281",
      "improvement_over_parent": null
    },
    "node_1283": {
      "node_id": "node_1283",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 188)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 148.60 kg\n  Factor of Safety: 0.61\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.6033184433757,
      "fos_buckling": 0.6099672631910632,
      "fos_yielding": 1.6827337115750038,
      "deflection": 0.008143630590071171,
      "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: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n  Mass: 157.75 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.75319634849336,
      "fos_buckling": 0.6581332244973888,
      "fos_yielding": 1.7576669770941664,
      "deflection": 0.006844039254827398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002498)"
      },
      "parent_node_id": "node_1284",
      "improvement_over_parent": null
    },
    "node_1286": {
      "node_id": "node_1286",
      "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n\nPerformance:\n  Mass: 159.44 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.44060565411198,
      "fos_buckling": 0.6581332244973888,
      "fos_yielding": 1.7576669770941664,
      "deflection": 0.006844039254827398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.325)"
      },
      "parent_node_id": "node_1285",
      "improvement_over_parent": null
    },
    "node_1287": {
      "node_id": "node_1287",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n  Mass: 192.82 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.81932973339605,
      "fos_buckling": 0.7750165846477113,
      "fos_yielding": 2.122259840859468,
      "deflection": 0.005670630318690852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1286",
      "improvement_over_parent": null
    },
    "node_1288": {
      "node_id": "node_1288",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 207.31 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.30881979909358,
      "fos_buckling": 1.2864864932198008,
      "fos_yielding": 2.1374884415979594,
      "deflection": 0.004905116157734732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003503)"
      },
      "parent_node_id": "node_1287",
      "improvement_over_parent": null
    },
    "node_1289": {
      "node_id": "node_1289",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53374821217335,
      "fos_buckling": 1.5407639708127403,
      "fos_yielding": 2.649260097464085,
      "deflection": 0.003959953869838018,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_1288",
      "improvement_over_parent": null
    },
    "node_1290": {
      "node_id": "node_1290",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1289",
      "improvement_over_parent": null
    },
    "node_1291": {
      "node_id": "node_1291",
      "content": "INITIAL DESIGN (Trace 189)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 129.70 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.47e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.703226045552,
      "fos_buckling": 0.04469684656325442,
      "fos_yielding": 0.2643842703083963,
      "deflection": 24730916283894.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1292": {
      "node_id": "node_1292",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n  Mass: 150.89 kg\n  Factor of Safety: 0.48\n  Max Deflection: 8.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.89168701876227,
      "fos_buckling": 0.4767856955359703,
      "fos_yielding": 1.6157414159975434,
      "deflection": 0.008477855514832836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)"
      },
      "parent_node_id": "node_1291",
      "improvement_over_parent": null
    },
    "node_1293": {
      "node_id": "node_1293",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.99 kg\n  Factor of Safety: 0.74\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.9852471527115,
      "fos_buckling": 0.7375058891768226,
      "fos_yielding": 1.615380533085046,
      "deflection": 0.00686780102122382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003094)"
      },
      "parent_node_id": "node_1292",
      "improvement_over_parent": null
    },
    "node_1294": {
      "node_id": "node_1294",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 208.47 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.45e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.47307087119194,
      "fos_buckling": 0.9177334200626788,
      "fos_yielding": 2.0369755167835266,
      "deflection": 0.005447732319714673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1293",
      "improvement_over_parent": null
    },
    "node_1295": {
      "node_id": "node_1295",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 212.66 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.66281641311042,
      "fos_buckling": 1.0675113607511,
      "fos_yielding": 2.203279402774647,
      "deflection": 0.004802829095922589,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002523)"
      },
      "parent_node_id": "node_1294",
      "improvement_over_parent": null
    },
    "node_1296": {
      "node_id": "node_1296",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 254.14 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.13645237726928,
      "fos_buckling": 1.257427532619499,
      "fos_yielding": 2.6280371363893082,
      "deflection": 0.004027912539507423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1295",
      "improvement_over_parent": null
    },
    "node_1297": {
      "node_id": "node_1297",
      "content": "MODIFICATION: Increase 10 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0049)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.74 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.7411184386302,
      "fos_buckling": 1.3115529103493473,
      "fos_yielding": 2.631507607997076,
      "deflection": 0.004010423364713336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.637)"
      },
      "parent_node_id": "node_1296",
      "improvement_over_parent": null
    },
    "node_1298": {
      "node_id": "node_1298",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1297",
      "improvement_over_parent": null
    },
    "node_1299": {
      "node_id": "node_1299",
      "content": "INITIAL DESIGN (Trace 190)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.88 kg\n  Factor of Safety: 0.75\n  Max Deflection: 3.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.88141296072902,
      "fos_buckling": 0.7525336243454886,
      "fos_yielding": 2.5666052591487656,
      "deflection": 0.0038813552711577464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1300": {
      "node_id": "node_1300",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 254.72 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.02e-03 m\n  Status: FEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.72017597870848,
      "fos_buckling": 1.5061946549758265,
      "fos_yielding": 2.652843175031782,
      "deflection": 0.004024877973767714,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1299",
      "improvement_over_parent": null
    },
    "node_1301": {
      "node_id": "node_1301",
      "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.50 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.01e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.50025586284607,
      "fos_buckling": 1.50640379427468,
      "fos_yielding": 2.6508502261338625,
      "deflection": 0.004014324346667199,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.203)"
      },
      "parent_node_id": "node_1300",
      "improvement_over_parent": null
    },
    "node_1302": {
      "node_id": "node_1302",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53204366922387,
      "fos_buckling": 1.5407929373290845,
      "fos_yielding": 2.649373302837574,
      "deflection": 0.003959855721810391,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.629)"
      },
      "parent_node_id": "node_1301",
      "improvement_over_parent": null
    },
    "node_1303": {
      "node_id": "node_1303",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1302",
      "improvement_over_parent": null
    },
    "node_1304": {
      "node_id": "node_1304",
      "content": "INITIAL DESIGN (Trace 191)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 170.59 kg\n  Factor of Safety: 0.93\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.59167323055877,
      "fos_buckling": 0.9297140856233991,
      "fos_yielding": 1.8610214582374358,
      "deflection": 0.006114702550747438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1305": {
      "node_id": "node_1305",
      "content": "MODIFICATION: Increase 15 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 175.36 kg\n  Factor of Safety: 0.90\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.35721430187328,
      "fos_buckling": 0.9047061073423026,
      "fos_yielding": 1.8605999851859483,
      "deflection": 0.006001876377941596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.565)"
      },
      "parent_node_id": "node_1304",
      "improvement_over_parent": null
    },
    "node_1306": {
      "node_id": "node_1306",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n\nPerformance:\n  Mass: 180.43 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.4332798057184,
      "fos_buckling": 0.929354070067336,
      "fos_yielding": 1.8603008101527239,
      "deflection": 0.005887537134268005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002232)"
      },
      "parent_node_id": "node_1305",
      "improvement_over_parent": null
    },
    "node_1307": {
      "node_id": "node_1307",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n\nPerformance:\n  Mass: 195.02 kg\n  Factor of Safety: 1.17\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.01812291749098,
      "fos_buckling": 1.165587647839488,
      "fos_yielding": 2.0212864902051746,
      "deflection": 0.005139108446767743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003410)"
      },
      "parent_node_id": "node_1306",
      "improvement_over_parent": null
    },
    "node_1308": {
      "node_id": "node_1308",
      "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n\nPerformance:\n  Mass: 196.80 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.16e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.79534427130346,
      "fos_buckling": 1.2305284344074887,
      "fos_yielding": 2.0302076445205763,
      "deflection": 0.0051639064930873915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.451)"
      },
      "parent_node_id": "node_1307",
      "improvement_over_parent": null
    },
    "node_1309": {
      "node_id": "node_1309",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 229.62 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.6228650541366,
      "fos_buckling": 1.4022838464560967,
      "fos_yielding": 2.365315056779363,
      "deflection": 0.004434052953955403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1308",
      "improvement_over_parent": null
    },
    "node_1310": {
      "node_id": "node_1310",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6236507379629,
      "fos_buckling": 1.5412921169551979,
      "fos_yielding": 2.6503572692719715,
      "deflection": 0.003958502123107127,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_1309",
      "improvement_over_parent": null
    },
    "node_1311": {
      "node_id": "node_1311",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1310",
      "improvement_over_parent": null
    },
    "node_1312": {
      "node_id": "node_1312",
      "content": "INITIAL DESIGN (Trace 192)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 162.20 kg\n  Factor of Safety: 0.55\n  Max Deflection: 7.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.20168451781734,
      "fos_buckling": 0.5456368943529984,
      "fos_yielding": 1.7168941477978317,
      "deflection": 0.007578036867134453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1313": {
      "node_id": "node_1313",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 209.70 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.7048887738821,
      "fos_buckling": 0.6745990334006006,
      "fos_yielding": 2.225719020964371,
      "deflection": 0.0058769457014433805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_1312",
      "improvement_over_parent": null
    },
    "node_1314": {
      "node_id": "node_1314",
      "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 211.01 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.00780833729635,
      "fos_buckling": 0.6745241149772003,
      "fos_yielding": 2.225650004492328,
      "deflection": 0.005877263675915387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.335)"
      },
      "parent_node_id": "node_1313",
      "improvement_over_parent": null
    },
    "node_1315": {
      "node_id": "node_1315",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 232.26 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.2629344191885,
      "fos_buckling": 0.9126680078611682,
      "fos_yielding": 2.2245247111925504,
      "deflection": 0.005045564247566385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1314",
      "improvement_over_parent": null
    },
    "node_1316": {
      "node_id": "node_1316",
      "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.53 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.5342712002736,
      "fos_buckling": 0.9124889262204684,
      "fos_yielding": 2.3887093668142043,
      "deflection": 0.004906991858107143,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.309)"
      },
      "parent_node_id": "node_1315",
      "improvement_over_parent": null
    },
    "node_1317": {
      "node_id": "node_1317",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 252.58 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.57680740302126,
      "fos_buckling": 1.1629139636817698,
      "fos_yielding": 2.426903715809813,
      "deflection": 0.0044812426808421985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1316",
      "improvement_over_parent": null
    },
    "node_1318": {
      "node_id": "node_1318",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5800340116876,
      "fos_buckling": 1.5410686645643608,
      "fos_yielding": 2.6506832199259582,
      "deflection": 0.003958968965972441,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1317",
      "improvement_over_parent": null
    },
    "node_1319": {
      "node_id": "node_1319",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1318",
      "improvement_over_parent": null
    },
    "node_1320": {
      "node_id": "node_1320",
      "content": "INITIAL DESIGN (Trace 193)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 183.10 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.0976884068672,
      "fos_buckling": 0.9112849010032116,
      "fos_yielding": 2.019994599683955,
      "deflection": 0.005464288481279773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1321": {
      "node_id": "node_1321",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 202.69 kg\n  Factor of Safety: 1.00\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.688937609045,
      "fos_buckling": 1.0002486581881387,
      "fos_yielding": 2.233160037512618,
      "deflection": 0.004941982643737415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1320",
      "improvement_over_parent": null
    },
    "node_1322": {
      "node_id": "node_1322",
      "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 204.87 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.86541476938956,
      "fos_buckling": 1.0312762639736461,
      "fos_yielding": 2.2337090524773595,
      "deflection": 0.0049058128770976366,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.182)"
      },
      "parent_node_id": "node_1321",
      "improvement_over_parent": null
    },
    "node_1323": {
      "node_id": "node_1323",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 244.57 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.56597387464865,
      "fos_buckling": 1.2094620334384172,
      "fos_yielding": 2.6597959002058778,
      "deflection": 0.0041192109464727325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1322",
      "improvement_over_parent": null
    },
    "node_1324": {
      "node_id": "node_1324",
      "content": "MODIFICATION: Increase 14 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 249.86 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.86106262039067,
      "fos_buckling": 1.208600085185892,
      "fos_yielding": 2.650962680889221,
      "deflection": 0.004073355532259184,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.422)"
      },
      "parent_node_id": "node_1323",
      "improvement_over_parent": null
    },
    "node_1325": {
      "node_id": "node_1325",
      "content": "MODIFICATION: Increase 20 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.344540566338,
      "fos_buckling": 1.5399373294904157,
      "fos_yielding": 2.647776348765826,
      "deflection": 0.003962548333700489,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.597)"
      },
      "parent_node_id": "node_1324",
      "improvement_over_parent": null
    },
    "node_1326": {
      "node_id": "node_1326",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1325",
      "improvement_over_parent": null
    },
    "node_1327": {
      "node_id": "node_1327",
      "content": "INITIAL DESIGN (Trace 194)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 231.40 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.40101027707226,
      "fos_buckling": 0.6727444807077952,
      "fos_yielding": 2.139771278275256,
      "deflection": 0.0052166764545004615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1328": {
      "node_id": "node_1328",
      "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 232.38 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.38297252866067,
      "fos_buckling": 0.6726883166119205,
      "fos_yielding": 2.139726376660338,
      "deflection": 0.005216911416216411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.235)"
      },
      "parent_node_id": "node_1327",
      "improvement_over_parent": null
    },
    "node_1329": {
      "node_id": "node_1329",
      "content": "MODIFICATION: Increase 5 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 234.77 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.76572068351004,
      "fos_buckling": 0.6725520724528244,
      "fos_yielding": 2.467817288988174,
      "deflection": 0.005087088504165914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.364)"
      },
      "parent_node_id": "node_1328",
      "improvement_over_parent": null
    },
    "node_1330": {
      "node_id": "node_1330",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.02 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.0208467654022,
      "fos_buckling": 1.5391750552726777,
      "fos_yielding": 2.657823755010118,
      "deflection": 0.003950686654637594,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1329",
      "improvement_over_parent": null
    },
    "node_1331": {
      "node_id": "node_1331",
      "content": "MODIFICATION: Increase 16 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.537573536882,
      "fos_buckling": 1.5408235136974056,
      "fos_yielding": 2.6493778754645203,
      "deflection": 0.003959759637375698,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.330)"
      },
      "parent_node_id": "node_1330",
      "improvement_over_parent": null
    },
    "node_1332": {
      "node_id": "node_1332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1331",
      "improvement_over_parent": null
    },
    "node_1333": {
      "node_id": "node_1333",
      "content": "INITIAL DESIGN (Trace 195)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 171.41 kg\n  Factor of Safety: 0.72\n  Max Deflection: 7.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.40548127373054,
      "fos_buckling": 0.7157751740710232,
      "fos_yielding": 1.3531326560000454,
      "deflection": 0.007300322500844067,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1334": {
      "node_id": "node_1334",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 190.35 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.35108493643116,
      "fos_buckling": 0.7830448813491102,
      "fos_yielding": 1.500873842716725,
      "deflection": 0.006581116742629407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1333",
      "improvement_over_parent": null
    },
    "node_1335": {
      "node_id": "node_1335",
      "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 192.07 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.06611758711247,
      "fos_buckling": 0.7829287411961947,
      "fos_yielding": 1.5006525140329405,
      "deflection": 0.006574996120434658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.493)"
      },
      "parent_node_id": "node_1334",
      "improvement_over_parent": null
    },
    "node_1336": {
      "node_id": "node_1336",
      "content": "MODIFICATION: Increase 14 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 195.35 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.34794263419724,
      "fos_buckling": 0.782706595571106,
      "fos_yielding": 1.5002291693100163,
      "deflection": 0.006520607188712995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.433)"
      },
      "parent_node_id": "node_1335",
      "improvement_over_parent": null
    },
    "node_1337": {
      "node_id": "node_1337",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 210.35 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.35055760640174,
      "fos_buckling": 0.79616598819708,
      "fos_yielding": 2.1923656641718816,
      "deflection": 0.005491308698182657,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003631)"
      },
      "parent_node_id": "node_1336",
      "improvement_over_parent": null
    },
    "node_1338": {
      "node_id": "node_1338",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 214.27 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.27259877442344,
      "fos_buckling": 1.3231573720945429,
      "fos_yielding": 2.2086780012215748,
      "deflection": 0.004747499340865051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002431)"
      },
      "parent_node_id": "node_1337",
      "improvement_over_parent": null
    },
    "node_1339": {
      "node_id": "node_1339",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58587614941905,
      "fos_buckling": 1.5411146658713621,
      "fos_yielding": 2.6498972929129834,
      "deflection": 0.003959074667744347,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1338",
      "improvement_over_parent": null
    },
    "node_1340": {
      "node_id": "node_1340",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1339",
      "improvement_over_parent": null
    },
    "node_1341": {
      "node_id": "node_1341",
      "content": "INITIAL DESIGN (Trace 196)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 135.95 kg\n  Factor of Safety: 0.59\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.95113380213186,
      "fos_buckling": 0.5870416182599081,
      "fos_yielding": 1.4361857270153284,
      "deflection": 0.007344260154265814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1342": {
      "node_id": "node_1342",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 163.40 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.40275483107064,
      "fos_buckling": 0.6907960647631406,
      "fos_yielding": 1.7238189260781975,
      "deflection": 0.0061210223688431264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_1341",
      "improvement_over_parent": null
    },
    "node_1343": {
      "node_id": "node_1343",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n\nPerformance:\n  Mass: 170.57 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.57413000881638,
      "fos_buckling": 0.6902244461812209,
      "fos_yielding": 1.722398481154012,
      "deflection": 0.006125832626759145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002563)"
      },
      "parent_node_id": "node_1342",
      "improvement_over_parent": null
    },
    "node_1344": {
      "node_id": "node_1344",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 203.11 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.10597760158055,
      "fos_buckling": 0.8018031255822975,
      "fos_yielding": 2.047388422151587,
      "deflection": 0.005154521955971828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1343",
      "improvement_over_parent": null
    },
    "node_1345": {
      "node_id": "node_1345",
      "content": "MODIFICATION: Increase 16 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0062)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 211.50 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.49516999557255,
      "fos_buckling": 1.093827213780624,
      "fos_yielding": 2.0459117202266888,
      "deflection": 0.004902303371006057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.529)"
      },
      "parent_node_id": "node_1344",
      "improvement_over_parent": null
    },
    "node_1346": {
      "node_id": "node_1346",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 246.88 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.21e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.87883645724614,
      "fos_buckling": 1.2184621574878893,
      "fos_yielding": 2.3861704846213203,
      "deflection": 0.004208406869140373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1345",
      "improvement_over_parent": null
    },
    "node_1347": {
      "node_id": "node_1347",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0073)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 264.92 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.87e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 264.92137265999384,
      "fos_buckling": 1.5363596580540861,
      "fos_yielding": 2.665879745497997,
      "deflection": 0.0038651194916968948,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1346",
      "improvement_over_parent": null
    },
    "node_1348": {
      "node_id": "node_1348",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1347",
      "improvement_over_parent": null
    },
    "node_1349": {
      "node_id": "node_1349",
      "content": "INITIAL DESIGN (Trace 197)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 187.03 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.03163600180753,
      "fos_buckling": 0.6022662553551624,
      "fos_yielding": 2.076784658971246,
      "deflection": 0.006626025717631649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1350": {
      "node_id": "node_1350",
      "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 189.72 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.7213349048915,
      "fos_buckling": 0.6020811988397778,
      "fos_yielding": 2.076143564170324,
      "deflection": 0.006621636619449948,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.488)"
      },
      "parent_node_id": "node_1349",
      "improvement_over_parent": null
    },
    "node_1351": {
      "node_id": "node_1351",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n\nPerformance:\n  Mass: 194.06 kg\n  Factor of Safety: 0.60\n  Max Deflection: 6.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.06135395872022,
      "fos_buckling": 0.6020065805884508,
      "fos_yielding": 2.0758850632635384,
      "deflection": 0.006038509116754056,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002621)"
      },
      "parent_node_id": "node_1350",
      "improvement_over_parent": null
    },
    "node_1352": {
      "node_id": "node_1352",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 223.83 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.82575420335473,
      "fos_buckling": 0.6763664278915869,
      "fos_yielding": 2.3897484128252873,
      "deflection": 0.0052464074719429715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.168)"
      },
      "parent_node_id": "node_1351",
      "improvement_over_parent": null
    },
    "node_1353": {
      "node_id": "node_1353",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 230.47 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.46835443217407,
      "fos_buckling": 0.9121767944475258,
      "fos_yielding": 2.3888393027895303,
      "deflection": 0.004493613185835801,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1352",
      "improvement_over_parent": null
    },
    "node_1354": {
      "node_id": "node_1354",
      "content": "MODIFICATION: Increase 19 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n\nPerformance:\n  Mass: 233.79 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.79438372631523,
      "fos_buckling": 0.9123515219047587,
      "fos_yielding": 2.388384360359845,
      "deflection": 0.004430260150789135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.585)"
      },
      "parent_node_id": "node_1353",
      "improvement_over_parent": null
    },
    "node_1355": {
      "node_id": "node_1355",
      "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n\nPerformance:\n  Mass: 239.56 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.37e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.56148401718923,
      "fos_buckling": 0.9125030586322539,
      "fos_yielding": 2.387990081525543,
      "deflection": 0.004372808536535068,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.366)"
      },
      "parent_node_id": "node_1354",
      "improvement_over_parent": null
    },
    "node_1356": {
      "node_id": "node_1356",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0047)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.6040202199369,
      "fos_buckling": 1.2582583125377826,
      "fos_yielding": 2.6631973882181565,
      "deflection": 0.004007123554679693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1355",
      "improvement_over_parent": null
    },
    "node_1357": {
      "node_id": "node_1357",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 198)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.01 kg\n  Factor of Safety: 0.58\n  Max Deflection: 5.66e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.00507989771464,
      "fos_buckling": 0.5832793584034925,
      "fos_yielding": 2.266534323077104,
      "deflection": 0.00566033252809542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1359": {
      "node_id": "node_1359",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 241.56 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.56386808586424,
      "fos_buckling": 0.6688972471791603,
      "fos_yielding": 2.2652624501779806,
      "deflection": 0.0056456838111446144,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1358",
      "improvement_over_parent": null
    },
    "node_1360": {
      "node_id": "node_1360",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 248.21 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.20646831468358,
      "fos_buckling": 0.9260291002595059,
      "fos_yielding": 2.6301267235845773,
      "deflection": 0.004579448762848654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1359",
      "improvement_over_parent": null
    },
    "node_1361": {
      "node_id": "node_1361",
      "content": "MODIFICATION: Increase 18 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 250.37 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.36966207290936,
      "fos_buckling": 0.925858405556412,
      "fos_yielding": 2.618644287663259,
      "deflection": 0.004591521753651333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.377)"
      },
      "parent_node_id": "node_1360",
      "improvement_over_parent": null
    },
    "node_1362": {
      "node_id": "node_1362",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 255.09 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.02e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.08648132227094,
      "fos_buckling": 1.5023853260112425,
      "fos_yielding": 2.63892203780044,
      "deflection": 0.004015745299562865,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1361",
      "improvement_over_parent": null
    },
    "node_1363": {
      "node_id": "node_1363",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 199)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 202.65 kg\n  Factor of Safety: 0.62\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.65471940798477,
      "fos_buckling": 0.6169056672594012,
      "fos_yielding": 2.043249830022803,
      "deflection": 0.006073543134923475,
      "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: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 221.46 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.45658925329465,
      "fos_buckling": 0.8476714213597688,
      "fos_yielding": 2.2049485945330862,
      "deflection": 0.00518206495987449,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004249)"
      },
      "parent_node_id": "node_1364",
      "improvement_over_parent": null
    },
    "node_1366": {
      "node_id": "node_1366",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 246.90 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.90390874623637,
      "fos_buckling": 0.9257686546936745,
      "fos_yielding": 2.4618343034670365,
      "deflection": 0.004655288176145111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_1365",
      "improvement_over_parent": null
    },
    "node_1367": {
      "node_id": "node_1367",
      "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 248.69 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.685188655574,
      "fos_buckling": 0.9257686546936745,
      "fos_yielding": 2.4618343034670365,
      "deflection": 0.004655288176145111,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.217)"
      },
      "parent_node_id": "node_1366",
      "improvement_over_parent": null
    },
    "node_1368": {
      "node_id": "node_1368",
      "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 250.71 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.71069972275905,
      "fos_buckling": 0.9257154040704858,
      "fos_yielding": 2.633840883622535,
      "deflection": 0.004601928296776616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.351)"
      },
      "parent_node_id": "node_1367",
      "improvement_over_parent": null
    },
    "node_1369": {
      "node_id": "node_1369",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 252.85 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.84896770821265,
      "fos_buckling": 0.9257154040704864,
      "fos_yielding": 2.6299980623184798,
      "deflection": 0.004580033826171179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.252)"
      },
      "parent_node_id": "node_1368",
      "improvement_over_parent": null
    },
    "node_1370": {
      "node_id": "node_1370",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.56578695757423,
      "fos_buckling": 1.5409628780029818,
      "fos_yielding": 2.649537010411333,
      "deflection": 0.00395944921316443,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1369",
      "improvement_over_parent": null
    },
    "node_1371": {
      "node_id": "node_1371",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1370",
      "improvement_over_parent": null
    },
    "node_1372": {
      "node_id": "node_1372",
      "content": "INITIAL DESIGN (Trace 200)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0013)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0016)]\n\nPerformance:\n  Mass: 130.50 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.50251479702715,
      "fos_buckling": 0.6833678712889958,
      "fos_yielding": 1.3168274402423623,
      "deflection": 0.008429406693222057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1373": {
      "node_id": "node_1373",
      "content": "MODIFICATION: Increase 19 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0013)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 134.29 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.2887204616921,
      "fos_buckling": 0.6833268170972356,
      "fos_yielding": 1.3167483301634177,
      "deflection": 0.008245835838884101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.515)"
      },
      "parent_node_id": "node_1372",
      "improvement_over_parent": null
    },
    "node_1374": {
      "node_id": "node_1374",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 136.34 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.34472531367228,
      "fos_buckling": 0.6833268170972364,
      "fos_yielding": 1.3167483301634206,
      "deflection": 0.0082458358388841,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.522)"
      },
      "parent_node_id": "node_1373",
      "improvement_over_parent": null
    },
    "node_1375": {
      "node_id": "node_1375",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n\nPerformance:\n  Mass: 139.05 kg\n  Factor of Safety: 0.91\n  Max Deflection: 7.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.04571265407884,
      "fos_buckling": 0.9052130953683586,
      "fos_yielding": 1.4382138241976004,
      "deflection": 0.007284206333791609,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001583)"
      },
      "parent_node_id": "node_1374",
      "improvement_over_parent": null
    },
    "node_1376": {
      "node_id": "node_1376",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n\nPerformance:\n  Mass: 177.67 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.67155881766038,
      "fos_buckling": 1.1260343932786903,
      "fos_yielding": 1.834488985535427,
      "deflection": 0.005713381097678041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1375",
      "improvement_over_parent": null
    },
    "node_1377": {
      "node_id": "node_1377",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 215.08 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.07753459902466,
      "fos_buckling": 1.3272936958965684,
      "fos_yielding": 2.216915583421281,
      "deflection": 0.0047299285623607825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1376",
      "improvement_over_parent": null
    },
    "node_1378": {
      "node_id": "node_1378",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.77 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7657080921617,
      "fos_buckling": 1.5419122208440612,
      "fos_yielding": 2.6517512151430047,
      "deflection": 0.003956335153336672,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1377",
      "improvement_over_parent": null
    },
    "node_1379": {
      "node_id": "node_1379",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1378",
      "improvement_over_parent": null
    },
    "node_1380": {
      "node_id": "node_1380",
      "content": "INITIAL DESIGN (Trace 201)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 209.51 kg\n  Factor of Safety: 0.27\n  Max Deflection: 9.05e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.5131285265767,
      "fos_buckling": 0.2697420365860608,
      "fos_yielding": 1.3477800544665517,
      "deflection": 0.009049330564584632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1381": {
      "node_id": "node_1381",
      "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 216.96 kg\n  Factor of Safety: 0.27\n  Max Deflection: 9.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.96301855145677,
      "fos_buckling": 0.2683550329370749,
      "fos_yielding": 1.3473037404233046,
      "deflection": 0.009020310539749011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.605)"
      },
      "parent_node_id": "node_1380",
      "improvement_over_parent": null
    },
    "node_1382": {
      "node_id": "node_1382",
      "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 218.19 kg\n  Factor of Safety: 0.27\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.19287266868147,
      "fos_buckling": 0.2682536487531456,
      "fos_yielding": 1.347277539661814,
      "deflection": 0.009011668290535664,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.387)"
      },
      "parent_node_id": "node_1381",
      "improvement_over_parent": null
    },
    "node_1383": {
      "node_id": "node_1383",
      "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 220.11 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.96e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.113948789817,
      "fos_buckling": 0.26763924710403314,
      "fos_yielding": 1.3471547736573044,
      "deflection": 0.008959864138795052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.295)"
      },
      "parent_node_id": "node_1382",
      "improvement_over_parent": null
    },
    "node_1384": {
      "node_id": "node_1384",
      "content": "MODIFICATION: Increase 13 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.57 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.56712745749726,
      "fos_buckling": 0.26764886250614395,
      "fos_yielding": 1.4547581124334845,
      "deflection": 0.008135429067237363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.439)"
      },
      "parent_node_id": "node_1383",
      "improvement_over_parent": null
    },
    "node_1385": {
      "node_id": "node_1385",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5170698312348,
      "fos_buckling": 1.5407566638684156,
      "fos_yielding": 2.649374328072616,
      "deflection": 0.003960051382104437,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1384",
      "improvement_over_parent": null
    },
    "node_1386": {
      "node_id": "node_1386",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1385",
      "improvement_over_parent": null
    },
    "node_1387": {
      "node_id": "node_1387",
      "content": "INITIAL DESIGN (Trace 202)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 161.93 kg\n  Factor of Safety: 0.81\n  Max Deflection: 6.92e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.92993069597452,
      "fos_buckling": 0.8050717229425174,
      "fos_yielding": 1.5799382127735657,
      "deflection": 0.006916104651979452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1388": {
      "node_id": "node_1388",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 205.44 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.4353350292764,
      "fos_buckling": 0.9891403358696592,
      "fos_yielding": 2.000230084111544,
      "deflection": 0.00546570096581359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1387",
      "improvement_over_parent": null
    },
    "node_1389": {
      "node_id": "node_1389",
      "content": "MODIFICATION: Increase 18 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 207.75 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.75313139103957,
      "fos_buckling": 0.989104072194978,
      "fos_yielding": 2.00015675205701,
      "deflection": 0.0054341022505494125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.200)"
      },
      "parent_node_id": "node_1388",
      "improvement_over_parent": null
    },
    "node_1390": {
      "node_id": "node_1390",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.78 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.77542881957984,
      "fos_buckling": 1.1636656935642584,
      "fos_yielding": 2.428822715745109,
      "deflection": 0.004477895074906748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1389",
      "improvement_over_parent": null
    },
    "node_1391": {
      "node_id": "node_1391",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.78 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.77865542824617,
      "fos_buckling": 1.5420154461694255,
      "fos_yielding": 2.652002205369013,
      "deflection": 0.00395609047094103,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1390",
      "improvement_over_parent": null
    },
    "node_1392": {
      "node_id": "node_1392",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1391",
      "improvement_over_parent": null
    },
    "node_1393": {
      "node_id": "node_1393",
      "content": "INITIAL DESIGN (Trace 203)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n  Mass: 113.02 kg\n  Factor of Safety: 0.16\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.01550243737535,
      "fos_buckling": 0.1577654868162043,
      "fos_yielding": 0.8083227630658544,
      "deflection": 0.015798024246684046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1394": {
      "node_id": "node_1394",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 124.77 kg\n  Factor of Safety: 0.16\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": 124.77288043441263,
      "fos_buckling": 0.1602289779204293,
      "fos_yielding": 0.8081718806361848,
      "deflection": 0.014646395235566672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002556)"
      },
      "parent_node_id": "node_1393",
      "improvement_over_parent": null
    },
    "node_1395": {
      "node_id": "node_1395",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 156.95 kg\n  Factor of Safety: 0.20\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": 156.9461817635438,
      "fos_buckling": 0.19664597213185697,
      "fos_yielding": 1.0151421077459597,
      "deflection": 0.011659255665377342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_1394",
      "improvement_over_parent": null
    },
    "node_1396": {
      "node_id": "node_1396",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 175.83 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.82808687533816,
      "fos_buckling": 0.21708580719737186,
      "fos_yielding": 1.1363398501144417,
      "deflection": 0.010415206156964441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1395",
      "improvement_over_parent": null
    },
    "node_1397": {
      "node_id": "node_1397",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n  Mass: 200.72 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.7206443077804,
      "fos_buckling": 1.2512152888889412,
      "fos_yielding": 2.0703641269125646,
      "deflection": 0.005064005186945678,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004505)"
      },
      "parent_node_id": "node_1396",
      "improvement_over_parent": null
    },
    "node_1398": {
      "node_id": "node_1398",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58814605122444,
      "fos_buckling": 1.5407205099344246,
      "fos_yielding": 2.6500387251744923,
      "deflection": 0.003958991008786866,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_1397",
      "improvement_over_parent": null
    },
    "node_1399": {
      "node_id": "node_1399",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 204)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 176.52 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.51681200891403,
      "fos_buckling": 0.7952851943359128,
      "fos_yielding": 1.5683817682821657,
      "deflection": 0.005833001744343516,
      "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: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 213.28 kg\n  Factor of Safety: 0.94\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.2845450087029,
      "fos_buckling": 0.9440164688517494,
      "fos_yielding": 1.897968852288352,
      "deflection": 0.004835915470285745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1400",
      "improvement_over_parent": null
    },
    "node_1402": {
      "node_id": "node_1402",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.46 kg\n  Factor of Safety: 1.08\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.45749635395796,
      "fos_buckling": 1.0807567524812263,
      "fos_yielding": 2.214608039280957,
      "deflection": 0.004158189130300326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1401",
      "improvement_over_parent": null
    },
    "node_1403": {
      "node_id": "node_1403",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.74 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7393881192894,
      "fos_buckling": 1.3248225264856386,
      "fos_yielding": 2.6341336458727698,
      "deflection": 0.004037564899646914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.344)"
      },
      "parent_node_id": "node_1402",
      "improvement_over_parent": null
    },
    "node_1404": {
      "node_id": "node_1404",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.38198834810873,
      "fos_buckling": 1.5400630918028355,
      "fos_yielding": 2.6478162629160997,
      "deflection": 0.00396209438127498,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1403",
      "improvement_over_parent": null
    },
    "node_1405": {
      "node_id": "node_1405",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1404",
      "improvement_over_parent": null
    },
    "node_1406": {
      "node_id": "node_1406",
      "content": "INITIAL DESIGN (Trace 205)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0010)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 124.11 kg\n  Factor of Safety: 0.03\n  Max Deflection: 1.13e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.11429079418137,
      "fos_buckling": 0.02898842432715844,
      "fos_yielding": 0.07827783253273281,
      "deflection": 112720831046610.9,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1407": {
      "node_id": "node_1407",
      "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 125.24 kg\n  Factor of Safety: 0.54\n  Max Deflection: 4.33e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.23559068507527,
      "fos_buckling": 0.5435965095158046,
      "fos_yielding": 1.259620395913652,
      "deflection": 4329211389247.07,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.616)"
      },
      "parent_node_id": "node_1406",
      "improvement_over_parent": null
    },
    "node_1408": {
      "node_id": "node_1408",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n\nPerformance:\n  Mass: 128.84 kg\n  Factor of Safety: 0.37\n  Max Deflection: 6.47e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.84320677802927,
      "fos_buckling": 0.37444527769043506,
      "fos_yielding": 0.6396105999015046,
      "deflection": 6465955314478.679,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001555)"
      },
      "parent_node_id": "node_1407",
      "improvement_over_parent": null
    },
    "node_1409": {
      "node_id": "node_1409",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n\nPerformance:\n  Mass: 143.76 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.11e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.7624941690242,
      "fos_buckling": 0.7860232050472197,
      "fos_yielding": 1.6794938612182027,
      "deflection": 6112800297168.493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_1408",
      "improvement_over_parent": null
    },
    "node_1410": {
      "node_id": "node_1410",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n  Mass: 147.74 kg\n  Factor of Safety: 0.62\n  Max Deflection: 7.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.74058789780975,
      "fos_buckling": 0.6168115758030389,
      "fos_yielding": 1.53271724105288,
      "deflection": 0.007805481758559462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001564)"
      },
      "parent_node_id": "node_1409",
      "improvement_over_parent": null
    },
    "node_1411": {
      "node_id": "node_1411",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n  Mass: 156.08 kg\n  Factor of Safety: 1.00\n  Max Deflection: 6.50e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.08094777060853,
      "fos_buckling": 1.0042097247997077,
      "fos_yielding": 1.6129724127573173,
      "deflection": 0.006495778727542446,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002265)"
      },
      "parent_node_id": "node_1410",
      "improvement_over_parent": null
    },
    "node_1412": {
      "node_id": "node_1412",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n  Mass: 203.51 kg\n  Factor of Safety: 1.27\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.5119336251168,
      "fos_buckling": 1.2663584842685875,
      "fos_yielding": 2.098576981446938,
      "deflection": 0.004995537229470882,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1411",
      "improvement_over_parent": null
    },
    "node_1413": {
      "node_id": "node_1413",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.27858058407935,
      "fos_buckling": 1.53952615079044,
      "fos_yielding": 2.646508899907221,
      "deflection": 0.003963825614223825,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_1412",
      "improvement_over_parent": null
    },
    "node_1414": {
      "node_id": "node_1414",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1413",
      "improvement_over_parent": null
    },
    "node_1415": {
      "node_id": "node_1415",
      "content": "INITIAL DESIGN (Trace 206)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n\nPerformance:\n  Mass: 152.08 kg\n  Factor of Safety: 0.52\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.0806329618861,
      "fos_buckling": 0.5169368810481064,
      "fos_yielding": 1.7731042803817438,
      "deflection": 0.0077643454240046835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1416": {
      "node_id": "node_1416",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n\nPerformance:\n  Mass: 165.97 kg\n  Factor of Safety: 0.52\n  Max Deflection: 6.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.97215979248978,
      "fos_buckling": 0.5167321145493552,
      "fos_yielding": 1.805476517966415,
      "deflection": 0.006948475491471205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003237)"
      },
      "parent_node_id": "node_1415",
      "improvement_over_parent": null
    },
    "node_1417": {
      "node_id": "node_1417",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 202.12 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.1177317290194,
      "fos_buckling": 0.6099857223320508,
      "fos_yielding": 2.192269584749264,
      "deflection": 0.005720163041803303,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1416",
      "improvement_over_parent": null
    },
    "node_1418": {
      "node_id": "node_1418",
      "content": "MODIFICATION: Increase 4 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 203.56 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.55591347800055,
      "fos_buckling": 0.6099607938593007,
      "fos_yielding": 2.19217968929678,
      "deflection": 0.005685422835628413,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.520)"
      },
      "parent_node_id": "node_1417",
      "improvement_over_parent": null
    },
    "node_1419": {
      "node_id": "node_1419",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 229.86 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.86057027930045,
      "fos_buckling": 0.6731753430328771,
      "fos_yielding": 2.4703916208226784,
      "deflection": 0.005043992610028902,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1418",
      "improvement_over_parent": null
    },
    "node_1420": {
      "node_id": "node_1420",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.12 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.1156963611926,
      "fos_buckling": 1.4365223743096505,
      "fos_yielding": 2.719774251196656,
      "deflection": 0.003885880690179199,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1419",
      "improvement_over_parent": null
    },
    "node_1421": {
      "node_id": "node_1421",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6744845493422,
      "fos_buckling": 1.541605250074074,
      "fos_yielding": 2.651025266099214,
      "deflection": 0.003957567973677855,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1420",
      "improvement_over_parent": null
    },
    "node_1422": {
      "node_id": "node_1422",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1421",
      "improvement_over_parent": null
    },
    "node_1423": {
      "node_id": "node_1423",
      "content": "INITIAL DESIGN (Trace 207)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 140.49 kg\n  Factor of Safety: 0.28\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": 140.48801302119804,
      "fos_buckling": 0.28400930164514393,
      "fos_yielding": 0.8605601649117024,
      "deflection": 0.01994315500713879,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1424": {
      "node_id": "node_1424",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n\nPerformance:\n  Mass: 144.34 kg\n  Factor of Safety: 0.83\n  Max Deflection: 7.07e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.33890912560278,
      "fos_buckling": 0.8307455919652224,
      "fos_yielding": 1.5020364383608877,
      "deflection": 0.0070743062595421775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.001704)"
      },
      "parent_node_id": "node_1423",
      "improvement_over_parent": null
    },
    "node_1425": {
      "node_id": "node_1425",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n  Mass: 177.62 kg\n  Factor of Safety: 1.00\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.61838729011484,
      "fos_buckling": 1.0046915539582393,
      "fos_yielding": 1.848130955082389,
      "deflection": 0.005758853799106425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1424",
      "improvement_over_parent": null
    },
    "node_1426": {
      "node_id": "node_1426",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n  Mass: 178.59 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.58890567156666,
      "fos_buckling": 1.0065485951807607,
      "fos_yielding": 1.8515469839667609,
      "deflection": 0.005736651077741614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.314)"
      },
      "parent_node_id": "node_1425",
      "improvement_over_parent": null
    },
    "node_1427": {
      "node_id": "node_1427",
      "content": "MODIFICATION: Increase 17 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n  Mass: 183.88 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.87630038126693,
      "fos_buckling": 1.0322457356967156,
      "fos_yielding": 1.8988168954709759,
      "deflection": 0.005616135605577739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.387)"
      },
      "parent_node_id": "node_1426",
      "improvement_over_parent": null
    },
    "node_1428": {
      "node_id": "node_1428",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0046)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n\nPerformance:\n  Mass: 184.71 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.71006659734692,
      "fos_buckling": 1.0381366612030485,
      "fos_yielding": 1.902273487481489,
      "deflection": 0.0056026038207001045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.190)"
      },
      "parent_node_id": "node_1427",
      "improvement_over_parent": null
    },
    "node_1429": {
      "node_id": "node_1429",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n\nPerformance:\n  Mass: 214.63 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.83e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.62764968631248,
      "fos_buckling": 1.187979684101497,
      "fos_yielding": 2.2080444920415734,
      "deflection": 0.0048283573233371055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_1428",
      "improvement_over_parent": null
    },
    "node_1430": {
      "node_id": "node_1430",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 258.85 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.8473405384031,
      "fos_buckling": 1.4000655628671896,
      "fos_yielding": 2.6588812565525557,
      "deflection": 0.004011619487529708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1429",
      "improvement_over_parent": null
    },
    "node_1431": {
      "node_id": "node_1431",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1430",
      "improvement_over_parent": null
    },
    "node_1432": {
      "node_id": "node_1432",
      "content": "INITIAL DESIGN (Trace 208)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 155.32 kg\n  Factor of Safety: 0.01\n  Max Deflection: 5.63e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.3180568188058,
      "fos_buckling": 0.013006982762085556,
      "fos_yielding": 0.04960765250881577,
      "deflection": 563151868374352.0,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1433": {
      "node_id": "node_1433",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 157.62 kg\n  Factor of Safety: 0.01\n  Max Deflection: 5.63e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.62051686859692,
      "fos_buckling": 0.013006982762085556,
      "fos_yielding": 0.03848299699525209,
      "deflection": 563151868374351.8,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.468)"
      },
      "parent_node_id": "node_1432",
      "improvement_over_parent": null
    },
    "node_1434": {
      "node_id": "node_1434",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 162.20 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.20148559002925,
      "fos_buckling": 0.23793090620389032,
      "fos_yielding": 0.8171249533972597,
      "deflection": 0.03131694831403757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001816)"
      },
      "parent_node_id": "node_1433",
      "improvement_over_parent": null
    },
    "node_1435": {
      "node_id": "node_1435",
      "content": "MODIFICATION: Increase 16 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0045)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 167.81 kg\n  Factor of Safety: 0.24\n  Max Deflection: 3.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.8074552805692,
      "fos_buckling": 0.23789256853928714,
      "fos_yielding": 0.8167331152837992,
      "deflection": 0.031093907715759105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.490)"
      },
      "parent_node_id": "node_1434",
      "improvement_over_parent": null
    },
    "node_1436": {
      "node_id": "node_1436",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0045)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n  Mass: 173.84 kg\n  Factor of Safety: 0.30\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.83899394562275,
      "fos_buckling": 0.29532373523158695,
      "fos_yielding": 1.7158703305960141,
      "deflection": 0.006659224726414421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002729)"
      },
      "parent_node_id": "node_1435",
      "improvement_over_parent": null
    },
    "node_1437": {
      "node_id": "node_1437",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 198.21 kg\n  Factor of Safety: 0.33\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.21262974739545,
      "fos_buckling": 0.33193156908074206,
      "fos_yielding": 1.9554420168561295,
      "deflection": 0.005842984588954154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1436",
      "improvement_over_parent": null
    },
    "node_1438": {
      "node_id": "node_1438",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0052)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 206.15 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.03e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.15498934679127,
      "fos_buckling": 1.01304621371346,
      "fos_yielding": 2.1095580208975577,
      "deflection": 0.005033776182373728,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002859)"
      },
      "parent_node_id": "node_1437",
      "improvement_over_parent": null
    },
    "node_1439": {
      "node_id": "node_1439",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0066)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 258.56 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.5550487177565,
      "fos_buckling": 1.2462599438830355,
      "fos_yielding": 2.6415961544829423,
      "deflection": 0.004021451277865374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1438",
      "improvement_over_parent": null
    },
    "node_1440": {
      "node_id": "node_1440",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1439",
      "improvement_over_parent": null
    },
    "node_1441": {
      "node_id": "node_1441",
      "content": "INITIAL DESIGN (Trace 209)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 205.95 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.94632732253623,
      "fos_buckling": 1.0395159911533924,
      "fos_yielding": 2.1676444013649685,
      "deflection": 0.004929593152375658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1442": {
      "node_id": "node_1442",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.53 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.5294653780952,
      "fos_buckling": 1.2472483069147897,
      "fos_yielding": 2.6514508731801767,
      "deflection": 0.004031062283747647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1441",
      "improvement_over_parent": null
    },
    "node_1443": {
      "node_id": "node_1443",
      "content": "MODIFICATION: Increase 12 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.00 kg\n  Factor of Safety: 1.34\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.99892106424653,
      "fos_buckling": 1.3437778285396356,
      "fos_yielding": 2.6529627292184474,
      "deflection": 0.0039839865605104845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.520)"
      },
      "parent_node_id": "node_1442",
      "improvement_over_parent": null
    },
    "node_1444": {
      "node_id": "node_1444",
      "content": "MODIFICATION: Increase 4 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4555441176085,
      "fos_buckling": 1.5404520764415768,
      "fos_yielding": 2.648657793364998,
      "deflection": 0.003961013803083589,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.451)"
      },
      "parent_node_id": "node_1443",
      "improvement_over_parent": null
    },
    "node_1445": {
      "node_id": "node_1445",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1444",
      "improvement_over_parent": null
    },
    "node_1446": {
      "node_id": "node_1446",
      "content": "INITIAL DESIGN (Trace 210)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1447": {
      "node_id": "node_1447",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n  Mass: 145.67 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.26e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.6692467539359,
      "fos_buckling": 0.07683809241963575,
      "fos_yielding": 0.9754539566586828,
      "deflection": 12617945851236.988,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002321)"
      },
      "parent_node_id": "node_1446",
      "improvement_over_parent": null
    },
    "node_1448": {
      "node_id": "node_1448",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n\nPerformance:\n  Mass: 170.42 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.33e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.42267970676977,
      "fos_buckling": 0.6956633150964155,
      "fos_yielding": 1.8871682816546542,
      "deflection": 0.007331210928089753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004478)"
      },
      "parent_node_id": "node_1447",
      "improvement_over_parent": null
    },
    "node_1449": {
      "node_id": "node_1449",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 219.95 kg\n  Factor of Safety: 0.86\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.9521627131397,
      "fos_buckling": 0.8613795309651243,
      "fos_yielding": 2.430572329984863,
      "deflection": 0.0056976402599496784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1448",
      "improvement_over_parent": null
    },
    "node_1450": {
      "node_id": "node_1450",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n  Mass: 223.08 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.07731339035342,
      "fos_buckling": 1.0338625939611652,
      "fos_yielding": 2.4304522029929845,
      "deflection": 0.005040277018422649,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001907)"
      },
      "parent_node_id": "node_1449",
      "improvement_over_parent": null
    },
    "node_1451": {
      "node_id": "node_1451",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n  Mass: 226.84 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.84395176397766,
      "fos_buckling": 1.03401647542605,
      "fos_yielding": 2.4295838462932675,
      "deflection": 0.005040808423158923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.560)"
      },
      "parent_node_id": "node_1450",
      "improvement_over_parent": null
    },
    "node_1452": {
      "node_id": "node_1452",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 240.59 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.59342023016507,
      "fos_buckling": 1.163031960898811,
      "fos_yielding": 2.4269461672149033,
      "deflection": 0.004481635326255234,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_1451",
      "improvement_over_parent": null
    },
    "node_1453": {
      "node_id": "node_1453",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0051)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M12: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 259.68 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.6831640049725,
      "fos_buckling": 1.2033089908349233,
      "fos_yielding": 2.659382601408089,
      "deflection": 0.004010587867612582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1452",
      "improvement_over_parent": null
    },
    "node_1454": {
      "node_id": "node_1454",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1453",
      "improvement_over_parent": null
    },
    "node_1455": {
      "node_id": "node_1455",
      "content": "INITIAL DESIGN (Trace 211)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n\nPerformance:\n  Mass: 0.00 kg\n  Factor of Safety: 0.00\n  Max Deflection: inf m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 0,
      "fos_buckling": 0,
      "fos_yielding": 0,
      "deflection": Infinity,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1456": {
      "node_id": "node_1456",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n\nPerformance:\n  Mass: 101.69 kg\n  Factor of Safety: 0.15\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": 101.69404823254915,
      "fos_buckling": 0.15179725629955404,
      "fos_yielding": 0.7982278715488592,
      "deflection": 0.01638354907813933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001563)"
      },
      "parent_node_id": "node_1455",
      "improvement_over_parent": null
    },
    "node_1457": {
      "node_id": "node_1457",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 123.49 kg\n  Factor of Safety: 0.18\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": 123.48727303856349,
      "fos_buckling": 0.1806640545407636,
      "fos_yielding": 0.9683124614807018,
      "deflection": 0.01350561001919792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1456",
      "improvement_over_parent": null
    },
    "node_1458": {
      "node_id": "node_1458",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n  Mass: 144.68 kg\n  Factor of Safety: 0.48\n  Max Deflection: 7.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.67573401177376,
      "fos_buckling": 0.47725164028576617,
      "fos_yielding": 1.5900063353654725,
      "deflection": 0.007885311011540849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)"
      },
      "parent_node_id": "node_1457",
      "improvement_over_parent": null
    },
    "node_1459": {
      "node_id": "node_1459",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n  Mass: 172.71 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.71338065351947,
      "fos_buckling": 0.5558851038053809,
      "fos_yielding": 1.8953579882414573,
      "deflection": 0.00661692406734339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_1458",
      "improvement_over_parent": null
    },
    "node_1460": {
      "node_id": "node_1460",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 218.18 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.18178446309773,
      "fos_buckling": 0.6740289531038848,
      "fos_yielding": 2.3886433611621687,
      "deflection": 0.005252978092446361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1459",
      "improvement_over_parent": null
    },
    "node_1461": {
      "node_id": "node_1461",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 236.22 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.2243206658454,
      "fos_buckling": 0.6723063016143228,
      "fos_yielding": 2.466779849007401,
      "deflection": 0.005094465363976574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1460",
      "improvement_over_parent": null
    },
    "node_1462": {
      "node_id": "node_1462",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.47944674773754,
      "fos_buckling": 1.5408551021346875,
      "fos_yielding": 2.6485986485337945,
      "deflection": 0.003960787468863893,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1461",
      "improvement_over_parent": null
    },
    "node_1463": {
      "node_id": "node_1463",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1462",
      "improvement_over_parent": null
    },
    "node_1464": {
      "node_id": "node_1464",
      "content": "INITIAL DESIGN (Trace 212)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0008)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n  Mass: 100.10 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 100.09749477556743,
      "fos_buckling": 0.5457266473848712,
      "fos_yielding": 1.0458043197535882,
      "deflection": 0.010100594148070826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1465": {
      "node_id": "node_1465",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 127.46 kg\n  Factor of Safety: 0.69\n  Max Deflection: 7.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.46430988500305,
      "fos_buckling": 0.6876033085481258,
      "fos_yielding": 1.3299774825963633,
      "deflection": 0.007944457209593667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_1464",
      "improvement_over_parent": null
    },
    "node_1466": {
      "node_id": "node_1466",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 154.94 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.9407334128851,
      "fos_buckling": 0.8268754765013742,
      "fos_yielding": 1.6145341785477079,
      "deflection": 0.006545929528131863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_1465",
      "improvement_over_parent": null
    },
    "node_1467": {
      "node_id": "node_1467",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 175.95 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.95395227319594,
      "fos_buckling": 0.9312380638019366,
      "fos_yielding": 1.831645582748227,
      "deflection": 0.0057711210790452085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.144)"
      },
      "parent_node_id": "node_1466",
      "improvement_over_parent": null
    },
    "node_1468": {
      "node_id": "node_1468",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 177.07 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.73e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.06518580194248,
      "fos_buckling": 1.1227225345374459,
      "fos_yielding": 1.8282635539665957,
      "deflection": 0.005732759971741733,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.506)"
      },
      "parent_node_id": "node_1467",
      "improvement_over_parent": null
    },
    "node_1469": {
      "node_id": "node_1469",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 209.16 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.16308948413274,
      "fos_buckling": 1.2963536640885671,
      "fos_yielding": 2.1565174906960856,
      "deflection": 0.004862027011545495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1468",
      "improvement_over_parent": null
    },
    "node_1470": {
      "node_id": "node_1470",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.36097328092075,
      "fos_buckling": 1.5400225790859798,
      "fos_yielding": 2.6476150872031003,
      "deflection": 0.003962473963642483,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_1469",
      "improvement_over_parent": null
    },
    "node_1471": {
      "node_id": "node_1471",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 213)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 193.82 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.54e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.81507382676327,
      "fos_buckling": 0.7693152579192789,
      "fos_yielding": 1.8756232973239906,
      "deflection": 0.0055418771287857535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1473": {
      "node_id": "node_1473",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 195.21 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.41e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.21343494915405,
      "fos_buckling": 0.7692222287842932,
      "fos_yielding": 1.9507111086373512,
      "deflection": 0.005407557140810864,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.235)"
      },
      "parent_node_id": "node_1472",
      "improvement_over_parent": null
    },
    "node_1474": {
      "node_id": "node_1474",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 209.92 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.92068156988444,
      "fos_buckling": 1.300284994272517,
      "fos_yielding": 2.1642557931467348,
      "deflection": 0.0048445046138060905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003554)"
      },
      "parent_node_id": "node_1473",
      "improvement_over_parent": null
    },
    "node_1475": {
      "node_id": "node_1475",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.33635260476035,
      "fos_buckling": 1.5398384514453936,
      "fos_yielding": 2.647367508320176,
      "deflection": 0.003962697507391031,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1474",
      "improvement_over_parent": null
    },
    "node_1476": {
      "node_id": "node_1476",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1475",
      "improvement_over_parent": null
    },
    "node_1477": {
      "node_id": "node_1477",
      "content": "INITIAL DESIGN (Trace 214)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 174.35 kg\n  Factor of Safety: 0.46\n  Max Deflection: 3.35e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.34773926972193,
      "fos_buckling": 0.4591037443577819,
      "fos_yielding": 1.755166266754598,
      "deflection": 3345193702998.157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1478": {
      "node_id": "node_1478",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n  Mass: 188.26 kg\n  Factor of Safety: 0.36\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": 188.25604975619763,
      "fos_buckling": 0.3648607242178507,
      "fos_yielding": 0.6940907856390945,
      "deflection": 0.01730023923795935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003347)"
      },
      "parent_node_id": "node_1477",
      "improvement_over_parent": null
    },
    "node_1479": {
      "node_id": "node_1479",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 244.17 kg\n  Factor of Safety: 0.45\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": 244.17040822400256,
      "fos_buckling": 0.4531438142448902,
      "fos_yielding": 0.8969334854715154,
      "deflection": 0.01338728229207009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.326)"
      },
      "parent_node_id": "node_1478",
      "improvement_over_parent": null
    },
    "node_1480": {
      "node_id": "node_1480",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 252.81 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.80727175165612,
      "fos_buckling": 0.92565502066224,
      "fos_yielding": 2.6297956046621156,
      "deflection": 0.00458055202964503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1479",
      "improvement_over_parent": null
    },
    "node_1481": {
      "node_id": "node_1481",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52409100101767,
      "fos_buckling": 1.540808171726578,
      "fos_yielding": 2.6493304039072116,
      "deflection": 0.003959968149397781,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1480",
      "improvement_over_parent": null
    },
    "node_1482": {
      "node_id": "node_1482",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1481",
      "improvement_over_parent": null
    },
    "node_1483": {
      "node_id": "node_1483",
      "content": "INITIAL DESIGN (Trace 215)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 151.56 kg\n  Factor of Safety: 0.04\n  Max Deflection: 3.69e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.56350059382638,
      "fos_buckling": 0.03889629246113933,
      "fos_yielding": 0.05484894583608119,
      "deflection": 368599221407186.25,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1484": {
      "node_id": "node_1484",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 152.38 kg\n  Factor of Safety: 0.08\n  Max Deflection: 1.43e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.37708991866518,
      "fos_buckling": 0.07872112191707695,
      "fos_yielding": 0.25073803810779977,
      "deflection": 14311675289641.229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.198)"
      },
      "parent_node_id": "node_1483",
      "improvement_over_parent": null
    },
    "node_1485": {
      "node_id": "node_1485",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n  Mass: 177.82 kg\n  Factor of Safety: 0.38\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": 177.81979891116228,
      "fos_buckling": 0.3752620727835252,
      "fos_yielding": 0.524048964627832,
      "deflection": 0.01894828108817299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004612)"
      },
      "parent_node_id": "node_1484",
      "improvement_over_parent": null
    },
    "node_1486": {
      "node_id": "node_1486",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 181.58 kg\n  Factor of Safety: 0.38\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": 181.57676431454442,
      "fos_buckling": 0.37522162236016293,
      "fos_yielding": 0.9437931816055901,
      "deflection": 0.014915116503620532,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002321)"
      },
      "parent_node_id": "node_1485",
      "improvement_over_parent": null
    },
    "node_1487": {
      "node_id": "node_1487",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 188.45 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.45404070055451,
      "fos_buckling": 0.9626330212740939,
      "fos_yielding": 1.9376437276746226,
      "deflection": 0.005623264204624255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003140)"
      },
      "parent_node_id": "node_1486",
      "improvement_over_parent": null
    },
    "node_1488": {
      "node_id": "node_1488",
      "content": "MODIFICATION: Increase 11 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n\nPerformance:\n  Mass: 192.36 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.59e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.3589313928732,
      "fos_buckling": 0.9623355660817037,
      "fos_yielding": 1.9370449925646998,
      "deflection": 0.005585219818558033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.395)"
      },
      "parent_node_id": "node_1487",
      "improvement_over_parent": null
    },
    "node_1489": {
      "node_id": "node_1489",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0042)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n  Mass: 207.56 kg\n  Factor of Safety: 1.08\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.56072153866387,
      "fos_buckling": 1.0795997074350936,
      "fos_yielding": 2.097283221213125,
      "deflection": 0.004908829622187519,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003565)"
      },
      "parent_node_id": "node_1488",
      "improvement_over_parent": null
    },
    "node_1490": {
      "node_id": "node_1490",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0054)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 260.37 kg\n  Factor of Safety: 1.33\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.3684837899427,
      "fos_buckling": 1.3261905595954642,
      "fos_yielding": 2.6263290465277076,
      "deflection": 0.003924377221841826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1489",
      "improvement_over_parent": null
    },
    "node_1491": {
      "node_id": "node_1491",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1490",
      "improvement_over_parent": null
    },
    "node_1492": {
      "node_id": "node_1492",
      "content": "INITIAL DESIGN (Trace 216)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.05 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.05227457214133,
      "fos_buckling": 1.2512837562560057,
      "fos_yielding": 2.4265674771714276,
      "deflection": 0.004084931711970783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1493": {
      "node_id": "node_1493",
      "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.37 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.36996947077793,
      "fos_buckling": 1.2636174385016572,
      "fos_yielding": 2.425549778438219,
      "deflection": 0.004060671112350693,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.425)"
      },
      "parent_node_id": "node_1492",
      "improvement_over_parent": null
    },
    "node_1494": {
      "node_id": "node_1494",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.90 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.89805508834107,
      "fos_buckling": 1.4533284350698548,
      "fos_yielding": 2.6403777344183004,
      "deflection": 0.00398681743874501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.209)"
      },
      "parent_node_id": "node_1493",
      "improvement_over_parent": null
    },
    "node_1495": {
      "node_id": "node_1495",
      "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52408339190396,
      "fos_buckling": 1.540842493011781,
      "fos_yielding": 2.6493033310617764,
      "deflection": 0.0039601655084353935,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.214)"
      },
      "parent_node_id": "node_1494",
      "improvement_over_parent": null
    },
    "node_1496": {
      "node_id": "node_1496",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1495",
      "improvement_over_parent": null
    },
    "node_1497": {
      "node_id": "node_1497",
      "content": "INITIAL DESIGN (Trace 217)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 224.43 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.4297564124726,
      "fos_buckling": 0.9059964430453902,
      "fos_yielding": 2.348894141045968,
      "deflection": 0.004946941352846468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1498": {
      "node_id": "node_1498",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 230.99 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.98854460062222,
      "fos_buckling": 0.9055270609810051,
      "fos_yielding": 2.347677217084059,
      "deflection": 0.004878211480090734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1497",
      "improvement_over_parent": null
    },
    "node_1499": {
      "node_id": "node_1499",
      "content": "MODIFICATION: Increase 18 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 242.24 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.24242669922424,
      "fos_buckling": 0.9053660954170126,
      "fos_yielding": 2.3472598963836586,
      "deflection": 0.004782156523233706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.621)"
      },
      "parent_node_id": "node_1498",
      "improvement_over_parent": null
    },
    "node_1500": {
      "node_id": "node_1500",
      "content": "MODIFICATION: Increase 8 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 244.80 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.7990053028939,
      "fos_buckling": 0.9051467853362059,
      "fos_yielding": 2.346691311189055,
      "deflection": 0.00474143317776903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.531)"
      },
      "parent_node_id": "node_1499",
      "improvement_over_parent": null
    },
    "node_1501": {
      "node_id": "node_1501",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 249.80 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.80223191156023,
      "fos_buckling": 1.0894881620167303,
      "fos_yielding": 2.641598790474851,
      "deflection": 0.004122065584650796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1500",
      "improvement_over_parent": null
    },
    "node_1502": {
      "node_id": "node_1502",
      "content": "MODIFICATION: Increase 13 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0063)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 256.10 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.09764485524994,
      "fos_buckling": 1.0289874639493404,
      "fos_yielding": 2.635552335395382,
      "deflection": 0.004087486774591024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.377)"
      },
      "parent_node_id": "node_1501",
      "improvement_over_parent": null
    },
    "node_1503": {
      "node_id": "node_1503",
      "content": "MODIFICATION: Increase 8 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0054)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0063)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 260.46 kg\n  Factor of Safety: 0.99\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.46465609881506,
      "fos_buckling": 0.9895147993336058,
      "fos_yielding": 2.6506621431143245,
      "deflection": 0.004112035430545155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.656)"
      },
      "parent_node_id": "node_1502",
      "improvement_over_parent": null
    },
    "node_1504": {
      "node_id": "node_1504",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1503",
      "improvement_over_parent": null
    },
    "node_1505": {
      "node_id": "node_1505",
      "content": "INITIAL DESIGN (Trace 218)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 139.14 kg\n  Factor of Safety: 0.04\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": 139.13662820325874,
      "fos_buckling": 0.04045274204494878,
      "fos_yielding": 0.5065998341761206,
      "deflection": 0.03173520413309513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1506": {
      "node_id": "node_1506",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 164.01 kg\n  Factor of Safety: 0.05\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": 164.00568658965466,
      "fos_buckling": 0.046647678101334016,
      "fos_yielding": 0.5968378777968755,
      "deflection": 0.026948651665601796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1505",
      "improvement_over_parent": null
    },
    "node_1507": {
      "node_id": "node_1507",
      "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 165.21 kg\n  Factor of Safety: 0.05\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": 165.20956083589272,
      "fos_buckling": 0.04664767810133404,
      "fos_yielding": 0.5968378777968758,
      "deflection": 0.026966379517977476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.208)"
      },
      "parent_node_id": "node_1506",
      "improvement_over_parent": null
    },
    "node_1508": {
      "node_id": "node_1508",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 171.64 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.84e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.63612104901677,
      "fos_buckling": 0.21575302299270954,
      "fos_yielding": 1.1952487536443142,
      "deflection": 0.009840871802958966,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002615)"
      },
      "parent_node_id": "node_1507",
      "improvement_over_parent": null
    },
    "node_1509": {
      "node_id": "node_1509",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 209.54 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.08e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.53936315238124,
      "fos_buckling": 0.25524677187012,
      "fos_yielding": 1.456265255092513,
      "deflection": 0.008075976402524544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_1508",
      "improvement_over_parent": null
    },
    "node_1510": {
      "node_id": "node_1510",
      "content": "MODIFICATION: Increase 17 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 219.88 kg\n  Factor of Safety: 0.25\n  Max Deflection: 8.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.8763832571495,
      "fos_buckling": 0.25186940964265003,
      "fos_yielding": 1.4560271754590592,
      "deflection": 0.008024858462193196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.567)"
      },
      "parent_node_id": "node_1509",
      "improvement_over_parent": null
    },
    "node_1511": {
      "node_id": "node_1511",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 229.85 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.11e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.84813665584517,
      "fos_buckling": 0.2683591521228586,
      "fos_yielding": 1.45510923710712,
      "deflection": 0.00810886971578252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1510",
      "improvement_over_parent": null
    },
    "node_1512": {
      "node_id": "node_1512",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0076)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 261.80 kg\n  Factor of Safety: 1.51\n  Max Deflection: 3.93e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 261.79807902958265,
      "fos_buckling": 1.5127504068655189,
      "fos_yielding": 2.6459079840701127,
      "deflection": 0.003934466202589976,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1511",
      "improvement_over_parent": null
    },
    "node_1513": {
      "node_id": "node_1513",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 219)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 172.59 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.59e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.58986807938575,
      "fos_buckling": 0.7907137590525797,
      "fos_yielding": 1.9254917619802878,
      "deflection": 0.006594763347435933,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1515": {
      "node_id": "node_1515",
      "content": "MODIFICATION: Increase 13 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 175.95 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.94936173688504,
      "fos_buckling": 0.7905033105968954,
      "fos_yielding": 1.9253891075175584,
      "deflection": 0.006598243976378906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.458)"
      },
      "parent_node_id": "node_1514",
      "improvement_over_parent": null
    },
    "node_1516": {
      "node_id": "node_1516",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 191.55 kg\n  Factor of Safety: 0.54\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.55101008830295,
      "fos_buckling": 0.5411072150938796,
      "fos_yielding": 1.626550323734778,
      "deflection": 0.005016633505216457,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003666)"
      },
      "parent_node_id": "node_1515",
      "improvement_over_parent": null
    },
    "node_1517": {
      "node_id": "node_1517",
      "content": "MODIFICATION: Increase 12 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 197.35 kg\n  Factor of Safety: 0.69\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.34589629109945,
      "fos_buckling": 0.6871394736314196,
      "fos_yielding": 1.6490567741799378,
      "deflection": 0.004920359661238486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.307)"
      },
      "parent_node_id": "node_1516",
      "improvement_over_parent": null
    },
    "node_1518": {
      "node_id": "node_1518",
      "content": "MODIFICATION: Increase 1 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 199.20 kg\n  Factor of Safety: 0.60\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.1974422300601,
      "fos_buckling": 0.6048334583823919,
      "fos_yielding": 2.0968283191606574,
      "deflection": 0.004733776028774506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.302)"
      },
      "parent_node_id": "node_1517",
      "improvement_over_parent": null
    },
    "node_1519": {
      "node_id": "node_1519",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 205.61 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.60575238946817,
      "fos_buckling": 1.2488831849794322,
      "fos_yielding": 2.168656091473515,
      "deflection": 0.004910227074015731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002607)"
      },
      "parent_node_id": "node_1518",
      "improvement_over_parent": null
    },
    "node_1520": {
      "node_id": "node_1520",
      "content": "MODIFICATION: Increase 19 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 213.07 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.0736892023826,
      "fos_buckling": 1.2480280335557186,
      "fos_yielding": 2.1612976766546548,
      "deflection": 0.00485398688730362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.538)"
      },
      "parent_node_id": "node_1519",
      "improvement_over_parent": null
    },
    "node_1521": {
      "node_id": "node_1521",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0070)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 260.39 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.3913497147734,
      "fos_buckling": 1.4739048603463731,
      "fos_yielding": 2.6380801279088355,
      "deflection": 0.003979354693116562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1520",
      "improvement_over_parent": null
    },
    "node_1522": {
      "node_id": "node_1522",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 220)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 193.10 kg\n  Factor of Safety: 0.88\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.09968843477006,
      "fos_buckling": 0.880050880133128,
      "fos_yielding": 2.159916759249575,
      "deflection": 0.004847114643079186,
      "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 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 194.29 kg\n  Factor of Safety: 0.88\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.29048529131296,
      "fos_buckling": 0.8801848839694849,
      "fos_yielding": 2.1597692356463427,
      "deflection": 0.004837127345210135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.314)"
      },
      "parent_node_id": "node_1523",
      "improvement_over_parent": null
    },
    "node_1525": {
      "node_id": "node_1525",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.17 kg\n  Factor of Safety: 1.10\n  Max Deflection: 3.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.16867853857758,
      "fos_buckling": 1.101279664330763,
      "fos_yielding": 2.71720841731085,
      "deflection": 0.0038482002904785453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1524",
      "improvement_over_parent": null
    },
    "node_1526": {
      "node_id": "node_1526",
      "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.35 kg\n  Factor of Safety: 1.10\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.3537718541187,
      "fos_buckling": 1.1012796643307636,
      "fos_yielding": 2.71720841731085,
      "deflection": 0.0038228158578409066,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.279)"
      },
      "parent_node_id": "node_1525",
      "improvement_over_parent": null
    },
    "node_1527": {
      "node_id": "node_1527",
      "content": "MODIFICATION: Increase 9 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.49 kg\n  Factor of Safety: 1.25\n  Max Deflection: 3.85e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.48506419858978,
      "fos_buckling": 1.245987469719188,
      "fos_yielding": 2.7170325827349835,
      "deflection": 0.003850931614884615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.276)"
      },
      "parent_node_id": "node_1526",
      "improvement_over_parent": null
    },
    "node_1528": {
      "node_id": "node_1528",
      "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.83 kg\n  Factor of Safety: 1.43\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.82711763824238,
      "fos_buckling": 1.4349983467062757,
      "fos_yielding": 2.71666863422344,
      "deflection": 0.0038901756461258387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.468)"
      },
      "parent_node_id": "node_1527",
      "improvement_over_parent": null
    },
    "node_1529": {
      "node_id": "node_1529",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.385905826392,
      "fos_buckling": 1.5401421093246046,
      "fos_yielding": 2.6479370350057803,
      "deflection": 0.0039620156762908,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1528",
      "improvement_over_parent": null
    },
    "node_1530": {
      "node_id": "node_1530",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1529",
      "improvement_over_parent": null
    },
    "node_1531": {
      "node_id": "node_1531",
      "content": "INITIAL DESIGN (Trace 221)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 187.76 kg\n  Factor of Safety: 1.17\n  Max Deflection: 5.32e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.7591325431486,
      "fos_buckling": 1.1683518772251082,
      "fos_yielding": 2.056789836107223,
      "deflection": 0.005319046327280084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1532": {
      "node_id": "node_1532",
      "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 190.27 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.28e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.26577520594682,
      "fos_buckling": 1.1634197050834931,
      "fos_yielding": 2.052905235385423,
      "deflection": 0.0052821022954431095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.429)"
      },
      "parent_node_id": "node_1531",
      "improvement_over_parent": null
    },
    "node_1533": {
      "node_id": "node_1533",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 210.40 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.39514060041927,
      "fos_buckling": 1.271632044987202,
      "fos_yielding": 2.2673522656443175,
      "deflection": 0.00478246871676944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1532",
      "improvement_over_parent": null
    },
    "node_1534": {
      "node_id": "node_1534",
      "content": "MODIFICATION: Increase 14 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 212.87 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.8697274386447,
      "fos_buckling": 1.2494441510909795,
      "fos_yielding": 2.262761473532861,
      "deflection": 0.004748206948681582,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.238)"
      },
      "parent_node_id": "node_1533",
      "improvement_over_parent": null
    },
    "node_1535": {
      "node_id": "node_1535",
      "content": "MODIFICATION: Increase 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 215.48 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.4783583519453,
      "fos_buckling": 1.2321912619923074,
      "fos_yielding": 2.259031606913839,
      "deflection": 0.0047206645474767335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.208)"
      },
      "parent_node_id": "node_1534",
      "improvement_over_parent": null
    },
    "node_1536": {
      "node_id": "node_1536",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.75 kg\n  Factor of Safety: 1.43\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.75333415144956,
      "fos_buckling": 1.4255211482196297,
      "fos_yielding": 2.66538044836514,
      "deflection": 0.004001787542735983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_1535",
      "improvement_over_parent": null
    },
    "node_1537": {
      "node_id": "node_1537",
      "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.457672407329,
      "fos_buckling": 1.5405048515149888,
      "fos_yielding": 2.6486091108280294,
      "deflection": 0.003961044524047715,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.269)"
      },
      "parent_node_id": "node_1536",
      "improvement_over_parent": null
    },
    "node_1538": {
      "node_id": "node_1538",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1537",
      "improvement_over_parent": null
    },
    "node_1539": {
      "node_id": "node_1539",
      "content": "INITIAL DESIGN (Trace 222)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 132.90 kg\n  Factor of Safety: 0.80\n  Max Deflection: 9.46e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.89868769325793,
      "fos_buckling": 0.797148769495025,
      "fos_yielding": 1.6783608118654831,
      "deflection": 9456676458029.133,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1540": {
      "node_id": "node_1540",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 145.83 kg\n  Factor of Safety: 0.19\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": 145.8282606011987,
      "fos_buckling": 0.1875749593571433,
      "fos_yielding": 0.9888818288486976,
      "deflection": 0.01204870416405018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002999)"
      },
      "parent_node_id": "node_1539",
      "improvement_over_parent": null
    },
    "node_1541": {
      "node_id": "node_1541",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 175.73 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.7259995454166,
      "fos_buckling": 0.22054449058425554,
      "fos_yielding": 1.1895070823450928,
      "deflection": 0.010015066183576837,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1540",
      "improvement_over_parent": null
    },
    "node_1542": {
      "node_id": "node_1542",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n  Mass: 201.77 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.77320751900737,
      "fos_buckling": 1.0427405542947252,
      "fos_yielding": 2.1863109574186605,
      "deflection": 0.005024298968765499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004730)"
      },
      "parent_node_id": "node_1541",
      "improvement_over_parent": null
    },
    "node_1543": {
      "node_id": "node_1543",
      "content": "MODIFICATION: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0071)]\n\nPerformance:\n  Mass: 213.65 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.6452680520673,
      "fos_buckling": 1.0433248184506265,
      "fos_yielding": 2.1967297584794916,
      "deflection": 0.004870553911793454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.511)"
      },
      "parent_node_id": "node_1542",
      "improvement_over_parent": null
    },
    "node_1544": {
      "node_id": "node_1544",
      "content": "MODIFICATION: Increase 15 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0071)]\n\nPerformance:\n  Mass: 218.30 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.2998080554093,
      "fos_buckling": 1.030556102193694,
      "fos_yielding": 2.1926235313331413,
      "deflection": 0.004839371359755492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.350)"
      },
      "parent_node_id": "node_1543",
      "improvement_over_parent": null
    },
    "node_1545": {
      "node_id": "node_1545",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0060)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0089)]\n\nPerformance:\n  Mass: 267.10 kg\n  Factor of Safety: 1.24\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 267.1045465289985,
      "fos_buckling": 1.2369899517576268,
      "fos_yielding": 2.6811831059719107,
      "deflection": 0.0039598676803728515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_1544",
      "improvement_over_parent": null
    },
    "node_1546": {
      "node_id": "node_1546",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1545",
      "improvement_over_parent": null
    },
    "node_1547": {
      "node_id": "node_1547",
      "content": "INITIAL DESIGN (Trace 223)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.22 kg\n  Factor of Safety: 0.17\n  Max Deflection: 9.60e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.22177404200042,
      "fos_buckling": 0.16726201649446928,
      "fos_yielding": 1.131052595498261,
      "deflection": 9598199524519.848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1548": {
      "node_id": "node_1548",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 227.94 kg\n  Factor of Safety: 0.25\n  Max Deflection: 6.86e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.938593291362,
      "fos_buckling": 0.25123914568720995,
      "fos_yielding": 1.2596203959136516,
      "deflection": 6861281691932.919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1547",
      "improvement_over_parent": null
    },
    "node_1549": {
      "node_id": "node_1549",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 248.89 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.89477729817762,
      "fos_buckling": 0.4531337455483198,
      "fos_yielding": 1.4750373997352497,
      "deflection": 0.011116622401704919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1548",
      "improvement_over_parent": null
    },
    "node_1550": {
      "node_id": "node_1550",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5316408258312,
      "fos_buckling": 1.5408263416567842,
      "fos_yielding": 2.6493682972572437,
      "deflection": 0.003959881908449345,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1549",
      "improvement_over_parent": null
    },
    "node_1551": {
      "node_id": "node_1551",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1550",
      "improvement_over_parent": null
    },
    "node_1552": {
      "node_id": "node_1552",
      "content": "INITIAL DESIGN (Trace 224)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0017)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 141.83 kg\n  Factor of Safety: 0.62\n  Max Deflection: 7.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.82765656202753,
      "fos_buckling": 0.6187646975226081,
      "fos_yielding": 1.2451210221893476,
      "deflection": 0.0078293993507808,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1553": {
      "node_id": "node_1553",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 183.91 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.91041093310028,
      "fos_buckling": 0.7746249768993844,
      "fos_yielding": 1.618898195857537,
      "deflection": 0.0060489300772549135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_1552",
      "improvement_over_parent": null
    },
    "node_1554": {
      "node_id": "node_1554",
      "content": "MODIFICATION: Increase 6 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 186.07 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.0714892387062,
      "fos_buckling": 0.7743859163906474,
      "fos_yielding": 2.112166501818967,
      "deflection": 0.005789619312482365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.486)"
      },
      "parent_node_id": "node_1553",
      "improvement_over_parent": null
    },
    "node_1555": {
      "node_id": "node_1555",
      "content": "MODIFICATION: Increase 18 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 192.42 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.41999729147471,
      "fos_buckling": 0.7736844911244144,
      "fos_yielding": 2.1179755629859414,
      "deflection": 0.0056821932261515076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.650)"
      },
      "parent_node_id": "node_1554",
      "improvement_over_parent": null
    },
    "node_1556": {
      "node_id": "node_1556",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n\nPerformance:\n  Mass: 206.86 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.86333904655595,
      "fos_buckling": 1.284260473853919,
      "fos_yielding": 2.133169626005826,
      "deflection": 0.004915417565991765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003491)"
      },
      "parent_node_id": "node_1555",
      "improvement_over_parent": null
    },
    "node_1557": {
      "node_id": "node_1557",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.54612448693905,
      "fos_buckling": 1.5409675836053907,
      "fos_yielding": 2.649665866723219,
      "deflection": 0.00395966057446788,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1556",
      "improvement_over_parent": null
    },
    "node_1558": {
      "node_id": "node_1558",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1557",
      "improvement_over_parent": null
    },
    "node_1559": {
      "node_id": "node_1559",
      "content": "INITIAL DESIGN (Trace 225)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 160.07 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.83e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.06829533150866,
      "fos_buckling": 0.129104768421855,
      "fos_yielding": 0.5850554222515326,
      "deflection": 18312247380536.402,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1560": {
      "node_id": "node_1560",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 164.29 kg\n  Factor of Safety: 0.04\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": 164.28724838899504,
      "fos_buckling": 0.04267753553613913,
      "fos_yielding": 0.5482958495667984,
      "deflection": 0.02277325674527412,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002542)"
      },
      "parent_node_id": "node_1559",
      "improvement_over_parent": null
    },
    "node_1561": {
      "node_id": "node_1561",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 172.35 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.02e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.3524965161969,
      "fos_buckling": 0.22261392857490994,
      "fos_yielding": 1.2294301356015855,
      "deflection": 0.010169222734471425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003515)"
      },
      "parent_node_id": "node_1560",
      "improvement_over_parent": null
    },
    "node_1562": {
      "node_id": "node_1562",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 204.56 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.56472496046553,
      "fos_buckling": 0.25673502117272007,
      "fos_yielding": 1.4568474182521265,
      "deflection": 0.008580613695078012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_1561",
      "improvement_over_parent": null
    },
    "node_1563": {
      "node_id": "node_1563",
      "content": "MODIFICATION: Increase 17 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 205.58 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.58301019680476,
      "fos_buckling": 0.25671835704243245,
      "fos_yielding": 1.522098563559205,
      "deflection": 0.008427504124938855,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.229)"
      },
      "parent_node_id": "node_1562",
      "improvement_over_parent": null
    },
    "node_1564": {
      "node_id": "node_1564",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 237.53 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.45e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.53295257054228,
      "fos_buckling": 0.9125377028627629,
      "fos_yielding": 2.38942594263441,
      "deflection": 0.004452641189871163,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1563",
      "improvement_over_parent": null
    },
    "node_1565": {
      "node_id": "node_1565",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0038)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 255.58 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.57548877328995,
      "fos_buckling": 1.5331233701821732,
      "fos_yielding": 2.648251108706854,
      "deflection": 0.003976300844114647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1564",
      "improvement_over_parent": null
    },
    "node_1566": {
      "node_id": "node_1566",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1565",
      "improvement_over_parent": null
    },
    "node_1567": {
      "node_id": "node_1567",
      "content": "INITIAL DESIGN (Trace 226)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 223.95 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.9539733362462,
      "fos_buckling": 0.6663395099065278,
      "fos_yielding": 2.3226035003881065,
      "deflection": 0.004239422834632598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1568": {
      "node_id": "node_1568",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 231.06 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.40e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.05642108294336,
      "fos_buckling": 1.2446458155599418,
      "fos_yielding": 2.4020688463176247,
      "deflection": 0.004398565497931483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002914)"
      },
      "parent_node_id": "node_1567",
      "improvement_over_parent": null
    },
    "node_1569": {
      "node_id": "node_1569",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.04 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.04457248431683,
      "fos_buckling": 1.3556477193320442,
      "fos_yielding": 2.648322407657196,
      "deflection": 0.003990453801882537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_1568",
      "improvement_over_parent": null
    },
    "node_1570": {
      "node_id": "node_1570",
      "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0078)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 264.26 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.2585208712998,
      "fos_buckling": 1.354022666767875,
      "fos_yielding": 2.6577093267992202,
      "deflection": 0.0039041865782450946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.328)"
      },
      "parent_node_id": "node_1569",
      "improvement_over_parent": null
    },
    "node_1571": {
      "node_id": "node_1571",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1570",
      "improvement_over_parent": null
    },
    "node_1572": {
      "node_id": "node_1572",
      "content": "INITIAL DESIGN (Trace 227)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 114.43 kg\n  Factor of Safety: 0.02\n  Max Deflection: 3.44e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 114.4258823347886,
      "fos_buckling": 0.02496885655243067,
      "fos_yielding": 0.30065650507287917,
      "deflection": 0.03443309168495225,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1573": {
      "node_id": "node_1573",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n\nPerformance:\n  Mass: 118.84 kg\n  Factor of Safety: 0.78\n  Max Deflection: 8.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.83853927789545,
      "fos_buckling": 0.7844437580354262,
      "fos_yielding": 1.2303476822412518,
      "deflection": 0.008512917035484598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.001858)"
      },
      "parent_node_id": "node_1572",
      "improvement_over_parent": null
    },
    "node_1574": {
      "node_id": "node_1574",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n\nPerformance:\n  Mass: 146.58 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.5773141126735,
      "fos_buckling": 0.9493532029744718,
      "fos_yielding": 1.5156001457040995,
      "deflection": 0.006913014091880393,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1573",
      "improvement_over_parent": null
    },
    "node_1575": {
      "node_id": "node_1575",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n  Mass: 183.62 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.61854650635644,
      "fos_buckling": 1.1589096476902447,
      "fos_yielding": 1.8953852812803669,
      "deflection": 0.005530299455161459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_1574",
      "improvement_over_parent": null
    },
    "node_1576": {
      "node_id": "node_1576",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n\nPerformance:\n  Mass: 230.33 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.3297806410915,
      "fos_buckling": 1.4058758230542652,
      "fos_yielding": 2.372485297977163,
      "deflection": 0.004420651649599944,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_1575",
      "improvement_over_parent": null
    },
    "node_1577": {
      "node_id": "node_1577",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3709126024904,
      "fos_buckling": 1.5400659980247358,
      "fos_yielding": 2.6477492831213296,
      "deflection": 0.003962355941079705,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_1576",
      "improvement_over_parent": null
    },
    "node_1578": {
      "node_id": "node_1578",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1577",
      "improvement_over_parent": null
    },
    "node_1579": {
      "node_id": "node_1579",
      "content": "INITIAL DESIGN (Trace 228)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.25 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.24690056071256,
      "fos_buckling": 1.2904664878902092,
      "fos_yielding": 2.461271336833427,
      "deflection": 0.004144414450404245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1580": {
      "node_id": "node_1580",
      "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.51 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.50839594380403,
      "fos_buckling": 1.289948694107739,
      "fos_yielding": 2.4602837629544116,
      "deflection": 0.004125505073045341,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.370)"
      },
      "parent_node_id": "node_1579",
      "improvement_over_parent": null
    },
    "node_1581": {
      "node_id": "node_1581",
      "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.47 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.46765590331088,
      "fos_buckling": 1.2984769773379123,
      "fos_yielding": 2.4765495236415727,
      "deflection": 0.0040735134782994105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.418)"
      },
      "parent_node_id": "node_1580",
      "improvement_over_parent": null
    },
    "node_1582": {
      "node_id": "node_1582",
      "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50956723261976,
      "fos_buckling": 1.5408175014886325,
      "fos_yielding": 2.6493732168914113,
      "deflection": 0.003960204741767372,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.340)"
      },
      "parent_node_id": "node_1581",
      "improvement_over_parent": null
    },
    "node_1583": {
      "node_id": "node_1583",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1582",
      "improvement_over_parent": null
    },
    "node_1584": {
      "node_id": "node_1584",
      "content": "INITIAL DESIGN (Trace 229)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0015)]\n\nPerformance:\n  Mass: 132.99 kg\n  Factor of Safety: 0.63\n  Max Deflection: 7.96e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.99451184108054,
      "fos_buckling": 0.6283115311941542,
      "fos_yielding": 1.1218421209602456,
      "deflection": 0.0079626669559648,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1585": {
      "node_id": "node_1585",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n  Mass: 160.44 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.43831209061742,
      "fos_buckling": 0.7500339466407,
      "fos_yielding": 1.355210656189545,
      "deflection": 0.006607502876866731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1584",
      "improvement_over_parent": null
    },
    "node_1586": {
      "node_id": "node_1586",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 192.52 kg\n  Factor of Safety: 0.89\n  Max Deflection: 5.51e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.5237003680807,
      "fos_buckling": 0.8889163118441714,
      "fos_yielding": 1.6291045059534246,
      "deflection": 0.005512877194864339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1585",
      "improvement_over_parent": null
    },
    "node_1587": {
      "node_id": "node_1587",
      "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 194.93 kg\n  Factor of Safety: 0.90\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.93065539492454,
      "fos_buckling": 0.8974887037999716,
      "fos_yielding": 2.1044020095126195,
      "deflection": 0.005213103506705874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.541)"
      },
      "parent_node_id": "node_1586",
      "improvement_over_parent": null
    },
    "node_1588": {
      "node_id": "node_1588",
      "content": "MODIFICATION: Increase 20 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 201.37 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.36985730789354,
      "fos_buckling": 1.0428368950324736,
      "fos_yielding": 2.1016972740596147,
      "deflection": 0.005039188026790622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.664)"
      },
      "parent_node_id": "node_1587",
      "improvement_over_parent": null
    },
    "node_1589": {
      "node_id": "node_1589",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.43 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.4301314253875,
      "fos_buckling": 1.2837388127406808,
      "fos_yielding": 2.6484868558909183,
      "deflection": 0.004000638572391655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_1588",
      "improvement_over_parent": null
    },
    "node_1590": {
      "node_id": "node_1590",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5720080942759,
      "fos_buckling": 1.5410475481805195,
      "fos_yielding": 2.6498098525865035,
      "deflection": 0.003959449465971241,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.451)"
      },
      "parent_node_id": "node_1589",
      "improvement_over_parent": null
    },
    "node_1591": {
      "node_id": "node_1591",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1590",
      "improvement_over_parent": null
    },
    "node_1592": {
      "node_id": "node_1592",
      "content": "INITIAL DESIGN (Trace 230)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 208.88 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.88187663425538,
      "fos_buckling": 1.2084056636577116,
      "fos_yielding": 1.8804233644715407,
      "deflection": 0.004912227252918425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1593": {
      "node_id": "node_1593",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.59 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.58800251685514,
      "fos_buckling": 1.3937176142429835,
      "fos_yielding": 2.2302612879039456,
      "deflection": 0.004151860291911432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_1592",
      "improvement_over_parent": null
    },
    "node_1594": {
      "node_id": "node_1594",
      "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.33 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.32533109959053,
      "fos_buckling": 1.3984912042911872,
      "fos_yielding": 2.6623363310105237,
      "deflection": 0.004039244240139185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.222)"
      },
      "parent_node_id": "node_1593",
      "improvement_over_parent": null
    },
    "node_1595": {
      "node_id": "node_1595",
      "content": "MODIFICATION: Increase 17 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.05 kg\n  Factor of Safety: 1.49\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.04942041250897,
      "fos_buckling": 1.4931843828964997,
      "fos_yielding": 2.6546962125177913,
      "deflection": 0.003994950141742706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.404)"
      },
      "parent_node_id": "node_1594",
      "improvement_over_parent": null
    },
    "node_1596": {
      "node_id": "node_1596",
      "content": "MODIFICATION: Increase 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52631499817056,
      "fos_buckling": 1.5407792038478467,
      "fos_yielding": 2.648390102281638,
      "deflection": 0.003960173369894439,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.362)"
      },
      "parent_node_id": "node_1595",
      "improvement_over_parent": null
    },
    "node_1597": {
      "node_id": "node_1597",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1596",
      "improvement_over_parent": null
    },
    "node_1598": {
      "node_id": "node_1598",
      "content": "INITIAL DESIGN (Trace 231)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 181.46 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.55e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.45859372038785,
      "fos_buckling": 1.151746443435764,
      "fos_yielding": 1.8908007071731283,
      "deflection": 0.005548736435301608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1599": {
      "node_id": "node_1599",
      "content": "MODIFICATION: Increase 16 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 182.56 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.56e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.55904881823864,
      "fos_buckling": 1.15308455723751,
      "fos_yielding": 1.8845686651748073,
      "deflection": 0.005561913280262858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.330)"
      },
      "parent_node_id": "node_1598",
      "improvement_over_parent": null
    },
    "node_1600": {
      "node_id": "node_1600",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 215.57 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.56505590414804,
      "fos_buckling": 1.3298930630141508,
      "fos_yielding": 2.221934403291671,
      "deflection": 0.004719297026787472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1599",
      "improvement_over_parent": null
    },
    "node_1601": {
      "node_id": "node_1601",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5676943482409,
      "fos_buckling": 1.5410186276945657,
      "fos_yielding": 2.649788554267444,
      "deflection": 0.003959276441253048,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_1600",
      "improvement_over_parent": null
    },
    "node_1602": {
      "node_id": "node_1602",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1601",
      "improvement_over_parent": null
    },
    "node_1603": {
      "node_id": "node_1603",
      "content": "INITIAL DESIGN (Trace 232)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 119.35 kg\n  Factor of Safety: 0.14\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": 119.35249107871563,
      "fos_buckling": 0.14344692713359863,
      "fos_yielding": 0.7934319492999695,
      "deflection": 0.015207372853861494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1604": {
      "node_id": "node_1604",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 137.34 kg\n  Factor of Safety: 0.16\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": 137.33591577025217,
      "fos_buckling": 0.162507769800402,
      "fos_yielding": 0.9127759777337546,
      "deflection": 0.01322497598143244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_1603",
      "improvement_over_parent": null
    },
    "node_1605": {
      "node_id": "node_1605",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 141.88 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.22e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.87654692627942,
      "fos_buckling": 0.19719499532271356,
      "fos_yielding": 1.0105187906556703,
      "deflection": 0.012246293461656323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001799)"
      },
      "parent_node_id": "node_1604",
      "improvement_over_parent": null
    },
    "node_1606": {
      "node_id": "node_1606",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 143.73 kg\n  Factor of Safety: 0.20\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": 143.7253025984337,
      "fos_buckling": 0.1979282905198933,
      "fos_yielding": 1.0104299153270526,
      "deflection": 0.012083064128647377,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.475)"
      },
      "parent_node_id": "node_1605",
      "improvement_over_parent": null
    },
    "node_1607": {
      "node_id": "node_1607",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n\nPerformance:\n  Mass: 165.84 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.83850927838444,
      "fos_buckling": 0.6811241708704568,
      "fos_yielding": 1.8277295983755857,
      "deflection": 0.00658204164239372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003970)"
      },
      "parent_node_id": "node_1606",
      "improvement_over_parent": null
    },
    "node_1608": {
      "node_id": "node_1608",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n\nPerformance:\n  Mass: 183.80 kg\n  Factor of Safety: 0.74\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.8016125102915,
      "fos_buckling": 0.744178131802515,
      "fos_yielding": 2.0239720268282646,
      "deflection": 0.005945186348999503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1607",
      "improvement_over_parent": null
    },
    "node_1609": {
      "node_id": "node_1609",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 239.57 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.5662094483909,
      "fos_buckling": 0.926819539176272,
      "fos_yielding": 2.63105464249859,
      "deflection": 0.00457658270703452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_1608",
      "improvement_over_parent": null
    },
    "node_1610": {
      "node_id": "node_1610",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5555740150508,
      "fos_buckling": 1.5406667281968334,
      "fos_yielding": 2.6497290148400685,
      "deflection": 0.003959352493694773,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1609",
      "improvement_over_parent": null
    },
    "node_1611": {
      "node_id": "node_1611",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1610",
      "improvement_over_parent": null
    },
    "node_1612": {
      "node_id": "node_1612",
      "content": "INITIAL DESIGN (Trace 233)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0008)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n  Mass: 98.80 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 98.79535701024128,
      "fos_buckling": 0.5497450821835431,
      "fos_yielding": 1.0545441542961924,
      "deflection": 0.010079291854103604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1613": {
      "node_id": "node_1613",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 125.98 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.97896913883723,
      "fos_buckling": 0.6950382994071346,
      "fos_yielding": 1.3429046328067034,
      "deflection": 0.007917373066702154,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_1612",
      "improvement_over_parent": null
    },
    "node_1614": {
      "node_id": "node_1614",
      "content": "MODIFICATION: Increase 15 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 126.67 kg\n  Factor of Safety: 0.73\n  Max Deflection: 7.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.66765988200949,
      "fos_buckling": 0.7304544444748237,
      "fos_yielding": 1.3383090558699275,
      "deflection": 0.007935796327982572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.274)"
      },
      "parent_node_id": "node_1613",
      "improvement_over_parent": null
    },
    "node_1615": {
      "node_id": "node_1615",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 165.90 kg\n  Factor of Safety: 0.93\n  Max Deflection: 6.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.90484284376612,
      "fos_buckling": 0.93135932663421,
      "fos_yielding": 1.7497145939258194,
      "deflection": 0.0060726351125989795,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1614",
      "improvement_over_parent": null
    },
    "node_1616": {
      "node_id": "node_1616",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 170.29 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.29237089724697,
      "fos_buckling": 1.0849456853163488,
      "fos_yielding": 1.7589639046471282,
      "deflection": 0.005958236840078046,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001911)"
      },
      "parent_node_id": "node_1615",
      "improvement_over_parent": null
    },
    "node_1617": {
      "node_id": "node_1617",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n  Mass: 200.48 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.07e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.47760974974807,
      "fos_buckling": 1.250294731747394,
      "fos_yielding": 2.0678900104528872,
      "deflection": 0.005069966314457216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_1616",
      "improvement_over_parent": null
    },
    "node_1618": {
      "node_id": "node_1618",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.81915999078404,
      "fos_buckling": 1.5422696096162158,
      "fos_yielding": 2.652399106953091,
      "deflection": 0.003955415206504474,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_1617",
      "improvement_over_parent": null
    },
    "node_1619": {
      "node_id": "node_1619",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1618",
      "improvement_over_parent": null
    },
    "node_1620": {
      "node_id": "node_1620",
      "content": "INITIAL DESIGN (Trace 234)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 178.33 kg\n  Factor of Safety: 0.73\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.33261845521795,
      "fos_buckling": 0.7331564944389957,
      "fos_yielding": 1.8833332905261186,
      "deflection": 0.00570359508333004,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1621": {
      "node_id": "node_1621",
      "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 179.32 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.31731286834886,
      "fos_buckling": 1.019822310215098,
      "fos_yielding": 1.8841341404365664,
      "deflection": 0.005646902404406871,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.555)"
      },
      "parent_node_id": "node_1620",
      "improvement_over_parent": null
    },
    "node_1622": {
      "node_id": "node_1622",
      "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 181.97 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.9652383394308,
      "fos_buckling": 1.079025477248912,
      "fos_yielding": 1.8832158302751563,
      "deflection": 0.005580363336754585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.227)"
      },
      "parent_node_id": "node_1621",
      "improvement_over_parent": null
    },
    "node_1623": {
      "node_id": "node_1623",
      "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 182.45 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.57e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.45308551677908,
      "fos_buckling": 1.1524881188717566,
      "fos_yielding": 1.8834433078552555,
      "deflection": 0.005565208771037614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.182)"
      },
      "parent_node_id": "node_1622",
      "improvement_over_parent": null
    },
    "node_1624": {
      "node_id": "node_1624",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 202.85 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.85375540928854,
      "fos_buckling": 1.2629249832389908,
      "fos_yielding": 2.092083731920285,
      "deflection": 0.005011428888904993,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_1623",
      "improvement_over_parent": null
    },
    "node_1625": {
      "node_id": "node_1625",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7310437265753,
      "fos_buckling": 1.5417935138787437,
      "fos_yielding": 2.6513941435513964,
      "deflection": 0.003956872334047254,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_1624",
      "improvement_over_parent": null
    },
    "node_1626": {
      "node_id": "node_1626",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 235)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 176.47 kg\n  Factor of Safety: 0.18\n  Max Deflection: 9.90e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.46902889980916,
      "fos_buckling": 0.17738341864377802,
      "fos_yielding": 1.0277472045478213,
      "deflection": 0.009901819619872132,
      "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: Increase 13 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 177.29 kg\n  Factor of Safety: 0.18\n  Max Deflection: 9.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.2878985859916,
      "fos_buckling": 0.17737188214640467,
      "fos_yielding": 1.0276803628834967,
      "deflection": 0.009822376392012857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.181)"
      },
      "parent_node_id": "node_1627",
      "improvement_over_parent": null
    },
    "node_1629": {
      "node_id": "node_1629",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 205.12 kg\n  Factor of Safety: 0.79\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.1245853231043,
      "fos_buckling": 0.7871681293252373,
      "fos_yielding": 2.197069966741866,
      "deflection": 0.0056169419661990325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005082)"
      },
      "parent_node_id": "node_1628",
      "improvement_over_parent": null
    },
    "node_1630": {
      "node_id": "node_1630",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n  Mass: 210.91 kg\n  Factor of Safety: 0.87\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.9126656755735,
      "fos_buckling": 0.8745426462080033,
      "fos_yielding": 2.196341040676565,
      "deflection": 0.005457999072936927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002571)"
      },
      "parent_node_id": "node_1629",
      "improvement_over_parent": null
    },
    "node_1631": {
      "node_id": "node_1631",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n  Mass: 222.89 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.8926835978652,
      "fos_buckling": 1.3614026421662249,
      "fos_yielding": 2.3144063152536885,
      "deflection": 0.004555290638847542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003334)"
      },
      "parent_node_id": "node_1630",
      "improvement_over_parent": null
    },
    "node_1632": {
      "node_id": "node_1632",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n\nPerformance:\n  Mass: 224.38 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.38157646171632,
      "fos_buckling": 1.375446210543833,
      "fos_yielding": 2.3117985481357017,
      "deflection": 0.004536294252193244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.190)"
      },
      "parent_node_id": "node_1631",
      "improvement_over_parent": null
    },
    "node_1633": {
      "node_id": "node_1633",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6705461192311,
      "fos_buckling": 1.541460340853987,
      "fos_yielding": 2.6507437782578687,
      "deflection": 0.00395782531951899,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_1632",
      "improvement_over_parent": null
    },
    "node_1634": {
      "node_id": "node_1634",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 236)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 196.13 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.13234411259063,
      "fos_buckling": 0.8024007444427332,
      "fos_yielding": 1.835159481073391,
      "deflection": 0.005751046892366958,
      "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: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 198.56 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.56252442568442,
      "fos_buckling": 0.8023451198837578,
      "fos_yielding": 1.9622740773800884,
      "deflection": 0.00565137583357697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.572)"
      },
      "parent_node_id": "node_1635",
      "improvement_over_parent": null
    },
    "node_1637": {
      "node_id": "node_1637",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.92 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.92293284099657,
      "fos_buckling": 0.9273041530408489,
      "fos_yielding": 2.3472512467560542,
      "deflection": 0.004744882347439284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1636",
      "improvement_over_parent": null
    },
    "node_1638": {
      "node_id": "node_1638",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.62 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.62109718984206,
      "fos_buckling": 0.9269484910261673,
      "fos_yielding": 2.631526048492115,
      "deflection": 0.004575638988647628,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.464)"
      },
      "parent_node_id": "node_1637",
      "improvement_over_parent": null
    },
    "node_1639": {
      "node_id": "node_1639",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.61046175650193,
      "fos_buckling": 1.541199364822325,
      "fos_yielding": 2.650205898977793,
      "deflection": 0.0039584867317727385,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1638",
      "improvement_over_parent": null
    },
    "node_1640": {
      "node_id": "node_1640",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1639",
      "improvement_over_parent": null
    },
    "node_1641": {
      "node_id": "node_1641",
      "content": "INITIAL DESIGN (Trace 237)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 166.99 kg\n  Factor of Safety: 1.07\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.99193175926413,
      "fos_buckling": 1.0682173156515364,
      "fos_yielding": 1.7478096221348631,
      "deflection": 0.006013601234840161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1642": {
      "node_id": "node_1642",
      "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 167.65 kg\n  Factor of Safety: 1.08\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.64652139334888,
      "fos_buckling": 1.0772768325103361,
      "fos_yielding": 1.7485382224744428,
      "deflection": 0.00600375795555435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.233)"
      },
      "parent_node_id": "node_1641",
      "improvement_over_parent": null
    },
    "node_1643": {
      "node_id": "node_1643",
      "content": "MODIFICATION: Increase 16 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 168.26 kg\n  Factor of Safety: 1.08\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.25999839442542,
      "fos_buckling": 1.0780070467581326,
      "fos_yielding": 1.7451915548540888,
      "deflection": 0.006011990909855178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.176)"
      },
      "parent_node_id": "node_1642",
      "improvement_over_parent": null
    },
    "node_1644": {
      "node_id": "node_1644",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 217.99 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.9937645862571,
      "fos_buckling": 1.3478405612412876,
      "fos_yielding": 2.25574022808466,
      "deflection": 0.004653947438775113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1643",
      "improvement_over_parent": null
    },
    "node_1645": {
      "node_id": "node_1645",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.31 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.314435300962,
      "fos_buckling": 1.5407256392065587,
      "fos_yielding": 2.6474896675060244,
      "deflection": 0.003967043131676195,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_1644",
      "improvement_over_parent": null
    },
    "node_1646": {
      "node_id": "node_1646",
      "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.43874795428417,
      "fos_buckling": 1.5404167626726009,
      "fos_yielding": 2.648517258382774,
      "deflection": 0.003961186454442226,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.224)"
      },
      "parent_node_id": "node_1645",
      "improvement_over_parent": null
    },
    "node_1647": {
      "node_id": "node_1647",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1646",
      "improvement_over_parent": null
    },
    "node_1648": {
      "node_id": "node_1648",
      "content": "INITIAL DESIGN (Trace 238)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_1649": {
      "node_id": "node_1649",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n\nPerformance:\n  Mass: 176.48 kg\n  Factor of Safety: 0.04\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": 176.47909126698312,
      "fos_buckling": 0.042317468246162046,
      "fos_yielding": 0.5429349822439657,
      "deflection": 0.021564102297455444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002494)"
      },
      "parent_node_id": "node_1648",
      "improvement_over_parent": null
    },
    "node_1650": {
      "node_id": "node_1650",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 211.48 kg\n  Factor of Safety: 0.05\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": 211.48352775343014,
      "fos_buckling": 0.04914033178551087,
      "fos_yielding": 0.6492419961015106,
      "deflection": 0.018038829405177235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_1649",
      "improvement_over_parent": null
    },
    "node_1651": {
      "node_id": "node_1651",
      "content": "MODIFICATION: Increase 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 218.53 kg\n  Factor of Safety: 0.05\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": 218.53238889961798,
      "fos_buckling": 0.04913485267855466,
      "fos_yielding": 0.6491696061479255,
      "deflection": 0.01799154693803214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.379)"
      },
      "parent_node_id": "node_1650",
      "improvement_over_parent": null
    },
    "node_1652": {
      "node_id": "node_1652",
      "content": "MODIFICATION: Increase 12 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 224.54 kg\n  Factor of Safety: 0.05\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": 224.53982138533314,
      "fos_buckling": 0.049111518366440864,
      "fos_yielding": 0.6488613132483062,
      "deflection": 0.017361503393037804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.506)"
      },
      "parent_node_id": "node_1651",
      "improvement_over_parent": null
    },
    "node_1653": {
      "node_id": "node_1653",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 245.50 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.74e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.49600539214876,
      "fos_buckling": 0.049062750720467896,
      "fos_yielding": 0.6482169951766485,
      "deflection": 0.017391348637264492,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1652",
      "improvement_over_parent": null
    },
    "node_1654": {
      "node_id": "node_1654",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 250.50 kg\n  Factor of Safety: 0.05\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": 250.49923200081508,
      "fos_buckling": 0.04905112190853675,
      "fos_yielding": 0.6480633553293755,
      "deflection": 0.014851063323875598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1653",
      "improvement_over_parent": null
    },
    "node_1655": {
      "node_id": "node_1655",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0058)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 260.06 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.0623729800349,
      "fos_buckling": 1.4248278198350721,
      "fos_yielding": 2.6349333386891596,
      "deflection": 0.00393844469669179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_1654",
      "improvement_over_parent": null
    },
    "node_1656": {
      "node_id": "node_1656",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1655",
      "improvement_over_parent": null
    },
    "node_1657": {
      "node_id": "node_1657",
      "content": "INITIAL DESIGN (Trace 239)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 242.72 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.7233758030882,
      "fos_buckling": 1.1348007975153807,
      "fos_yielding": 2.6299408558186794,
      "deflection": 0.004210051458910646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1658": {
      "node_id": "node_1658",
      "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.12 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.1245228691798,
      "fos_buckling": 1.132364974815681,
      "fos_yielding": 2.648604572643265,
      "deflection": 0.004042355397324315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.529)"
      },
      "parent_node_id": "node_1657",
      "improvement_over_parent": null
    },
    "node_1659": {
      "node_id": "node_1659",
      "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.85 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.85226883973505,
      "fos_buckling": 1.1919325022050535,
      "fos_yielding": 2.647340546079233,
      "deflection": 0.003997037049664233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.493)"
      },
      "parent_node_id": "node_1658",
      "improvement_over_parent": null
    },
    "node_1660": {
      "node_id": "node_1660",
      "content": "MODIFICATION: Increase 11 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.98 kg\n  Factor of Safety: 1.21\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.97771790190015,
      "fos_buckling": 1.2107138545449294,
      "fos_yielding": 2.6484913548627538,
      "deflection": 0.003990123045628541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.224)"
      },
      "parent_node_id": "node_1659",
      "improvement_over_parent": null
    },
    "node_1661": {
      "node_id": "node_1661",
      "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5495792434341,
      "fos_buckling": 1.5413276850018434,
      "fos_yielding": 2.649386019185647,
      "deflection": 0.003959658728937183,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.548)"
      },
      "parent_node_id": "node_1660",
      "improvement_over_parent": null
    },
    "node_1662": {
      "node_id": "node_1662",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1661",
      "improvement_over_parent": null
    },
    "node_1663": {
      "node_id": "node_1663",
      "content": "INITIAL DESIGN (Trace 240)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 218.91 kg\n  Factor of Safety: 0.40\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.9079866063028,
      "fos_buckling": 0.40377051033422184,
      "fos_yielding": 1.9674973727206801,
      "deflection": 0.005180644459629508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1664": {
      "node_id": "node_1664",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.02 kg\n  Factor of Safety: 0.45\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.01815214393469,
      "fos_buckling": 0.4456782136030791,
      "fos_yielding": 2.2125531828172735,
      "deflection": 0.004614605124539543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.136)"
      },
      "parent_node_id": "node_1663",
      "improvement_over_parent": null
    },
    "node_1665": {
      "node_id": "node_1665",
      "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.54 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.53725191108003,
      "fos_buckling": 0.4690393166967463,
      "fos_yielding": 2.4842289163121674,
      "deflection": 0.004478304191504561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.221)"
      },
      "parent_node_id": "node_1664",
      "improvement_over_parent": null
    },
    "node_1666": {
      "node_id": "node_1666",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50900530977566,
      "fos_buckling": 1.5407364519332372,
      "fos_yielding": 2.649171210281137,
      "deflection": 0.0039603097293541565,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1665",
      "improvement_over_parent": null
    },
    "node_1667": {
      "node_id": "node_1667",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 241)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 128.65 kg\n  Factor of Safety: 0.22\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.64874994716632,
      "fos_buckling": 0.22334459518883412,
      "fos_yielding": 1.1433609719728925,
      "deflection": 0.007991044382258627,
      "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: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 165.82 kg\n  Factor of Safety: 0.28\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.81710581991985,
      "fos_buckling": 0.28112313056821603,
      "fos_yielding": 1.4791858286068837,
      "deflection": 0.0062132197280063495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_1668",
      "improvement_over_parent": null
    },
    "node_1670": {
      "node_id": "node_1670",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 199.94 kg\n  Factor of Safety: 0.33\n  Max Deflection: 5.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.94116476624563,
      "fos_buckling": 0.33148041715067983,
      "fos_yielding": 1.7901142463799355,
      "deflection": 0.005163025688178833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.222)"
      },
      "parent_node_id": "node_1669",
      "improvement_over_parent": null
    },
    "node_1671": {
      "node_id": "node_1671",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 208.48 kg\n  Factor of Safety: 0.53\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.48207790528895,
      "fos_buckling": 0.5301002182712597,
      "fos_yielding": 1.6826349478379086,
      "deflection": 0.004556285528728227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003092)"
      },
      "parent_node_id": "node_1670",
      "improvement_over_parent": null
    },
    "node_1672": {
      "node_id": "node_1672",
      "content": "MODIFICATION: Increase 18 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 212.19 kg\n  Factor of Safety: 0.53\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.19388542779657,
      "fos_buckling": 0.5283406343443395,
      "fos_yielding": 1.6831966553615616,
      "deflection": 0.00450720428222307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.225)"
      },
      "parent_node_id": "node_1671",
      "improvement_over_parent": null
    },
    "node_1673": {
      "node_id": "node_1673",
      "content": "MODIFICATION: Increase 0 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 214.65 kg\n  Factor of Safety: 0.63\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.6503531682301,
      "fos_buckling": 0.631228771690534,
      "fos_yielding": 2.1934450735227307,
      "deflection": 0.004435058874061425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.565)"
      },
      "parent_node_id": "node_1672",
      "improvement_over_parent": null
    },
    "node_1674": {
      "node_id": "node_1674",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 250.76 kg\n  Factor of Safety: 0.72\n  Max Deflection: 3.80e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7550790049057,
      "fos_buckling": 0.7228178238869075,
      "fos_yielding": 2.55913290191361,
      "deflection": 0.003804660346653408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1673",
      "improvement_over_parent": null
    },
    "node_1675": {
      "node_id": "node_1675",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 258.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.59384202288516,
      "fos_buckling": 1.5405230104668832,
      "fos_yielding": 2.646082243647486,
      "deflection": 0.003948660752731713,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_1674",
      "improvement_over_parent": null
    },
    "node_1676": {
      "node_id": "node_1676",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 242)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 133.63 kg\n  Factor of Safety: 0.22\n  Max Deflection: 3.65e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.63320101598725,
      "fos_buckling": 0.22289706121073072,
      "fos_yielding": 0.6630935823659353,
      "deflection": 0.03654620664657449,
      "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: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 168.43 kg\n  Factor of Safety: 0.27\n  Max Deflection: 2.91e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.42995946187915,
      "fos_buckling": 0.2735135979872633,
      "fos_yielding": 0.8328358014404762,
      "deflection": 0.029072474986940024,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_1677",
      "improvement_over_parent": null
    },
    "node_1679": {
      "node_id": "node_1679",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 174.58 kg\n  Factor of Safety: 0.34\n  Max Deflection: 6.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.58391376270586,
      "fos_buckling": 0.34477633572517036,
      "fos_yielding": 1.772875825240297,
      "deflection": 0.006323512456169173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002788)"
      },
      "parent_node_id": "node_1678",
      "improvement_over_parent": null
    },
    "node_1680": {
      "node_id": "node_1680",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 203.11 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.44e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.11465614669999,
      "fos_buckling": 0.3936611908112912,
      "fos_yielding": 2.0599541525357616,
      "deflection": 0.0054431048407723856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1679",
      "improvement_over_parent": null
    },
    "node_1681": {
      "node_id": "node_1681",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 244.77 kg\n  Factor of Safety: 0.46\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.7710842935733,
      "fos_buckling": 0.46123521585286986,
      "fos_yielding": 2.4777667306491598,
      "deflection": 0.004526251293349257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1680",
      "improvement_over_parent": null
    },
    "node_1682": {
      "node_id": "node_1682",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 254.74 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.74283769226895,
      "fos_buckling": 1.3559098513384613,
      "fos_yielding": 2.645007273227176,
      "deflection": 0.0039950869017026745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1681",
      "improvement_over_parent": null
    },
    "node_1683": {
      "node_id": "node_1683",
      "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0060)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 260.19 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.19323234526513,
      "fos_buckling": 1.3564163076842768,
      "fos_yielding": 2.6389726666026516,
      "deflection": 0.003964375487712107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.325)"
      },
      "parent_node_id": "node_1682",
      "improvement_over_parent": null
    },
    "node_1684": {
      "node_id": "node_1684",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1683",
      "improvement_over_parent": null
    },
    "node_1685": {
      "node_id": "node_1685",
      "content": "INITIAL DESIGN (Trace 243)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 182.82 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.81759484593292,
      "fos_buckling": 0.7476366601593437,
      "fos_yielding": 1.3542880162028663,
      "deflection": 0.006576882568906984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1686": {
      "node_id": "node_1686",
      "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 184.84 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.83652082993422,
      "fos_buckling": 0.7475931383111781,
      "fos_yielding": 1.8869536229419326,
      "deflection": 0.006209803721784304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.422)"
      },
      "parent_node_id": "node_1685",
      "improvement_over_parent": null
    },
    "node_1687": {
      "node_id": "node_1687",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.51 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.50636464121715,
      "fos_buckling": 0.9124120968880247,
      "fos_yielding": 2.3880160619729343,
      "deflection": 0.004907785882605049,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1686",
      "improvement_over_parent": null
    },
    "node_1688": {
      "node_id": "node_1688",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 252.55 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.54890084396482,
      "fos_buckling": 1.1628164847764588,
      "fos_yielding": 2.4266547935472236,
      "deflection": 0.004481943668236874,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1687",
      "improvement_over_parent": null
    },
    "node_1689": {
      "node_id": "node_1689",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55212745263117,
      "fos_buckling": 1.5409399029684339,
      "fos_yielding": 2.64962588257752,
      "deflection": 0.00395962068791892,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1688",
      "improvement_over_parent": null
    },
    "node_1690": {
      "node_id": "node_1690",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 244)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 192.06 kg\n  Factor of Safety: 0.34\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": 192.05885451123535,
      "fos_buckling": 0.34197384251280666,
      "fos_yielding": 1.1779506367149817,
      "deflection": 0.014637733126877961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1692": {
      "node_id": "node_1692",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 218.26 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.29e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.25951900295846,
      "fos_buckling": 0.3853809816063197,
      "fos_yielding": 1.3361152096703144,
      "deflection": 0.012897650072044669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_1691",
      "improvement_over_parent": null
    },
    "node_1693": {
      "node_id": "node_1693",
      "content": "MODIFICATION: Increase 16 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 222.36 kg\n  Factor of Safety: 0.42\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": 222.36286838179976,
      "fos_buckling": 0.41727739870225233,
      "fos_yielding": 1.3357142874291614,
      "deflection": 0.01244703061675595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.458)"
      },
      "parent_node_id": "node_1692",
      "improvement_over_parent": null
    },
    "node_1694": {
      "node_id": "node_1694",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.86 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.8619605648754,
      "fos_buckling": 0.4529779731602184,
      "fos_yielding": 1.474476997503546,
      "deflection": 0.011273886019276858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_1693",
      "improvement_over_parent": null
    },
    "node_1695": {
      "node_id": "node_1695",
      "content": "MODIFICATION: Increase 16 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.73 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.7315625862102,
      "fos_buckling": 0.45286643684427186,
      "fos_yielding": 1.474168118612914,
      "deflection": 0.011123956428051637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.208)"
      },
      "parent_node_id": "node_1694",
      "improvement_over_parent": null
    },
    "node_1696": {
      "node_id": "node_1696",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.36842611386373,
      "fos_buckling": 1.5400696084092378,
      "fos_yielding": 2.6477801684214306,
      "deflection": 0.003962108439838127,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1695",
      "improvement_over_parent": null
    },
    "node_1697": {
      "node_id": "node_1697",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1696",
      "improvement_over_parent": null
    },
    "node_1698": {
      "node_id": "node_1698",
      "content": "INITIAL DESIGN (Trace 245)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 152.50 kg\n  Factor of Safety: 0.81\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.49887643257995,
      "fos_buckling": 0.8079374170168906,
      "fos_yielding": 1.6246376447580508,
      "deflection": 0.006661467759913124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1699": {
      "node_id": "node_1699",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 188.94 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.39e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.9358395106695,
      "fos_buckling": 0.985939642134755,
      "fos_yielding": 2.008866478251099,
      "deflection": 0.005387562625097097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_1698",
      "improvement_over_parent": null
    },
    "node_1700": {
      "node_id": "node_1700",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 218.14 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.13794353249452,
      "fos_buckling": 1.1243842285850654,
      "fos_yielding": 2.315685410430728,
      "deflection": 0.004673805660829436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_1699",
      "improvement_over_parent": null
    },
    "node_1701": {
      "node_id": "node_1701",
      "content": "MODIFICATION: Increase 15 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 222.04 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.04161584982728,
      "fos_buckling": 1.3634907282451048,
      "fos_yielding": 2.288135629082939,
      "deflection": 0.004583388481726278,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.531)"
      },
      "parent_node_id": "node_1700",
      "improvement_over_parent": null
    },
    "node_1702": {
      "node_id": "node_1702",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6146021523946,
      "fos_buckling": 1.5412792828462911,
      "fos_yielding": 2.6504042432100694,
      "deflection": 0.0039585933906124485,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_1701",
      "improvement_over_parent": null
    },
    "node_1703": {
      "node_id": "node_1703",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1702",
      "improvement_over_parent": null
    },
    "node_1704": {
      "node_id": "node_1704",
      "content": "INITIAL DESIGN (Trace 246)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 124.06 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.0586359014579,
      "fos_buckling": 0.3624767774313978,
      "fos_yielding": 1.2809760866023747,
      "deflection": 0.010084541560277126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1705": {
      "node_id": "node_1705",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 154.94 kg\n  Factor of Safety: 0.44\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.94192273507042,
      "fos_buckling": 0.4435817874081224,
      "fos_yielding": 1.595867877649347,
      "deflection": 0.008093755812324003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_1704",
      "improvement_over_parent": null
    },
    "node_1706": {
      "node_id": "node_1706",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n  Mass: 159.60 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.59708000793623,
      "fos_buckling": 0.6882707554659275,
      "fos_yielding": 1.8297588407283771,
      "deflection": 0.006715296083850447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002035)"
      },
      "parent_node_id": "node_1705",
      "improvement_over_parent": null
    },
    "node_1707": {
      "node_id": "node_1707",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n  Mass: 179.73 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.72922122528072,
      "fos_buckling": 0.7619234703465722,
      "fos_yielding": 2.058146881120841,
      "deflection": 0.005970826049484063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1706",
      "improvement_over_parent": null
    },
    "node_1708": {
      "node_id": "node_1708",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 228.05 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.04867343554784,
      "fos_buckling": 0.9269275242474839,
      "fos_yielding": 2.6040253568667504,
      "deflection": 0.004720406431102716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_1707",
      "improvement_over_parent": null
    },
    "node_1709": {
      "node_id": "node_1709",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 229.55 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.5544203881162,
      "fos_buckling": 0.926848140525643,
      "fos_yielding": 2.613006004061833,
      "deflection": 0.00473438756978053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.261)"
      },
      "parent_node_id": "node_1708",
      "improvement_over_parent": null
    },
    "node_1710": {
      "node_id": "node_1710",
      "content": "MODIFICATION: Increase 13 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 237.75 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.74904766856386,
      "fos_buckling": 0.9266321969535496,
      "fos_yielding": 2.6039329881481015,
      "deflection": 0.004678037503741555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.497)"
      },
      "parent_node_id": "node_1709",
      "improvement_over_parent": null
    },
    "node_1711": {
      "node_id": "node_1711",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 255.74 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.73841223522376,
      "fos_buckling": 1.1721324390503967,
      "fos_yielding": 2.6221740165006495,
      "deflection": 0.004063126006537454,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1710",
      "improvement_over_parent": null
    },
    "node_1712": {
      "node_id": "node_1712",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 247)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 152.97 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.93e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.97137005051871,
      "fos_buckling": 0.802375148645928,
      "fos_yielding": 1.573892379775332,
      "deflection": 0.006934371194809769,
      "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: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 194.91 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.90842014817832,
      "fos_buckling": 0.9897870427419401,
      "fos_yielding": 2.001544683578807,
      "deflection": 0.0054560328419658265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.295)"
      },
      "parent_node_id": "node_1713",
      "improvement_over_parent": null
    },
    "node_1715": {
      "node_id": "node_1715",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 210.62 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.61667358454937,
      "fos_buckling": 1.3011188081657667,
      "fos_yielding": 2.1784091665277145,
      "deflection": 0.004786284263255943,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003693)"
      },
      "parent_node_id": "node_1714",
      "improvement_over_parent": null
    },
    "node_1716": {
      "node_id": "node_1716",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 211.88 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.88287097508237,
      "fos_buckling": 1.310642076355718,
      "fos_yielding": 2.1842649193858534,
      "deflection": 0.004800430934101569,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.263)"
      },
      "parent_node_id": "node_1715",
      "improvement_over_parent": null
    },
    "node_1717": {
      "node_id": "node_1717",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4211767217762,
      "fos_buckling": 1.5403079061548377,
      "fos_yielding": 2.6482002966520004,
      "deflection": 0.003961609934742004,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_1716",
      "improvement_over_parent": null
    },
    "node_1718": {
      "node_id": "node_1718",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 248)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.36 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.3585436289246,
      "fos_buckling": 1.1590255234525115,
      "fos_yielding": 2.642940103134295,
      "deflection": 0.004123288416203331,
      "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 14 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.27 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.27026332213856,
      "fos_buckling": 1.1927457857444912,
      "fos_yielding": 2.624005985093947,
      "deflection": 0.004072758860048906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.295)"
      },
      "parent_node_id": "node_1719",
      "improvement_over_parent": null
    },
    "node_1721": {
      "node_id": "node_1721",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 255.91 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.9128635509579,
      "fos_buckling": 1.4543275855254443,
      "fos_yielding": 2.640525105868988,
      "deflection": 0.003986374345797505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1720",
      "improvement_over_parent": null
    },
    "node_1722": {
      "node_id": "node_1722",
      "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5261611217628,
      "fos_buckling": 1.5408260360540953,
      "fos_yielding": 2.6493728778791716,
      "deflection": 0.003959953868292412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.212)"
      },
      "parent_node_id": "node_1721",
      "improvement_over_parent": null
    },
    "node_1723": {
      "node_id": "node_1723",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1722",
      "improvement_over_parent": null
    },
    "node_1724": {
      "node_id": "node_1724",
      "content": "INITIAL DESIGN (Trace 249)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 161.79 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.79041247059286,
      "fos_buckling": 0.664434901991239,
      "fos_yielding": 1.64967107568354,
      "deflection": 0.006442647165161895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1725": {
      "node_id": "node_1725",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 201.22 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.2180441624198,
      "fos_buckling": 0.8017312783098122,
      "fos_yielding": 2.0471670484397184,
      "deflection": 0.005192074941594967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_1724",
      "improvement_over_parent": null
    },
    "node_1726": {
      "node_id": "node_1726",
      "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 202.50 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.50014983954742,
      "fos_buckling": 0.8017016519913597,
      "fos_yielding": 2.0470917763872345,
      "deflection": 0.005144281961388721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.236)"
      },
      "parent_node_id": "node_1725",
      "improvement_over_parent": null
    },
    "node_1727": {
      "node_id": "node_1727",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 217.94 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.94206126213672,
      "fos_buckling": 1.2362943376759052,
      "fos_yielding": 2.2580824656822776,
      "deflection": 0.004589314766334062,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003746)"
      },
      "parent_node_id": "node_1726",
      "improvement_over_parent": null
    },
    "node_1728": {
      "node_id": "node_1728",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 220.37 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.372919662802,
      "fos_buckling": 1.35478254968108,
      "fos_yielding": 2.270867458667366,
      "deflection": 0.004617841261061148,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.613)"
      },
      "parent_node_id": "node_1727",
      "improvement_over_parent": null
    },
    "node_1729": {
      "node_id": "node_1729",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4882035710207,
      "fos_buckling": 1.5405649765731664,
      "fos_yielding": 2.6488371858321496,
      "deflection": 0.003960669236691682,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_1728",
      "improvement_over_parent": null
    },
    "node_1730": {
      "node_id": "node_1730",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1729",
      "improvement_over_parent": null
    },
    "node_1731": {
      "node_id": "node_1731",
      "content": "INITIAL DESIGN (Trace 250)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 153.83 kg\n  Factor of Safety: 0.20\n  Max Deflection: 7.40e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.83160520961263,
      "fos_buckling": 0.2028055373622238,
      "fos_yielding": 1.1701108445030655,
      "deflection": 7400354871424.073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1732": {
      "node_id": "node_1732",
      "content": "MODIFICATION: Increase 11 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 156.10 kg\n  Factor of Safety: 0.20\n  Max Deflection: 7.40e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.10407520631742,
      "fos_buckling": 0.2028055373622238,
      "fos_yielding": 1.1701108445030655,
      "deflection": 7400354871424.073,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.357)"
      },
      "parent_node_id": "node_1731",
      "improvement_over_parent": null
    },
    "node_1733": {
      "node_id": "node_1733",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n  Mass: 167.76 kg\n  Factor of Safety: 0.04\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": 167.75501894187363,
      "fos_buckling": 0.04285286251877152,
      "fos_yielding": 0.5509487616730951,
      "deflection": 0.022611156740584656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003235)"
      },
      "parent_node_id": "node_1732",
      "improvement_over_parent": null
    },
    "node_1734": {
      "node_id": "node_1734",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 183.04 kg\n  Factor of Safety: 0.04\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": 183.04438134102992,
      "fos_buckling": 0.042821726720262895,
      "fos_yielding": 0.5505484563346941,
      "deflection": 0.019729590619907984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003706)"
      },
      "parent_node_id": "node_1733",
      "improvement_over_parent": null
    },
    "node_1735": {
      "node_id": "node_1735",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 191.15 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.59e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.14784417429183,
      "fos_buckling": 0.233167932985958,
      "fos_yielding": 1.2345461306729546,
      "deflection": 0.009586352806493363,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003533)"
      },
      "parent_node_id": "node_1734",
      "improvement_over_parent": null
    },
    "node_1736": {
      "node_id": "node_1736",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n\nPerformance:\n  Mass: 212.99 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.99361547034286,
      "fos_buckling": 1.1564098716558915,
      "fos_yielding": 2.2407942980379603,
      "deflection": 0.004764368185932352,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003919)"
      },
      "parent_node_id": "node_1735",
      "improvement_over_parent": null
    },
    "node_1737": {
      "node_id": "node_1737",
      "content": "MODIFICATION: Increase 13 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0028)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n\nPerformance:\n  Mass: 214.29 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.29279121996737,
      "fos_buckling": 1.1575576032427253,
      "fos_yielding": 2.2343183997550953,
      "deflection": 0.00477405490542788,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.258)"
      },
      "parent_node_id": "node_1736",
      "improvement_over_parent": null
    },
    "node_1738": {
      "node_id": "node_1738",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0034)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n  Mass: 252.97 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.97188373187436,
      "fos_buckling": 1.3383248156381258,
      "fos_yielding": 2.6327905171120123,
      "deflection": 0.004052334656792018,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.198)"
      },
      "parent_node_id": "node_1737",
      "improvement_over_parent": null
    },
    "node_1739": {
      "node_id": "node_1739",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1738",
      "improvement_over_parent": null
    },
    "node_1740": {
      "node_id": "node_1740",
      "content": "INITIAL DESIGN (Trace 251)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 169.84 kg\n  Factor of Safety: 0.51\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.83651009319237,
      "fos_buckling": 0.5077549529212114,
      "fos_yielding": 1.8735535546422202,
      "deflection": 0.006027278045420898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1741": {
      "node_id": "node_1741",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 195.17 kg\n  Factor of Safety: 0.57\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.17045144181694,
      "fos_buckling": 0.5744656093614559,
      "fos_yielding": 2.150704170755646,
      "deflection": 0.005253552450332892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1740",
      "improvement_over_parent": null
    },
    "node_1742": {
      "node_id": "node_1742",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 210.33 kg\n  Factor of Safety: 0.63\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.32639779563692,
      "fos_buckling": 0.6278723147343895,
      "fos_yielding": 2.161385381777611,
      "deflection": 0.004518685939123085,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003677)"
      },
      "parent_node_id": "node_1741",
      "improvement_over_parent": null
    },
    "node_1743": {
      "node_id": "node_1743",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 216.93 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.92817211864127,
      "fos_buckling": 1.3369680544549698,
      "fos_yielding": 2.235797140451464,
      "deflection": 0.004690071906183773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002692)"
      },
      "parent_node_id": "node_1742",
      "improvement_over_parent": null
    },
    "node_1744": {
      "node_id": "node_1744",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.61351107946905,
      "fos_buckling": 1.5412181447591573,
      "fos_yielding": 2.6501982065439997,
      "deflection": 0.003958633117593826,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1743",
      "improvement_over_parent": null
    },
    "node_1745": {
      "node_id": "node_1745",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1744",
      "improvement_over_parent": null
    },
    "node_1746": {
      "node_id": "node_1746",
      "content": "INITIAL DESIGN (Trace 252)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 172.25 kg\n  Factor of Safety: 0.04\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": 172.25481414312543,
      "fos_buckling": 0.03813662229113983,
      "fos_yielding": 0.4812897008075364,
      "deflection": 0.023452488056442514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1747": {
      "node_id": "node_1747",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n\nPerformance:\n  Mass: 179.34 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.57e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.33712869698638,
      "fos_buckling": 0.9675586146844423,
      "fos_yielding": 1.9743726756225166,
      "deflection": 0.0055749113886849715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003057)"
      },
      "parent_node_id": "node_1746",
      "improvement_over_parent": null
    },
    "node_1748": {
      "node_id": "node_1748",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n\nPerformance:\n  Mass: 217.77 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.76578666002683,
      "fos_buckling": 1.1427573620425366,
      "fos_yielding": 2.391820147667502,
      "deflection": 0.0046013484962454075,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1747",
      "improvement_over_parent": null
    },
    "node_1749": {
      "node_id": "node_1749",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 242.42 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.41692507905557,
      "fos_buckling": 1.249213762468213,
      "fos_yielding": 2.6585161960685424,
      "deflection": 0.004139352985405378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_1748",
      "improvement_over_parent": null
    },
    "node_1750": {
      "node_id": "node_1750",
      "content": "MODIFICATION: Increase 14 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 244.32 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.32018457842466,
      "fos_buckling": 1.2613942568106289,
      "fos_yielding": 2.6516650231490777,
      "deflection": 0.0041480933137233375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.330)"
      },
      "parent_node_id": "node_1749",
      "improvement_over_parent": null
    },
    "node_1751": {
      "node_id": "node_1751",
      "content": "MODIFICATION: Increase 17 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 247.90 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.9022488281835,
      "fos_buckling": 1.2913683375175737,
      "fos_yielding": 2.65363722406403,
      "deflection": 0.004113686679234105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.224)"
      },
      "parent_node_id": "node_1750",
      "improvement_over_parent": null
    },
    "node_1752": {
      "node_id": "node_1752",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 254.54 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.54484905700284,
      "fos_buckling": 1.3650876959193603,
      "fos_yielding": 2.6647643946969373,
      "deflection": 0.004058383759410364,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1751",
      "improvement_over_parent": null
    },
    "node_1753": {
      "node_id": "node_1753",
      "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 255.96 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.95542005320155,
      "fos_buckling": 1.3904206845352183,
      "fos_yielding": 2.669905312753449,
      "deflection": 0.004065374967637442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.202)"
      },
      "parent_node_id": "node_1752",
      "improvement_over_parent": null
    },
    "node_1754": {
      "node_id": "node_1754",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1753",
      "improvement_over_parent": null
    },
    "node_1755": {
      "node_id": "node_1755",
      "content": "INITIAL DESIGN (Trace 253)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 207.75 kg\n  Factor of Safety: 0.47\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.7502118961224,
      "fos_buckling": 0.46504924966629135,
      "fos_yielding": 2.0347387549552587,
      "deflection": 0.005905492714887159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1756": {
      "node_id": "node_1756",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 228.71 kg\n  Factor of Safety: 0.75\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.70639590293803,
      "fos_buckling": 0.7528473407646022,
      "fos_yielding": 1.944835083490996,
      "deflection": 0.005043061250613868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1755",
      "improvement_over_parent": null
    },
    "node_1757": {
      "node_id": "node_1757",
      "content": "MODIFICATION: Increase 10 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 231.11 kg\n  Factor of Safety: 0.78\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.10891274688777,
      "fos_buckling": 0.779136153753891,
      "fos_yielding": 1.9277647861772425,
      "deflection": 0.004979953051882782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.348)"
      },
      "parent_node_id": "node_1756",
      "improvement_over_parent": null
    },
    "node_1758": {
      "node_id": "node_1758",
      "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 232.26 kg\n  Factor of Safety: 0.78\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.2590838973934,
      "fos_buckling": 0.7789831942581626,
      "fos_yielding": 1.923993211908649,
      "deflection": 0.004935812517699611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.230)"
      },
      "parent_node_id": "node_1757",
      "improvement_over_parent": null
    },
    "node_1759": {
      "node_id": "node_1759",
      "content": "MODIFICATION: Increase 19 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n\nPerformance:\n  Mass: 236.96 kg\n  Factor of Safety: 0.78\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.95701627496902,
      "fos_buckling": 0.7784630017326156,
      "fos_yielding": 1.9208932059338668,
      "deflection": 0.0049074345137484566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.253)"
      },
      "parent_node_id": "node_1758",
      "improvement_over_parent": null
    },
    "node_1760": {
      "node_id": "node_1760",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 254.95 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.94638084162892,
      "fos_buckling": 1.1019096207689216,
      "fos_yielding": 1.901450310246987,
      "deflection": 0.004167852843794908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1759",
      "improvement_over_parent": null
    },
    "node_1761": {
      "node_id": "node_1761",
      "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0060)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 258.26 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.2565783223015,
      "fos_buckling": 1.4060671181903512,
      "fos_yielding": 2.6541659297192113,
      "deflection": 0.003960865625374332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.580)"
      },
      "parent_node_id": "node_1760",
      "improvement_over_parent": null
    },
    "node_1762": {
      "node_id": "node_1762",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1761",
      "improvement_over_parent": null
    },
    "node_1763": {
      "node_id": "node_1763",
      "content": "INITIAL DESIGN (Trace 254)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 138.77 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.69e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.77236831884906,
      "fos_buckling": 0.37415436434679755,
      "fos_yielding": 1.2596203959136516,
      "deflection": 16908446719741.703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1764": {
      "node_id": "node_1764",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n  Mass: 143.09 kg\n  Factor of Safety: 0.09\n  Max Deflection: 9.44e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.08908786377432,
      "fos_buckling": 0.0887872946525301,
      "fos_yielding": 0.5642195389126584,
      "deflection": 9440033062526.91,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001705)"
      },
      "parent_node_id": "node_1763",
      "improvement_over_parent": null
    },
    "node_1765": {
      "node_id": "node_1765",
      "content": "MODIFICATION: Increase 6 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n\nPerformance:\n  Mass: 143.61 kg\n  Factor of Safety: 0.09\n  Max Deflection: 1.34e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.6113665026507,
      "fos_buckling": 0.0887872946525301,
      "fos_yielding": 0.7045569695842968,
      "deflection": 13402589959992.92,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.214)"
      },
      "parent_node_id": "node_1764",
      "improvement_over_parent": null
    },
    "node_1766": {
      "node_id": "node_1766",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 178.20 kg\n  Factor of Safety: 0.08\n  Max Deflection: 9.31e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.20244084644068,
      "fos_buckling": 0.07972487141161314,
      "fos_yielding": 0.4387915666886495,
      "deflection": 9313222309881.273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_1765",
      "improvement_over_parent": null
    },
    "node_1767": {
      "node_id": "node_1767",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n\nPerformance:\n  Mass: 204.31 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.52e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.31099342688756,
      "fos_buckling": 0.9836339057661841,
      "fos_yielding": 1.9857128420345578,
      "deflection": 0.0055166941056236235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004742)"
      },
      "parent_node_id": "node_1766",
      "improvement_over_parent": null
    },
    "node_1768": {
      "node_id": "node_1768",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 208.40 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.4005535049402,
      "fos_buckling": 1.2357274232213358,
      "fos_yielding": 2.1584852234078897,
      "deflection": 0.004812323820940711,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002458)"
      },
      "parent_node_id": "node_1767",
      "improvement_over_parent": null
    },
    "node_1769": {
      "node_id": "node_1769",
      "content": "MODIFICATION: Increase 9 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 211.75 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.75467877450535,
      "fos_buckling": 1.222734467585126,
      "fos_yielding": 2.1702533572169354,
      "deflection": 0.004756642183886568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.460)"
      },
      "parent_node_id": "node_1768",
      "improvement_over_parent": null
    },
    "node_1770": {
      "node_id": "node_1770",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 258.91 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.91136787326195,
      "fos_buckling": 1.474382838838878,
      "fos_yielding": 2.6486814115488153,
      "deflection": 0.003901254976450832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1769",
      "improvement_over_parent": null
    },
    "node_1771": {
      "node_id": "node_1771",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1770",
      "improvement_over_parent": null
    },
    "node_1772": {
      "node_id": "node_1772",
      "content": "INITIAL DESIGN (Trace 255)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 158.43 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.4270895569876,
      "fos_buckling": 0.8306120281268797,
      "fos_yielding": 1.3767639119732757,
      "deflection": 0.006869517713430914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1773": {
      "node_id": "node_1773",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 194.78 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.78384939663692,
      "fos_buckling": 0.9927621579942169,
      "fos_yielding": 1.6959914964141851,
      "deflection": 0.005596992785146938,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_1772",
      "improvement_over_parent": null
    },
    "node_1774": {
      "node_id": "node_1774",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 210.55 kg\n  Factor of Safety: 1.02\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.5473317597707,
      "fos_buckling": 1.0176137325327135,
      "fos_yielding": 1.7658155762949057,
      "deflection": 0.004952730340389672,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003707)"
      },
      "parent_node_id": "node_1773",
      "improvement_over_parent": null
    },
    "node_1775": {
      "node_id": "node_1775",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 255.06 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.06338369739882,
      "fos_buckling": 1.2096109914451831,
      "fos_yielding": 2.1441058339605883,
      "deflection": 0.004096698891995443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_1774",
      "improvement_over_parent": null
    },
    "node_1776": {
      "node_id": "node_1776",
      "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5365567598923,
      "fos_buckling": 1.5409074995755312,
      "fos_yielding": 2.6493838931641536,
      "deflection": 0.0039600008082581375,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.383)"
      },
      "parent_node_id": "node_1775",
      "improvement_over_parent": null
    },
    "node_1777": {
      "node_id": "node_1777",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1776",
      "improvement_over_parent": null
    },
    "node_1778": {
      "node_id": "node_1778",
      "content": "INITIAL DESIGN (Trace 256)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 197.67 kg\n  Factor of Safety: 0.38\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.66987183032467,
      "fos_buckling": 0.38069014402514095,
      "fos_yielding": 1.4527745982932618,
      "deflection": 0.0058314677324035995,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1779": {
      "node_id": "node_1779",
      "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 200.16 kg\n  Factor of Safety: 0.34\n  Max Deflection: 5.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.15517566518187,
      "fos_buckling": 0.33768259008521145,
      "fos_yielding": 2.04348503783364,
      "deflection": 0.0054805763129490434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.451)"
      },
      "parent_node_id": "node_1778",
      "improvement_over_parent": null
    },
    "node_1780": {
      "node_id": "node_1780",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 208.27 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.27297925858406,
      "fos_buckling": 1.2972513794792018,
      "fos_yielding": 2.1682288533805334,
      "deflection": 0.004838784992573731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002927)"
      },
      "parent_node_id": "node_1779",
      "improvement_over_parent": null
    },
    "node_1781": {
      "node_id": "node_1781",
      "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0049)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 213.18 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.17575774286215,
      "fos_buckling": 1.2196317798609557,
      "fos_yielding": 2.164092392323648,
      "deflection": 0.004800964023082897,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.370)"
      },
      "parent_node_id": "node_1780",
      "improvement_over_parent": null
    },
    "node_1782": {
      "node_id": "node_1782",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 261.94 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.9411113965552,
      "fos_buckling": 1.4770588493430303,
      "fos_yielding": 2.654601321875059,
      "deflection": 0.00391706437662765,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_1781",
      "improvement_over_parent": null
    },
    "node_1783": {
      "node_id": "node_1783",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1782",
      "improvement_over_parent": null
    },
    "node_1784": {
      "node_id": "node_1784",
      "content": "INITIAL DESIGN (Trace 257)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\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_1785": {
      "node_id": "node_1785",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 169.60 kg\n  Factor of Safety: 0.51\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.59995735113156,
      "fos_buckling": 0.5070974128778009,
      "fos_yielding": 1.7931912102350442,
      "deflection": 0.007236954548232499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002357)"
      },
      "parent_node_id": "node_1784",
      "improvement_over_parent": null
    },
    "node_1786": {
      "node_id": "node_1786",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 174.64 kg\n  Factor of Safety: 0.51\n  Max Deflection: 7.24e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.64277360584765,
      "fos_buckling": 0.5070974128778009,
      "fos_yielding": 1.7931912102350442,
      "deflection": 0.007236954548232499,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.631)"
      },
      "parent_node_id": "node_1785",
      "improvement_over_parent": null
    },
    "node_1787": {
      "node_id": "node_1787",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n\nPerformance:\n  Mass: 191.12 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.73e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.1177884256653,
      "fos_buckling": 0.9287043340419386,
      "fos_yielding": 1.9130429679195216,
      "deflection": 0.005726896588992919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003684)"
      },
      "parent_node_id": "node_1786",
      "improvement_over_parent": null
    },
    "node_1788": {
      "node_id": "node_1788",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0057)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 219.32 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.32337656569567,
      "fos_buckling": 1.054853951273047,
      "fos_yielding": 2.193872226722393,
      "deflection": 0.004995471547682339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1787",
      "improvement_over_parent": null
    },
    "node_1789": {
      "node_id": "node_1789",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0064)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 242.96 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.96042175866882,
      "fos_buckling": 1.1584042035097077,
      "fos_yielding": 2.4289668023159923,
      "deflection": 0.0045132066818424224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_1788",
      "improvement_over_parent": null
    },
    "node_1790": {
      "node_id": "node_1790",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0064)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 262.05 kg\n  Factor of Safety: 1.17\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.0501655334763,
      "fos_buckling": 1.1687649781294038,
      "fos_yielding": 2.6427390927225165,
      "deflection": 0.003956791533264212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1789",
      "improvement_over_parent": null
    },
    "node_1791": {
      "node_id": "node_1791",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1790",
      "improvement_over_parent": null
    },
    "node_1792": {
      "node_id": "node_1792",
      "content": "INITIAL DESIGN (Trace 258)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 237.63 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.67e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.62843946686408,
      "fos_buckling": 0.04905547346892028,
      "fos_yielding": 0.6480540952110687,
      "deflection": 0.016728058170872775,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1793": {
      "node_id": "node_1793",
      "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.69 kg\n  Factor of Safety: 0.05\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": 238.6900752223311,
      "fos_buckling": 0.04905382783878428,
      "fos_yielding": 0.6480323553872851,
      "deflection": 0.016729864215747292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.209)"
      },
      "parent_node_id": "node_1792",
      "improvement_over_parent": null
    },
    "node_1794": {
      "node_id": "node_1794",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 243.41 kg\n  Factor of Safety: 0.05\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": 243.40689447169268,
      "fos_buckling": 0.04905017248850129,
      "fos_yielding": 0.6479840658784329,
      "deflection": 0.016406448338917867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_1793",
      "improvement_over_parent": null
    },
    "node_1795": {
      "node_id": "node_1795",
      "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 244.95 kg\n  Factor of Safety: 0.05\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": 244.94864367294053,
      "fos_buckling": 0.04904658863163157,
      "fos_yielding": 0.6479367208431731,
      "deflection": 0.016357240025689845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.225)"
      },
      "parent_node_id": "node_1794",
      "improvement_over_parent": null
    },
    "node_1796": {
      "node_id": "node_1796",
      "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 247.96 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.96078275794582,
      "fos_buckling": 0.04903958830631723,
      "fos_yielding": 0.64784424208052,
      "deflection": 0.01600324500281661,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.587)"
      },
      "parent_node_id": "node_1795",
      "improvement_over_parent": null
    },
    "node_1797": {
      "node_id": "node_1797",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52392373716566,
      "fos_buckling": 1.540831980539819,
      "fos_yielding": 2.6493468000362634,
      "deflection": 0.00396011068570591,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_1796",
      "improvement_over_parent": null
    },
    "node_1798": {
      "node_id": "node_1798",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1797",
      "improvement_over_parent": null
    },
    "node_1799": {
      "node_id": "node_1799",
      "content": "INITIAL DESIGN (Trace 259)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 176.39 kg\n  Factor of Safety: 1.11\n  Max Deflection: 5.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.38947461426858,
      "fos_buckling": 1.107491660669653,
      "fos_yielding": 1.851814472134881,
      "deflection": 0.005712006645533391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1800": {
      "node_id": "node_1800",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 230.04 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.04187452572538,
      "fos_buckling": 1.3916783473675949,
      "fos_yielding": 2.4084819646337308,
      "deflection": 0.004393744141054169,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.330)"
      },
      "parent_node_id": "node_1799",
      "improvement_over_parent": null
    },
    "node_1801": {
      "node_id": "node_1801",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.14 kg\n  Factor of Safety: 1.51\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.1421493924206,
      "fos_buckling": 1.5113877135272926,
      "fos_yielding": 2.6575205819813204,
      "deflection": 0.003982770241760339,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_1800",
      "improvement_over_parent": null
    },
    "node_1802": {
      "node_id": "node_1802",
      "content": "MODIFICATION: Increase 17 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.83243936974367,
      "fos_buckling": 1.5423118273043512,
      "fos_yielding": 2.652493029983657,
      "deflection": 0.003955284831621215,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.282)"
      },
      "parent_node_id": "node_1801",
      "improvement_over_parent": null
    },
    "node_1803": {
      "node_id": "node_1803",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1802",
      "improvement_over_parent": null
    },
    "node_1804": {
      "node_id": "node_1804",
      "content": "INITIAL DESIGN (Trace 260)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 131.93 kg\n  Factor of Safety: 0.01\n  Max Deflection: 3.03e+14 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.93406965751558,
      "fos_buckling": 0.0065930238332032876,
      "fos_yielding": 0.0826279754942281,
      "deflection": 303494761165639.56,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1805": {
      "node_id": "node_1805",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n\nPerformance:\n  Mass: 154.30 kg\n  Factor of Safety: 0.04\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": 154.298584636997,
      "fos_buckling": 0.03633255627408535,
      "fos_yielding": 0.455342744908476,
      "deflection": 0.02628798251926527,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004018)"
      },
      "parent_node_id": "node_1804",
      "improvement_over_parent": null
    },
    "node_1806": {
      "node_id": "node_1806",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n  Mass: 160.99 kg\n  Factor of Safety: 0.86\n  Max Deflection: 6.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.9933908494918,
      "fos_buckling": 0.8614156571722368,
      "fos_yielding": 1.705406761198974,
      "deflection": 0.006482918356896031,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002879)"
      },
      "parent_node_id": "node_1805",
      "improvement_over_parent": null
    },
    "node_1807": {
      "node_id": "node_1807",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 174.36 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.35660571779965,
      "fos_buckling": 1.0278770528212362,
      "fos_yielding": 1.8710686403502075,
      "deflection": 0.005751090245839043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003106)"
      },
      "parent_node_id": "node_1806",
      "improvement_over_parent": null
    },
    "node_1808": {
      "node_id": "node_1808",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n  Mass: 209.64 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.63765986373588,
      "fos_buckling": 1.2064215320327971,
      "fos_yielding": 2.2453933267719237,
      "deflection": 0.004792813411043369,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_1807",
      "improvement_over_parent": null
    },
    "node_1809": {
      "node_id": "node_1809",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 249.04 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.03546347891273,
      "fos_buckling": 1.3941717122435184,
      "fos_yielding": 2.6616549981542748,
      "deflection": 0.004043628986823262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_1808",
      "improvement_over_parent": null
    },
    "node_1810": {
      "node_id": "node_1810",
      "content": "MODIFICATION: Increase 17 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0078)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 260.10 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.09645193245836,
      "fos_buckling": 1.4154332284126694,
      "fos_yielding": 2.6593575506736684,
      "deflection": 0.00396651103535472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.610)"
      },
      "parent_node_id": "node_1809",
      "improvement_over_parent": null
    },
    "node_1811": {
      "node_id": "node_1811",
      "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0093)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 265.36 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 265.35628415494295,
      "fos_buckling": 1.421868529113784,
      "fos_yielding": 2.6585638112285275,
      "deflection": 0.003944023416750305,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.200)"
      },
      "parent_node_id": "node_1810",
      "improvement_over_parent": null
    },
    "node_1812": {
      "node_id": "node_1812",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1811",
      "improvement_over_parent": null
    },
    "node_1813": {
      "node_id": "node_1813",
      "content": "INITIAL DESIGN (Trace 261)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 208.98 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.98148672247098,
      "fos_buckling": 1.0502594214941343,
      "fos_yielding": 2.146384133438583,
      "deflection": 0.00519382116258027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1814": {
      "node_id": "node_1814",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 225.83 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.8349000908617,
      "fos_buckling": 1.3700111679464226,
      "fos_yielding": 2.188702455890863,
      "deflection": 0.004603790045150559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003985)"
      },
      "parent_node_id": "node_1813",
      "improvement_over_parent": null
    },
    "node_1815": {
      "node_id": "node_1815",
      "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n\nPerformance:\n  Mass: 227.37 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.36533442278287,
      "fos_buckling": 1.390762009550826,
      "fos_yielding": 2.3422458651729166,
      "deflection": 0.0044774559947589575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.256)"
      },
      "parent_node_id": "node_1814",
      "improvement_over_parent": null
    },
    "node_1816": {
      "node_id": "node_1816",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.37248783406017,
      "fos_buckling": 1.5400609526048605,
      "fos_yielding": 2.647741121074849,
      "deflection": 0.003962272819558221,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.145)"
      },
      "parent_node_id": "node_1815",
      "improvement_over_parent": null
    },
    "node_1817": {
      "node_id": "node_1817",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1816",
      "improvement_over_parent": null
    },
    "node_1818": {
      "node_id": "node_1818",
      "content": "INITIAL DESIGN (Trace 262)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 147.52 kg\n  Factor of Safety: 0.19\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": 147.51806476248447,
      "fos_buckling": 0.19456645560554664,
      "fos_yielding": 0.9819666155343725,
      "deflection": 0.012512966473432557,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1819": {
      "node_id": "node_1819",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n  Mass: 150.69 kg\n  Factor of Safety: 0.19\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": 150.69110152620834,
      "fos_buckling": 0.19248092099024794,
      "fos_yielding": 0.9819172024077916,
      "deflection": 0.012134293957040606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001938)"
      },
      "parent_node_id": "node_1818",
      "improvement_over_parent": null
    },
    "node_1820": {
      "node_id": "node_1820",
      "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n  Mass: 151.76 kg\n  Factor of Safety: 0.19\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": 151.7587701945669,
      "fos_buckling": 0.1909154820277448,
      "fos_yielding": 0.9818340805745932,
      "deflection": 0.012055068233652173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.211)"
      },
      "parent_node_id": "node_1819",
      "improvement_over_parent": null
    },
    "node_1821": {
      "node_id": "node_1821",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 175.96 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.9632126740046,
      "fos_buckling": 0.2172358666334476,
      "fos_yielding": 1.1372331847865982,
      "deflection": 0.010407119959697586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_1820",
      "improvement_over_parent": null
    },
    "node_1822": {
      "node_id": "node_1822",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n\nPerformance:\n  Mass: 195.48 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.48371355703452,
      "fos_buckling": 1.0526638281094263,
      "fos_yielding": 2.0632601308722918,
      "deflection": 0.005187043383180339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003479)"
      },
      "parent_node_id": "node_1821",
      "improvement_over_parent": null
    },
    "node_1823": {
      "node_id": "node_1823",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n  Mass: 250.64 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.64359585242823,
      "fos_buckling": 1.3115847964562886,
      "fos_yielding": 2.6376670122546795,
      "deflection": 0.004058303111155053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_1822",
      "improvement_over_parent": null
    },
    "node_1824": {
      "node_id": "node_1824",
      "content": "MODIFICATION: Increase 13 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0050)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n\nPerformance:\n  Mass: 254.24 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.24458803858764,
      "fos_buckling": 1.2395770515356883,
      "fos_yielding": 2.621521411560023,
      "deflection": 0.004018836167994971,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.297)"
      },
      "parent_node_id": "node_1823",
      "improvement_over_parent": null
    },
    "node_1825": {
      "node_id": "node_1825",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1824",
      "improvement_over_parent": null
    },
    "node_1826": {
      "node_id": "node_1826",
      "content": "INITIAL DESIGN (Trace 263)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 188.22 kg\n  Factor of Safety: 1.18\n  Max Deflection: 5.38e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.21813034302394,
      "fos_buckling": 1.1787693975668296,
      "fos_yielding": 1.9575421024082824,
      "deflection": 0.005383528072068245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1827": {
      "node_id": "node_1827",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 225.07 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.0651811158514,
      "fos_buckling": 1.3726276988666692,
      "fos_yielding": 2.336563993405853,
      "deflection": 0.004511926429105259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_1826",
      "improvement_over_parent": null
    },
    "node_1828": {
      "node_id": "node_1828",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.01 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.0143317851857,
      "fos_buckling": 1.5262228907458766,
      "fos_yielding": 2.6538556867922556,
      "deflection": 0.003973708608610907,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_1827",
      "improvement_over_parent": null
    },
    "node_1829": {
      "node_id": "node_1829",
      "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.68839875560803,
      "fos_buckling": 1.5416035632903813,
      "fos_yielding": 2.650935440546389,
      "deflection": 0.0039575271819253235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.188)"
      },
      "parent_node_id": "node_1828",
      "improvement_over_parent": null
    },
    "node_1830": {
      "node_id": "node_1830",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1829",
      "improvement_over_parent": null
    },
    "node_1831": {
      "node_id": "node_1831",
      "content": "INITIAL DESIGN (Trace 264)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 172.83 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.83497666971746,
      "fos_buckling": 1.0326366276956307,
      "fos_yielding": 1.811260331776646,
      "deflection": 0.0058356850504353115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1832": {
      "node_id": "node_1832",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 195.77 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.76605186864163,
      "fos_buckling": 1.1637654309956271,
      "fos_yielding": 2.0491631068601435,
      "deflection": 0.005159180682256502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1831",
      "improvement_over_parent": null
    },
    "node_1833": {
      "node_id": "node_1833",
      "content": "MODIFICATION: Increase 16 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 197.06 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.0572545346094,
      "fos_buckling": 1.2559499114593902,
      "fos_yielding": 2.0413678015259,
      "deflection": 0.005173169347780683,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.368)"
      },
      "parent_node_id": "node_1832",
      "improvement_over_parent": null
    },
    "node_1834": {
      "node_id": "node_1834",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 198.19 kg\n  Factor of Safety: 1.24\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.1948746561938,
      "fos_buckling": 1.2379846632853493,
      "fos_yielding": 2.0444820376999084,
      "deflection": 0.005127756257971226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.230)"
      },
      "parent_node_id": "node_1833",
      "improvement_over_parent": null
    },
    "node_1835": {
      "node_id": "node_1835",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4255233409392,
      "fos_buckling": 1.5402612164297045,
      "fos_yielding": 2.648301826702651,
      "deflection": 0.003961428167084968,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_1834",
      "improvement_over_parent": null
    },
    "node_1836": {
      "node_id": "node_1836",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1835",
      "improvement_over_parent": null
    },
    "node_1837": {
      "node_id": "node_1837",
      "content": "INITIAL DESIGN (Trace 265)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 169.39 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.39481724202776,
      "fos_buckling": 0.9050231371638341,
      "fos_yielding": 1.8403076784596524,
      "deflection": 0.00597372614709579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1838": {
      "node_id": "node_1838",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 208.72 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.72443179253406,
      "fos_buckling": 1.0943454756488344,
      "fos_yielding": 2.262205971490478,
      "deflection": 0.004858293311338885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_1837",
      "improvement_over_parent": null
    },
    "node_1839": {
      "node_id": "node_1839",
      "content": "MODIFICATION: Increase 13 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 216.14 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.13598332907833,
      "fos_buckling": 1.124803849997382,
      "fos_yielding": 2.2746925233693323,
      "deflection": 0.0047071744199174296,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.399)"
      },
      "parent_node_id": "node_1838",
      "improvement_over_parent": null
    },
    "node_1840": {
      "node_id": "node_1840",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.81 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.81118186029965,
      "fos_buckling": 1.2904754023007392,
      "fos_yielding": 2.645312371786426,
      "deflection": 0.004048049666542057,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_1839",
      "improvement_over_parent": null
    },
    "node_1841": {
      "node_id": "node_1841",
      "content": "MODIFICATION: Increase 18 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.82622038916963,
      "fos_buckling": 1.54296535817303,
      "fos_yielding": 2.6520992355580395,
      "deflection": 0.003955527398507826,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.441)"
      },
      "parent_node_id": "node_1840",
      "improvement_over_parent": null
    },
    "node_1842": {
      "node_id": "node_1842",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 266)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0018)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.67 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.66744614844634,
      "fos_buckling": 0.9659627779809332,
      "fos_yielding": 1.2086339800713288,
      "deflection": 0.005746691213519227,
      "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 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.91 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.9084664403372,
      "fos_buckling": 1.1852125187072806,
      "fos_yielding": 1.5235254324352898,
      "deflection": 0.004588667091253027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_1843",
      "improvement_over_parent": null
    },
    "node_1845": {
      "node_id": "node_1845",
      "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.11 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.11374655388957,
      "fos_buckling": 1.1847803578060736,
      "fos_yielding": 1.5216598078769568,
      "deflection": 0.004572044595097904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.348)"
      },
      "parent_node_id": "node_1844",
      "improvement_over_parent": null
    },
    "node_1846": {
      "node_id": "node_1846",
      "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.94 kg\n  Factor of Safety: 1.43\n  Max Deflection: 4.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.94353040024382,
      "fos_buckling": 1.425310063313273,
      "fos_yielding": 1.5173317740460546,
      "deflection": 0.004398558339442667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.534)"
      },
      "parent_node_id": "node_1845",
      "improvement_over_parent": null
    },
    "node_1847": {
      "node_id": "node_1847",
      "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.10 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.09558190932466,
      "fos_buckling": 1.484702842444284,
      "fos_yielding": 1.8024245944350648,
      "deflection": 0.004236019801259227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.212)"
      },
      "parent_node_id": "node_1846",
      "improvement_over_parent": null
    },
    "node_1848": {
      "node_id": "node_1848",
      "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5181094786884,
      "fos_buckling": 1.5407653078107209,
      "fos_yielding": 2.649109649096523,
      "deflection": 0.003959950760471491,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.543)"
      },
      "parent_node_id": "node_1847",
      "improvement_over_parent": null
    },
    "node_1849": {
      "node_id": "node_1849",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1848",
      "improvement_over_parent": null
    },
    "node_1850": {
      "node_id": "node_1850",
      "content": "INITIAL DESIGN (Trace 267)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.72 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.7185146292351,
      "fos_buckling": 0.9210884900972813,
      "fos_yielding": 2.2731136114963117,
      "deflection": 0.004881400240859835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1851": {
      "node_id": "node_1851",
      "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.99 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.9871725825868,
      "fos_buckling": 0.9209457361110917,
      "fos_yielding": 2.2690598423750763,
      "deflection": 0.004835532683618724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.203)"
      },
      "parent_node_id": "node_1850",
      "improvement_over_parent": null
    },
    "node_1852": {
      "node_id": "node_1852",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 248.08 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.16e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.07691635739425,
      "fos_buckling": 1.180308023031861,
      "fos_yielding": 2.37559921146129,
      "deflection": 0.004159175271958256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1851",
      "improvement_over_parent": null
    },
    "node_1853": {
      "node_id": "node_1853",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 249.80 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.8045380093407,
      "fos_buckling": 1.2788754785717638,
      "fos_yielding": 2.6367527600366265,
      "deflection": 0.004073448643076991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.242)"
      },
      "parent_node_id": "node_1852",
      "improvement_over_parent": null
    },
    "node_1854": {
      "node_id": "node_1854",
      "content": "MODIFICATION: Increase 13 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5285834585375,
      "fos_buckling": 1.5406473386366046,
      "fos_yielding": 2.649383091452347,
      "deflection": 0.003959837136801407,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.350)"
      },
      "parent_node_id": "node_1853",
      "improvement_over_parent": null
    },
    "node_1855": {
      "node_id": "node_1855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1854",
      "improvement_over_parent": null
    },
    "node_1856": {
      "node_id": "node_1856",
      "content": "INITIAL DESIGN (Trace 268)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 146.84 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.19e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.84255906051095,
      "fos_buckling": 0.19632553733389904,
      "fos_yielding": 1.0042214512616492,
      "deflection": 0.011876605743392216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1857": {
      "node_id": "node_1857",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 148.30 kg\n  Factor of Safety: 0.19\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": 148.3010892204074,
      "fos_buckling": 0.1883948850365602,
      "fos_yielding": 1.004105286773858,
      "deflection": 0.011677938925243497,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.274)"
      },
      "parent_node_id": "node_1856",
      "improvement_over_parent": null
    },
    "node_1858": {
      "node_id": "node_1858",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 186.56 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.55927961234994,
      "fos_buckling": 0.2299872172170544,
      "fos_yielding": 1.2610882735177946,
      "deflection": 0.009297520996366404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_1857",
      "improvement_over_parent": null
    },
    "node_1859": {
      "node_id": "node_1859",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n  Mass: 214.19 kg\n  Factor of Safety: 0.42\n  Max Deflection: 5.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.188594229884,
      "fos_buckling": 0.4150492753949226,
      "fos_yielding": 2.1531632052459715,
      "deflection": 0.00516646978204016,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005041)"
      },
      "parent_node_id": "node_1858",
      "improvement_over_parent": null
    },
    "node_1860": {
      "node_id": "node_1860",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 222.81 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.8136873648811,
      "fos_buckling": 1.3669713977024498,
      "fos_yielding": 2.296522632933212,
      "deflection": 0.004567555676770727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003125)"
      },
      "parent_node_id": "node_1859",
      "improvement_over_parent": null
    },
    "node_1861": {
      "node_id": "node_1861",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.69686406151817,
      "fos_buckling": 1.5411466732356922,
      "fos_yielding": 2.6518224641070822,
      "deflection": 0.003957217032210737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_1860",
      "improvement_over_parent": null
    },
    "node_1862": {
      "node_id": "node_1862",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1861",
      "improvement_over_parent": null
    },
    "node_1863": {
      "node_id": "node_1863",
      "content": "INITIAL DESIGN (Trace 269)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 160.25 kg\n  Factor of Safety: 0.03\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": 160.25359573881107,
      "fos_buckling": 0.03461370860632675,
      "fos_yielding": 0.431068742088618,
      "deflection": 0.02418761632151445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1864": {
      "node_id": "node_1864",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 206.48 kg\n  Factor of Safety: 0.04\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": 206.47920052234383,
      "fos_buckling": 0.0430487278101329,
      "fos_yielding": 0.5540972731717492,
      "deflection": 0.018824299214735718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_1863",
      "improvement_over_parent": null
    },
    "node_1865": {
      "node_id": "node_1865",
      "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 207.75 kg\n  Factor of Safety: 0.04\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": 207.7542790884619,
      "fos_buckling": 0.0430461226001755,
      "fos_yielding": 0.5540637404796844,
      "deflection": 0.018812974546812255,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.235)"
      },
      "parent_node_id": "node_1864",
      "improvement_over_parent": null
    },
    "node_1866": {
      "node_id": "node_1866",
      "content": "MODIFICATION: Increase 11 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 209.65 kg\n  Factor of Safety: 0.04\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": 209.65016671732764,
      "fos_buckling": 0.04304612260017549,
      "fos_yielding": 0.5540637404796843,
      "deflection": 0.01879856867697554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.280)"
      },
      "parent_node_id": "node_1865",
      "improvement_over_parent": null
    },
    "node_1867": {
      "node_id": "node_1867",
      "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 211.73 kg\n  Factor of Safety: 0.04\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": 211.72542562987226,
      "fos_buckling": 0.04304188315508792,
      "fos_yielding": 0.5540091728981951,
      "deflection": 0.0187063472283827,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.395)"
      },
      "parent_node_id": "node_1866",
      "improvement_over_parent": null
    },
    "node_1868": {
      "node_id": "node_1868",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.96 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.9626061201282,
      "fos_buckling": 0.04903876737493599,
      "fos_yielding": 0.6478310511056135,
      "deflection": 0.01600350362452746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_1867",
      "improvement_over_parent": null
    },
    "node_1869": {
      "node_id": "node_1869",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52574709934805,
      "fos_buckling": 1.540773574417993,
      "fos_yielding": 2.6493175612753697,
      "deflection": 0.003959809795809651,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_1868",
      "improvement_over_parent": null
    },
    "node_1870": {
      "node_id": "node_1870",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1869",
      "improvement_over_parent": null
    },
    "node_1871": {
      "node_id": "node_1871",
      "content": "INITIAL DESIGN (Trace 270)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 198.01 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.44e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.00707348749634,
      "fos_buckling": 1.0076181197705463,
      "fos_yielding": 1.9623807254697803,
      "deflection": 0.005442385222643416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1872": {
      "node_id": "node_1872",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.72 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.72473750982775,
      "fos_buckling": 1.163832687637287,
      "fos_yielding": 2.337448571705734,
      "deflection": 0.004580633625765438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1871",
      "improvement_over_parent": null
    },
    "node_1873": {
      "node_id": "node_1873",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 249.12 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.11625504699632,
      "fos_buckling": 1.293491757878189,
      "fos_yielding": 2.423471231947659,
      "deflection": 0.004105147211428545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003113)"
      },
      "parent_node_id": "node_1872",
      "improvement_over_parent": null
    },
    "node_1874": {
      "node_id": "node_1874",
      "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 250.59 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.5887769627627,
      "fos_buckling": 1.291463439790087,
      "fos_yielding": 2.6587872746796535,
      "deflection": 0.004032888127308716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.200)"
      },
      "parent_node_id": "node_1873",
      "improvement_over_parent": null
    },
    "node_1875": {
      "node_id": "node_1875",
      "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0057)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 256.14 kg\n  Factor of Safety: 1.29\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.14288976293,
      "fos_buckling": 1.2933526775843094,
      "fos_yielding": 2.637010134538389,
      "deflection": 0.003981663588776514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.466)"
      },
      "parent_node_id": "node_1874",
      "improvement_over_parent": null
    },
    "node_1876": {
      "node_id": "node_1876",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0057)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.49\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.42088853144855,
      "fos_buckling": 1.4906220205132137,
      "fos_yielding": 2.6377186184076487,
      "deflection": 0.003958833017373421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.408)"
      },
      "parent_node_id": "node_1875",
      "improvement_over_parent": null
    },
    "node_1877": {
      "node_id": "node_1877",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1876",
      "improvement_over_parent": null
    },
    "node_1878": {
      "node_id": "node_1878",
      "content": "INITIAL DESIGN (Trace 271)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 157.18 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.17616602095902,
      "fos_buckling": 0.676933737823903,
      "fos_yielding": 1.8758396806092625,
      "deflection": 0.006433817408623325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1879": {
      "node_id": "node_1879",
      "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 158.19 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.19407273760442,
      "fos_buckling": 0.676874592278265,
      "fos_yielding": 1.8757848292722012,
      "deflection": 0.006434087328937725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.486)"
      },
      "parent_node_id": "node_1878",
      "improvement_over_parent": null
    },
    "node_1880": {
      "node_id": "node_1880",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 170.55 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.56e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.55167122043972,
      "fos_buckling": 0.8467791037433224,
      "fos_yielding": 1.8751191784452599,
      "deflection": 0.00556278524053226,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002955)"
      },
      "parent_node_id": "node_1879",
      "improvement_over_parent": null
    },
    "node_1881": {
      "node_id": "node_1881",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 175.06 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.05904707562607,
      "fos_buckling": 1.024395245413984,
      "fos_yielding": 1.817012464916539,
      "deflection": 0.0057040528104812475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001785)"
      },
      "parent_node_id": "node_1880",
      "improvement_over_parent": null
    },
    "node_1882": {
      "node_id": "node_1882",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 221.05 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.0481906749981,
      "fos_buckling": 1.2688337938092373,
      "fos_yielding": 2.289524453598774,
      "deflection": 0.004530479391652647,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_1881",
      "improvement_over_parent": null
    },
    "node_1883": {
      "node_id": "node_1883",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 255.27 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.27430774071448,
      "fos_buckling": 1.4437853966346188,
      "fos_yielding": 2.6398801709204327,
      "deflection": 0.003931568935306514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.170)"
      },
      "parent_node_id": "node_1882",
      "improvement_over_parent": null
    },
    "node_1884": {
      "node_id": "node_1884",
      "content": "MODIFICATION: Increase 9 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.93 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.92787436339233,
      "fos_buckling": 1.542758360979791,
      "fos_yielding": 2.653414781351014,
      "deflection": 0.003953892540999375,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.560)"
      },
      "parent_node_id": "node_1883",
      "improvement_over_parent": null
    },
    "node_1885": {
      "node_id": "node_1885",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1884",
      "improvement_over_parent": null
    },
    "node_1886": {
      "node_id": "node_1886",
      "content": "INITIAL DESIGN (Trace 272)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 210.90 kg\n  Factor of Safety: 0.40\n  Max Deflection: 1.31e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.90159145037921,
      "fos_buckling": 0.3968182593267218,
      "fos_yielding": 1.2347365081427408,
      "deflection": 0.013107373822391608,
      "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 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 211.88 kg\n  Factor of Safety: 0.40\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": 211.8806817082349,
      "fos_buckling": 0.3968071257552545,
      "fos_yielding": 1.25871137411905,
      "deflection": 0.013027642467148336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_1886",
      "improvement_over_parent": null
    },
    "node_1888": {
      "node_id": "node_1888",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 219.23 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.23214720522077,
      "fos_buckling": 1.3489343930347109,
      "fos_yielding": 2.2593221150685605,
      "deflection": 0.004641444181376762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003374)"
      },
      "parent_node_id": "node_1887",
      "improvement_over_parent": null
    },
    "node_1889": {
      "node_id": "node_1889",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55295456099105,
      "fos_buckling": 1.5409369898129899,
      "fos_yielding": 2.6496018455579615,
      "deflection": 0.00395958722936354,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_1888",
      "improvement_over_parent": null
    },
    "node_1890": {
      "node_id": "node_1890",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1889",
      "improvement_over_parent": null
    },
    "node_1891": {
      "node_id": "node_1891",
      "content": "INITIAL DESIGN (Trace 273)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.58 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.5799724062364,
      "fos_buckling": 0.587327190439303,
      "fos_yielding": 2.2756444181510567,
      "deflection": 0.0050378463917466415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1892": {
      "node_id": "node_1892",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 226.66 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.6593297959166,
      "fos_buckling": 0.5873088263752773,
      "fos_yielding": 2.275574049589964,
      "deflection": 0.00502140378227438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.302)"
      },
      "parent_node_id": "node_1891",
      "improvement_over_parent": null
    },
    "node_1893": {
      "node_id": "node_1893",
      "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 227.66 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.65809040724568,
      "fos_buckling": 0.587325819135196,
      "fos_yielding": 2.2755089394016013,
      "deflection": 0.00501486674750586,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.295)"
      },
      "parent_node_id": "node_1892",
      "improvement_over_parent": null
    },
    "node_1894": {
      "node_id": "node_1894",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 234.22 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.2168785953953,
      "fos_buckling": 0.6711595401133238,
      "fos_yielding": 2.274226977141125,
      "deflection": 0.005142331477365737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_1893",
      "improvement_over_parent": null
    },
    "node_1895": {
      "node_id": "node_1895",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 255.17 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.1730626022109,
      "fos_buckling": 1.4692621030696216,
      "fos_yielding": 2.653726028661821,
      "deflection": 0.0039840438540473385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1894",
      "improvement_over_parent": null
    },
    "node_1896": {
      "node_id": "node_1896",
      "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5249146196627,
      "fos_buckling": 1.540788001485678,
      "fos_yielding": 2.649379214772621,
      "deflection": 0.003959940570838235,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.284)"
      },
      "parent_node_id": "node_1895",
      "improvement_over_parent": null
    },
    "node_1897": {
      "node_id": "node_1897",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 274)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.56 kg\n  Factor of Safety: 0.52\n  Max Deflection: 5.59e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.5628828142568,
      "fos_buckling": 0.5175316386687124,
      "fos_yielding": 1.7454088091250117,
      "deflection": 0.005590594972565213,
      "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: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n  Mass: 173.13 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.1283113488185,
      "fos_buckling": 1.0237011593202672,
      "fos_yielding": 1.7968320316080946,
      "deflection": 0.005771564978882254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001404)"
      },
      "parent_node_id": "node_1898",
      "improvement_over_parent": null
    },
    "node_1900": {
      "node_id": "node_1900",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n  Mass: 223.69 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.68632770737347,
      "fos_buckling": 1.294893643676682,
      "fos_yielding": 2.3161750444295013,
      "deflection": 0.004481326491249525,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_1899",
      "improvement_over_parent": null
    },
    "node_1901": {
      "node_id": "node_1901",
      "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0048)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n\nPerformance:\n  Mass: 227.71 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.71199191392301,
      "fos_buckling": 1.2779951373838119,
      "fos_yielding": 2.3297341185543234,
      "deflection": 0.004425148052548249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.522)"
      },
      "parent_node_id": "node_1900",
      "improvement_over_parent": null
    },
    "node_1902": {
      "node_id": "node_1902",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0056)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 259.34 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.34448994758964,
      "fos_buckling": 1.443253730110195,
      "fos_yielding": 2.650239314980002,
      "deflection": 0.003892661495961857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_1901",
      "improvement_over_parent": null
    },
    "node_1903": {
      "node_id": "node_1903",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1902",
      "improvement_over_parent": null
    },
    "node_1904": {
      "node_id": "node_1904",
      "content": "INITIAL DESIGN (Trace 275)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 135.40 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.65e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.3976274295332,
      "fos_buckling": 0.5929418823016975,
      "fos_yielding": 1.4523027896757887,
      "deflection": 0.006653719398221162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1905": {
      "node_id": "node_1905",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n\nPerformance:\n  Mass: 146.31 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.31146571871102,
      "fos_buckling": 0.8466448428511804,
      "fos_yielding": 1.6493101692131953,
      "deflection": 0.006061332680849856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002587)"
      },
      "parent_node_id": "node_1904",
      "improvement_over_parent": null
    },
    "node_1906": {
      "node_id": "node_1906",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n\nPerformance:\n  Mass: 151.05 kg\n  Factor of Safety: 0.94\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.05371485312764,
      "fos_buckling": 0.9385853455223665,
      "fos_yielding": 1.65275769631895,
      "deflection": 0.006435755236003689,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001892)"
      },
      "parent_node_id": "node_1905",
      "improvement_over_parent": null
    },
    "node_1907": {
      "node_id": "node_1907",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n  Mass: 185.72 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.71978337395564,
      "fos_buckling": 1.1273437091390432,
      "fos_yielding": 2.0282858707317493,
      "deflection": 0.005245643419197379,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_1906",
      "improvement_over_parent": null
    },
    "node_1908": {
      "node_id": "node_1908",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n  Mass: 190.60 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.34e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.60057501021006,
      "fos_buckling": 1.2019736144704205,
      "fos_yielding": 1.9768723081130515,
      "deflection": 0.005342055278853044,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001943)"
      },
      "parent_node_id": "node_1907",
      "improvement_over_parent": null
    },
    "node_1909": {
      "node_id": "node_1909",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 224.92 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.9210703862659,
      "fos_buckling": 1.3836905194063613,
      "fos_yielding": 2.3290418244605924,
      "deflection": 0.004535739361231399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_1908",
      "improvement_over_parent": null
    },
    "node_1910": {
      "node_id": "node_1910",
      "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 226.01 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.0056402807528,
      "fos_buckling": 1.3838111708699352,
      "fos_yielding": 2.328377617674301,
      "deflection": 0.004504162134153965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.309)"
      },
      "parent_node_id": "node_1909",
      "improvement_over_parent": null
    },
    "node_1911": {
      "node_id": "node_1911",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.28 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2761403983729,
      "fos_buckling": 1.5395959387349887,
      "fos_yielding": 2.6467552387157802,
      "deflection": 0.003963840633659858,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_1910",
      "improvement_over_parent": null
    },
    "node_1912": {
      "node_id": "node_1912",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1911",
      "improvement_over_parent": null
    },
    "node_1913": {
      "node_id": "node_1913",
      "content": "INITIAL DESIGN (Trace 276)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 224.92 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.92286729548883,
      "fos_buckling": 1.1952467017574337,
      "fos_yielding": 2.386222959985475,
      "deflection": 0.004535106666585848,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1914": {
      "node_id": "node_1914",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.60 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.60098943765007,
      "fos_buckling": 1.3251424142101926,
      "fos_yielding": 2.6757626058458968,
      "deflection": 0.004044328161539406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.135)"
      },
      "parent_node_id": "node_1913",
      "improvement_over_parent": null
    },
    "node_1915": {
      "node_id": "node_1915",
      "content": "MODIFICATION: Increase 15 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.6035259714422,
      "fos_buckling": 1.540140109909655,
      "fos_yielding": 2.64858370740304,
      "deflection": 0.003978265397765341,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.451)"
      },
      "parent_node_id": "node_1914",
      "improvement_over_parent": null
    },
    "node_1916": {
      "node_id": "node_1916",
      "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.39818181897306,
      "fos_buckling": 1.540216376012777,
      "fos_yielding": 2.6481282920851457,
      "deflection": 0.003961891994866494,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.183)"
      },
      "parent_node_id": "node_1915",
      "improvement_over_parent": null
    },
    "node_1917": {
      "node_id": "node_1917",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1916",
      "improvement_over_parent": null
    },
    "node_1918": {
      "node_id": "node_1918",
      "content": "INITIAL DESIGN (Trace 277)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 167.45 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.44776362891736,
      "fos_buckling": 0.2193755007987103,
      "fos_yielding": 1.1816762185355758,
      "deflection": 0.010001126468054516,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1919": {
      "node_id": "node_1919",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 175.53 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.01e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.52692010942062,
      "fos_buckling": 0.2241913233800166,
      "fos_yielding": 1.1810713925243748,
      "deflection": 0.010099997311272856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002912)"
      },
      "parent_node_id": "node_1918",
      "improvement_over_parent": null
    },
    "node_1920": {
      "node_id": "node_1920",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 216.89 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.89013044659978,
      "fos_buckling": 0.26750027324218345,
      "fos_yielding": 1.4559009584345912,
      "deflection": 0.008191462728816937,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_1919",
      "improvement_over_parent": null
    },
    "node_1921": {
      "node_id": "node_1921",
      "content": "MODIFICATION: Increase 19 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n\nPerformance:\n  Mass: 222.01 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.20e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.00528269377082,
      "fos_buckling": 0.2661285315396912,
      "fos_yielding": 1.4554301767930848,
      "deflection": 0.008201654615690238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.600)"
      },
      "parent_node_id": "node_1920",
      "improvement_over_parent": null
    },
    "node_1922": {
      "node_id": "node_1922",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 253.96 kg\n  Factor of Safety: 1.21\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.95522506750834,
      "fos_buckling": 1.2056233249631723,
      "fos_yielding": 2.67089083543728,
      "deflection": 0.004021641410831218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_1921",
      "improvement_over_parent": null
    },
    "node_1923": {
      "node_id": "node_1923",
      "content": "MODIFICATION: Increase 11 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 256.52 kg\n  Factor of Safety: 1.24\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.5243912133808,
      "fos_buckling": 1.238882975401884,
      "fos_yielding": 2.6714754475216425,
      "deflection": 0.003994700414527444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.269)"
      },
      "parent_node_id": "node_1922",
      "improvement_over_parent": null
    },
    "node_1924": {
      "node_id": "node_1924",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1923",
      "improvement_over_parent": null
    },
    "node_1925": {
      "node_id": "node_1925",
      "content": "INITIAL DESIGN (Trace 278)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 171.68 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.68259946494686,
      "fos_buckling": 0.7829287608495864,
      "fos_yielding": 1.9907230345516755,
      "deflection": 0.006308860229787782,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1926": {
      "node_id": "node_1926",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 186.67 kg\n  Factor of Safety: 0.90\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.66989493489856,
      "fos_buckling": 0.8955439422492043,
      "fos_yielding": 2.022552695485096,
      "deflection": 0.006011134989286867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003627)"
      },
      "parent_node_id": "node_1925",
      "improvement_over_parent": null
    },
    "node_1927": {
      "node_id": "node_1927",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 224.74 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.7438691962083,
      "fos_buckling": 1.0452317262598099,
      "fos_yielding": 2.4312433978570644,
      "deflection": 0.0050041213784028805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_1926",
      "improvement_over_parent": null
    },
    "node_1928": {
      "node_id": "node_1928",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 238.49 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.4933376623957,
      "fos_buckling": 1.163721425223544,
      "fos_yielding": 2.4286030492287143,
      "deflection": 0.00447848752182466,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_1927",
      "improvement_over_parent": null
    },
    "node_1929": {
      "node_id": "node_1929",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5830814372032,
      "fos_buckling": 1.5410968911143905,
      "fos_yielding": 2.6500047659329775,
      "deflection": 0.003959051899514653,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_1928",
      "improvement_over_parent": null
    },
    "node_1930": {
      "node_id": "node_1930",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 279)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 221.14 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.1425531027688,
      "fos_buckling": 0.6565456176813149,
      "fos_yielding": 1.9169797475919972,
      "deflection": 0.0056269545242324265,
      "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: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.07 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.06923841403872,
      "fos_buckling": 0.6566698491613185,
      "fos_yielding": 2.2755393908660033,
      "deflection": 0.005467695156408895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.580)"
      },
      "parent_node_id": "node_1931",
      "improvement_over_parent": null
    },
    "node_1933": {
      "node_id": "node_1933",
      "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 229.92 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.37e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.9247712759292,
      "fos_buckling": 0.6736804539576402,
      "fos_yielding": 2.275092560507901,
      "deflection": 0.005374968684075408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.300)"
      },
      "parent_node_id": "node_1932",
      "improvement_over_parent": null
    },
    "node_1934": {
      "node_id": "node_1934",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 236.57 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.56737150474854,
      "fos_buckling": 0.6738385526974103,
      "fos_yielding": 2.2742271562055865,
      "deflection": 0.00511585509067783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1933",
      "improvement_over_parent": null
    },
    "node_1935": {
      "node_id": "node_1935",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52355551156415,
      "fos_buckling": 1.5405395863549964,
      "fos_yielding": 2.649356916293941,
      "deflection": 0.003959974736070495,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1934",
      "improvement_over_parent": null
    },
    "node_1936": {
      "node_id": "node_1936",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 280)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 182.75 kg\n  Factor of Safety: 0.20\n  Max Deflection: 7.28e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.74634852362,
      "fos_buckling": 0.20109650863477913,
      "fos_yielding": 0.6295486994642479,
      "deflection": 7279618168211.701,
      "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: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 196.50 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.17e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.4958169898074,
      "fos_buckling": 1.3565679090079898,
      "fos_yielding": 3.6794927536548423,
      "deflection": 4174686924120.2266,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_1937",
      "improvement_over_parent": null
    },
    "node_1939": {
      "node_id": "node_1939",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 217.75 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.75094307169954,
      "fos_buckling": 0.9121286375986115,
      "fos_yielding": 1.8028850271735082,
      "deflection": 0.005431653141998872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_1938",
      "improvement_over_parent": null
    },
    "node_1940": {
      "node_id": "node_1940",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 235.79 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.7934792744472,
      "fos_buckling": 0.927111380260183,
      "fos_yielding": 2.5984040722072055,
      "deflection": 0.004689781962071747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_1939",
      "improvement_over_parent": null
    },
    "node_1941": {
      "node_id": "node_1941",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 239.55 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.546676148341,
      "fos_buckling": 0.926715674283706,
      "fos_yielding": 2.6307228344088855,
      "deflection": 0.00457712076547639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.661)"
      },
      "parent_node_id": "node_1940",
      "improvement_over_parent": null
    },
    "node_1942": {
      "node_id": "node_1942",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53604071500087,
      "fos_buckling": 1.540820865033159,
      "fos_yielding": 2.6493897419361954,
      "deflection": 0.003959818170632451,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_1941",
      "improvement_over_parent": null
    },
    "node_1943": {
      "node_id": "node_1943",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1942",
      "improvement_over_parent": null
    },
    "node_1944": {
      "node_id": "node_1944",
      "content": "INITIAL DESIGN (Trace 281)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 173.74 kg\n  Factor of Safety: 0.28\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": 173.74095831512855,
      "fos_buckling": 0.2803104942556363,
      "fos_yielding": 0.9899770636466713,
      "deflection": 0.02237754032815008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1945": {
      "node_id": "node_1945",
      "content": "MODIFICATION: Increase 11 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 177.87 kg\n  Factor of Safety: 0.28\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": 177.87415523122,
      "fos_buckling": 0.2802773778843992,
      "fos_yielding": 0.9898599272426241,
      "deflection": 0.022280564449922217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.208)"
      },
      "parent_node_id": "node_1944",
      "improvement_over_parent": null
    },
    "node_1946": {
      "node_id": "node_1946",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.24 kg\n  Factor of Safety: 0.34\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": 223.23773938344038,
      "fos_buckling": 0.3381612768592018,
      "fos_yielding": 1.2385423696583404,
      "deflection": 0.017807378009041204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_1945",
      "improvement_over_parent": null
    },
    "node_1947": {
      "node_id": "node_1947",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n  Mass: 239.42 kg\n  Factor of Safety: 0.34\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.41832471490181,
      "fos_buckling": 0.3380054829201377,
      "fos_yielding": 1.2379706711783762,
      "deflection": 0.017657644471327262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003813)"
      },
      "parent_node_id": "node_1946",
      "improvement_over_parent": null
    },
    "node_1948": {
      "node_id": "node_1948",
      "content": "MODIFICATION: Increase 12 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n  Mass: 241.84 kg\n  Factor of Safety: 0.34\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": 241.84478047775303,
      "fos_buckling": 0.3379354407121055,
      "fos_yielding": 1.2377136459503308,
      "deflection": 0.017660212290233315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.198)"
      },
      "parent_node_id": "node_1947",
      "improvement_over_parent": null
    },
    "node_1949": {
      "node_id": "node_1949",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 250.48 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.4816440054066,
      "fos_buckling": 1.3166085914953887,
      "fos_yielding": 2.629368658720287,
      "deflection": 0.004028701103791261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1948",
      "improvement_over_parent": null
    },
    "node_1950": {
      "node_id": "node_1950",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.12 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.1242442342259,
      "fos_buckling": 1.5220712086774655,
      "fos_yielding": 2.6433806530848742,
      "deflection": 0.003954798766470798,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_1949",
      "improvement_over_parent": null
    },
    "node_1951": {
      "node_id": "node_1951",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1950",
      "improvement_over_parent": null
    },
    "node_1952": {
      "node_id": "node_1952",
      "content": "INITIAL DESIGN (Trace 282)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 196.18 kg\n  Factor of Safety: 0.37\n  Max Deflection: 6.48e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.18437982979725,
      "fos_buckling": 0.3744726247145988,
      "fos_yielding": 1.259620395913652,
      "deflection": 6484955859725.207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1953": {
      "node_id": "node_1953",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 202.00 kg\n  Factor of Safety: 0.21\n  Max Deflection: 4.41e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.99651402231459,
      "fos_buckling": 0.2068496747614892,
      "fos_yielding": 1.4689185603634651,
      "deflection": 4411667278436.816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002345)"
      },
      "parent_node_id": "node_1952",
      "improvement_over_parent": null
    },
    "node_1954": {
      "node_id": "node_1954",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 228.10 kg\n  Factor of Safety: 0.19\n  Max Deflection: 6.26e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.09942556945083,
      "fos_buckling": 0.19071230123791108,
      "fos_yielding": 2.5195651180555054,
      "deflection": 6257272114904.322,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_1953",
      "improvement_over_parent": null
    },
    "node_1955": {
      "node_id": "node_1955",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 236.74 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.7362890971044,
      "fos_buckling": 0.6742139575320718,
      "fos_yielding": 2.2742227860257698,
      "deflection": 0.005112719193592396,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_1954",
      "improvement_over_parent": null
    },
    "node_1956": {
      "node_id": "node_1956",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.69247310392,
      "fos_buckling": 1.5417103048878662,
      "fos_yielding": 2.6512267377672964,
      "deflection": 0.0039575484120883304,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_1955",
      "improvement_over_parent": null
    },
    "node_1957": {
      "node_id": "node_1957",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1956",
      "improvement_over_parent": null
    },
    "node_1958": {
      "node_id": "node_1958",
      "content": "INITIAL DESIGN (Trace 283)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 185.36 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.40e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.36113237784957,
      "fos_buckling": 0.3856944971733677,
      "fos_yielding": 1.2172549900435525,
      "deflection": 0.013990728634033325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1959": {
      "node_id": "node_1959",
      "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 186.66 kg\n  Factor of Safety: 0.39\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": 186.65535310535975,
      "fos_buckling": 0.38563719110323674,
      "fos_yielding": 1.21707462393085,
      "deflection": 0.01375565235704863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.202)"
      },
      "parent_node_id": "node_1958",
      "improvement_over_parent": null
    },
    "node_1960": {
      "node_id": "node_1960",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n  Mass: 193.75 kg\n  Factor of Safety: 0.69\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.7521465052203,
      "fos_buckling": 0.6857133436586095,
      "fos_yielding": 2.0732850615249445,
      "deflection": 0.005971814193590485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003248)"
      },
      "parent_node_id": "node_1959",
      "improvement_over_parent": null
    },
    "node_1961": {
      "node_id": "node_1961",
      "content": "MODIFICATION: Increase 13 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0050)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n  Mass: 198.86 kg\n  Factor of Safety: 0.65\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.85883223830484,
      "fos_buckling": 0.6466757034266458,
      "fos_yielding": 2.0729814221475973,
      "deflection": 0.005945473395800136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.361)"
      },
      "parent_node_id": "node_1960",
      "improvement_over_parent": null
    },
    "node_1962": {
      "node_id": "node_1962",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0062)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 241.90 kg\n  Factor of Safety: 0.77\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.89990823854689,
      "fos_buckling": 0.7655319920228928,
      "fos_yielding": 2.516744786550797,
      "deflection": 0.004895841142830125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.238)"
      },
      "parent_node_id": "node_1961",
      "improvement_over_parent": null
    },
    "node_1963": {
      "node_id": "node_1963",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0062)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 255.65 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.6493767047343,
      "fos_buckling": 1.2860863432690692,
      "fos_yielding": 2.6290866067978462,
      "deflection": 0.00403608092815748,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_1962",
      "improvement_over_parent": null
    },
    "node_1964": {
      "node_id": "node_1964",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1963",
      "improvement_over_parent": null
    },
    "node_1965": {
      "node_id": "node_1965",
      "content": "INITIAL DESIGN (Trace 284)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 138.16 kg\n  Factor of Safety: 0.33\n  Max Deflection: 8.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.15663496810845,
      "fos_buckling": 0.32566490448824237,
      "fos_yielding": 1.2728467174644424,
      "deflection": 0.008242598195845179,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1966": {
      "node_id": "node_1966",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 143.46 kg\n  Factor of Safety: 0.33\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.4611391483269,
      "fos_buckling": 0.32556609315119567,
      "fos_yielding": 1.2724605177718296,
      "deflection": 0.008315541719065794,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002130)"
      },
      "parent_node_id": "node_1965",
      "improvement_over_parent": null
    },
    "node_1967": {
      "node_id": "node_1967",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 155.67 kg\n  Factor of Safety: 0.32\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.67122656819814,
      "fos_buckling": 0.3249986382594486,
      "fos_yielding": 1.2702426457005223,
      "deflection": 0.008130967477725575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002913)"
      },
      "parent_node_id": "node_1966",
      "improvement_over_parent": null
    },
    "node_1968": {
      "node_id": "node_1968",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 170.06 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.05663577375728,
      "fos_buckling": 0.8346238474083952,
      "fos_yielding": 1.5863937097557526,
      "deflection": 0.006113872217723906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003162)"
      },
      "parent_node_id": "node_1967",
      "improvement_over_parent": null
    },
    "node_1969": {
      "node_id": "node_1969",
      "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 171.69 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.69234091615849,
      "fos_buckling": 0.851791808312304,
      "fos_yielding": 1.7987833090659344,
      "deflection": 0.005902449405561101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.412)"
      },
      "parent_node_id": "node_1968",
      "improvement_over_parent": null
    },
    "node_1970": {
      "node_id": "node_1970",
      "content": "MODIFICATION: Increase 12 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 183.22 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.2199417566906,
      "fos_buckling": 0.8502349411362794,
      "fos_yielding": 1.809105601655206,
      "deflection": 0.005700791858230011,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.587)"
      },
      "parent_node_id": "node_1969",
      "improvement_over_parent": null
    },
    "node_1971": {
      "node_id": "node_1971",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0077)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 224.37 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.36540681485212,
      "fos_buckling": 1.0256142613949673,
      "fos_yielding": 2.2143439830570464,
      "deflection": 0.004661455653617965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_1970",
      "improvement_over_parent": null
    },
    "node_1972": {
      "node_id": "node_1972",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0094)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 269.84 kg\n  Factor of Safety: 1.21\n  Max Deflection: 3.88e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 269.84470234015276,
      "fos_buckling": 1.2128623556314748,
      "fos_yielding": 2.66213013439705,
      "deflection": 0.003881160103745849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_1971",
      "improvement_over_parent": null
    },
    "node_1973": {
      "node_id": "node_1973",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1972",
      "improvement_over_parent": null
    },
    "node_1974": {
      "node_id": "node_1974",
      "content": "INITIAL DESIGN (Trace 285)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n  Mass: 147.58 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.56e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.58167467824086,
      "fos_buckling": 0.7880080008995666,
      "fos_yielding": 1.6536728013649995,
      "deflection": 0.006557870403597167,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1975": {
      "node_id": "node_1975",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n\nPerformance:\n  Mass: 151.55 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.55252763959146,
      "fos_buckling": 0.784266920388577,
      "fos_yielding": 1.6125697715531606,
      "deflection": 0.006674264043923915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001561)"
      },
      "parent_node_id": "node_1974",
      "improvement_over_parent": null
    },
    "node_1976": {
      "node_id": "node_1976",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 194.06 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.23e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.06050897357187,
      "fos_buckling": 0.9853998577329011,
      "fos_yielding": 2.060123535180439,
      "deflection": 0.005225066520760361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_1975",
      "improvement_over_parent": null
    },
    "node_1977": {
      "node_id": "node_1977",
      "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0031)]\n\nPerformance:\n  Mass: 196.47 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.472129808948,
      "fos_buckling": 0.9844222480394519,
      "fos_yielding": 2.050899926505844,
      "deflection": 0.005241741670587367,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.529)"
      },
      "parent_node_id": "node_1976",
      "improvement_over_parent": null
    },
    "node_1978": {
      "node_id": "node_1978",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0041)]\n\nPerformance:\n  Mass: 253.56 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.56085566808073,
      "fos_buckling": 1.2387727709037197,
      "fos_yielding": 2.640400078073735,
      "deflection": 0.004072318076584604,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_1977",
      "improvement_over_parent": null
    },
    "node_1979": {
      "node_id": "node_1979",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 286)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 118.25 kg\n  Factor of Safety: 0.43\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": 118.25100696940682,
      "fos_buckling": 0.42841250178707624,
      "fos_yielding": 1.1221485883226812,
      "deflection": 0.014421175987943357,
      "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 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 119.92 kg\n  Factor of Safety: 0.43\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": 119.91626718688079,
      "fos_buckling": 0.428412501787076,
      "fos_yielding": 1.1220747879916642,
      "deflection": 0.014436822767694257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.189)"
      },
      "parent_node_id": "node_1980",
      "improvement_over_parent": null
    },
    "node_1982": {
      "node_id": "node_1982",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 157.48 kg\n  Factor of Safety: 0.55\n  Max Deflection: 1.10e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.4796123906884,
      "fos_buckling": 0.5468026176546665,
      "fos_yielding": 1.4702483299065752,
      "deflection": 0.011027549546370441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_1981",
      "improvement_over_parent": null
    },
    "node_1983": {
      "node_id": "node_1983",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 188.11 kg\n  Factor of Safety: 0.64\n  Max Deflection: 9.26e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.11303284980596,
      "fos_buckling": 0.637813730928476,
      "fos_yielding": 1.7530320006044637,
      "deflection": 0.009255187939490048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_1982",
      "improvement_over_parent": null
    },
    "node_1984": {
      "node_id": "node_1984",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 194.39 kg\n  Factor of Safety: 0.55\n  Max Deflection: 6.40e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.39106079670333,
      "fos_buckling": 0.5484823290918662,
      "fos_yielding": 1.9498251244740818,
      "deflection": 0.006399850121998403,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002550)"
      },
      "parent_node_id": "node_1983",
      "improvement_over_parent": null
    },
    "node_1985": {
      "node_id": "node_1985",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 242.55 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.55042030792,
      "fos_buckling": 0.6636111013459678,
      "fos_yielding": 2.4278555397508335,
      "deflection": 0.0051416730200664175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_1984",
      "improvement_over_parent": null
    },
    "node_1986": {
      "node_id": "node_1986",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 247.55 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.55364691658633,
      "fos_buckling": 0.4690576462127851,
      "fos_yielding": 2.484316911959441,
      "deflection": 0.004477872808510501,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_1985",
      "improvement_over_parent": null
    },
    "node_1987": {
      "node_id": "node_1987",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52540031528196,
      "fos_buckling": 1.5407479118403193,
      "fos_yielding": 2.649244166404008,
      "deflection": 0.003959917705831008,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_1986",
      "improvement_over_parent": null
    },
    "node_1988": {
      "node_id": "node_1988",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1987",
      "improvement_over_parent": null
    },
    "node_1989": {
      "node_id": "node_1989",
      "content": "INITIAL DESIGN (Trace 287)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_1990": {
      "node_id": "node_1990",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 187.49 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.41e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.4872295368998,
      "fos_buckling": 0.798796392535047,
      "fos_yielding": 1.6630997949852186,
      "deflection": 0.006408314434113784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003744)"
      },
      "parent_node_id": "node_1989",
      "improvement_over_parent": null
    },
    "node_1991": {
      "node_id": "node_1991",
      "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 190.01 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.00866856362,
      "fos_buckling": 0.798509019918308,
      "fos_yielding": 2.027336354053535,
      "deflection": 0.006126449311116835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.580)"
      },
      "parent_node_id": "node_1990",
      "improvement_over_parent": null
    },
    "node_1992": {
      "node_id": "node_1992",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n\nPerformance:\n  Mass: 193.89 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.88525518922904,
      "fos_buckling": 0.7982441105703795,
      "fos_yielding": 2.0267146410630485,
      "deflection": 0.00611732978580566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001522)"
      },
      "parent_node_id": "node_1991",
      "improvement_over_parent": null
    },
    "node_1993": {
      "node_id": "node_1993",
      "content": "MODIFICATION: Increase 15 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n\nPerformance:\n  Mass: 200.80 kg\n  Factor of Safety: 0.80\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.80298749084352,
      "fos_buckling": 0.7974572679313358,
      "fos_yielding": 2.0260493990439334,
      "deflection": 0.006059915889999986,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.443)"
      },
      "parent_node_id": "node_1992",
      "improvement_over_parent": null
    },
    "node_1994": {
      "node_id": "node_1994",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 215.80 kg\n  Factor of Safety: 1.00\n  Max Deflection: 5.28e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.7985266085264,
      "fos_buckling": 0.9997943304496093,
      "fos_yielding": 2.025568989988233,
      "deflection": 0.005278911406357529,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003635)"
      },
      "parent_node_id": "node_1993",
      "improvement_over_parent": null
    },
    "node_1995": {
      "node_id": "node_1995",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0057)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 219.97 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.96826786916046,
      "fos_buckling": 1.3217090708270522,
      "fos_yielding": 2.225133180590079,
      "deflection": 0.004636077304608299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002510)"
      },
      "parent_node_id": "node_1994",
      "improvement_over_parent": null
    },
    "node_1996": {
      "node_id": "node_1996",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0069)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 263.82 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.87e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 263.81945718665366,
      "fos_buckling": 1.5374988748237945,
      "fos_yielding": 2.665058603191592,
      "deflection": 0.0038744557964516518,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_1995",
      "improvement_over_parent": null
    },
    "node_1997": {
      "node_id": "node_1997",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_1996",
      "improvement_over_parent": null
    },
    "node_1998": {
      "node_id": "node_1998",
      "content": "INITIAL DESIGN (Trace 288)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 178.83 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.37e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.8310007345663,
      "fos_buckling": 0.9507430837553322,
      "fos_yielding": 2.00234655528977,
      "deflection": 0.005374139320532908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_1999": {
      "node_id": "node_1999",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 205.56 kg\n  Factor of Safety: 1.08\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.55527172687212,
      "fos_buckling": 1.0800065694437786,
      "fos_yielding": 2.2978914899753793,
      "deflection": 0.004683300394022193,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_1998",
      "improvement_over_parent": null
    },
    "node_2000": {
      "node_id": "node_2000",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n  Mass: 211.09 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.0876033989468,
      "fos_buckling": 1.2449665361269084,
      "fos_yielding": 2.229550263870209,
      "deflection": 0.004779681074995583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002223)"
      },
      "parent_node_id": "node_1999",
      "improvement_over_parent": null
    },
    "node_2001": {
      "node_id": "node_2001",
      "content": "MODIFICATION: Increase 17 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n  Mass: 216.62 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.62003253972154,
      "fos_buckling": 1.3320400948123927,
      "fos_yielding": 2.2343678217358853,
      "deflection": 0.0046912854131294784,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.348)"
      },
      "parent_node_id": "node_2000",
      "improvement_over_parent": null
    },
    "node_2002": {
      "node_id": "node_2002",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0054)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n  Mass: 218.97 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.96866553546403,
      "fos_buckling": 1.3359353780154424,
      "fos_yielding": 2.246736256863919,
      "deflection": 0.004644580677825137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.418)"
      },
      "parent_node_id": "node_2001",
      "improvement_over_parent": null
    },
    "node_2003": {
      "node_id": "node_2003",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0065)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 259.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.92e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.7299193984213,
      "fos_buckling": 1.5390453367222352,
      "fos_yielding": 2.6608739549042455,
      "deflection": 0.003924399068030109,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2002",
      "improvement_over_parent": null
    },
    "node_2004": {
      "node_id": "node_2004",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2003",
      "improvement_over_parent": null
    },
    "node_2005": {
      "node_id": "node_2005",
      "content": "INITIAL DESIGN (Trace 289)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 197.52 kg\n  Factor of Safety: 0.41\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.51924169414036,
      "fos_buckling": 0.41387879629017776,
      "fos_yielding": 2.0447787036716867,
      "deflection": 0.005486366403898753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2006": {
      "node_id": "node_2006",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 205.68 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.89e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.6782353287311,
      "fos_buckling": 1.2667939964437047,
      "fos_yielding": 2.1796097288371232,
      "deflection": 0.004889868010838912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002943)"
      },
      "parent_node_id": "node_2005",
      "improvement_over_parent": null
    },
    "node_2007": {
      "node_id": "node_2007",
      "content": "MODIFICATION: Increase 17 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0051)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 210.73 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.73483259765993,
      "fos_buckling": 1.281697096083999,
      "fos_yielding": 2.1829710484910105,
      "deflection": 0.004810029308860178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.326)"
      },
      "parent_node_id": "node_2006",
      "improvement_over_parent": null
    },
    "node_2008": {
      "node_id": "node_2008",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0051)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 212.31 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.3126570232152,
      "fos_buckling": 1.3023820419001646,
      "fos_yielding": 2.180152628915397,
      "deflection": 0.004787044089800627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.218)"
      },
      "parent_node_id": "node_2007",
      "improvement_over_parent": null
    },
    "node_2009": {
      "node_id": "node_2009",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 259.38 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.93e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.3812891981881,
      "fos_buckling": 1.5383994459441948,
      "fos_yielding": 2.6586360000783573,
      "deflection": 0.003928555059388412,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2008",
      "improvement_over_parent": null
    },
    "node_2010": {
      "node_id": "node_2010",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2009",
      "improvement_over_parent": null
    },
    "node_2011": {
      "node_id": "node_2011",
      "content": "INITIAL DESIGN (Trace 290)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 131.89 kg\n  Factor of Safety: 0.03\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": 131.8860797072833,
      "fos_buckling": 0.02930819291771169,
      "fos_yielding": 0.3581290772031338,
      "deflection": 0.029725656739435644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2012": {
      "node_id": "node_2012",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 168.75 kg\n  Factor of Safety: 0.04\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": 168.74560475801786,
      "fos_buckling": 0.036473857912029554,
      "fos_yielding": 0.4574123831974918,
      "deflection": 0.023280569134404298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2011",
      "improvement_over_parent": null
    },
    "node_2013": {
      "node_id": "node_2013",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 171.20 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.31e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.20010577259572,
      "fos_buckling": 0.036473857912029686,
      "fos_yielding": 0.4574123831974935,
      "deflection": 0.02307095451655003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.466)"
      },
      "parent_node_id": "node_2012",
      "improvement_over_parent": null
    },
    "node_2014": {
      "node_id": "node_2014",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n\nPerformance:\n  Mass: 177.93 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.9298700052823,
      "fos_buckling": 0.6903499543389867,
      "fos_yielding": 1.8573358293810236,
      "deflection": 0.006479268878822319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002895)"
      },
      "parent_node_id": "node_2013",
      "improvement_over_parent": null
    },
    "node_2015": {
      "node_id": "node_2015",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 202.44 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.4357215168877,
      "fos_buckling": 0.7709059682345423,
      "fos_yielding": 2.110742115542312,
      "deflection": 0.005703250599678559,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2014",
      "improvement_over_parent": null
    },
    "node_2016": {
      "node_id": "node_2016",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 206.21 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.21225708031895,
      "fos_buckling": 1.2807686028810705,
      "fos_yielding": 2.126446145353967,
      "deflection": 0.004930795255961671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002334)"
      },
      "parent_node_id": "node_2015",
      "improvement_over_parent": null
    },
    "node_2017": {
      "node_id": "node_2017",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6730692345031,
      "fos_buckling": 1.5415287217197873,
      "fos_yielding": 2.6508678656029767,
      "deflection": 0.0039577728758309165,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2016",
      "improvement_over_parent": null
    },
    "node_2018": {
      "node_id": "node_2018",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2017",
      "improvement_over_parent": null
    },
    "node_2019": {
      "node_id": "node_2019",
      "content": "INITIAL DESIGN (Trace 291)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 219.65 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.65222253897164,
      "fos_buckling": 1.0498175187092034,
      "fos_yielding": 2.406987607309141,
      "deflection": 0.004611244787368774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2020": {
      "node_id": "node_2020",
      "content": "MODIFICATION: Increase 17 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 223.09 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.08776251521712,
      "fos_buckling": 1.0670948247186014,
      "fos_yielding": 2.402700851671976,
      "deflection": 0.004579604119590903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.294)"
      },
      "parent_node_id": "node_2019",
      "improvement_over_parent": null
    },
    "node_2021": {
      "node_id": "node_2021",
      "content": "MODIFICATION: Increase 4 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 224.13 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.12500960123566,
      "fos_buckling": 1.0673375515353805,
      "fos_yielding": 2.4001179599135702,
      "deflection": 0.004561749313972256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.328)"
      },
      "parent_node_id": "node_2020",
      "improvement_over_parent": null
    },
    "node_2022": {
      "node_id": "node_2022",
      "content": "MODIFICATION: Increase 15 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 228.50 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.49971419956472,
      "fos_buckling": 1.0703783412566907,
      "fos_yielding": 2.368263911414453,
      "deflection": 0.004464197502526162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.600)"
      },
      "parent_node_id": "node_2021",
      "improvement_over_parent": null
    },
    "node_2023": {
      "node_id": "node_2023",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.75 kg\n  Factor of Safety: 1.19\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.75430478834983,
      "fos_buckling": 1.1855693919383907,
      "fos_yielding": 2.647315571978274,
      "deflection": 0.003994585859265265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2022",
      "improvement_over_parent": null
    },
    "node_2024": {
      "node_id": "node_2024",
      "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.413735533279,
      "fos_buckling": 1.5402675885191288,
      "fos_yielding": 2.648284581236278,
      "deflection": 0.003961627831869766,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.595)"
      },
      "parent_node_id": "node_2023",
      "improvement_over_parent": null
    },
    "node_2025": {
      "node_id": "node_2025",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2024",
      "improvement_over_parent": null
    },
    "node_2026": {
      "node_id": "node_2026",
      "content": "INITIAL DESIGN (Trace 292)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 172.48 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.48188557495718,
      "fos_buckling": 0.03763814849290337,
      "fos_yielding": 0.4740936367981878,
      "deflection": 0.023770127591111394,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2027": {
      "node_id": "node_2027",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 206.63 kg\n  Factor of Safety: 0.04\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": 206.6288388014017,
      "fos_buckling": 0.04389596362769758,
      "fos_yielding": 0.566972058638564,
      "deflection": 0.019864779570300747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.214)"
      },
      "parent_node_id": "node_2026",
      "improvement_over_parent": null
    },
    "node_2028": {
      "node_id": "node_2028",
      "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 209.36 kg\n  Factor of Safety: 0.04\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": 209.36392327846497,
      "fos_buckling": 0.0438902653465217,
      "fos_yielding": 0.5668984581080827,
      "deflection": 0.01975466792846174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.570)"
      },
      "parent_node_id": "node_2027",
      "improvement_over_parent": null
    },
    "node_2029": {
      "node_id": "node_2029",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.88 kg\n  Factor of Safety: 0.05\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": 239.8840609136412,
      "fos_buckling": 0.04909008730395363,
      "fos_yielding": 0.6486087108113842,
      "deflection": 0.017258039553206584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_2028",
      "improvement_over_parent": null
    },
    "node_2030": {
      "node_id": "node_2030",
      "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.45 kg\n  Factor of Safety: 0.05\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": 243.44977674880735,
      "fos_buckling": 0.04907626271495215,
      "fos_yielding": 0.6484260517585649,
      "deflection": 0.016288086746535323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.577)"
      },
      "parent_node_id": "node_2029",
      "improvement_over_parent": null
    },
    "node_2031": {
      "node_id": "node_2031",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 253.01 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.01291772802716,
      "fos_buckling": 0.9262825736505446,
      "fos_yielding": 2.6314913742594537,
      "deflection": 0.004577166013874232,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2030",
      "improvement_over_parent": null
    },
    "node_2032": {
      "node_id": "node_2032",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7297369773887,
      "fos_buckling": 1.5418805119907673,
      "fos_yielding": 2.651036160427738,
      "deflection": 0.003957166458007706,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2031",
      "improvement_over_parent": null
    },
    "node_2033": {
      "node_id": "node_2033",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 293)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 168.38 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.3801835644438,
      "fos_buckling": 0.9462343154598718,
      "fos_yielding": 1.80213966805097,
      "deflection": 0.005999890962480174,
      "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: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 209.68 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.67721641911584,
      "fos_buckling": 1.151834431209415,
      "fos_yielding": 2.238841858484481,
      "deflection": 0.0048294784678288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2034",
      "improvement_over_parent": null
    },
    "node_2036": {
      "node_id": "node_2036",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 248.36 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.36388562557102,
      "fos_buckling": 1.3350194205050245,
      "fos_yielding": 2.645995598968818,
      "deflection": 0.004086151006607543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2035",
      "improvement_over_parent": null
    },
    "node_2037": {
      "node_id": "node_2037",
      "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.12 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.1155769461934,
      "fos_buckling": 1.371535610830909,
      "fos_yielding": 2.644266212808901,
      "deflection": 0.004022986158370432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.316)"
      },
      "parent_node_id": "node_2036",
      "improvement_over_parent": null
    },
    "node_2038": {
      "node_id": "node_2038",
      "content": "MODIFICATION: Increase 18 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4816155892674,
      "fos_buckling": 1.5405479859131315,
      "fos_yielding": 2.6487800841945304,
      "deflection": 0.003960675536730751,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.289)"
      },
      "parent_node_id": "node_2037",
      "improvement_over_parent": null
    },
    "node_2039": {
      "node_id": "node_2039",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2038",
      "improvement_over_parent": null
    },
    "node_2040": {
      "node_id": "node_2040",
      "content": "INITIAL DESIGN (Trace 294)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.29 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.28723578551075,
      "fos_buckling": 1.2179390123850227,
      "fos_yielding": 2.624562819278831,
      "deflection": 0.004149022435721107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2041": {
      "node_id": "node_2041",
      "content": "MODIFICATION: Increase 19 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.12 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.12057587087028,
      "fos_buckling": 1.2393602926635796,
      "fos_yielding": 2.625932533226885,
      "deflection": 0.00410517951334013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.403)"
      },
      "parent_node_id": "node_2040",
      "improvement_over_parent": null
    },
    "node_2042": {
      "node_id": "node_2042",
      "content": "MODIFICATION: Increase 18 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.17 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.16887439842287,
      "fos_buckling": 1.3254585687081282,
      "fos_yielding": 2.6313385351897454,
      "deflection": 0.004043379484137875,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.263)"
      },
      "parent_node_id": "node_2041",
      "improvement_over_parent": null
    },
    "node_2043": {
      "node_id": "node_2043",
      "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.93 kg\n  Factor of Safety: 1.34\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.92867368815837,
      "fos_buckling": 1.3434653888908292,
      "fos_yielding": 2.6483100423887946,
      "deflection": 0.003992201347636048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.420)"
      },
      "parent_node_id": "node_2042",
      "improvement_over_parent": null
    },
    "node_2044": {
      "node_id": "node_2044",
      "content": "MODIFICATION: Increase 12 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5275933595936,
      "fos_buckling": 1.5408327523073289,
      "fos_yielding": 2.6493454088949053,
      "deflection": 0.003959958732673629,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.348)"
      },
      "parent_node_id": "node_2043",
      "improvement_over_parent": null
    },
    "node_2045": {
      "node_id": "node_2045",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2044",
      "improvement_over_parent": null
    },
    "node_2046": {
      "node_id": "node_2046",
      "content": "INITIAL DESIGN (Trace 295)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 198.71 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.70863140668877,
      "fos_buckling": 0.7820835921506979,
      "fos_yielding": 1.7659197745567583,
      "deflection": 0.006332198601406945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2047": {
      "node_id": "node_2047",
      "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 200.50 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.5001979115487,
      "fos_buckling": 0.7819407855293783,
      "fos_yielding": 2.2379777056514327,
      "deflection": 0.006122188741443194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.290)"
      },
      "parent_node_id": "node_2046",
      "improvement_over_parent": null
    },
    "node_2048": {
      "node_id": "node_2048",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.86 kg\n  Factor of Safety: 0.86\n  Max Deflection: 5.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.86297510189343,
      "fos_buckling": 0.8627686605802833,
      "fos_yielding": 2.5177334628830166,
      "deflection": 0.005442714028861818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_2047",
      "improvement_over_parent": null
    },
    "node_2049": {
      "node_id": "node_2049",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 241.35 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.35025930319566,
      "fos_buckling": 0.9512981068589748,
      "fos_yielding": 2.5166176339712565,
      "deflection": 0.004779930924350769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003764)"
      },
      "parent_node_id": "node_2048",
      "improvement_over_parent": null
    },
    "node_2050": {
      "node_id": "node_2050",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 255.10 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.09972776938307,
      "fos_buckling": 1.5414754005499391,
      "fos_yielding": 2.6496693523401214,
      "deflection": 0.003981244864266297,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2049",
      "improvement_over_parent": null
    },
    "node_2051": {
      "node_id": "node_2051",
      "content": "MODIFICATION: Increase 19 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.60915832442737,
      "fos_buckling": 1.5412595757483405,
      "fos_yielding": 2.6502474181087705,
      "deflection": 0.00395881757311647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.178)"
      },
      "parent_node_id": "node_2050",
      "improvement_over_parent": null
    },
    "node_2052": {
      "node_id": "node_2052",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2051",
      "improvement_over_parent": null
    },
    "node_2053": {
      "node_id": "node_2053",
      "content": "INITIAL DESIGN (Trace 296)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 157.24 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.24102227762717,
      "fos_buckling": 0.1915588265009381,
      "fos_yielding": 1.0376690400662747,
      "deflection": 0.011694636936048473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2054": {
      "node_id": "node_2054",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 176.44 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.43592325930032,
      "fos_buckling": 0.21173064908637448,
      "fos_yielding": 1.1632381585621179,
      "deflection": 0.010429637801107101,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2053",
      "improvement_over_parent": null
    },
    "node_2055": {
      "node_id": "node_2055",
      "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 177.99 kg\n  Factor of Safety: 0.21\n  Max Deflection: 1.04e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.9875252528049,
      "fos_buckling": 0.2121101712557919,
      "fos_yielding": 1.1631523876276637,
      "deflection": 0.010351558285429982,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.312)"
      },
      "parent_node_id": "node_2054",
      "improvement_over_parent": null
    },
    "node_2056": {
      "node_id": "node_2056",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 222.93 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.28e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.93207796874293,
      "fos_buckling": 0.2563518789947972,
      "fos_yielding": 1.4538376661243997,
      "deflection": 0.008278073015628622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_2055",
      "improvement_over_parent": null
    },
    "node_2057": {
      "node_id": "node_2057",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 254.88 kg\n  Factor of Safety: 1.49\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.88202034248044,
      "fos_buckling": 1.4942319451630983,
      "fos_yielding": 2.662225221913465,
      "deflection": 0.003946735577207401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2056",
      "improvement_over_parent": null
    },
    "node_2058": {
      "node_id": "node_2058",
      "content": "MODIFICATION: Increase 16 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0074)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 264.96 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.95746491452024,
      "fos_buckling": 1.3572414666027734,
      "fos_yielding": 2.6547762224835587,
      "deflection": 0.0039016419427989764,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.658)"
      },
      "parent_node_id": "node_2057",
      "improvement_over_parent": null
    },
    "node_2059": {
      "node_id": "node_2059",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2058",
      "improvement_over_parent": null
    },
    "node_2060": {
      "node_id": "node_2060",
      "content": "INITIAL DESIGN (Trace 297)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 186.87 kg\n  Factor of Safety: 0.04\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": 186.86974382728218,
      "fos_buckling": 0.04107078773095812,
      "fos_yielding": 0.5243678502915793,
      "deflection": 0.02048386396811076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2061": {
      "node_id": "node_2061",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 231.51 kg\n  Factor of Safety: 0.05\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": 231.51041072018052,
      "fos_buckling": 0.04903815286597268,
      "fos_yielding": 0.6477610933684818,
      "deflection": 0.016578989169237564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2060",
      "improvement_over_parent": null
    },
    "node_2062": {
      "node_id": "node_2062",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 241.07 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.07355169940033,
      "fos_buckling": 1.172394945697718,
      "fos_yielding": 2.6407537341036313,
      "deflection": 0.004165053192412214,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2061",
      "improvement_over_parent": null
    },
    "node_2063": {
      "node_id": "node_2063",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 244.78 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.77556492953684,
      "fos_buckling": 1.1711489893143965,
      "fos_yielding": 2.66619863661749,
      "deflection": 0.004183867922065007,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.550)"
      },
      "parent_node_id": "node_2062",
      "improvement_over_parent": null
    },
    "node_2064": {
      "node_id": "node_2064",
      "content": "MODIFICATION: Increase 17 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0070)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 253.10 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.09686636653484,
      "fos_buckling": 1.145625883006217,
      "fos_yielding": 2.6636873913907126,
      "deflection": 0.004096677748074575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.458)"
      },
      "parent_node_id": "node_2063",
      "improvement_over_parent": null
    },
    "node_2065": {
      "node_id": "node_2065",
      "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 258.19 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.19108580964854,
      "fos_buckling": 1.1353545251915915,
      "fos_yielding": 2.6624872260306116,
      "deflection": 0.004062296221633524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.209)"
      },
      "parent_node_id": "node_2064",
      "improvement_over_parent": null
    },
    "node_2066": {
      "node_id": "node_2066",
      "content": "MODIFICATION: Increase 12 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0093)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 274.05 kg\n  Factor of Safety: 1.13\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 274.0529318998936,
      "fos_buckling": 1.1339053454706773,
      "fos_yielding": 2.5311050718483985,
      "deflection": 0.0039199296979426975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.580)"
      },
      "parent_node_id": "node_2065",
      "improvement_over_parent": null
    },
    "node_2067": {
      "node_id": "node_2067",
      "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0050)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0093)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0084)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 275.43 kg\n  Factor of Safety: 1.13\n  Max Deflection: 3.88e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 275.4312054736924,
      "fos_buckling": 1.133591208532975,
      "fos_yielding": 2.692522525720424,
      "deflection": 0.003879731699648417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.217)"
      },
      "parent_node_id": "node_2066",
      "improvement_over_parent": null
    },
    "node_2068": {
      "node_id": "node_2068",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2067",
      "improvement_over_parent": null
    },
    "node_2069": {
      "node_id": "node_2069",
      "content": "INITIAL DESIGN (Trace 298)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 179.00 kg\n  Factor of Safety: 0.27\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": 178.99562423509602,
      "fos_buckling": 0.26738979028285614,
      "fos_yielding": 0.9373306051656478,
      "deflection": 0.02352961897106538,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2070": {
      "node_id": "node_2070",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n\nPerformance:\n  Mass: 182.77 kg\n  Factor of Safety: 0.27\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": 182.77122088515782,
      "fos_buckling": 0.26736092469801803,
      "fos_yielding": 0.9372292708679743,
      "deflection": 0.02331330428045892,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002256)"
      },
      "parent_node_id": "node_2069",
      "improvement_over_parent": null
    },
    "node_2071": {
      "node_id": "node_2071",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n\nPerformance:\n  Mass: 187.78 kg\n  Factor of Safety: 0.36\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": 187.7835275295339,
      "fos_buckling": 0.35810179326086755,
      "fos_yielding": 1.1173947964981332,
      "deflection": 0.014676347353053747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002202)"
      },
      "parent_node_id": "node_2070",
      "improvement_over_parent": null
    },
    "node_2072": {
      "node_id": "node_2072",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 214.18 kg\n  Factor of Safety: 0.40\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": 214.17547998393127,
      "fos_buckling": 0.40040717173370616,
      "fos_yielding": 1.2722626484066666,
      "deflection": 0.012889824399165662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2071",
      "improvement_over_parent": null
    },
    "node_2073": {
      "node_id": "node_2073",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 221.61 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.59e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.61149369791102,
      "fos_buckling": 1.3612116058793298,
      "fos_yielding": 2.2835286885192834,
      "deflection": 0.0045920669480368865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003416)"
      },
      "parent_node_id": "node_2072",
      "improvement_over_parent": null
    },
    "node_2074": {
      "node_id": "node_2074",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.521013625539,
      "fos_buckling": 1.5407607998801394,
      "fos_yielding": 2.6492019109797993,
      "deflection": 0.0039599232322061455,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2073",
      "improvement_over_parent": null
    },
    "node_2075": {
      "node_id": "node_2075",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2074",
      "improvement_over_parent": null
    },
    "node_2076": {
      "node_id": "node_2076",
      "content": "INITIAL DESIGN (Trace 299)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 144.28 kg\n  Factor of Safety: 0.07\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": 144.27778792360297,
      "fos_buckling": 0.06583529093270139,
      "fos_yielding": 0.8242219442606287,
      "deflection": 0.015663391495308498,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2077": {
      "node_id": "node_2077",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n\nPerformance:\n  Mass: 151.20 kg\n  Factor of Safety: 0.49\n  Max Deflection: 8.26e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.19656893955818,
      "fos_buckling": 0.48808196182365393,
      "fos_yielding": 1.584767708846722,
      "deflection": 0.008260616781329097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002467)"
      },
      "parent_node_id": "node_2076",
      "improvement_over_parent": null
    },
    "node_2078": {
      "node_id": "node_2078",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 178.67 kg\n  Factor of Safety: 0.56\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.667305306399,
      "fos_buckling": 0.563986992046764,
      "fos_yielding": 1.8692809765594987,
      "deflection": 0.00699651549650425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2077",
      "improvement_over_parent": null
    },
    "node_2079": {
      "node_id": "node_2079",
      "content": "MODIFICATION: Increase 16 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 183.98 kg\n  Factor of Safety: 0.56\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.9837147234111,
      "fos_buckling": 0.5640386799511126,
      "fos_yielding": 1.8689956392599738,
      "deflection": 0.0069966737572386235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.401)"
      },
      "parent_node_id": "node_2078",
      "improvement_over_parent": null
    },
    "node_2080": {
      "node_id": "node_2080",
      "content": "MODIFICATION: Increase 13 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n\nPerformance:\n  Mass: 190.21 kg\n  Factor of Safety: 0.53\n  Max Deflection: 6.88e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.21238527222667,
      "fos_buckling": 0.5254162218079074,
      "fos_yielding": 1.8679934320980318,
      "deflection": 0.006882130968886137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.626)"
      },
      "parent_node_id": "node_2079",
      "improvement_over_parent": null
    },
    "node_2081": {
      "node_id": "node_2081",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0050)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n  Mass: 207.38 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.37655625558682,
      "fos_buckling": 1.0542840649776355,
      "fos_yielding": 2.159575866820503,
      "deflection": 0.004915205468096386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003850)"
      },
      "parent_node_id": "node_2080",
      "improvement_over_parent": null
    },
    "node_2082": {
      "node_id": "node_2082",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0062)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 252.78 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.77639285687297,
      "fos_buckling": 1.2427291462769479,
      "fos_yielding": 2.630199545451393,
      "deflection": 0.0040389730200961005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2081",
      "improvement_over_parent": null
    },
    "node_2083": {
      "node_id": "node_2083",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0063)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0062)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 259.42 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.4189930856923,
      "fos_buckling": 1.471809120000743,
      "fos_yielding": 2.643970358673159,
      "deflection": 0.003962165455684513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2082",
      "improvement_over_parent": null
    },
    "node_2084": {
      "node_id": "node_2084",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2083",
      "improvement_over_parent": null
    },
    "node_2085": {
      "node_id": "node_2085",
      "content": "INITIAL DESIGN (Trace 300)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n  Mass: 168.47 kg\n  Factor of Safety: 0.64\n  Max Deflection: 4.73e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.47069667056113,
      "fos_buckling": 0.6351565505832978,
      "fos_yielding": 3.3589877224364053,
      "deflection": 4731851195207.688,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2086": {
      "node_id": "node_2086",
      "content": "MODIFICATION: Increase 1 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n  Mass: 171.81 kg\n  Factor of Safety: 0.38\n  Max Deflection: 8.30e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.81228026415678,
      "fos_buckling": 0.3759680664320484,
      "fos_yielding": 1.2596203959136518,
      "deflection": 8295401002276.417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.647)"
      },
      "parent_node_id": "node_2085",
      "improvement_over_parent": null
    },
    "node_2087": {
      "node_id": "node_2087",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 199.04 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.44e+14 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.03987039445758,
      "fos_buckling": 0.05300702284615138,
      "fos_yielding": 0.05484894583608119,
      "deflection": 143796525066016.4,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_2086",
      "improvement_over_parent": null
    },
    "node_2088": {
      "node_id": "node_2088",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 217.08 kg\n  Factor of Safety: 0.25\n  Max Deflection: 9.10e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.08240659720525,
      "fos_buckling": 0.2513154259359699,
      "fos_yielding": 0.8397469306091013,
      "deflection": 9101797672743.984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2087",
      "improvement_over_parent": null
    },
    "node_2089": {
      "node_id": "node_2089",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 235.07 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.07177116386515,
      "fos_buckling": 0.6727390722338983,
      "fos_yielding": 2.468669382787761,
      "deflection": 0.005091681594488339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2088",
      "improvement_over_parent": null
    },
    "node_2090": {
      "node_id": "node_2090",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.33 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.99e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.3268972457573,
      "fos_buckling": 1.5411399179610683,
      "fos_yielding": 2.649604977939388,
      "deflection": 0.003987705015929479,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2089",
      "improvement_over_parent": null
    },
    "node_2091": {
      "node_id": "node_2091",
      "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59971766755535,
      "fos_buckling": 1.5412763812217027,
      "fos_yielding": 2.6488124227517678,
      "deflection": 0.003958949307090621,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.325)"
      },
      "parent_node_id": "node_2090",
      "improvement_over_parent": null
    },
    "node_2092": {
      "node_id": "node_2092",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2091",
      "improvement_over_parent": null
    },
    "node_2093": {
      "node_id": "node_2093",
      "content": "INITIAL DESIGN (Trace 301)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_2094": {
      "node_id": "node_2094",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 213.89 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.8899170723798,
      "fos_buckling": 0.9127262679261475,
      "fos_yielding": 1.8003465467102664,
      "deflection": 0.005942867396393332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2093",
      "improvement_over_parent": null
    },
    "node_2095": {
      "node_id": "node_2095",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 218.61 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.60673632174138,
      "fos_buckling": 0.9128503100858545,
      "fos_yielding": 2.3895631504731427,
      "deflection": 0.004925022845206912,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2094",
      "improvement_over_parent": null
    },
    "node_2096": {
      "node_id": "node_2096",
      "content": "MODIFICATION: Increase 15 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 226.13 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.1317373313011,
      "fos_buckling": 1.16007275136909,
      "fos_yielding": 2.3880189170286896,
      "deflection": 0.004746766346251522,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.412)"
      },
      "parent_node_id": "node_2095",
      "improvement_over_parent": null
    },
    "node_2097": {
      "node_id": "node_2097",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 245.22 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.22148110610857,
      "fos_buckling": 1.159435175375957,
      "fos_yielding": 2.386714647878214,
      "deflection": 0.004240606273320603,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_2096",
      "improvement_over_parent": null
    },
    "node_2098": {
      "node_id": "node_2098",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0068)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 263.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.88e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 263.26401730885624,
      "fos_buckling": 1.5372405649836267,
      "fos_yielding": 2.663322910030901,
      "deflection": 0.0038805027098429766,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2097",
      "improvement_over_parent": null
    },
    "node_2099": {
      "node_id": "node_2099",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2098",
      "improvement_over_parent": null
    },
    "node_2100": {
      "node_id": "node_2100",
      "content": "INITIAL DESIGN (Trace 302)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 117.50 kg\n  Factor of Safety: 0.51\n  Max Deflection: 9.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.50451967160015,
      "fos_buckling": 0.5057140917256028,
      "fos_yielding": 1.1806360085917729,
      "deflection": 0.009299141752903844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2101": {
      "node_id": "node_2101",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 135.86 kg\n  Factor of Safety: 0.58\n  Max Deflection: 8.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.862220356291,
      "fos_buckling": 0.5763737081597722,
      "fos_yielding": 1.36648019370798,
      "deflection": 0.008051186766062958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2100",
      "improvement_over_parent": null
    },
    "node_2102": {
      "node_id": "node_2102",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n  Mass: 146.16 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.16269057963345,
      "fos_buckling": 0.9475772890517448,
      "fos_yielding": 1.3623102585503797,
      "deflection": 0.006979839339783059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002438)"
      },
      "parent_node_id": "node_2101",
      "improvement_over_parent": null
    },
    "node_2103": {
      "node_id": "node_2103",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 169.90 kg\n  Factor of Safety: 1.09\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.8965907068068,
      "fos_buckling": 1.0903017127511767,
      "fos_yielding": 1.5855362927367747,
      "deflection": 0.0060125602405405295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_2102",
      "improvement_over_parent": null
    },
    "node_2104": {
      "node_id": "node_2104",
      "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 171.46 kg\n  Factor of Safety: 1.09\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.4603289679111,
      "fos_buckling": 1.09147846501379,
      "fos_yielding": 1.7709204308132809,
      "deflection": 0.005918122914298998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.414)"
      },
      "parent_node_id": "node_2103",
      "improvement_over_parent": null
    },
    "node_2105": {
      "node_id": "node_2105",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n  Mass: 192.48 kg\n  Factor of Safety: 1.21\n  Max Deflection: 5.28e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.47869311011047,
      "fos_buckling": 1.2072463755336895,
      "fos_yielding": 1.9860953954171483,
      "deflection": 0.005278285019188825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.131)"
      },
      "parent_node_id": "node_2104",
      "improvement_over_parent": null
    },
    "node_2106": {
      "node_id": "node_2106",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 231.13 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.13121922116622,
      "fos_buckling": 1.4099583897504389,
      "fos_yielding": 2.3807208863348266,
      "deflection": 0.004405406227673773,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2105",
      "improvement_over_parent": null
    },
    "node_2107": {
      "node_id": "node_2107",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.42368087302884,
      "fos_buckling": 1.5403348502379735,
      "fos_yielding": 2.648359949654298,
      "deflection": 0.0039614486919771486,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.125)"
      },
      "parent_node_id": "node_2106",
      "improvement_over_parent": null
    },
    "node_2108": {
      "node_id": "node_2108",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2107",
      "improvement_over_parent": null
    },
    "node_2109": {
      "node_id": "node_2109",
      "content": "INITIAL DESIGN (Trace 303)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 205.73 kg\n  Factor of Safety: 1.06\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.7332734483513,
      "fos_buckling": 1.0567437792023686,
      "fos_yielding": 2.1956430491797794,
      "deflection": 0.0049360783984548524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2110": {
      "node_id": "node_2110",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 249.30 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.30295596203266,
      "fos_buckling": 1.2551946446278937,
      "fos_yielding": 2.654061053898662,
      "deflection": 0.004083574111323197,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2109",
      "improvement_over_parent": null
    },
    "node_2111": {
      "node_id": "node_2111",
      "content": "MODIFICATION: Increase 20 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.4450413074417,
      "fos_buckling": 1.5412196753184584,
      "fos_yielding": 2.6511810205106854,
      "deflection": 0.0039846003574620995,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.555)"
      },
      "parent_node_id": "node_2110",
      "improvement_over_parent": null
    },
    "node_2112": {
      "node_id": "node_2112",
      "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6244520923514,
      "fos_buckling": 1.5413434995516402,
      "fos_yielding": 2.650457834863247,
      "deflection": 0.003958434487749104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.295)"
      },
      "parent_node_id": "node_2111",
      "improvement_over_parent": null
    },
    "node_2113": {
      "node_id": "node_2113",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2112",
      "improvement_over_parent": null
    },
    "node_2114": {
      "node_id": "node_2114",
      "content": "INITIAL DESIGN (Trace 304)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0007)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 113.52 kg\n  Factor of Safety: 0.70\n  Max Deflection: 8.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.52034452270243,
      "fos_buckling": 0.6979748358619184,
      "fos_yielding": 1.1915607569277593,
      "deflection": 0.008801936062546515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2115": {
      "node_id": "node_2115",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0009)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 136.21 kg\n  Factor of Safety: 0.83\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.20581507943712,
      "fos_buckling": 0.8344967744766956,
      "fos_yielding": 1.4280446298966272,
      "deflection": 0.007346252761533152,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2114",
      "improvement_over_parent": null
    },
    "node_2116": {
      "node_id": "node_2116",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 161.36 kg\n  Factor of Safety: 0.98\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.36367339453145,
      "fos_buckling": 0.9846540374872133,
      "fos_yielding": 1.689666329615855,
      "deflection": 0.006210575604301998,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2115",
      "improvement_over_parent": null
    },
    "node_2117": {
      "node_id": "node_2117",
      "content": "MODIFICATION: Increase 16 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 162.74 kg\n  Factor of Safety: 1.04\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.7358772143741,
      "fos_buckling": 1.0422471997519565,
      "fos_yielding": 1.6814016003942787,
      "deflection": 0.006232460645026271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.522)"
      },
      "parent_node_id": "node_2116",
      "improvement_over_parent": null
    },
    "node_2118": {
      "node_id": "node_2118",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 208.75 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.75092343436233,
      "fos_buckling": 1.2941582261059779,
      "fos_yielding": 2.152296664964259,
      "deflection": 0.004871576618675407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_2117",
      "improvement_over_parent": null
    },
    "node_2119": {
      "node_id": "node_2119",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 231.81 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.80825130227697,
      "fos_buckling": 1.4133572233758651,
      "fos_yielding": 2.3875097035417694,
      "deflection": 0.004392853193649923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_2118",
      "improvement_over_parent": null
    },
    "node_2120": {
      "node_id": "node_2120",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.96 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.9601773845268,
      "fos_buckling": 1.542896090562477,
      "fos_yielding": 2.653692735620488,
      "deflection": 0.003953458154201435,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2119",
      "improvement_over_parent": null
    },
    "node_2121": {
      "node_id": "node_2121",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2120",
      "improvement_over_parent": null
    },
    "node_2122": {
      "node_id": "node_2122",
      "content": "INITIAL DESIGN (Trace 305)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 202.51 kg\n  Factor of Safety: 1.08\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.5127904010681,
      "fos_buckling": 1.0841923892398082,
      "fos_yielding": 2.064820479817424,
      "deflection": 0.0050872968662078,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2123": {
      "node_id": "node_2123",
      "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 204.10 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.09680834270958,
      "fos_buckling": 1.1154328620955505,
      "fos_yielding": 2.1487228062186197,
      "deflection": 0.004947186617487147,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.294)"
      },
      "parent_node_id": "node_2122",
      "improvement_over_parent": null
    },
    "node_2124": {
      "node_id": "node_2124",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 209.50 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.50035524792278,
      "fos_buckling": 1.2981211473858978,
      "fos_yielding": 2.159993947924143,
      "deflection": 0.004854312234494818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002387)"
      },
      "parent_node_id": "node_2123",
      "improvement_over_parent": null
    },
    "node_2125": {
      "node_id": "node_2125",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58015607200093,
      "fos_buckling": 1.5410732092314385,
      "fos_yielding": 2.649882374308974,
      "deflection": 0.00395916650761563,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2124",
      "improvement_over_parent": null
    },
    "node_2126": {
      "node_id": "node_2126",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2125",
      "improvement_over_parent": null
    },
    "node_2127": {
      "node_id": "node_2127",
      "content": "INITIAL DESIGN (Trace 306)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 171.49 kg\n  Factor of Safety: 0.56\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.4943733856311,
      "fos_buckling": 0.5641468748002981,
      "fos_yielding": 1.834617607571484,
      "deflection": 0.007680653167291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2128": {
      "node_id": "node_2128",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 213.20 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.20072117824026,
      "fos_buckling": 0.6743746706669489,
      "fos_yielding": 2.2872367272390206,
      "deflection": 0.006190374808667003,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2127",
      "improvement_over_parent": null
    },
    "node_2129": {
      "node_id": "node_2129",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.46 kg\n  Factor of Safety: 0.87\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.4558472601324,
      "fos_buckling": 0.8720122159857112,
      "fos_yielding": 2.2864680581020744,
      "deflection": 0.004934503492982766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2128",
      "improvement_over_parent": null
    },
    "node_2130": {
      "node_id": "node_2130",
      "content": "MODIFICATION: Increase 17 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 237.53 kg\n  Factor of Safety: 0.87\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.53263899053064,
      "fos_buckling": 0.8718836564348186,
      "fos_yielding": 2.2861344122287437,
      "deflection": 0.0048815010231620945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.189)"
      },
      "parent_node_id": "node_2129",
      "improvement_over_parent": null
    },
    "node_2131": {
      "node_id": "node_2131",
      "content": "MODIFICATION: Increase 18 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.58 kg\n  Factor of Safety: 0.87\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.57582143900152,
      "fos_buckling": 0.8718273554159384,
      "fos_yielding": 2.285988295948889,
      "deflection": 0.00483824050931273,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.318)"
      },
      "parent_node_id": "node_2130",
      "improvement_over_parent": null
    },
    "node_2132": {
      "node_id": "node_2132",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.87 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.87268036596504,
      "fos_buckling": 0.9511814459175167,
      "fos_yielding": 2.5179594459871186,
      "deflection": 0.004754524060568564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.416)"
      },
      "parent_node_id": "node_2131",
      "improvement_over_parent": null
    },
    "node_2133": {
      "node_id": "node_2133",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.62214883215245,
      "fos_buckling": 1.5414556882110264,
      "fos_yielding": 2.65056451300509,
      "deflection": 0.003958472703114093,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2132",
      "improvement_over_parent": null
    },
    "node_2134": {
      "node_id": "node_2134",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2133",
      "improvement_over_parent": null
    },
    "node_2135": {
      "node_id": "node_2135",
      "content": "INITIAL DESIGN (Trace 307)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.70 kg\n  Factor of Safety: 0.05\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": 241.69698429731537,
      "fos_buckling": 0.04906098557291328,
      "fos_yielding": 0.6481269136207851,
      "deflection": 0.01730919324672249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2136": {
      "node_id": "node_2136",
      "content": "MODIFICATION: Increase 9 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.42 kg\n  Factor of Safety: 0.05\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": 245.421169330254,
      "fos_buckling": 0.04904943967041946,
      "fos_yielding": 0.6479743848841342,
      "deflection": 0.016606189699242553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.653)"
      },
      "parent_node_id": "node_2135",
      "improvement_over_parent": null
    },
    "node_2137": {
      "node_id": "node_2137",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 254.98 kg\n  Factor of Safety: 1.52\n  Max Deflection: 4.14e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.9843103094738,
      "fos_buckling": 1.5214734832970354,
      "fos_yielding": 2.018875448879239,
      "deflection": 0.0041433233007627576,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2136",
      "improvement_over_parent": null
    },
    "node_2138": {
      "node_id": "node_2138",
      "content": "MODIFICATION: Increase 1 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5315393627313,
      "fos_buckling": 1.540821187006546,
      "fos_yielding": 2.6489907875468957,
      "deflection": 0.003959969225723428,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.359)"
      },
      "parent_node_id": "node_2137",
      "improvement_over_parent": null
    },
    "node_2139": {
      "node_id": "node_2139",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2138",
      "improvement_over_parent": null
    },
    "node_2140": {
      "node_id": "node_2140",
      "content": "INITIAL DESIGN (Trace 308)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 179.88 kg\n  Factor of Safety: 0.73\n  Max Deflection: 5.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.8802188262606,
      "fos_buckling": 0.7250218805389098,
      "fos_yielding": 1.821914699202232,
      "deflection": 0.005818765601507157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2141": {
      "node_id": "node_2141",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 200.88 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.88000600648724,
      "fos_buckling": 0.7967286994065521,
      "fos_yielding": 2.032248772014828,
      "deflection": 0.00521668479882611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2140",
      "improvement_over_parent": null
    },
    "node_2142": {
      "node_id": "node_2142",
      "content": "MODIFICATION: Increase 14 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 203.43 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.43459502778265,
      "fos_buckling": 0.7966700433751619,
      "fos_yielding": 2.032099895353759,
      "deflection": 0.005191599449189878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.202)"
      },
      "parent_node_id": "node_2141",
      "improvement_over_parent": null
    },
    "node_2143": {
      "node_id": "node_2143",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.55 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.54964590908008,
      "fos_buckling": 0.9124053871791503,
      "fos_yielding": 2.3885192349940203,
      "deflection": 0.0044177390719737746,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2142",
      "improvement_over_parent": null
    },
    "node_2144": {
      "node_id": "node_2144",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59218211182775,
      "fos_buckling": 1.5411398705461328,
      "fos_yielding": 2.650073955901763,
      "deflection": 0.0039589027136395505,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2143",
      "improvement_over_parent": null
    },
    "node_2145": {
      "node_id": "node_2145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 309)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 201.19 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.37e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.18788767171952,
      "fos_buckling": 0.2164934133377713,
      "fos_yielding": 1.2274798267577733,
      "deflection": 0.009372035761517648,
      "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 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 202.72 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.36e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.7153639785772,
      "fos_buckling": 0.2163644576368602,
      "fos_yielding": 1.2267486704654254,
      "deflection": 0.009356993754752218,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.605)"
      },
      "parent_node_id": "node_2146",
      "improvement_over_parent": null
    },
    "node_2148": {
      "node_id": "node_2148",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 224.13 kg\n  Factor of Safety: 0.24\n  Max Deflection: 8.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.12592186094727,
      "fos_buckling": 0.23616291933318126,
      "fos_yielding": 1.357830936207804,
      "deflection": 0.008467287317981671,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2147",
      "improvement_over_parent": null
    },
    "node_2149": {
      "node_id": "node_2149",
      "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.48 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.47844899194274,
      "fos_buckling": 0.26763133593389793,
      "fos_yielding": 1.4540619944364608,
      "deflection": 0.008137527488784485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.229)"
      },
      "parent_node_id": "node_2148",
      "improvement_over_parent": null
    },
    "node_2150": {
      "node_id": "node_2150",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4283913656802,
      "fos_buckling": 1.5407292012245084,
      "fos_yielding": 2.648142091655228,
      "deflection": 0.003961589319622315,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2149",
      "improvement_over_parent": null
    },
    "node_2151": {
      "node_id": "node_2151",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 310)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 212.15 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.14710390557056,
      "fos_buckling": 1.0951204744589533,
      "fos_yielding": 1.8701311947974488,
      "deflection": 0.004908467307811945,
      "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 1 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 213.56 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.55854758575285,
      "fos_buckling": 1.1282244280951843,
      "fos_yielding": 2.217834905626799,
      "deflection": 0.004776049395909037,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.209)"
      },
      "parent_node_id": "node_2152",
      "improvement_over_parent": null
    },
    "node_2154": {
      "node_id": "node_2154",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 214.28 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.28375460187905,
      "fos_buckling": 1.1355679263379306,
      "fos_yielding": 2.218286319176332,
      "deflection": 0.004758780926172659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.241)"
      },
      "parent_node_id": "node_2153",
      "improvement_over_parent": null
    },
    "node_2155": {
      "node_id": "node_2155",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.51 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.51176817209847,
      "fos_buckling": 1.3265920064612116,
      "fos_yielding": 2.6299028961154205,
      "deflection": 0.004015410707544645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2154",
      "improvement_over_parent": null
    },
    "node_2156": {
      "node_id": "node_2156",
      "content": "MODIFICATION: Increase 10 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.46827096672433,
      "fos_buckling": 1.5404901490518477,
      "fos_yielding": 2.6480976281936326,
      "deflection": 0.003960944142510113,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.462)"
      },
      "parent_node_id": "node_2155",
      "improvement_over_parent": null
    },
    "node_2157": {
      "node_id": "node_2157",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2156",
      "improvement_over_parent": null
    },
    "node_2158": {
      "node_id": "node_2158",
      "content": "INITIAL DESIGN (Trace 311)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 197.25 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.72e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.24775034111033,
      "fos_buckling": 0.2566319448809074,
      "fos_yielding": 1.4564372642773835,
      "deflection": 0.008719313920383606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2159": {
      "node_id": "node_2159",
      "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 199.81 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.70e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.80503154996302,
      "fos_buckling": 0.256628734743584,
      "fos_yielding": 1.4563783261146976,
      "deflection": 0.008703326506953095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.182)"
      },
      "parent_node_id": "node_2158",
      "improvement_over_parent": null
    },
    "node_2160": {
      "node_id": "node_2160",
      "content": "MODIFICATION: Increase 16 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 205.25 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.2505299345898,
      "fos_buckling": 0.2566082295498456,
      "fos_yielding": 1.4560019282405021,
      "deflection": 0.008584886417227721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.385)"
      },
      "parent_node_id": "node_2159",
      "improvement_over_parent": null
    },
    "node_2161": {
      "node_id": "node_2161",
      "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 207.56 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.56e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.56208281887194,
      "fos_buckling": 0.25660822954984547,
      "fos_yielding": 1.4560019282405017,
      "deflection": 0.008563650951166667,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.299)"
      },
      "parent_node_id": "node_2160",
      "improvement_over_parent": null
    },
    "node_2162": {
      "node_id": "node_2162",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 239.51 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.51202519260946,
      "fos_buckling": 0.9126539961076726,
      "fos_yielding": 2.387886940742508,
      "deflection": 0.004418322461281063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2161",
      "improvement_over_parent": null
    },
    "node_2163": {
      "node_id": "node_2163",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55456139535715,
      "fos_buckling": 1.5408070362011284,
      "fos_yielding": 2.6493806358213186,
      "deflection": 0.0039596380636957446,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2162",
      "improvement_over_parent": null
    },
    "node_2164": {
      "node_id": "node_2164",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2163",
      "improvement_over_parent": null
    },
    "node_2165": {
      "node_id": "node_2165",
      "content": "INITIAL DESIGN (Trace 312)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 222.83 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.83046997068593,
      "fos_buckling": 0.6735137835593742,
      "fos_yielding": 2.204059386460382,
      "deflection": 0.005309804695975268,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2166": {
      "node_id": "node_2166",
      "content": "MODIFICATION: Increase 18 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 228.44 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.44181684296103,
      "fos_buckling": 0.672763970388116,
      "fos_yielding": 2.468598972848172,
      "deflection": 0.004944125009140442,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.497)"
      },
      "parent_node_id": "node_2165",
      "improvement_over_parent": null
    },
    "node_2167": {
      "node_id": "node_2167",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 236.28 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.2805798609405,
      "fos_buckling": 0.6724651647805442,
      "fos_yielding": 2.4674983753487347,
      "deflection": 0.005092953240849541,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_2166",
      "improvement_over_parent": null
    },
    "node_2168": {
      "node_id": "node_2168",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53570594283264,
      "fos_buckling": 1.5408287344301206,
      "fos_yielding": 2.6493690468220263,
      "deflection": 0.003959858642410171,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2167",
      "improvement_over_parent": null
    },
    "node_2169": {
      "node_id": "node_2169",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 313)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 193.44 kg\n  Factor of Safety: 0.04\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": 193.44354019639513,
      "fos_buckling": 0.04052834981745574,
      "fos_yielding": 0.5163409081625687,
      "deflection": 0.020442912824502033,
      "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 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 197.19 kg\n  Factor of Safety: 0.04\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": 197.1944807115059,
      "fos_buckling": 0.040525943522132714,
      "fos_yielding": 0.5163102513823643,
      "deflection": 0.02006915043204473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002317)"
      },
      "parent_node_id": "node_2170",
      "improvement_over_parent": null
    },
    "node_2172": {
      "node_id": "node_2172",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 247.85 kg\n  Factor of Safety: 0.05\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": 247.84982605394745,
      "fos_buckling": 0.04902105960619685,
      "fos_yielding": 0.6475449741211471,
      "deflection": 0.016010643114328833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2171",
      "improvement_over_parent": null
    },
    "node_2173": {
      "node_id": "node_2173",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.41 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.41296703316726,
      "fos_buckling": 1.5402373998363204,
      "fos_yielding": 2.648175302872653,
      "deflection": 0.00396158343506524,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2172",
      "improvement_over_parent": null
    },
    "node_2174": {
      "node_id": "node_2174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2173",
      "improvement_over_parent": null
    },
    "node_2175": {
      "node_id": "node_2175",
      "content": "INITIAL DESIGN (Trace 314)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 155.29 kg\n  Factor of Safety: 0.11\n  Max Deflection: 4.15e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.2862774236154,
      "fos_buckling": 0.10680441655093108,
      "fos_yielding": 0.7120461502357238,
      "deflection": 4148296165349.0244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2176": {
      "node_id": "node_2176",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n  Mass: 166.47 kg\n  Factor of Safety: 0.04\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": 166.46572265286233,
      "fos_buckling": 0.04136232644168265,
      "fos_yielding": 0.5286019161677481,
      "deflection": 0.020812594491247813,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003094)"
      },
      "parent_node_id": "node_2175",
      "improvement_over_parent": null
    },
    "node_2177": {
      "node_id": "node_2177",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 171.87 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.08e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.86716719030292,
      "fos_buckling": 0.041355244915576114,
      "fos_yielding": 0.5285114157391858,
      "deflection": 0.02078862863322285,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002386)"
      },
      "parent_node_id": "node_2176",
      "improvement_over_parent": null
    },
    "node_2178": {
      "node_id": "node_2178",
      "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0049)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 176.78 kg\n  Factor of Safety: 0.04\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": 176.77636771967266,
      "fos_buckling": 0.0413520276303277,
      "fos_yielding": 0.5284702995038704,
      "deflection": 0.020765158194113714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.372)"
      },
      "parent_node_id": "node_2177",
      "improvement_over_parent": null
    },
    "node_2179": {
      "node_id": "node_2179",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 217.40 kg\n  Factor of Safety: 0.05\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": 217.3958260609312,
      "fos_buckling": 0.04913494593834841,
      "fos_yielding": 0.6491478846936748,
      "deflection": 0.016910125571983563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_2178",
      "improvement_over_parent": null
    },
    "node_2180": {
      "node_id": "node_2180",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 249.35 kg\n  Factor of Safety: 0.05\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": 249.3457684346687,
      "fos_buckling": 0.04906055037003279,
      "fos_yielding": 0.6481650053014136,
      "deflection": 0.01616563807083055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2179",
      "improvement_over_parent": null
    },
    "node_2181": {
      "node_id": "node_2181",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 258.91 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.9089094138885,
      "fos_buckling": 1.4755992076024957,
      "fos_yielding": 2.6575429765601686,
      "deflection": 0.003955755840193731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2180",
      "improvement_over_parent": null
    },
    "node_2182": {
      "node_id": "node_2182",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2181",
      "improvement_over_parent": null
    },
    "node_2183": {
      "node_id": "node_2183",
      "content": "INITIAL DESIGN (Trace 315)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0012)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 117.01 kg\n  Factor of Safety: 0.51\n  Max Deflection: 9.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 117.00838935007879,
      "fos_buckling": 0.507095421480231,
      "fos_yielding": 1.319270350002192,
      "deflection": 0.009244079969997822,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2184": {
      "node_id": "node_2184",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 151.02 kg\n  Factor of Safety: 0.64\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.020659518438,
      "fos_buckling": 0.637043471659946,
      "fos_yielding": 1.6996358393840072,
      "deflection": 0.007177288498115807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2183",
      "improvement_over_parent": null
    },
    "node_2185": {
      "node_id": "node_2185",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 162.56 kg\n  Factor of Safety: 0.87\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.5599528828092,
      "fos_buckling": 0.8655682185339397,
      "fos_yielding": 1.7119399377063271,
      "deflection": 0.0062170138921747555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002748)"
      },
      "parent_node_id": "node_2184",
      "improvement_over_parent": null
    },
    "node_2186": {
      "node_id": "node_2186",
      "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 165.16 kg\n  Factor of Safety: 1.06\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.1615001327062,
      "fos_buckling": 1.0559930874459573,
      "fos_yielding": 1.7062969902782006,
      "deflection": 0.006141706694817605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.580)"
      },
      "parent_node_id": "node_2185",
      "improvement_over_parent": null
    },
    "node_2187": {
      "node_id": "node_2187",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 202.73 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.73004506849205,
      "fos_buckling": 1.2622591124639588,
      "fos_yielding": 2.0908225292722507,
      "deflection": 0.005014447007694719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2186",
      "improvement_over_parent": null
    },
    "node_2188": {
      "node_id": "node_2188",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5776363777495,
      "fos_buckling": 1.5410421041134683,
      "fos_yielding": 2.649837864689595,
      "deflection": 0.003959191006307396,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2187",
      "improvement_over_parent": null
    },
    "node_2189": {
      "node_id": "node_2189",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2188",
      "improvement_over_parent": null
    },
    "node_2190": {
      "node_id": "node_2190",
      "content": "INITIAL DESIGN (Trace 316)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 133.19 kg\n  Factor of Safety: 0.17\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": 133.19000265703735,
      "fos_buckling": 0.1710246504342681,
      "fos_yielding": 0.8714130305652975,
      "deflection": 0.013721120104060435,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2191": {
      "node_id": "node_2191",
      "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 134.59 kg\n  Factor of Safety: 0.17\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": 134.58692341292306,
      "fos_buckling": 0.1715487256411267,
      "fos_yielding": 0.871355077685547,
      "deflection": 0.013583794794716518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.391)"
      },
      "parent_node_id": "node_2190",
      "improvement_over_parent": null
    },
    "node_2192": {
      "node_id": "node_2192",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 149.70 kg\n  Factor of Safety: 0.19\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": 149.70178876986463,
      "fos_buckling": 0.18861953434967887,
      "fos_yielding": 0.9685765736757841,
      "deflection": 0.012219827219464956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2191",
      "improvement_over_parent": null
    },
    "node_2193": {
      "node_id": "node_2193",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 177.61 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.03e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.60881212214878,
      "fos_buckling": 0.21897648350856186,
      "fos_yielding": 1.147744354423334,
      "deflection": 0.01031150528693216,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_2192",
      "improvement_over_parent": null
    },
    "node_2194": {
      "node_id": "node_2194",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 196.31 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.34e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.3068646900126,
      "fos_buckling": 0.23847389768688027,
      "fos_yielding": 1.2675463960363227,
      "deflection": 0.009336457245112968,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.114)"
      },
      "parent_node_id": "node_2193",
      "improvement_over_parent": null
    },
    "node_2195": {
      "node_id": "node_2195",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 224.09 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.08794247641032,
      "fos_buckling": 1.3733005620926801,
      "fos_yielding": 2.308980295798265,
      "deflection": 0.00454183434885121,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005071)"
      },
      "parent_node_id": "node_2194",
      "improvement_over_parent": null
    },
    "node_2196": {
      "node_id": "node_2196",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53951664735587,
      "fos_buckling": 1.5401496091638704,
      "fos_yielding": 2.649610493307617,
      "deflection": 0.003959528448887871,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2195",
      "improvement_over_parent": null
    },
    "node_2197": {
      "node_id": "node_2197",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 317)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 0.05\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": 204.6187352715281,
      "fos_buckling": 0.049112543482490875,
      "fos_yielding": 0.6488080264932039,
      "deflection": 0.016468465111523715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2199": {
      "node_id": "node_2199",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 225.57 kg\n  Factor of Safety: 0.05\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": 225.5749192783437,
      "fos_buckling": 0.049063750995306056,
      "fos_yielding": 0.6481634466145552,
      "deflection": 0.016508178927685316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_2198",
      "improvement_over_parent": null
    },
    "node_2200": {
      "node_id": "node_2200",
      "content": "MODIFICATION: Increase 16 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 228.86 kg\n  Factor of Safety: 0.05\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": 228.86444374668633,
      "fos_buckling": 0.049056100765632264,
      "fos_yielding": 0.6480623822007635,
      "deflection": 0.016355402804087055,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.245)"
      },
      "parent_node_id": "node_2199",
      "improvement_over_parent": null
    },
    "node_2201": {
      "node_id": "node_2201",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 246.85 kg\n  Factor of Safety: 0.05\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": 246.85380831334624,
      "fos_buckling": 0.04904216134334042,
      "fos_yielding": 0.6478782335408422,
      "deflection": 0.0160633996448925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2200",
      "improvement_over_parent": null
    },
    "node_2202": {
      "node_id": "node_2202",
      "content": "MODIFICATION: Increase 4 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 247.96 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.95883746944034,
      "fos_buckling": 0.04903959344527852,
      "fos_yielding": 0.6478443099694766,
      "deflection": 0.016003516172033615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.311)"
      },
      "parent_node_id": "node_2201",
      "improvement_over_parent": null
    },
    "node_2203": {
      "node_id": "node_2203",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52197844866015,
      "fos_buckling": 1.5408461757201921,
      "fos_yielding": 2.6493677439261334,
      "deflection": 0.003959966757409929,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2202",
      "improvement_over_parent": null
    },
    "node_2204": {
      "node_id": "node_2204",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2203",
      "improvement_over_parent": null
    },
    "node_2205": {
      "node_id": "node_2205",
      "content": "INITIAL DESIGN (Trace 318)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 205.51 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.51053328872285,
      "fos_buckling": 0.6738747030819006,
      "fos_yielding": 2.2469722785206394,
      "deflection": 0.006214730547657907,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2206": {
      "node_id": "node_2206",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 214.73 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.72705197407737,
      "fos_buckling": 0.6736984282571687,
      "fos_yielding": 2.3951991247442557,
      "deflection": 0.005882430157426908,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.445)"
      },
      "parent_node_id": "node_2205",
      "improvement_over_parent": null
    },
    "node_2207": {
      "node_id": "node_2207",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.98 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.9821780559695,
      "fos_buckling": 0.9173933250692012,
      "fos_yielding": 2.3937382572281733,
      "deflection": 0.00504722030619977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2206",
      "improvement_over_parent": null
    },
    "node_2208": {
      "node_id": "node_2208",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 245.95 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.95393145466517,
      "fos_buckling": 1.1629364431624394,
      "fos_yielding": 2.4276762897075272,
      "deflection": 0.004519152644086705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_2207",
      "improvement_over_parent": null
    },
    "node_2209": {
      "node_id": "node_2209",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 250.96 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.9571580633315,
      "fos_buckling": 1.4355896343895973,
      "fos_yielding": 2.7181030423410633,
      "deflection": 0.003888277899513353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2208",
      "improvement_over_parent": null
    },
    "node_2210": {
      "node_id": "node_2210",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5159462514811,
      "fos_buckling": 1.5404023006545058,
      "fos_yielding": 2.649351514684295,
      "deflection": 0.003960054555370343,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2209",
      "improvement_over_parent": null
    },
    "node_2211": {
      "node_id": "node_2211",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2210",
      "improvement_over_parent": null
    },
    "node_2212": {
      "node_id": "node_2212",
      "content": "INITIAL DESIGN (Trace 319)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 150.38 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.17e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.3826337750681,
      "fos_buckling": 0.17962968819988262,
      "fos_yielding": 1.0236767095793093,
      "deflection": 0.01167211397558342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2213": {
      "node_id": "node_2213",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 164.36 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.35544011192403,
      "fos_buckling": 0.17962968819988262,
      "fos_yielding": 1.0236767095793093,
      "deflection": 0.011364459295772166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003369)"
      },
      "parent_node_id": "node_2212",
      "improvement_over_parent": null
    },
    "node_2214": {
      "node_id": "node_2214",
      "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 165.72 kg\n  Factor of Safety: 0.18\n  Max Deflection: 1.13e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.72190071897398,
      "fos_buckling": 0.17962968819988243,
      "fos_yielding": 1.0236767095793085,
      "deflection": 0.011348521519408475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.637)"
      },
      "parent_node_id": "node_2213",
      "improvement_over_parent": null
    },
    "node_2215": {
      "node_id": "node_2215",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0013)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 170.82 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.81587463728715,
      "fos_buckling": 0.21676321239799118,
      "fos_yielding": 1.1321888441492358,
      "deflection": 0.010505601385333128,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002034)"
      },
      "parent_node_id": "node_2214",
      "improvement_over_parent": null
    },
    "node_2216": {
      "node_id": "node_2216",
      "content": "MODIFICATION: Increase 12 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n\nPerformance:\n  Mass: 173.25 kg\n  Factor of Safety: 0.22\n  Max Deflection: 1.05e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.2472010189227,
      "fos_buckling": 0.2165104082614382,
      "fos_yielding": 1.1321888441492356,
      "deflection": 0.010469667712722714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.637)"
      },
      "parent_node_id": "node_2215",
      "improvement_over_parent": null
    },
    "node_2217": {
      "node_id": "node_2217",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 223.17 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.16825782148453,
      "fos_buckling": 0.2678140582193628,
      "fos_yielding": 1.4549403355471495,
      "deflection": 0.008145838059021415,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2216",
      "improvement_over_parent": null
    },
    "node_2218": {
      "node_id": "node_2218",
      "content": "MODIFICATION: Increase 12 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 225.62 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.62463809548544,
      "fos_buckling": 0.2676749786189996,
      "fos_yielding": 1.4549403355471495,
      "deflection": 0.008133397526797873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.323)"
      },
      "parent_node_id": "node_2217",
      "improvement_over_parent": null
    },
    "node_2219": {
      "node_id": "node_2219",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.57458046922295,
      "fos_buckling": 1.5408383742404053,
      "fos_yielding": 2.6497005368863054,
      "deflection": 0.003959299797634934,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2218",
      "improvement_over_parent": null
    },
    "node_2220": {
      "node_id": "node_2220",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2219",
      "improvement_over_parent": null
    },
    "node_2221": {
      "node_id": "node_2221",
      "content": "INITIAL DESIGN (Trace 320)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 126.09 kg\n  Factor of Safety: 0.58\n  Max Deflection: 8.81e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.09481896755167,
      "fos_buckling": 0.5849858216170825,
      "fos_yielding": 1.4306952961391082,
      "deflection": 0.008811775956554654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2222": {
      "node_id": "node_2222",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 157.86 kg\n  Factor of Safety: 0.71\n  Max Deflection: 7.05e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.86211284837674,
      "fos_buckling": 0.7132845640715336,
      "fos_yielding": 1.7880700461736525,
      "deflection": 0.007054026599175504,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2221",
      "improvement_over_parent": null
    },
    "node_2223": {
      "node_id": "node_2223",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n  Mass: 163.71 kg\n  Factor of Safety: 0.71\n  Max Deflection: 6.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.70732288926885,
      "fos_buckling": 0.7130440036198286,
      "fos_yielding": 1.7874696047109369,
      "deflection": 0.006573447852950387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002362)"
      },
      "parent_node_id": "node_2222",
      "improvement_over_parent": null
    },
    "node_2224": {
      "node_id": "node_2224",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n  Mass: 192.28 kg\n  Factor of Safety: 0.82\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.28162088552938,
      "fos_buckling": 0.818057096234929,
      "fos_yielding": 2.0962302132732695,
      "deflection": 0.005605539599673778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2223",
      "improvement_over_parent": null
    },
    "node_2225": {
      "node_id": "node_2225",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 208.08 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.07717910167162,
      "fos_buckling": 1.0434849219553677,
      "fos_yielding": 2.1300007865281185,
      "deflection": 0.005126139176052838,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003839)"
      },
      "parent_node_id": "node_2224",
      "improvement_over_parent": null
    },
    "node_2226": {
      "node_id": "node_2226",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 224.79 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.79017557602722,
      "fos_buckling": 1.3816937770416262,
      "fos_yielding": 2.3250140382611684,
      "deflection": 0.004533985050801048,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003949)"
      },
      "parent_node_id": "node_2225",
      "improvement_over_parent": null
    },
    "node_2227": {
      "node_id": "node_2227",
      "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 225.60 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.51e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.60499653877767,
      "fos_buckling": 1.3817780138904265,
      "fos_yielding": 2.324543059298487,
      "deflection": 0.00451164390072212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.217)"
      },
      "parent_node_id": "node_2226",
      "improvement_over_parent": null
    },
    "node_2228": {
      "node_id": "node_2228",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6371116895251,
      "fos_buckling": 1.5413608699505492,
      "fos_yielding": 2.650706670783001,
      "deflection": 0.003958012194902504,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.156)"
      },
      "parent_node_id": "node_2227",
      "improvement_over_parent": null
    },
    "node_2229": {
      "node_id": "node_2229",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2228",
      "improvement_over_parent": null
    },
    "node_2230": {
      "node_id": "node_2230",
      "content": "INITIAL DESIGN (Trace 321)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 162.41 kg\n  Factor of Safety: 0.05\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": 162.41319297619964,
      "fos_buckling": 0.047883287121758475,
      "fos_yielding": 0.21939578334432475,
      "deflection": 76585668222555.81,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2231": {
      "node_id": "node_2231",
      "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 163.99 kg\n  Factor of Safety: 0.15\n  Max Deflection: 8.08e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.99035904021636,
      "fos_buckling": 0.15050454341164252,
      "fos_yielding": 1.1701108445030652,
      "deflection": 8083121631787.7295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.220)"
      },
      "parent_node_id": "node_2230",
      "improvement_over_parent": null
    },
    "node_2232": {
      "node_id": "node_2232",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n\nPerformance:\n  Mass: 182.97 kg\n  Factor of Safety: 0.06\n  Max Deflection: 1.20e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.9712045997776,
      "fos_buckling": 0.0585295446600832,
      "fos_yielding": 0.7602919033114739,
      "deflection": 12013314344263.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004293)"
      },
      "parent_node_id": "node_2231",
      "improvement_over_parent": null
    },
    "node_2233": {
      "node_id": "node_2233",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 202.15 kg\n  Factor of Safety: 0.07\n  Max Deflection: 2.78e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.15068129464177,
      "fos_buckling": 0.07151325348288207,
      "fos_yielding": 0.41987346530455066,
      "deflection": 27827352857626.54,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2232",
      "improvement_over_parent": null
    },
    "node_2234": {
      "node_id": "node_2234",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 234.10 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.10062366837928,
      "fos_buckling": 1.1635737504664125,
      "fos_yielding": 2.4295007852502084,
      "deflection": 0.004477023609363254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2233",
      "improvement_over_parent": null
    },
    "node_2235": {
      "node_id": "node_2235",
      "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 235.68 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.6814066966773,
      "fos_buckling": 1.163486581291873,
      "fos_yielding": 2.429318779100699,
      "deflection": 0.004477209361095063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.506)"
      },
      "parent_node_id": "node_2234",
      "improvement_over_parent": null
    },
    "node_2236": {
      "node_id": "node_2236",
      "content": "MODIFICATION: Increase 8 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 238.56 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.55585392490718,
      "fos_buckling": 1.163486581291873,
      "fos_yielding": 2.429318779100699,
      "deflection": 0.004477209361095063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.368)"
      },
      "parent_node_id": "node_2235",
      "improvement_over_parent": null
    },
    "node_2237": {
      "node_id": "node_2237",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.64559769971464,
      "fos_buckling": 1.5408460994993343,
      "fos_yielding": 2.6523523534528284,
      "deflection": 0.003957738922699669,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_2236",
      "improvement_over_parent": null
    },
    "node_2238": {
      "node_id": "node_2238",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2237",
      "improvement_over_parent": null
    },
    "node_2239": {
      "node_id": "node_2239",
      "content": "INITIAL DESIGN (Trace 322)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 132.75 kg\n  Factor of Safety: 0.72\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.7496702340364,
      "fos_buckling": 0.7197511898497913,
      "fos_yielding": 1.121329249427583,
      "deflection": 0.008206923068876939,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2240": {
      "node_id": "node_2240",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 152.21 kg\n  Factor of Safety: 0.81\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.21019951934494,
      "fos_buckling": 0.8128863056359908,
      "fos_yielding": 1.2864536342998854,
      "deflection": 0.007163985235979156,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2239",
      "improvement_over_parent": null
    },
    "node_2241": {
      "node_id": "node_2241",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 184.87 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.86664551020598,
      "fos_buckling": 0.9621308528272288,
      "fos_yielding": 1.5641254938244655,
      "deflection": 0.005907147555797123,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2240",
      "improvement_over_parent": null
    },
    "node_2242": {
      "node_id": "node_2242",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 232.78 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.78229316733865,
      "fos_buckling": 1.1652171825221855,
      "fos_yielding": 1.973090211228278,
      "deflection": 0.004701149589427373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_2241",
      "improvement_over_parent": null
    },
    "node_2243": {
      "node_id": "node_2243",
      "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.16 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.15843805157164,
      "fos_buckling": 1.165129687410805,
      "fos_yielding": 1.9729420536569815,
      "deflection": 0.004685100769831083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.610)"
      },
      "parent_node_id": "node_2242",
      "improvement_over_parent": null
    },
    "node_2244": {
      "node_id": "node_2244",
      "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.74 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.74088918630721,
      "fos_buckling": 1.165042296301967,
      "fos_yielding": 2.2275125017562916,
      "deflection": 0.004600800371674145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.256)"
      },
      "parent_node_id": "node_2243",
      "improvement_over_parent": null
    },
    "node_2245": {
      "node_id": "node_2245",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 255.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 4.09e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.83063296111467,
      "fos_buckling": 1.5375852077031698,
      "fos_yielding": 2.1480729073764753,
      "deflection": 0.004092324136508586,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_2244",
      "improvement_over_parent": null
    },
    "node_2246": {
      "node_id": "node_2246",
      "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.88 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.88083706935674,
      "fos_buckling": 1.5424326520608782,
      "fos_yielding": 2.655216134016695,
      "deflection": 0.003953989748365669,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.271)"
      },
      "parent_node_id": "node_2245",
      "improvement_over_parent": null
    },
    "node_2247": {
      "node_id": "node_2247",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2246",
      "improvement_over_parent": null
    },
    "node_2248": {
      "node_id": "node_2248",
      "content": "INITIAL DESIGN (Trace 323)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0010)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0012)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0016)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 124.77 kg\n  Factor of Safety: 0.68\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 124.76577594314766,
      "fos_buckling": 0.6796256767704829,
      "fos_yielding": 1.3552430988807391,
      "deflection": 0.00808863189857682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2249": {
      "node_id": "node_2249",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0021)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.06 kg\n  Factor of Safety: 0.88\n  Max Deflection: 6.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.0577517299399,
      "fos_buckling": 0.8795010770519393,
      "fos_yielding": 1.7779522771930174,
      "deflection": 0.0061645555105814915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.333)"
      },
      "parent_node_id": "node_2248",
      "improvement_over_parent": null
    },
    "node_2250": {
      "node_id": "node_2250",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 196.06 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.06490020420688,
      "fos_buckling": 1.0372349287724418,
      "fos_yielding": 2.1208085972481556,
      "deflection": 0.005167166504432743,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2249",
      "improvement_over_parent": null
    },
    "node_2251": {
      "node_id": "node_2251",
      "content": "MODIFICATION: Increase 18 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 201.33 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.33172948219465,
      "fos_buckling": 1.0073681276735813,
      "fos_yielding": 2.127113851530944,
      "deflection": 0.005037440065073564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.493)"
      },
      "parent_node_id": "node_2250",
      "improvement_over_parent": null
    },
    "node_2252": {
      "node_id": "node_2252",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.21 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.20553875619134,
      "fos_buckling": 1.2346299049759508,
      "fos_yielding": 2.6573607581527754,
      "deflection": 0.004033119475251495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_2251",
      "improvement_over_parent": null
    },
    "node_2253": {
      "node_id": "node_2253",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.10 kg\n  Factor of Safety: 1.24\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.1005511996619,
      "fos_buckling": 1.235591867598423,
      "fos_yielding": 2.649071648561626,
      "deflection": 0.003987190660489735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.565)"
      },
      "parent_node_id": "node_2252",
      "improvement_over_parent": null
    },
    "node_2254": {
      "node_id": "node_2254",
      "content": "MODIFICATION: Increase 7 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5863521867992,
      "fos_buckling": 1.5411386558038576,
      "fos_yielding": 2.6498956186562665,
      "deflection": 0.003959078786879105,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.504)"
      },
      "parent_node_id": "node_2253",
      "improvement_over_parent": null
    },
    "node_2255": {
      "node_id": "node_2255",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2254",
      "improvement_over_parent": null
    },
    "node_2256": {
      "node_id": "node_2256",
      "content": "INITIAL DESIGN (Trace 324)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 215.39 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.39025893750596,
      "fos_buckling": 1.1345132537806566,
      "fos_yielding": 2.00208416500412,
      "deflection": 0.004803761677901918,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2257": {
      "node_id": "node_2257",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 216.18 kg\n  Factor of Safety: 1.14\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.18135711922747,
      "fos_buckling": 1.1388667256398182,
      "fos_yielding": 2.000319677193747,
      "deflection": 0.004788015419298583,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.236)"
      },
      "parent_node_id": "node_2256",
      "improvement_over_parent": null
    },
    "node_2258": {
      "node_id": "node_2258",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.43 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.43214343120903,
      "fos_buckling": 1.2720843818494902,
      "fos_yielding": 2.262092347233894,
      "deflection": 0.004239911075890951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2257",
      "improvement_over_parent": null
    },
    "node_2259": {
      "node_id": "node_2259",
      "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.30 kg\n  Factor of Safety: 1.46\n  Max Deflection: 4.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.30007631226138,
      "fos_buckling": 1.460000894173124,
      "fos_yielding": 2.2779011849457196,
      "deflection": 0.004183220220440737,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.443)"
      },
      "parent_node_id": "node_2258",
      "improvement_over_parent": null
    },
    "node_2260": {
      "node_id": "node_2260",
      "content": "MODIFICATION: Increase 19 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.91 kg\n  Factor of Safety: 1.54\n  Max Deflection: 4.11e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 253.91455928936148,
      "fos_buckling": 1.5384642254277767,
      "fos_yielding": 2.2796090262246103,
      "deflection": 0.004109409352891946,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.637)"
      },
      "parent_node_id": "node_2259",
      "improvement_over_parent": null
    },
    "node_2261": {
      "node_id": "node_2261",
      "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.05 kg\n  Factor of Safety: 1.54\n  Max Deflection: 4.05e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.04715864474286,
      "fos_buckling": 1.537446796680405,
      "fos_yielding": 2.2851015401908215,
      "deflection": 0.0040536663980121745,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.376)"
      },
      "parent_node_id": "node_2260",
      "improvement_over_parent": null
    },
    "node_2262": {
      "node_id": "node_2262",
      "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5156168212036,
      "fos_buckling": 1.5407070307701516,
      "fos_yielding": 2.6483302580706587,
      "deflection": 0.003960310096065831,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.182)"
      },
      "parent_node_id": "node_2261",
      "improvement_over_parent": null
    },
    "node_2263": {
      "node_id": "node_2263",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2262",
      "improvement_over_parent": null
    },
    "node_2264": {
      "node_id": "node_2264",
      "content": "INITIAL DESIGN (Trace 325)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 123.38 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.97e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.37540789077983,
      "fos_buckling": 0.19720644133408938,
      "fos_yielding": 0.6134807374300583,
      "deflection": 0.03970948174951259,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2265": {
      "node_id": "node_2265",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n\nPerformance:\n  Mass: 127.89 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.88798455381655,
      "fos_buckling": 0.25803194107400423,
      "fos_yielding": 1.1913794524573638,
      "deflection": 0.008653279619214362,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002010)"
      },
      "parent_node_id": "node_2264",
      "improvement_over_parent": null
    },
    "node_2266": {
      "node_id": "node_2266",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n\nPerformance:\n  Mass: 152.02 kg\n  Factor of Safety: 0.30\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.02225471342592,
      "fos_buckling": 0.3020845302430082,
      "fos_yielding": 1.4186769482353898,
      "deflection": 0.007287891235550543,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2265",
      "improvement_over_parent": null
    },
    "node_2267": {
      "node_id": "node_2267",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n  Mass: 170.19 kg\n  Factor of Safety: 0.33\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.1946858618581,
      "fos_buckling": 0.3342752901372583,
      "fos_yielding": 1.5904425974995349,
      "deflection": 0.006515347008185051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2266",
      "improvement_over_parent": null
    },
    "node_2268": {
      "node_id": "node_2268",
      "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n\nPerformance:\n  Mass: 172.12 kg\n  Factor of Safety: 0.34\n  Max Deflection: 6.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.12098827141568,
      "fos_buckling": 0.3428625993754062,
      "fos_yielding": 1.732834787747235,
      "deflection": 0.00641599359825762,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.527)"
      },
      "parent_node_id": "node_2267",
      "improvement_over_parent": null
    },
    "node_2269": {
      "node_id": "node_2269",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n\nPerformance:\n  Mass: 210.69 kg\n  Factor of Safety: 0.41\n  Max Deflection: 5.25e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.68915772548138,
      "fos_buckling": 0.4092523922232156,
      "fos_yielding": 2.11770281578259,
      "deflection": 0.00525166339626205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2268",
      "improvement_over_parent": null
    },
    "node_2270": {
      "node_id": "node_2270",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 219.18 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.17898099431625,
      "fos_buckling": 1.3486844144225172,
      "fos_yielding": 2.25878623391057,
      "deflection": 0.004642552298088382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003072)"
      },
      "parent_node_id": "node_2269",
      "improvement_over_parent": null
    },
    "node_2271": {
      "node_id": "node_2271",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4915522882588,
      "fos_buckling": 1.5406681539661657,
      "fos_yielding": 2.648985058800205,
      "deflection": 0.003960514678004379,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2270",
      "improvement_over_parent": null
    },
    "node_2272": {
      "node_id": "node_2272",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2271",
      "improvement_over_parent": null
    },
    "node_2273": {
      "node_id": "node_2273",
      "content": "INITIAL DESIGN (Trace 326)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 133.44 kg\n  Factor of Safety: 0.57\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.44007122336842,
      "fos_buckling": 0.5684700383324799,
      "fos_yielding": 1.4775689764946576,
      "deflection": 0.0082101965915778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2274": {
      "node_id": "node_2274",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 147.98 kg\n  Factor of Safety: 0.62\n  Max Deflection: 7.41e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.98480585878653,
      "fos_buckling": 0.6232143884007647,
      "fos_yielding": 1.637498470790284,
      "deflection": 0.007409285584487164,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2273",
      "improvement_over_parent": null
    },
    "node_2275": {
      "node_id": "node_2275",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 184.73 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.73385676417388,
      "fos_buckling": 0.7553063601978565,
      "fos_yielding": 2.0406023152468324,
      "deflection": 0.005947547973279178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.266)"
      },
      "parent_node_id": "node_2274",
      "improvement_over_parent": null
    },
    "node_2276": {
      "node_id": "node_2276",
      "content": "MODIFICATION: Increase 10 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 186.98 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.98097945461294,
      "fos_buckling": 0.7551125495928787,
      "fos_yielding": 2.058624848658148,
      "deflection": 0.005845473187069992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.435)"
      },
      "parent_node_id": "node_2275",
      "improvement_over_parent": null
    },
    "node_2277": {
      "node_id": "node_2277",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.61 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.61410752333546,
      "fos_buckling": 0.9269559868557862,
      "fos_yielding": 2.63151752027116,
      "deflection": 0.0045758795925187196,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_2276",
      "improvement_over_parent": null
    },
    "node_2278": {
      "node_id": "node_2278",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.60347208999536,
      "fos_buckling": 1.541238402731344,
      "fos_yielding": 2.6502016524552374,
      "deflection": 0.003958736683772001,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2277",
      "improvement_over_parent": null
    },
    "node_2279": {
      "node_id": "node_2279",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2278",
      "improvement_over_parent": null
    },
    "node_2280": {
      "node_id": "node_2280",
      "content": "INITIAL DESIGN (Trace 327)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 134.01 kg\n  Factor of Safety: 0.20\n  Max Deflection: 3.47e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 134.00969651907852,
      "fos_buckling": 0.1995306448374811,
      "fos_yielding": 0.2659428378122121,
      "deflection": 34688709136695.633,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2281": {
      "node_id": "node_2281",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n\nPerformance:\n  Mass: 155.42 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.42456577334724,
      "fos_buckling": 0.8293447994720275,
      "fos_yielding": 1.6336012343781243,
      "deflection": 0.0067041145221253375,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003837)"
      },
      "parent_node_id": "node_2280",
      "improvement_over_parent": null
    },
    "node_2282": {
      "node_id": "node_2282",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n\nPerformance:\n  Mass: 175.76 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.7643761354209,
      "fos_buckling": 0.9230734976989853,
      "fos_yielding": 1.8457823392407304,
      "deflection": 0.005936071960404257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_2281",
      "improvement_over_parent": null
    },
    "node_2283": {
      "node_id": "node_2283",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 201.58 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.5806540075069,
      "fos_buckling": 1.0371464743639227,
      "fos_yielding": 2.1145635763671637,
      "deflection": 0.005184444177032035,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2282",
      "improvement_over_parent": null
    },
    "node_2284": {
      "node_id": "node_2284",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 207.28 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.2829976569042,
      "fos_buckling": 1.036678706286166,
      "fos_yielding": 2.1136098775754686,
      "deflection": 0.0051434198380809135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002297)"
      },
      "parent_node_id": "node_2283",
      "improvement_over_parent": null
    },
    "node_2285": {
      "node_id": "node_2285",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n\nPerformance:\n  Mass: 223.87 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.55e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.87490667896373,
      "fos_buckling": 1.3728538840482374,
      "fos_yielding": 2.306695230265297,
      "deflection": 0.004546347761000776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003918)"
      },
      "parent_node_id": "node_2284",
      "improvement_over_parent": null
    },
    "node_2286": {
      "node_id": "node_2286",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.70022089944496,
      "fos_buckling": 1.5416139743878245,
      "fos_yielding": 2.6511171392049113,
      "deflection": 0.003957307807977202,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.166)"
      },
      "parent_node_id": "node_2285",
      "improvement_over_parent": null
    },
    "node_2287": {
      "node_id": "node_2287",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2286",
      "improvement_over_parent": null
    },
    "node_2288": {
      "node_id": "node_2288",
      "content": "INITIAL DESIGN (Trace 328)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 182.91 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.90767031232735,
      "fos_buckling": 0.7629562272286252,
      "fos_yielding": 1.932642077649331,
      "deflection": 0.005739587038806241,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2289": {
      "node_id": "node_2289",
      "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 186.77 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.76551221633977,
      "fos_buckling": 0.7628713768543057,
      "fos_yielding": 1.9324281093096614,
      "deflection": 0.005693835811523591,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.359)"
      },
      "parent_node_id": "node_2288",
      "improvement_over_parent": null
    },
    "node_2290": {
      "node_id": "node_2290",
      "content": "MODIFICATION: Increase 11 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 188.57 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.57183889672777,
      "fos_buckling": 0.7629508339266012,
      "fos_yielding": 1.9322277828690488,
      "deflection": 0.0055753929541229996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.546)"
      },
      "parent_node_id": "node_2289",
      "improvement_over_parent": null
    },
    "node_2291": {
      "node_id": "node_2291",
      "content": "MODIFICATION: Increase 13 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 193.31 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.31119666733403,
      "fos_buckling": 0.7628465993863538,
      "fos_yielding": 1.9319650421438006,
      "deflection": 0.005460461876656806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.242)"
      },
      "parent_node_id": "node_2290",
      "improvement_over_parent": null
    },
    "node_2292": {
      "node_id": "node_2292",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.61 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.61323495593734,
      "fos_buckling": 0.9126040367201999,
      "fos_yielding": 2.389151828790549,
      "deflection": 0.004416626696459287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2291",
      "improvement_over_parent": null
    },
    "node_2293": {
      "node_id": "node_2293",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.655771158685,
      "fos_buckling": 1.5415619751465421,
      "fos_yielding": 2.650783730175897,
      "deflection": 0.003957872311100737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2292",
      "improvement_over_parent": null
    },
    "node_2294": {
      "node_id": "node_2294",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2293",
      "improvement_over_parent": null
    },
    "node_2295": {
      "node_id": "node_2295",
      "content": "INITIAL DESIGN (Trace 329)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n\nPerformance:\n  Mass: 116.10 kg\n  Factor of Safety: 0.37\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 116.09611343551246,
      "fos_buckling": 0.37202103002210285,
      "fos_yielding": 1.2249734570648116,
      "deflection": 0.011074489601020358,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2296": {
      "node_id": "node_2296",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 126.76 kg\n  Factor of Safety: 0.64\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.76479073922927,
      "fos_buckling": 0.6396066079249949,
      "fos_yielding": 1.2247660045108606,
      "deflection": 0.008864077544919392,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002309)"
      },
      "parent_node_id": "node_2295",
      "improvement_over_parent": null
    },
    "node_2297": {
      "node_id": "node_2297",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n\nPerformance:\n  Mass: 128.47 kg\n  Factor of Safety: 0.70\n  Max Deflection: 7.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.47065804757426,
      "fos_buckling": 0.6971443140342212,
      "fos_yielding": 1.3402191746029604,
      "deflection": 0.00788225155552149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.000983)"
      },
      "parent_node_id": "node_2296",
      "improvement_over_parent": null
    },
    "node_2298": {
      "node_id": "node_2298",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n\nPerformance:\n  Mass: 155.06 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.06448035017877,
      "fos_buckling": 0.8326197587749181,
      "fos_yielding": 1.6155815821883692,
      "deflection": 0.006540401741503545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2297",
      "improvement_over_parent": null
    },
    "node_2299": {
      "node_id": "node_2299",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n\nPerformance:\n  Mass: 203.06 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.05522424089804,
      "fos_buckling": 1.0693962348768653,
      "fos_yielding": 2.110706705652085,
      "deflection": 0.005008353717913769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_2298",
      "improvement_over_parent": null
    },
    "node_2300": {
      "node_id": "node_2300",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n  Mass: 256.16 kg\n  Factor of Safety: 1.32\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.15916767430326,
      "fos_buckling": 1.3198072718194496,
      "fos_yielding": 2.6559040138560057,
      "deflection": 0.00398211625685321,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2299",
      "improvement_over_parent": null
    },
    "node_2301": {
      "node_id": "node_2301",
      "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0063)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n  Mass: 260.24 kg\n  Factor of Safety: 1.33\n  Max Deflection: 3.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.2366359782518,
      "fos_buckling": 1.334794223526606,
      "fos_yielding": 2.680915967498757,
      "deflection": 0.003862494923895749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.493)"
      },
      "parent_node_id": "node_2300",
      "improvement_over_parent": null
    },
    "node_2302": {
      "node_id": "node_2302",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2301",
      "improvement_over_parent": null
    },
    "node_2303": {
      "node_id": "node_2303",
      "content": "INITIAL DESIGN (Trace 330)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 155.17 kg\n  Factor of Safety: 0.07\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": 155.17144002239664,
      "fos_buckling": 0.0663153922487189,
      "fos_yielding": 0.8310117562868765,
      "deflection": 0.014838503855895127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2304": {
      "node_id": "node_2304",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n\nPerformance:\n  Mass: 169.83 kg\n  Factor of Safety: 0.26\n  Max Deflection: 7.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.82724505255408,
      "fos_buckling": 0.257553606846362,
      "fos_yielding": 1.6931413009404623,
      "deflection": 0.007674307251649996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003251)"
      },
      "parent_node_id": "node_2303",
      "improvement_over_parent": null
    },
    "node_2305": {
      "node_id": "node_2305",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n\nPerformance:\n  Mass: 176.80 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.80138756317163,
      "fos_buckling": 0.6865376110363278,
      "fos_yielding": 1.8456059609064879,
      "deflection": 0.0065201910987069895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002488)"
      },
      "parent_node_id": "node_2304",
      "improvement_over_parent": null
    },
    "node_2306": {
      "node_id": "node_2306",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n\nPerformance:\n  Mass: 216.24 kg\n  Factor of Safety: 0.81\n  Max Deflection: 5.34e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.2363891594995,
      "fos_buckling": 0.8147285807359477,
      "fos_yielding": 2.2531404973606817,
      "deflection": 0.005343653101573703,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2305",
      "improvement_over_parent": null
    },
    "node_2307": {
      "node_id": "node_2307",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 252.66 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.65693054312524,
      "fos_buckling": 0.9252007557809754,
      "fos_yielding": 2.6282027026358734,
      "deflection": 0.004583283126712419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.185)"
      },
      "parent_node_id": "node_2306",
      "improvement_over_parent": null
    },
    "node_2308": {
      "node_id": "node_2308",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.3737497924868,
      "fos_buckling": 1.5400431432467148,
      "fos_yielding": 2.6477278243889186,
      "deflection": 0.003962283687255304,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2307",
      "improvement_over_parent": null
    },
    "node_2309": {
      "node_id": "node_2309",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2308",
      "improvement_over_parent": null
    },
    "node_2310": {
      "node_id": "node_2310",
      "content": "INITIAL DESIGN (Trace 331)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 178.61 kg\n  Factor of Safety: 0.18\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": 178.6095333393043,
      "fos_buckling": 0.17907248429915673,
      "fos_yielding": 0.314905098978413,
      "deflection": 40184966535375.55,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2311": {
      "node_id": "node_2311",
      "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 181.35 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.87e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.35434863445528,
      "fos_buckling": 0.9681513494279781,
      "fos_yielding": 1.6794938612182027,
      "deflection": 1868527021384.751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.647)"
      },
      "parent_node_id": "node_2310",
      "improvement_over_parent": null
    },
    "node_2312": {
      "node_id": "node_2312",
      "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 184.52 kg\n  Factor of Safety: 0.97\n  Max Deflection: 1.87e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.51543437534357,
      "fos_buckling": 0.9681513494279781,
      "fos_yielding": 1.6794938612182027,
      "deflection": 1868527021384.751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.562)"
      },
      "parent_node_id": "node_2311",
      "improvement_over_parent": null
    },
    "node_2313": {
      "node_id": "node_2313",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 190.82 kg\n  Factor of Safety: 0.82\n  Max Deflection: 1.20e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.82092667820368,
      "fos_buckling": 0.8173755277017075,
      "fos_yielding": 1.6794938612182027,
      "deflection": 1196866529574.7246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002562)"
      },
      "parent_node_id": "node_2312",
      "improvement_over_parent": null
    },
    "node_2314": {
      "node_id": "node_2314",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 237.23 kg\n  Factor of Safety: 1.05\n  Max Deflection: 6.87e+11 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.22535162340645,
      "fos_buckling": 1.0526998863726629,
      "fos_yielding": 2.614575085344399,
      "deflection": 686587532626.3787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_2313",
      "improvement_over_parent": null
    },
    "node_2315": {
      "node_id": "node_2315",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n  Mass: 242.12 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.1225908461583,
      "fos_buckling": 0.9513454585785702,
      "fos_yielding": 2.517296046834767,
      "deflection": 0.004897317757217063,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001950)"
      },
      "parent_node_id": "node_2314",
      "improvement_over_parent": null
    },
    "node_2316": {
      "node_id": "node_2316",
      "content": "MODIFICATION: Increase 15 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n\nPerformance:\n  Mass: 248.95 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.9455824017523,
      "fos_buckling": 0.9510340973284942,
      "fos_yielding": 2.5158223071827766,
      "deflection": 0.004814059815348958,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.372)"
      },
      "parent_node_id": "node_2315",
      "improvement_over_parent": null
    },
    "node_2317": {
      "node_id": "node_2317",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0066)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 262.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.89e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 262.6950508679397,
      "fos_buckling": 1.5374873290734947,
      "fos_yielding": 2.6624189124863626,
      "deflection": 0.003886131676305023,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2316",
      "improvement_over_parent": null
    },
    "node_2318": {
      "node_id": "node_2318",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2317",
      "improvement_over_parent": null
    },
    "node_2319": {
      "node_id": "node_2319",
      "content": "INITIAL DESIGN (Trace 332)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 204.79 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.7892291341254,
      "fos_buckling": 0.5949884106711839,
      "fos_yielding": 2.175329634814881,
      "deflection": 0.005313510563509115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2320": {
      "node_id": "node_2320",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 205.94 kg\n  Factor of Safety: 0.63\n  Max Deflection: 5.29e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.9379168950923,
      "fos_buckling": 0.6327664244745186,
      "fos_yielding": 2.232455584006828,
      "deflection": 0.005287789607410554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.203)"
      },
      "parent_node_id": "node_2319",
      "improvement_over_parent": null
    },
    "node_2321": {
      "node_id": "node_2321",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n  Mass: 212.77 kg\n  Factor of Safety: 0.83\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.76604490834504,
      "fos_buckling": 0.8274208082341143,
      "fos_yielding": 2.2831752178376323,
      "deflection": 0.0054283836308189936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002792)"
      },
      "parent_node_id": "node_2320",
      "improvement_over_parent": null
    },
    "node_2322": {
      "node_id": "node_2322",
      "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n  Mass: 214.23 kg\n  Factor of Safety: 0.83\n  Max Deflection: 5.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.22951170783588,
      "fos_buckling": 0.8273863224376323,
      "fos_yielding": 2.279513335618496,
      "deflection": 0.005400154795537616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.546)"
      },
      "parent_node_id": "node_2321",
      "improvement_over_parent": null
    },
    "node_2323": {
      "node_id": "node_2323",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 246.08 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.07916282336313,
      "fos_buckling": 0.9261600914942195,
      "fos_yielding": 2.6140852884756813,
      "deflection": 0.0047096530388326665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2322",
      "improvement_over_parent": null
    },
    "node_2324": {
      "node_id": "node_2324",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 250.80 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7959820727247,
      "fos_buckling": 1.3051368350440835,
      "fos_yielding": 2.6392047460862353,
      "deflection": 0.00405996205691869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2323",
      "improvement_over_parent": null
    },
    "node_2325": {
      "node_id": "node_2325",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 254.25 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.25404949009697,
      "fos_buckling": 1.3175856847530787,
      "fos_yielding": 2.6602261205545275,
      "deflection": 0.003996866905271515,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.546)"
      },
      "parent_node_id": "node_2324",
      "improvement_over_parent": null
    },
    "node_2326": {
      "node_id": "node_2326",
      "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0056)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 258.66 kg\n  Factor of Safety: 1.32\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.65762126866883,
      "fos_buckling": 1.318185432267532,
      "fos_yielding": 2.6612462257857556,
      "deflection": 0.003964286264675849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.471)"
      },
      "parent_node_id": "node_2325",
      "improvement_over_parent": null
    },
    "node_2327": {
      "node_id": "node_2327",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2326",
      "improvement_over_parent": null
    },
    "node_2328": {
      "node_id": "node_2328",
      "content": "INITIAL DESIGN (Trace 333)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 179.91 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.9114550395061,
      "fos_buckling": 1.1186839832083366,
      "fos_yielding": 1.9195183029200658,
      "deflection": 0.005582911270054458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2329": {
      "node_id": "node_2329",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 205.18 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.17983980687978,
      "fos_buckling": 1.2526789351883518,
      "fos_yielding": 2.186069202421448,
      "deflection": 0.004902717788159249,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.151)"
      },
      "parent_node_id": "node_2328",
      "improvement_over_parent": null
    },
    "node_2330": {
      "node_id": "node_2330",
      "content": "MODIFICATION: Increase 14 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 211.01 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.00616329352465,
      "fos_buckling": 1.3060161174240683,
      "fos_yielding": 2.1754917025375087,
      "deflection": 0.004819922190092718,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.639)"
      },
      "parent_node_id": "node_2329",
      "improvement_over_parent": null
    },
    "node_2331": {
      "node_id": "node_2331",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50876486215924,
      "fos_buckling": 1.5406985841872893,
      "fos_yielding": 2.6493024036517236,
      "deflection": 0.0039601135252204395,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_2330",
      "improvement_over_parent": null
    },
    "node_2332": {
      "node_id": "node_2332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2331",
      "improvement_over_parent": null
    },
    "node_2333": {
      "node_id": "node_2333",
      "content": "INITIAL DESIGN (Trace 334)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 182.24 kg\n  Factor of Safety: 0.35\n  Max Deflection: 4.21e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.24033789188672,
      "fos_buckling": 0.34818382856075986,
      "fos_yielding": 2.119196129007686,
      "deflection": 4206419849046.863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2334": {
      "node_id": "node_2334",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 188.53 kg\n  Factor of Safety: 0.22\n  Max Deflection: 4.83e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.53438908024617,
      "fos_buckling": 0.21990557593311147,
      "fos_yielding": 1.3384396604259068,
      "deflection": 4828417434206.233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002557)"
      },
      "parent_node_id": "node_2333",
      "improvement_over_parent": null
    },
    "node_2335": {
      "node_id": "node_2335",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 196.21 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.21361882801853,
      "fos_buckling": 0.7731104889733218,
      "fos_yielding": 2.1885441052847403,
      "deflection": 0.005625166427173881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003334)"
      },
      "parent_node_id": "node_2334",
      "improvement_over_parent": null
    },
    "node_2336": {
      "node_id": "node_2336",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 201.48 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.73e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.47993331729978,
      "fos_buckling": 0.7727622501949537,
      "fos_yielding": 2.1215743682923454,
      "deflection": 0.005729803893904605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)"
      },
      "parent_node_id": "node_2335",
      "improvement_over_parent": null
    },
    "node_2337": {
      "node_id": "node_2337",
      "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 203.00 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.0034521258758,
      "fos_buckling": 0.7727286855254826,
      "fos_yielding": 2.116613160163978,
      "deflection": 0.005687429095189419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.656)"
      },
      "parent_node_id": "node_2336",
      "improvement_over_parent": null
    },
    "node_2338": {
      "node_id": "node_2338",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n\nPerformance:\n  Mass: 206.79 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.7920227103874,
      "fos_buckling": 1.283821647487377,
      "fos_yielding": 2.1323598766401033,
      "deflection": 0.004917072554807653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002342)"
      },
      "parent_node_id": "node_2337",
      "improvement_over_parent": null
    },
    "node_2339": {
      "node_id": "node_2339",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4593032893174,
      "fos_buckling": 1.5404773391261424,
      "fos_yielding": 2.6486843977658756,
      "deflection": 0.003960960682676463,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_2338",
      "improvement_over_parent": null
    },
    "node_2340": {
      "node_id": "node_2340",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2339",
      "improvement_over_parent": null
    },
    "node_2341": {
      "node_id": "node_2341",
      "content": "INITIAL DESIGN (Trace 335)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0018)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0012)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0024)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 112.34 kg\n  Factor of Safety: 0.74\n  Max Deflection: 9.00e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.34032162610902,
      "fos_buckling": 0.7448142744410177,
      "fos_yielding": 1.1634169359309587,
      "deflection": 0.009001843419814404,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2342": {
      "node_id": "node_2342",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 144.69 kg\n  Factor of Safety: 0.94\n  Max Deflection: 7.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.68803771347515,
      "fos_buckling": 0.9383310678638885,
      "fos_yielding": 1.4961933551211182,
      "deflection": 0.007002438365786105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_2341",
      "improvement_over_parent": null
    },
    "node_2343": {
      "node_id": "node_2343",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 181.96 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.95614139997357,
      "fos_buckling": 1.1497564854854225,
      "fos_yielding": 1.8783664420082757,
      "deflection": 0.00558022943206191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.274)"
      },
      "parent_node_id": "node_2342",
      "improvement_over_parent": null
    },
    "node_2344": {
      "node_id": "node_2344",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 205.33 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.33083446989227,
      "fos_buckling": 1.2760888921981142,
      "fos_yielding": 2.1174021639418408,
      "deflection": 0.004951664021108201,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2343",
      "improvement_over_parent": null
    },
    "node_2345": {
      "node_id": "node_2345",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51189887218663,
      "fos_buckling": 1.5407378157504874,
      "fos_yielding": 2.6491802390507386,
      "deflection": 0.0039601772757820895,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2344",
      "improvement_over_parent": null
    },
    "node_2346": {
      "node_id": "node_2346",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2345",
      "improvement_over_parent": null
    },
    "node_2347": {
      "node_id": "node_2347",
      "content": "INITIAL DESIGN (Trace 336)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 200.76 kg\n  Factor of Safety: 0.63\n  Max Deflection: 5.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.75651778687,
      "fos_buckling": 0.6260240345548738,
      "fos_yielding": 2.160733155188986,
      "deflection": 0.005869016247331535,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2348": {
      "node_id": "node_2348",
      "content": "MODIFICATION: Increase 16 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 202.96 kg\n  Factor of Safety: 0.63\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.96128318429822,
      "fos_buckling": 0.62582727972235,
      "fos_yielding": 2.157473039530916,
      "deflection": 0.0058278659501783585,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.189)"
      },
      "parent_node_id": "node_2347",
      "improvement_over_parent": null
    },
    "node_2349": {
      "node_id": "node_2349",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 248.13 kg\n  Factor of Safety: 0.75\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.13300487088765,
      "fos_buckling": 0.7470206568736167,
      "fos_yielding": 2.631293552000347,
      "deflection": 0.004777424043639829,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2348",
      "improvement_over_parent": null
    },
    "node_2350": {
      "node_id": "node_2350",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 252.85 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.84982412024922,
      "fos_buckling": 1.3518398158103504,
      "fos_yielding": 2.6523759894770382,
      "deflection": 0.004020021101449319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2349",
      "improvement_over_parent": null
    },
    "node_2351": {
      "node_id": "node_2351",
      "content": "MODIFICATION: Increase 20 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0039)]\n\nPerformance:\n  Mass: 254.17 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.1740995148605,
      "fos_buckling": 1.3761723248060278,
      "fos_yielding": 2.652773670936642,
      "deflection": 0.004003524903097378,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.319)"
      },
      "parent_node_id": "node_2350",
      "improvement_over_parent": null
    },
    "node_2352": {
      "node_id": "node_2352",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 337)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 203.22 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.22087317650804,
      "fos_buckling": 0.22227456609288468,
      "fos_yielding": 1.3177389427568724,
      "deflection": 0.009011973885125056,
      "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 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 235.17 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.17081555024555,
      "fos_buckling": 1.185773989713142,
      "fos_yielding": 1.8650116765047189,
      "deflection": 0.004354598507646124,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2353",
      "improvement_over_parent": null
    },
    "node_2355": {
      "node_id": "node_2355",
      "content": "MODIFICATION: Increase 1 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 238.43 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.42724956703762,
      "fos_buckling": 1.1854140393047283,
      "fos_yielding": 2.7212156545752952,
      "deflection": 0.004057781732962925,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.504)"
      },
      "parent_node_id": "node_2354",
      "improvement_over_parent": null
    },
    "node_2356": {
      "node_id": "node_2356",
      "content": "MODIFICATION: Increase 18 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 247.22 kg\n  Factor of Safety: 1.38\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.22136288580057,
      "fos_buckling": 1.375880202024794,
      "fos_yielding": 2.7205312443436975,
      "deflection": 0.0039264416576363145,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.639)"
      },
      "parent_node_id": "node_2355",
      "improvement_over_parent": null
    },
    "node_2357": {
      "node_id": "node_2357",
      "content": "MODIFICATION: Increase 19 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0084)]\n\nPerformance:\n  Mass: 259.04 kg\n  Factor of Safety: 1.38\n  Max Deflection: 3.83e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.04091793148496,
      "fos_buckling": 1.3754079969485238,
      "fos_yielding": 2.7196119183528653,
      "deflection": 0.0038339064479561416,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.425)"
      },
      "parent_node_id": "node_2356",
      "improvement_over_parent": null
    },
    "node_2358": {
      "node_id": "node_2358",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0055)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0084)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 265.60 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.90e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 265.59970611963456,
      "fos_buckling": 1.502142932046081,
      "fos_yielding": 2.6599201545925877,
      "deflection": 0.003896299263679977,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2357",
      "improvement_over_parent": null
    },
    "node_2359": {
      "node_id": "node_2359",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 338)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 160.62 kg\n  Factor of Safety: 0.32\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": 160.61602769468843,
      "fos_buckling": 0.31863056174437476,
      "fos_yielding": 0.9784053465975864,
      "deflection": 0.01713725712904194,
      "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 9 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 161.66 kg\n  Factor of Safety: 0.32\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": 161.66089015192733,
      "fos_buckling": 0.31859230330623284,
      "fos_yielding": 0.978288125081176,
      "deflection": 0.016791489052253025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.200)"
      },
      "parent_node_id": "node_2360",
      "improvement_over_parent": null
    },
    "node_2362": {
      "node_id": "node_2362",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 202.38 kg\n  Factor of Safety: 0.39\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": 202.38369399468507,
      "fos_buckling": 0.3867000139187829,
      "fos_yielding": 1.2212126660289153,
      "deflection": 0.013450871605149621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2361",
      "improvement_over_parent": null
    },
    "node_2363": {
      "node_id": "node_2363",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 209.51 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.51291213482745,
      "fos_buckling": 1.2900316393107523,
      "fos_yielding": 2.1963462781732153,
      "deflection": 0.004820860430722001,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003264)"
      },
      "parent_node_id": "node_2362",
      "improvement_over_parent": null
    },
    "node_2364": {
      "node_id": "node_2364",
      "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0040)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 212.22 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.78e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.22455617817832,
      "fos_buckling": 1.292232129559345,
      "fos_yielding": 2.184569558395417,
      "deflection": 0.004779335353503804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.263)"
      },
      "parent_node_id": "node_2363",
      "improvement_over_parent": null
    },
    "node_2365": {
      "node_id": "node_2365",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0049)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.03 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.03418551917196,
      "fos_buckling": 1.5152140069993607,
      "fos_yielding": 2.6408013569478133,
      "deflection": 0.003956243415027745,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2364",
      "improvement_over_parent": null
    },
    "node_2366": {
      "node_id": "node_2366",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2365",
      "improvement_over_parent": null
    },
    "node_2367": {
      "node_id": "node_2367",
      "content": "INITIAL DESIGN (Trace 339)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 155.81 kg\n  Factor of Safety: 0.64\n  Max Deflection: 8.30e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 155.81272685921442,
      "fos_buckling": 0.6411080469780371,
      "fos_yielding": 1.3547892011687503,
      "deflection": 0.008302759347587155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2368": {
      "node_id": "node_2368",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n\nPerformance:\n  Mass: 158.86 kg\n  Factor of Safety: 0.80\n  Max Deflection: 7.36e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.86044533531862,
      "fos_buckling": 0.8023728350504197,
      "fos_yielding": 1.2616788695403116,
      "deflection": 0.0073612670945398745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001857)"
      },
      "parent_node_id": "node_2367",
      "improvement_over_parent": null
    },
    "node_2369": {
      "node_id": "node_2369",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 162.09 kg\n  Factor of Safety: 1.03\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.09225504721644,
      "fos_buckling": 1.0347927314542875,
      "fos_yielding": 1.27227430197479,
      "deflection": 0.006552789764305608,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001912)"
      },
      "parent_node_id": "node_2368",
      "improvement_over_parent": null
    },
    "node_2370": {
      "node_id": "node_2370",
      "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 164.70 kg\n  Factor of Safety: 1.05\n  Max Deflection: 6.51e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.70228718342423,
      "fos_buckling": 1.0459489306199319,
      "fos_yielding": 1.2682530097235032,
      "deflection": 0.006511817280715008,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.241)"
      },
      "parent_node_id": "node_2369",
      "improvement_over_parent": null
    },
    "node_2371": {
      "node_id": "node_2371",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 202.29 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.29041137760544,
      "fos_buckling": 1.2526336851932576,
      "fos_yielding": 1.5624145786994372,
      "deflection": 0.005308173428021533,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_2370",
      "improvement_over_parent": null
    },
    "node_2372": {
      "node_id": "node_2372",
      "content": "MODIFICATION: Increase 2 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 204.86 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.97e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.86235918933454,
      "fos_buckling": 1.2405567526594534,
      "fos_yielding": 2.111211646882551,
      "deflection": 0.0049716029765529334,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.597)"
      },
      "parent_node_id": "node_2371",
      "improvement_over_parent": null
    },
    "node_2373": {
      "node_id": "node_2373",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0055)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.99 kg\n  Factor of Safety: 1.51\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.9935186221108,
      "fos_buckling": 1.506688316401769,
      "fos_yielding": 2.652843460879889,
      "deflection": 0.003959067107395578,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_2372",
      "improvement_over_parent": null
    },
    "node_2374": {
      "node_id": "node_2374",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2373",
      "improvement_over_parent": null
    },
    "node_2375": {
      "node_id": "node_2375",
      "content": "INITIAL DESIGN (Trace 340)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 149.20 kg\n  Factor of Safety: 0.80\n  Max Deflection: 7.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.19509921699523,
      "fos_buckling": 0.7988103241418174,
      "fos_yielding": 1.5660300945002161,
      "deflection": 0.007136497309616781,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2376": {
      "node_id": "node_2376",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 169.92 kg\n  Factor of Safety: 0.90\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.92256056377244,
      "fos_buckling": 0.8950768177694338,
      "fos_yielding": 1.781657885041242,
      "deflection": 0.006273480617907081,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2375",
      "improvement_over_parent": null
    },
    "node_2377": {
      "node_id": "node_2377",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 209.12 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.12254506437765,
      "fos_buckling": 1.067432740037225,
      "fos_yielding": 2.1881379016206846,
      "deflection": 0.005109021632102053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2376",
      "improvement_over_parent": null
    },
    "node_2378": {
      "node_id": "node_2378",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n  Mass: 226.31 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.3066421229195,
      "fos_buckling": 1.1528133062783297,
      "fos_yielding": 2.381688031753676,
      "deflection": 0.004494262260978244,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004070)"
      },
      "parent_node_id": "node_2377",
      "improvement_over_parent": null
    },
    "node_2379": {
      "node_id": "node_2379",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n  Mass: 227.40 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.43e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.40178454343217,
      "fos_buckling": 1.1628721015027073,
      "fos_yielding": 2.379381218510833,
      "deflection": 0.004426481728556087,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.178)"
      },
      "parent_node_id": "node_2378",
      "improvement_over_parent": null
    },
    "node_2380": {
      "node_id": "node_2380",
      "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n  Mass: 228.89 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.88609832821905,
      "fos_buckling": 1.1619190064813087,
      "fos_yielding": 2.386232665385533,
      "deflection": 0.004440463646681539,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.289)"
      },
      "parent_node_id": "node_2379",
      "improvement_over_parent": null
    },
    "node_2381": {
      "node_id": "node_2381",
      "content": "MODIFICATION: Increase 12 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n  Mass: 231.81 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.813755824004,
      "fos_buckling": 1.413380525075214,
      "fos_yielding": 2.3874772311067787,
      "deflection": 0.00439272747489207,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.468)"
      },
      "parent_node_id": "node_2380",
      "improvement_over_parent": null
    },
    "node_2382": {
      "node_id": "node_2382",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.34 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.34026442076663,
      "fos_buckling": 1.5398913682120248,
      "fos_yielding": 2.6472931329418854,
      "deflection": 0.003962819914755052,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.121)"
      },
      "parent_node_id": "node_2381",
      "improvement_over_parent": null
    },
    "node_2383": {
      "node_id": "node_2383",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 341)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 189.91 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.91482428660308,
      "fos_buckling": 0.9516831980176319,
      "fos_yielding": 1.9121706737521669,
      "deflection": 0.005833681014859248,
      "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 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 190.97 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.97134505506878,
      "fos_buckling": 0.951667280779729,
      "fos_yielding": 1.912138692021704,
      "deflection": 0.005798554664130405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.427)"
      },
      "parent_node_id": "node_2384",
      "improvement_over_parent": null
    },
    "node_2386": {
      "node_id": "node_2386",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.14 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.57e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.1398388732781,
      "fos_buckling": 1.1632463111154072,
      "fos_yielding": 2.427469087472971,
      "deflection": 0.004569177856464324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2385",
      "improvement_over_parent": null
    },
    "node_2387": {
      "node_id": "node_2387",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 248.14 kg\n  Factor of Safety: 1.48\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.14306548194443,
      "fos_buckling": 1.4803719793202736,
      "fos_yielding": 2.6467231949771763,
      "deflection": 0.004003792398323136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2386",
      "improvement_over_parent": null
    },
    "node_2388": {
      "node_id": "node_2388",
      "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 250.61 kg\n  Factor of Safety: 1.47\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.60845610869293,
      "fos_buckling": 1.470555488711291,
      "fos_yielding": 2.6473931456704225,
      "deflection": 0.003981137362691979,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.258)"
      },
      "parent_node_id": "node_2387",
      "improvement_over_parent": null
    },
    "node_2389": {
      "node_id": "node_2389",
      "content": "MODIFICATION: Increase 9 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 254.06 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.06448221547518,
      "fos_buckling": 1.4822509374444817,
      "fos_yielding": 2.658853462176286,
      "deflection": 0.003947860704608611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.397)"
      },
      "parent_node_id": "node_2388",
      "improvement_over_parent": null
    },
    "node_2390": {
      "node_id": "node_2390",
      "content": "MODIFICATION: Increase 17 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0048)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0074)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 263.96 kg\n  Factor of Safety: 1.46\n  Max Deflection: 3.86e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.9646906030922,
      "fos_buckling": 1.4628029901363264,
      "fos_yielding": 2.6621866960024594,
      "deflection": 0.0038577237578713867,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.550)"
      },
      "parent_node_id": "node_2389",
      "improvement_over_parent": null
    },
    "node_2391": {
      "node_id": "node_2391",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2390",
      "improvement_over_parent": null
    },
    "node_2392": {
      "node_id": "node_2392",
      "content": "INITIAL DESIGN (Trace 342)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 165.08 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.08445987938666,
      "fos_buckling": 0.8307847050534803,
      "fos_yielding": 1.6413493506562131,
      "deflection": 0.006135736819185119,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2393": {
      "node_id": "node_2393",
      "content": "MODIFICATION: Increase 11 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 166.80 kg\n  Factor of Safety: 0.86\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.79656777469307,
      "fos_buckling": 0.8641443812624602,
      "fos_yielding": 1.640352900186467,
      "deflection": 0.006114612195903821,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.645)"
      },
      "parent_node_id": "node_2392",
      "improvement_over_parent": null
    },
    "node_2394": {
      "node_id": "node_2394",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 199.29 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.29237684817016,
      "fos_buckling": 1.0170250115424844,
      "fos_yielding": 1.96290051234443,
      "deflection": 0.005126222156984361,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.209)"
      },
      "parent_node_id": "node_2393",
      "improvement_over_parent": null
    },
    "node_2395": {
      "node_id": "node_2395",
      "content": "MODIFICATION: Increase 20 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 204.88 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.88320774959655,
      "fos_buckling": 0.9843764122707737,
      "fos_yielding": 1.9636918328505586,
      "deflection": 0.0050104864526712475,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.513)"
      },
      "parent_node_id": "node_2394",
      "improvement_over_parent": null
    },
    "node_2396": {
      "node_id": "node_2396",
      "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 206.74 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.73810828748475,
      "fos_buckling": 1.0473277483825836,
      "fos_yielding": 2.1423546922358865,
      "deflection": 0.004937660449365915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.403)"
      },
      "parent_node_id": "node_2395",
      "improvement_over_parent": null
    },
    "node_2397": {
      "node_id": "node_2397",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.86 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.8558530965515,
      "fos_buckling": 1.264689955310025,
      "fos_yielding": 2.625018091460217,
      "deflection": 0.004031320580165776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_2396",
      "improvement_over_parent": null
    },
    "node_2398": {
      "node_id": "node_2398",
      "content": "MODIFICATION: Increase 10 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.43322657507366,
      "fos_buckling": 1.5403266450613526,
      "fos_yielding": 2.6483643252254905,
      "deflection": 0.003961349910865332,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.613)"
      },
      "parent_node_id": "node_2397",
      "improvement_over_parent": null
    },
    "node_2399": {
      "node_id": "node_2399",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2398",
      "improvement_over_parent": null
    },
    "node_2400": {
      "node_id": "node_2400",
      "content": "INITIAL DESIGN (Trace 343)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.72 kg\n  Factor of Safety: 0.61\n  Max Deflection: 1.48e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.71718431869598,
      "fos_buckling": 0.6142561893378831,
      "fos_yielding": 1.8282638945888248,
      "deflection": 1483984643669.508,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2401": {
      "node_id": "node_2401",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.03 kg\n  Factor of Safety: 0.55\n  Max Deflection: 4.97e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.03066577482227,
      "fos_buckling": 0.5533477787774672,
      "fos_yielding": 1.2596203959136516,
      "deflection": 4968929403722.335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.221)"
      },
      "parent_node_id": "node_2400",
      "improvement_over_parent": null
    },
    "node_2402": {
      "node_id": "node_2402",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 233.67 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.66752930247583,
      "fos_buckling": 0.9125267115270796,
      "fos_yielding": 2.388720739785028,
      "deflection": 0.004440072126527992,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_2401",
      "improvement_over_parent": null
    },
    "node_2403": {
      "node_id": "node_2403",
      "content": "MODIFICATION: Increase 16 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 242.70 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.24e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 242.69884835149992,
      "fos_buckling": 1.204021988891477,
      "fos_yielding": 2.3868689347799275,
      "deflection": 0.0042366815172921665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.499)"
      },
      "parent_node_id": "node_2402",
      "improvement_over_parent": null
    },
    "node_2404": {
      "node_id": "node_2404",
      "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 244.58 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.25e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.5848465041285,
      "fos_buckling": 1.2038912300365756,
      "fos_yielding": 2.386611355814137,
      "deflection": 0.0042498311625878945,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.272)"
      },
      "parent_node_id": "node_2403",
      "improvement_over_parent": null
    },
    "node_2405": {
      "node_id": "node_2405",
      "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 245.74 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.22e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.73943534309603,
      "fos_buckling": 1.2039712759026522,
      "fos_yielding": 2.3864536960301406,
      "deflection": 0.004217139108009977,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.195)"
      },
      "parent_node_id": "node_2404",
      "improvement_over_parent": null
    },
    "node_2406": {
      "node_id": "node_2406",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0041)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0036)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0072)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 263.78 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.7819715458437,
      "fos_buckling": 1.4549275665364314,
      "fos_yielding": 2.668865601893074,
      "deflection": 0.003916584226521549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2405",
      "improvement_over_parent": null
    },
    "node_2407": {
      "node_id": "node_2407",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2406",
      "improvement_over_parent": null
    },
    "node_2408": {
      "node_id": "node_2408",
      "content": "INITIAL DESIGN (Trace 344)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 196.94 kg\n  Factor of Safety: 0.62\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.93767113153694,
      "fos_buckling": 0.6166969250172003,
      "fos_yielding": 2.096987255486667,
      "deflection": 0.004797946679962797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2409": {
      "node_id": "node_2409",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.26 kg\n  Factor of Safety: 0.74\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.26043977009505,
      "fos_buckling": 0.7351856046089597,
      "fos_yielding": 2.5638547855104346,
      "deflection": 0.003927165407826219,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2408",
      "improvement_over_parent": null
    },
    "node_2410": {
      "node_id": "node_2410",
      "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.02 kg\n  Factor of Safety: 0.68\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.02332386096393,
      "fos_buckling": 0.6844327835139841,
      "fos_yielding": 2.5529506478112918,
      "deflection": 0.0038922715798362013,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.597)"
      },
      "parent_node_id": "node_2409",
      "improvement_over_parent": null
    },
    "node_2411": {
      "node_id": "node_2411",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 250.86 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.8620868789434,
      "fos_buckling": 1.3254180841384495,
      "fos_yielding": 2.635445713888167,
      "deflection": 0.004035719858960229,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_2410",
      "improvement_over_parent": null
    },
    "node_2412": {
      "node_id": "node_2412",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5046871077627,
      "fos_buckling": 1.5406821333285405,
      "fos_yielding": 2.6491316191886214,
      "deflection": 0.003960306420062604,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2411",
      "improvement_over_parent": null
    },
    "node_2413": {
      "node_id": "node_2413",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2412",
      "improvement_over_parent": null
    },
    "node_2414": {
      "node_id": "node_2414",
      "content": "INITIAL DESIGN (Trace 345)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n\nPerformance:\n  Mass: 107.36 kg\n  Factor of Safety: 0.45\n  Max Deflection: 9.79e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 107.36006906398863,
      "fos_buckling": 0.451167749155683,
      "fos_yielding": 1.0776015418673266,
      "deflection": 0.009785421787749856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2415": {
      "node_id": "node_2415",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0016)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0021)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n\nPerformance:\n  Mass: 115.45 kg\n  Factor of Safety: 0.76\n  Max Deflection: 8.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.44724041360179,
      "fos_buckling": 0.763809952911394,
      "fos_yielding": 1.1954302379571706,
      "deflection": 0.008761134973959165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.001891)"
      },
      "parent_node_id": "node_2414",
      "improvement_over_parent": null
    },
    "node_2416": {
      "node_id": "node_2416",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n  Mass: 147.77 kg\n  Factor of Safety: 0.96\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.77194881222496,
      "fos_buckling": 0.9562991060147018,
      "fos_yielding": 1.5278776664280542,
      "deflection": 0.0068575031530879816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2415",
      "improvement_over_parent": null
    },
    "node_2417": {
      "node_id": "node_2417",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 167.60 kg\n  Factor of Safety: 1.07\n  Max Deflection: 6.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.60160117688,
      "fos_buckling": 1.0697854268493834,
      "fos_yielding": 1.7313309516725415,
      "deflection": 0.006053109137799077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2416",
      "improvement_over_parent": null
    },
    "node_2418": {
      "node_id": "node_2418",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 201.52 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.5202775364024,
      "fos_buckling": 1.2558295132690107,
      "fos_yielding": 2.078482910135462,
      "deflection": 0.005044167904879271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2417",
      "improvement_over_parent": null
    },
    "node_2419": {
      "node_id": "node_2419",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5130257934352,
      "fos_buckling": 1.540750308344654,
      "fos_yielding": 2.6492087621901543,
      "deflection": 0.003960146861754254,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2418",
      "improvement_over_parent": null
    },
    "node_2420": {
      "node_id": "node_2420",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2419",
      "improvement_over_parent": null
    },
    "node_2421": {
      "node_id": "node_2421",
      "content": "INITIAL DESIGN (Trace 346)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 198.43 kg\n  Factor of Safety: 0.84\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.4295932803577,
      "fos_buckling": 0.8395869824745585,
      "fos_yielding": 1.8872830658851552,
      "deflection": 0.005207831304799178,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2422": {
      "node_id": "node_2422",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 219.99 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.70e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.98911875625197,
      "fos_buckling": 0.91391612636317,
      "fos_yielding": 2.097424992356243,
      "deflection": 0.004701639924564175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.119)"
      },
      "parent_node_id": "node_2421",
      "improvement_over_parent": null
    },
    "node_2423": {
      "node_id": "node_2423",
      "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 222.97 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.97330016758332,
      "fos_buckling": 0.9138375158574928,
      "fos_yielding": 2.3931891051874477,
      "deflection": 0.004535229640055869,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.608)"
      },
      "parent_node_id": "node_2422",
      "improvement_over_parent": null
    },
    "node_2424": {
      "node_id": "node_2424",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 224.64 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.64419018511853,
      "fos_buckling": 0.9137495013949043,
      "fos_yielding": 2.3929598848164,
      "deflection": 0.004489434600075904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.297)"
      },
      "parent_node_id": "node_2423",
      "improvement_over_parent": null
    },
    "node_2425": {
      "node_id": "node_2425",
      "content": "MODIFICATION: Increase 17 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 229.73 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.72514239075784,
      "fos_buckling": 0.9138833281854005,
      "fos_yielding": 2.3926114547518518,
      "deflection": 0.004409492690957489,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.431)"
      },
      "parent_node_id": "node_2424",
      "improvement_over_parent": null
    },
    "node_2426": {
      "node_id": "node_2426",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 239.70 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.42e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.6968957894535,
      "fos_buckling": 0.9128338001750079,
      "fos_yielding": 2.3898796940454465,
      "deflection": 0.004415031060873899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_2425",
      "improvement_over_parent": null
    },
    "node_2427": {
      "node_id": "node_2427",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.74 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.73943199220116,
      "fos_buckling": 1.5418703278640677,
      "fos_yielding": 2.651564851859389,
      "deflection": 0.0039567188330145815,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2426",
      "improvement_over_parent": null
    },
    "node_2428": {
      "node_id": "node_2428",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 347)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0015)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0016)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0011)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0015)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0012)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0014)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0011)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0014)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0018)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0016)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0018)]\n\nPerformance:\n  Mass: 85.69 kg\n  Factor of Safety: 0.40\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": 85.6902107405713,
      "fos_buckling": 0.39768403382526224,
      "fos_yielding": 0.9413964641056185,
      "deflection": 0.012538067406374087,
      "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 all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 111.32 kg\n  Factor of Safety: 0.51\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.31567570586435,
      "fos_buckling": 0.506426999582525,
      "fos_yielding": 1.2212173667510124,
      "deflection": 0.009665263468913221,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.312)"
      },
      "parent_node_id": "node_2429",
      "improvement_over_parent": null
    },
    "node_2431": {
      "node_id": "node_2431",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n\nPerformance:\n  Mass: 121.02 kg\n  Factor of Safety: 0.51\n  Max Deflection: 8.71e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.02233323829915,
      "fos_buckling": 0.5062850278940874,
      "fos_yielding": 1.2208760139478265,
      "deflection": 0.008709426064642763,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002218)"
      },
      "parent_node_id": "node_2430",
      "improvement_over_parent": null
    },
    "node_2432": {
      "node_id": "node_2432",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n\nPerformance:\n  Mass: 130.20 kg\n  Factor of Safety: 0.77\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 130.19525799360855,
      "fos_buckling": 0.7700994593365047,
      "fos_yielding": 1.3557932134684378,
      "deflection": 0.007870877523333744,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002156)"
      },
      "parent_node_id": "node_2431",
      "improvement_over_parent": null
    },
    "node_2433": {
      "node_id": "node_2433",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 169.43 kg\n  Factor of Safety: 0.98\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.42863780790609,
      "fos_buckling": 0.9803516857359347,
      "fos_yielding": 1.761050027249176,
      "deflection": 0.006060902721825645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_2432",
      "improvement_over_parent": null
    },
    "node_2434": {
      "node_id": "node_2434",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 216.09 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.08733368526268,
      "fos_buckling": 1.217297026432114,
      "fos_yielding": 2.241020958244274,
      "deflection": 0.004763910925527531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2433",
      "improvement_over_parent": null
    },
    "node_2435": {
      "node_id": "node_2435",
      "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 217.22 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.21696427099567,
      "fos_buckling": 1.3384495411404853,
      "fos_yielding": 2.2385511228295623,
      "deflection": 0.004683970436187069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.198)"
      },
      "parent_node_id": "node_2434",
      "improvement_over_parent": null
    },
    "node_2436": {
      "node_id": "node_2436",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.36689106370693,
      "fos_buckling": 1.540005488881246,
      "fos_yielding": 2.6474668607524445,
      "deflection": 0.003962416517256917,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2435",
      "improvement_over_parent": null
    },
    "node_2437": {
      "node_id": "node_2437",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2436",
      "improvement_over_parent": null
    },
    "node_2438": {
      "node_id": "node_2438",
      "content": "INITIAL DESIGN (Trace 348)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 162.52 kg\n  Factor of Safety: 0.27\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": 162.5155867328809,
      "fos_buckling": 0.2694248383982373,
      "fos_yielding": 0.437077855379766,
      "deflection": 0.03506529285093474,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2439": {
      "node_id": "node_2439",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 210.86 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.71e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.86234141344292,
      "fos_buckling": 0.33628169440056305,
      "fos_yielding": 0.5690255728976834,
      "deflection": 0.027083184873610444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2438",
      "improvement_over_parent": null
    },
    "node_2440": {
      "node_id": "node_2440",
      "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 212.69 kg\n  Factor of Safety: 0.34\n  Max Deflection: 2.53e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.69308098446274,
      "fos_buckling": 0.33622112473530963,
      "fos_yielding": 0.8167317785381292,
      "deflection": 0.02526083525975861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.473)"
      },
      "parent_node_id": "node_2439",
      "improvement_over_parent": null
    },
    "node_2441": {
      "node_id": "node_2441",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n  Mass: 221.75 kg\n  Factor of Safety: 0.42\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": 221.74949463371715,
      "fos_buckling": 0.418831210808105,
      "fos_yielding": 0.815887095083842,
      "deflection": 0.014718805677467809,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003295)"
      },
      "parent_node_id": "node_2440",
      "improvement_over_parent": null
    },
    "node_2442": {
      "node_id": "node_2442",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n\nPerformance:\n  Mass: 229.59 kg\n  Factor of Safety: 0.86\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.59373529975494,
      "fos_buckling": 0.8561269574559035,
      "fos_yielding": 2.3908508767562955,
      "deflection": 0.005036697398324793,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003620)"
      },
      "parent_node_id": "node_2441",
      "improvement_over_parent": null
    },
    "node_2443": {
      "node_id": "node_2443",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n\nPerformance:\n  Mass: 233.88 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.35e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.87775203469806,
      "fos_buckling": 1.423831132218055,
      "fos_yielding": 2.4086223681291723,
      "deflection": 0.004354421112170931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002675)"
      },
      "parent_node_id": "node_2442",
      "improvement_over_parent": null
    },
    "node_2444": {
      "node_id": "node_2444",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4997149479336,
      "fos_buckling": 1.5406714620165203,
      "fos_yielding": 2.64903908465958,
      "deflection": 0.003960350222064936,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_2443",
      "improvement_over_parent": null
    },
    "node_2445": {
      "node_id": "node_2445",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2444",
      "improvement_over_parent": null
    },
    "node_2446": {
      "node_id": "node_2446",
      "content": "INITIAL DESIGN (Trace 349)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 201.24 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.23639383924814,
      "fos_buckling": 0.3916031965761046,
      "fos_yielding": 2.0291964662331514,
      "deflection": 0.005501008174303136,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2447": {
      "node_id": "node_2447",
      "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 201.94 kg\n  Factor of Safety: 0.39\n  Max Deflection: 5.48e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.94082468646423,
      "fos_buckling": 0.39453145273750057,
      "fos_yielding": 2.030476843703256,
      "deflection": 0.005476761218206666,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.241)"
      },
      "parent_node_id": "node_2446",
      "improvement_over_parent": null
    },
    "node_2448": {
      "node_id": "node_2448",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.55 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.55025037404252,
      "fos_buckling": 0.4690909785310069,
      "fos_yielding": 2.4843353100263266,
      "deflection": 0.004477935321815564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2447",
      "improvement_over_parent": null
    },
    "node_2449": {
      "node_id": "node_2449",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5220037727382,
      "fos_buckling": 1.5407811855787144,
      "fos_yielding": 2.64926939582538,
      "deflection": 0.0039600264700344985,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_2448",
      "improvement_over_parent": null
    },
    "node_2450": {
      "node_id": "node_2450",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2449",
      "improvement_over_parent": null
    },
    "node_2451": {
      "node_id": "node_2451",
      "content": "INITIAL DESIGN (Trace 350)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 173.09 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.78e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.08882797452173,
      "fos_buckling": 1.0310015542671052,
      "fos_yielding": 1.8147910476102767,
      "deflection": 0.005784460882299562,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2452": {
      "node_id": "node_2452",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 206.58 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.58408996912067,
      "fos_buckling": 1.2249791246306116,
      "fos_yielding": 2.162283761917296,
      "deflection": 0.004856698665091272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2451",
      "improvement_over_parent": null
    },
    "node_2453": {
      "node_id": "node_2453",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.16 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.15676698530265,
      "fos_buckling": 1.5025956514488124,
      "fos_yielding": 2.6640626493537987,
      "deflection": 0.00394408407208312,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2452",
      "improvement_over_parent": null
    },
    "node_2454": {
      "node_id": "node_2454",
      "content": "MODIFICATION: Increase 16 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5477651848101,
      "fos_buckling": 1.5409192693969116,
      "fos_yielding": 2.64957490052769,
      "deflection": 0.0039595932382578795,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.629)"
      },
      "parent_node_id": "node_2453",
      "improvement_over_parent": null
    },
    "node_2455": {
      "node_id": "node_2455",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2454",
      "improvement_over_parent": null
    },
    "node_2456": {
      "node_id": "node_2456",
      "content": "INITIAL DESIGN (Trace 351)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.30 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.29623386622674,
      "fos_buckling": 1.3454356845236453,
      "fos_yielding": 2.338619676933566,
      "deflection": 0.004114607616327371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2457": {
      "node_id": "node_2457",
      "content": "MODIFICATION: Increase 14 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.03 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.03233148481385,
      "fos_buckling": 1.2547713353285794,
      "fos_yielding": 2.34483153125499,
      "deflection": 0.004078499282838673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.362)"
      },
      "parent_node_id": "node_2456",
      "improvement_over_parent": null
    },
    "node_2458": {
      "node_id": "node_2458",
      "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.79 kg\n  Factor of Safety: 1.27\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.7945185555968,
      "fos_buckling": 1.2653471811712875,
      "fos_yielding": 2.6548738201617827,
      "deflection": 0.003989293948415757,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.248)"
      },
      "parent_node_id": "node_2457",
      "improvement_over_parent": null
    },
    "node_2459": {
      "node_id": "node_2459",
      "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53474151596816,
      "fos_buckling": 1.5408435155199764,
      "fos_yielding": 2.6493673161770617,
      "deflection": 0.003959862323986438,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.585)"
      },
      "parent_node_id": "node_2458",
      "improvement_over_parent": null
    },
    "node_2460": {
      "node_id": "node_2460",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2459",
      "improvement_over_parent": null
    },
    "node_2461": {
      "node_id": "node_2461",
      "content": "INITIAL DESIGN (Trace 352)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n\nPerformance:\n  Mass: 131.40 kg\n  Factor of Safety: 0.41\n  Max Deflection: 9.10e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.4008838269631,
      "fos_buckling": 0.40792984956584794,
      "fos_yielding": 1.3835889591872435,
      "deflection": 0.009095467043409335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2462": {
      "node_id": "node_2462",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 140.63 kg\n  Factor of Safety: 0.81\n  Max Deflection: 7.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.62606682891806,
      "fos_buckling": 0.8079709818968769,
      "fos_yielding": 1.4820393437690014,
      "deflection": 0.007180843589550632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.001985)"
      },
      "parent_node_id": "node_2461",
      "improvement_over_parent": null
    },
    "node_2463": {
      "node_id": "node_2463",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 167.99 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.99466767258235,
      "fos_buckling": 0.9509515614923567,
      "fos_yielding": 1.7679603959637604,
      "deflection": 0.0060206735568727205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_2462",
      "improvement_over_parent": null
    },
    "node_2464": {
      "node_id": "node_2464",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 212.44 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.4419309627404,
      "fos_buckling": 1.173301220905089,
      "fos_yielding": 2.2305462960431757,
      "deflection": 0.0047734646915401635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.285)"
      },
      "parent_node_id": "node_2463",
      "improvement_over_parent": null
    },
    "node_2465": {
      "node_id": "node_2465",
      "content": "MODIFICATION: Increase 20 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 216.28 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.70e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.27598166173757,
      "fos_buckling": 1.3335777247442255,
      "fos_yielding": 2.2291380089001955,
      "deflection": 0.0047040548905852835,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.295)"
      },
      "parent_node_id": "node_2464",
      "improvement_over_parent": null
    },
    "node_2466": {
      "node_id": "node_2466",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.24 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.24018045307236,
      "fos_buckling": 1.5394129134080894,
      "fos_yielding": 2.64639855043631,
      "deflection": 0.003964306700698923,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.208)"
      },
      "parent_node_id": "node_2465",
      "improvement_over_parent": null
    },
    "node_2467": {
      "node_id": "node_2467",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2466",
      "improvement_over_parent": null
    },
    "node_2468": {
      "node_id": "node_2468",
      "content": "INITIAL DESIGN (Trace 353)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 185.48 kg\n  Factor of Safety: 0.24\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.4826314123637,
      "fos_buckling": 0.23970104890049312,
      "fos_yielding": 1.1027884264661607,
      "deflection": 0.010660000346837563,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2469": {
      "node_id": "node_2469",
      "content": "MODIFICATION: Increase 13 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 191.02 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.49e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.02281588831278,
      "fos_buckling": 0.23970987935227686,
      "fos_yielding": 1.2729484441703842,
      "deflection": 0.009489004570794915,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.538)"
      },
      "parent_node_id": "node_2468",
      "improvement_over_parent": null
    },
    "node_2470": {
      "node_id": "node_2470",
      "content": "MODIFICATION: Increase 2 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 193.47 kg\n  Factor of Safety: 0.24\n  Max Deflection: 9.39e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.47435656191377,
      "fos_buckling": 0.23886873325884903,
      "fos_yielding": 1.2728002561468406,
      "deflection": 0.009387631711544,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.484)"
      },
      "parent_node_id": "node_2469",
      "improvement_over_parent": null
    },
    "node_2471": {
      "node_id": "node_2471",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 221.39 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.3868412199157,
      "fos_buckling": 1.120470552656665,
      "fos_yielding": 2.095850035807836,
      "deflection": 0.004683210386199373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005097)"
      },
      "parent_node_id": "node_2470",
      "improvement_over_parent": null
    },
    "node_2472": {
      "node_id": "node_2472",
      "content": "MODIFICATION: Increase 11 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 223.08 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.07908202631336,
      "fos_buckling": 1.1317253569830958,
      "fos_yielding": 2.116902246412239,
      "deflection": 0.004667327867123642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.445)"
      },
      "parent_node_id": "node_2471",
      "improvement_over_parent": null
    },
    "node_2473": {
      "node_id": "node_2473",
      "content": "MODIFICATION: Increase 6 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 225.02 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.01775590942756,
      "fos_buckling": 1.3785984553555648,
      "fos_yielding": 2.318239117340872,
      "deflection": 0.00452324854307957,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.374)"
      },
      "parent_node_id": "node_2472",
      "improvement_over_parent": null
    },
    "node_2474": {
      "node_id": "node_2474",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5823330526226,
      "fos_buckling": 1.5409147461191302,
      "fos_yielding": 2.6497943075640373,
      "deflection": 0.0039588274911010355,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.159)"
      },
      "parent_node_id": "node_2473",
      "improvement_over_parent": null
    },
    "node_2475": {
      "node_id": "node_2475",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2474",
      "improvement_over_parent": null
    },
    "node_2476": {
      "node_id": "node_2476",
      "content": "INITIAL DESIGN (Trace 354)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 167.62 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.38e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.6226354050627,
      "fos_buckling": 0.05478893314751683,
      "fos_yielding": 0.3361744575698232,
      "deflection": 23836359981002.383,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2477": {
      "node_id": "node_2477",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 197.40 kg\n  Factor of Safety: 0.38\n  Max Deflection: 8.92e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.40217447068534,
      "fos_buckling": 0.37666716410173406,
      "fos_yielding": 1.259620395913652,
      "deflection": 8916539988069.053,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2476",
      "improvement_over_parent": null
    },
    "node_2478": {
      "node_id": "node_2478",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 215.44 kg\n  Factor of Safety: 0.62\n  Max Deflection: 5.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.444710673433,
      "fos_buckling": 0.6207484034363233,
      "fos_yielding": 2.2755342241773597,
      "deflection": 0.005777190199943149,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2477",
      "improvement_over_parent": null
    },
    "node_2479": {
      "node_id": "node_2479",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 217.49 kg\n  Factor of Safety: 0.62\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.48643384998928,
      "fos_buckling": 0.6207668668242541,
      "fos_yielding": 2.2754011268116368,
      "deflection": 0.00568778860580382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.634)"
      },
      "parent_node_id": "node_2478",
      "improvement_over_parent": null
    },
    "node_2480": {
      "node_id": "node_2480",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 236.58 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.57617762479674,
      "fos_buckling": 0.6738162020972163,
      "fos_yielding": 2.2741574433559633,
      "deflection": 0.0051157291757300645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_2479",
      "improvement_over_parent": null
    },
    "node_2481": {
      "node_id": "node_2481",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53236163161233,
      "fos_buckling": 1.5408026994859323,
      "fos_yielding": 2.649282873510324,
      "deflection": 0.003959894989990031,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_2480",
      "improvement_over_parent": null
    },
    "node_2482": {
      "node_id": "node_2482",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2481",
      "improvement_over_parent": null
    },
    "node_2483": {
      "node_id": "node_2483",
      "content": "INITIAL DESIGN (Trace 355)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 162.66 kg\n  Factor of Safety: 1.04\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.65689353304467,
      "fos_buckling": 1.041807694311447,
      "fos_yielding": 1.6806214381855429,
      "deflection": 0.00623535816019074,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2484": {
      "node_id": "node_2484",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 190.54 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.33e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.53730414472216,
      "fos_buckling": 1.1966956745793402,
      "fos_yielding": 1.9661790544853779,
      "deflection": 0.005331558594952996,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2483",
      "improvement_over_parent": null
    },
    "node_2485": {
      "node_id": "node_2485",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 231.43 kg\n  Factor of Safety: 1.41\n  Max Deflection: 4.40e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.43023513702053,
      "fos_buckling": 1.411451828844212,
      "fos_yielding": 2.383698402307035,
      "deflection": 0.004399863992978812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_2484",
      "improvement_over_parent": null
    },
    "node_2486": {
      "node_id": "node_2486",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.54446987138374,
      "fos_buckling": 1.5408955365771326,
      "fos_yielding": 2.6495113800505012,
      "deflection": 0.0039596838668535216,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_2485",
      "improvement_over_parent": null
    },
    "node_2487": {
      "node_id": "node_2487",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2486",
      "improvement_over_parent": null
    },
    "node_2488": {
      "node_id": "node_2488",
      "content": "INITIAL DESIGN (Trace 356)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 219.17 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.18e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.17355471902468,
      "fos_buckling": 0.26682903393305685,
      "fos_yielding": 1.4550752846534778,
      "deflection": 0.008177157360372767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2489": {
      "node_id": "node_2489",
      "content": "MODIFICATION: Increase 16 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.79 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.78785754916797,
      "fos_buckling": 0.267744599615545,
      "fos_yielding": 1.4547568976339318,
      "deflection": 0.00814304463107235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.377)"
      },
      "parent_node_id": "node_2488",
      "improvement_over_parent": null
    },
    "node_2490": {
      "node_id": "node_2490",
      "content": "MODIFICATION: Increase 12 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 225.59 kg\n  Factor of Safety: 0.27\n  Max Deflection: 8.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.5893500941173,
      "fos_buckling": 0.26764841567893705,
      "fos_yielding": 1.4547568976339316,
      "deflection": 0.008134438482059423,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.220)"
      },
      "parent_node_id": "node_2489",
      "improvement_over_parent": null
    },
    "node_2491": {
      "node_id": "node_2491",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5392924678548,
      "fos_buckling": 1.5408115918415204,
      "fos_yielding": 2.649365044698649,
      "deflection": 0.003959821781474733,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2490",
      "improvement_over_parent": null
    },
    "node_2492": {
      "node_id": "node_2492",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2491",
      "improvement_over_parent": null
    },
    "node_2493": {
      "node_id": "node_2493",
      "content": "INITIAL DESIGN (Trace 357)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 175.00 kg\n  Factor of Safety: 0.76\n  Max Deflection: 6.76e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.99937436577963,
      "fos_buckling": 0.7623294574573214,
      "fos_yielding": 1.4574374872773401,
      "deflection": 0.006762093719856332,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2494": {
      "node_id": "node_2494",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 216.99 kg\n  Factor of Safety: 0.91\n  Max Deflection: 5.47e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.99077072884208,
      "fos_buckling": 0.9119389063147256,
      "fos_yielding": 1.802548857650243,
      "deflection": 0.005467524264087327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2493",
      "improvement_over_parent": null
    },
    "node_2495": {
      "node_id": "node_2495",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 235.03 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.03330693158975,
      "fos_buckling": 0.9269181930873419,
      "fos_yielding": 2.6382154106450075,
      "deflection": 0.004615233187952769,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2494",
      "improvement_over_parent": null
    },
    "node_2496": {
      "node_id": "node_2496",
      "content": "MODIFICATION: Increase 14 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 239.57 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.56955284873035,
      "fos_buckling": 0.9267986521106081,
      "fos_yielding": 2.630986940852796,
      "deflection": 0.004576742246407919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.342)"
      },
      "parent_node_id": "node_2495",
      "improvement_over_parent": null
    },
    "node_2497": {
      "node_id": "node_2497",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5589174153902,
      "fos_buckling": 1.540993969091216,
      "fos_yielding": 2.6496626614276404,
      "deflection": 0.003959461157604159,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2496",
      "improvement_over_parent": null
    },
    "node_2498": {
      "node_id": "node_2498",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2497",
      "improvement_over_parent": null
    },
    "node_2499": {
      "node_id": "node_2499",
      "content": "INITIAL DESIGN (Trace 358)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 158.55 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.5547368540039,
      "fos_buckling": 0.664788744282532,
      "fos_yielding": 1.7818894093638669,
      "deflection": 0.00681670314796961,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2500": {
      "node_id": "node_2500",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 196.98 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.98051134257034,
      "fos_buckling": 0.8003548268019246,
      "fos_yielding": 2.209085577334187,
      "deflection": 0.005500293568822175,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2499",
      "improvement_over_parent": null
    },
    "node_2501": {
      "node_id": "node_2501",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 235.60 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.59931488738718,
      "fos_buckling": 0.9267613499935695,
      "fos_yielding": 2.636578558020965,
      "deflection": 0.004609956269079306,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2500",
      "improvement_over_parent": null
    },
    "node_2502": {
      "node_id": "node_2502",
      "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.52 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.52222206995555,
      "fos_buckling": 0.9266579891000453,
      "fos_yielding": 2.630496874949073,
      "deflection": 0.004577605570832873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.284)"
      },
      "parent_node_id": "node_2501",
      "improvement_over_parent": null
    },
    "node_2503": {
      "node_id": "node_2503",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51158663661545,
      "fos_buckling": 1.540736782747103,
      "fos_yielding": 2.64917020587462,
      "deflection": 0.003960186959768161,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2502",
      "improvement_over_parent": null
    },
    "node_2504": {
      "node_id": "node_2504",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2503",
      "improvement_over_parent": null
    },
    "node_2505": {
      "node_id": "node_2505",
      "content": "INITIAL DESIGN (Trace 359)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 165.32 kg\n  Factor of Safety: 0.04\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": 165.3238880872185,
      "fos_buckling": 0.035471503691048484,
      "fos_yielding": 0.4431598717520699,
      "deflection": 0.023372517661959955,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2506": {
      "node_id": "node_2506",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 187.42 kg\n  Factor of Safety: 0.04\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": 187.41770699189277,
      "fos_buckling": 0.03954488802749861,
      "fos_yielding": 0.5018363033622649,
      "deflection": 0.020644580546382272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_2505",
      "improvement_over_parent": null
    },
    "node_2507": {
      "node_id": "node_2507",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 194.80 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.80264248864202,
      "fos_buckling": 1.051075049162424,
      "fos_yielding": 2.0476506400155996,
      "deflection": 0.005213272984776456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003197)"
      },
      "parent_node_id": "node_2506",
      "improvement_over_parent": null
    },
    "node_2508": {
      "node_id": "node_2508",
      "content": "MODIFICATION: Increase 18 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0046)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 199.50 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.17e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.49651781667532,
      "fos_buckling": 1.0382530822240912,
      "fos_yielding": 2.048306326955862,
      "deflection": 0.00516625283409706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.372)"
      },
      "parent_node_id": "node_2507",
      "improvement_over_parent": null
    },
    "node_2509": {
      "node_id": "node_2509",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0061)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 258.44 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.4377521222856,
      "fos_buckling": 1.3113651744173198,
      "fos_yielding": 2.647859555231942,
      "deflection": 0.003998395400267572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_2508",
      "improvement_over_parent": null
    },
    "node_2510": {
      "node_id": "node_2510",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2509",
      "improvement_over_parent": null
    },
    "node_2511": {
      "node_id": "node_2511",
      "content": "INITIAL DESIGN (Trace 360)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 172.76 kg\n  Factor of Safety: 0.51\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.7606359007903,
      "fos_buckling": 0.5100731213104922,
      "fos_yielding": 1.4725023558516017,
      "deflection": 0.0058394058526670106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2512": {
      "node_id": "node_2512",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 197.63 kg\n  Factor of Safety: 0.57\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.63200508011295,
      "fos_buckling": 0.574838013806276,
      "fos_yielding": 1.6883934144640702,
      "deflection": 0.005108499817290685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2511",
      "improvement_over_parent": null
    },
    "node_2513": {
      "node_id": "node_2513",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 204.15 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.28e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.14513482613066,
      "fos_buckling": 1.0508989913633768,
      "fos_yielding": 1.678720746742879,
      "deflection": 0.005281090795446857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002653)"
      },
      "parent_node_id": "node_2512",
      "improvement_over_parent": null
    },
    "node_2514": {
      "node_id": "node_2514",
      "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 205.61 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.61225514679623,
      "fos_buckling": 1.0686435787358968,
      "fos_yielding": 1.69503049952131,
      "deflection": 0.005144471107221373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.277)"
      },
      "parent_node_id": "node_2513",
      "improvement_over_parent": null
    },
    "node_2515": {
      "node_id": "node_2515",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 247.59 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.28e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.58816031306228,
      "fos_buckling": 1.2487486110521766,
      "fos_yielding": 2.049089147187657,
      "deflection": 0.004278719664290235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_2514",
      "improvement_over_parent": null
    },
    "node_2516": {
      "node_id": "node_2516",
      "content": "MODIFICATION: Increase 2 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 250.95 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.95282380862423,
      "fos_buckling": 1.3257629989052588,
      "fos_yielding": 2.636456407706212,
      "deflection": 0.004034613568924455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.647)"
      },
      "parent_node_id": "node_2515",
      "improvement_over_parent": null
    },
    "node_2517": {
      "node_id": "node_2517",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59542403744354,
      "fos_buckling": 1.5412073109465652,
      "fos_yielding": 2.650140031767268,
      "deflection": 0.003959282850806282,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2516",
      "improvement_over_parent": null
    },
    "node_2518": {
      "node_id": "node_2518",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2517",
      "improvement_over_parent": null
    },
    "node_2519": {
      "node_id": "node_2519",
      "content": "INITIAL DESIGN (Trace 361)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 143.62 kg\n  Factor of Safety: 0.46\n  Max Deflection: 8.37e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 143.620089932195,
      "fos_buckling": 0.46059808161247034,
      "fos_yielding": 1.5841605908517127,
      "deflection": 0.00837161826677607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2520": {
      "node_id": "node_2520",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 144.21 kg\n  Factor of Safety: 0.46\n  Max Deflection: 8.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.2080877193979,
      "fos_buckling": 0.46059034109451474,
      "fos_yielding": 1.5841339033298734,
      "deflection": 0.008348165056667406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.239)"
      },
      "parent_node_id": "node_2519",
      "improvement_over_parent": null
    },
    "node_2521": {
      "node_id": "node_2521",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n\nPerformance:\n  Mass: 150.56 kg\n  Factor of Safety: 0.46\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.56197404625715,
      "fos_buckling": 0.4602560143569301,
      "fos_yielding": 1.5829812238901522,
      "deflection": 0.00794787066902486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002254)"
      },
      "parent_node_id": "node_2520",
      "improvement_over_parent": null
    },
    "node_2522": {
      "node_id": "node_2522",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n\nPerformance:\n  Mass: 184.41 kg\n  Factor of Safety: 0.55\n  Max Deflection: 6.50e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.41194370557216,
      "fos_buckling": 0.5483066412824462,
      "fos_yielding": 1.933727417144841,
      "deflection": 0.00650340202962706,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2521",
      "improvement_over_parent": null
    },
    "node_2523": {
      "node_id": "node_2523",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 236.32 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.32258369022477,
      "fos_buckling": 0.6725792759257987,
      "fos_yielding": 2.4680119431466787,
      "deflection": 0.005092112010316327,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_2522",
      "improvement_over_parent": null
    },
    "node_2524": {
      "node_id": "node_2524",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5777097721169,
      "fos_buckling": 1.541071543559211,
      "fos_yielding": 2.6499186283728915,
      "deflection": 0.003959156141445223,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2523",
      "improvement_over_parent": null
    },
    "node_2525": {
      "node_id": "node_2525",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2524",
      "improvement_over_parent": null
    },
    "node_2526": {
      "node_id": "node_2526",
      "content": "INITIAL DESIGN (Trace 362)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n\nPerformance:\n  Mass: 113.05 kg\n  Factor of Safety: 0.03\n  Max Deflection: 4.26e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 113.05042962759501,
      "fos_buckling": 0.02814924956345342,
      "fos_yielding": 0.3425788182974266,
      "deflection": 0.04260709664549922,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2527": {
      "node_id": "node_2527",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n  Mass: 118.08 kg\n  Factor of Safety: 0.26\n  Max Deflection: 9.96e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 118.07869373196218,
      "fos_buckling": 0.2559690394196777,
      "fos_yielding": 0.9844874488657159,
      "deflection": 0.009959209999179267,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002129)"
      },
      "parent_node_id": "node_2526",
      "improvement_over_parent": null
    },
    "node_2528": {
      "node_id": "node_2528",
      "content": "MODIFICATION: Increase 11 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n\nPerformance:\n  Mass: 127.30 kg\n  Factor of Safety: 0.26\n  Max Deflection: 9.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.30139253008441,
      "fos_buckling": 0.2559014350667181,
      "fos_yielding": 0.9842274344626915,
      "deflection": 0.009763221314428609,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.590)"
      },
      "parent_node_id": "node_2527",
      "improvement_over_parent": null
    },
    "node_2529": {
      "node_id": "node_2529",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n  Mass: 131.42 kg\n  Factor of Safety: 0.26\n  Max Deflection: 9.97e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.42306997340287,
      "fos_buckling": 0.25584103973025946,
      "fos_yielding": 0.9839951467967756,
      "deflection": 0.00997469157191287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001633)"
      },
      "parent_node_id": "node_2528",
      "improvement_over_parent": null
    },
    "node_2530": {
      "node_id": "node_2530",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 168.83 kg\n  Factor of Safety: 0.32\n  Max Deflection: 7.77e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.83433922745257,
      "fos_buckling": 0.3245175524177196,
      "fos_yielding": 1.2682726613790656,
      "deflection": 0.007768186982057432,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.304)"
      },
      "parent_node_id": "node_2529",
      "improvement_over_parent": null
    },
    "node_2531": {
      "node_id": "node_2531",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0062)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 183.21 kg\n  Factor of Safety: 0.85\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.2111756254323,
      "fos_buckling": 0.8495270699347549,
      "fos_yielding": 1.808552118054662,
      "deflection": 0.005702259454768814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003160)"
      },
      "parent_node_id": "node_2530",
      "improvement_over_parent": null
    },
    "node_2532": {
      "node_id": "node_2532",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0077)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 224.52 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.5192680571607,
      "fos_buckling": 1.0254829129421776,
      "fos_yielding": 2.215309390771263,
      "deflection": 0.0046592192678874735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_2531",
      "improvement_over_parent": null
    },
    "node_2533": {
      "node_id": "node_2533",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0094)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 270.02 kg\n  Factor of Safety: 1.21\n  Max Deflection: 3.88e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 270.02376288142057,
      "fos_buckling": 1.2127111180321037,
      "fos_yielding": 2.6632643537203,
      "deflection": 0.003879345330747692,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2532",
      "improvement_over_parent": null
    },
    "node_2534": {
      "node_id": "node_2534",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2533",
      "improvement_over_parent": null
    },
    "node_2535": {
      "node_id": "node_2535",
      "content": "INITIAL DESIGN (Trace 363)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0017)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 140.04 kg\n  Factor of Safety: 0.50\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.04466657137536,
      "fos_buckling": 0.4955824223504268,
      "fos_yielding": 1.3940719894825673,
      "deflection": 0.006911850414260627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2536": {
      "node_id": "node_2536",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 181.29 kg\n  Factor of Safety: 0.63\n  Max Deflection: 5.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.29306857245157,
      "fos_buckling": 0.6264413691727685,
      "fos_yielding": 1.8061045212164017,
      "deflection": 0.005350777872004576,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.314)"
      },
      "parent_node_id": "node_2535",
      "improvement_over_parent": null
    },
    "node_2537": {
      "node_id": "node_2537",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n  Mass: 184.96 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.51e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.9610477460908,
      "fos_buckling": 0.9885735088795573,
      "fos_yielding": 1.8209032928269133,
      "deflection": 0.00550920521365815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001446)"
      },
      "parent_node_id": "node_2536",
      "improvement_over_parent": null
    },
    "node_2538": {
      "node_id": "node_2538",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n\nPerformance:\n  Mass: 189.05 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.44e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.0476083259856,
      "fos_buckling": 0.9719072013521245,
      "fos_yielding": 1.7902047823131488,
      "deflection": 0.005436370985616245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.618)"
      },
      "parent_node_id": "node_2537",
      "improvement_over_parent": null
    },
    "node_2539": {
      "node_id": "node_2539",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n\nPerformance:\n  Mass: 223.04 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.04321672317943,
      "fos_buckling": 1.1285662743221,
      "fos_yielding": 2.11505928813059,
      "deflection": 0.00461506558827029,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2538",
      "improvement_over_parent": null
    },
    "node_2540": {
      "node_id": "node_2540",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0051)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n\nPerformance:\n  Mass: 224.88 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.47e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.87856204183439,
      "fos_buckling": 1.1841877669220624,
      "fos_yielding": 2.330316796943892,
      "deflection": 0.004474638891916572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_2539",
      "improvement_over_parent": null
    },
    "node_2541": {
      "node_id": "node_2541",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n  Mass: 257.75 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.91e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.7488721763074,
      "fos_buckling": 1.347227396452944,
      "fos_yielding": 2.6674784027900293,
      "deflection": 0.003911341681116096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.161)"
      },
      "parent_node_id": "node_2540",
      "improvement_over_parent": null
    },
    "node_2542": {
      "node_id": "node_2542",
      "content": "MODIFICATION: Increase 15 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0059)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0033)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n\nPerformance:\n  Mass: 259.10 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.10108388225285,
      "fos_buckling": 1.3620798807178929,
      "fos_yielding": 2.6631621529486766,
      "deflection": 0.003917399186144043,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.232)"
      },
      "parent_node_id": "node_2541",
      "improvement_over_parent": null
    },
    "node_2543": {
      "node_id": "node_2543",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2542",
      "improvement_over_parent": null
    },
    "node_2544": {
      "node_id": "node_2544",
      "content": "INITIAL DESIGN (Trace 364)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 204.40 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.40416645500073,
      "fos_buckling": 1.1922221160073858,
      "fos_yielding": 1.8582856478395398,
      "deflection": 0.004883471365841323,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2545": {
      "node_id": "node_2545",
      "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 205.98 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.97996219454438,
      "fos_buckling": 1.1920430006755918,
      "fos_yielding": 2.273389828393494,
      "deflection": 0.004710578220628972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.241)"
      },
      "parent_node_id": "node_2544",
      "improvement_over_parent": null
    },
    "node_2546": {
      "node_id": "node_2546",
      "content": "MODIFICATION: Increase 19 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 209.44 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.43891555242817,
      "fos_buckling": 1.2331429037155317,
      "fos_yielding": 2.2731644732074168,
      "deflection": 0.0046471517824835445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.261)"
      },
      "parent_node_id": "node_2545",
      "improvement_over_parent": null
    },
    "node_2547": {
      "node_id": "node_2547",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n\nPerformance:\n  Mass: 214.91 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.91360470859513,
      "fos_buckling": 1.3264311083390956,
      "fos_yielding": 2.2152192874695684,
      "deflection": 0.004733561007601739,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002198)"
      },
      "parent_node_id": "node_2546",
      "improvement_over_parent": null
    },
    "node_2548": {
      "node_id": "node_2548",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.57295041541187,
      "fos_buckling": 1.540972926702443,
      "fos_yielding": 2.6497644233868036,
      "deflection": 0.003959308639121104,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.218)"
      },
      "parent_node_id": "node_2547",
      "improvement_over_parent": null
    },
    "node_2549": {
      "node_id": "node_2549",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2548",
      "improvement_over_parent": null
    },
    "node_2550": {
      "node_id": "node_2550",
      "content": "INITIAL DESIGN (Trace 365)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 206.82 kg\n  Factor of Safety: 0.58\n  Max Deflection: 7.65e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.81717560686963,
      "fos_buckling": 0.5755856410194646,
      "fos_yielding": 2.077812384898748,
      "deflection": 7647939535814.656,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2551": {
      "node_id": "node_2551",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 215.45 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.38e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.45403913452319,
      "fos_buckling": 0.6738486078924623,
      "fos_yielding": 1.9634969272895597,
      "deflection": 0.005383343956961631,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_2550",
      "improvement_over_parent": null
    },
    "node_2552": {
      "node_id": "node_2552",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 225.43 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.42579253321884,
      "fos_buckling": 0.6730864527184466,
      "fos_yielding": 1.9622594872097192,
      "deflection": 0.005177751764056162,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_2551",
      "improvement_over_parent": null
    },
    "node_2553": {
      "node_id": "node_2553",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 226.91 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.90587161818883,
      "fos_buckling": 0.673001715950798,
      "fos_yielding": 1.9622135997903607,
      "deflection": 0.005178125703836157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.397)"
      },
      "parent_node_id": "node_2552",
      "improvement_over_parent": null
    },
    "node_2554": {
      "node_id": "node_2554",
      "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 229.72 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.72475576664465,
      "fos_buckling": 0.6728403895654025,
      "fos_yielding": 2.468879253929415,
      "deflection": 0.0050468703319051355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.458)"
      },
      "parent_node_id": "node_2553",
      "improvement_over_parent": null
    },
    "node_2555": {
      "node_id": "node_2555",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.98 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.9798818485368,
      "fos_buckling": 1.4355655091340058,
      "fos_yielding": 2.7181002040811237,
      "deflection": 0.0038878676142765005,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2554",
      "improvement_over_parent": null
    },
    "node_2556": {
      "node_id": "node_2556",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5386700366864,
      "fos_buckling": 1.5408126371755686,
      "fos_yielding": 2.6494250845840392,
      "deflection": 0.003959570231018099,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2555",
      "improvement_over_parent": null
    },
    "node_2557": {
      "node_id": "node_2557",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2556",
      "improvement_over_parent": null
    },
    "node_2558": {
      "node_id": "node_2558",
      "content": "INITIAL DESIGN (Trace 366)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.95 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.94697910354148,
      "fos_buckling": 0.964742646280038,
      "fos_yielding": 1.4160963258495625,
      "deflection": 0.005582991148238612,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2559": {
      "node_id": "node_2559",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 245.32 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.32211479476038,
      "fos_buckling": 1.1662015777888985,
      "fos_yielding": 1.75332890573026,
      "deflection": 0.004530862533832913,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2558",
      "improvement_over_parent": null
    },
    "node_2560": {
      "node_id": "node_2560",
      "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.59 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.58707341587913,
      "fos_buckling": 1.1646140343562315,
      "fos_yielding": 1.7552925228211265,
      "deflection": 0.004500542058677061,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.196)"
      },
      "parent_node_id": "node_2559",
      "improvement_over_parent": null
    },
    "node_2561": {
      "node_id": "node_2561",
      "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.19 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.21e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.19097477749656,
      "fos_buckling": 1.147151591812534,
      "fos_yielding": 2.0234539386285118,
      "deflection": 0.00421145384968012,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.587)"
      },
      "parent_node_id": "node_2560",
      "improvement_over_parent": null
    },
    "node_2562": {
      "node_id": "node_2562",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.99 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.98689746305703,
      "fos_buckling": 1.2760991145683798,
      "fos_yielding": 2.6821739759975376,
      "deflection": 0.004038642718897564,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.453)"
      },
      "parent_node_id": "node_2561",
      "improvement_over_parent": null
    },
    "node_2563": {
      "node_id": "node_2563",
      "content": "MODIFICATION: Increase 15 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59876675547747,
      "fos_buckling": 1.541240663943928,
      "fos_yielding": 2.6494037468649534,
      "deflection": 0.003959004342463842,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.553)"
      },
      "parent_node_id": "node_2562",
      "improvement_over_parent": null
    },
    "node_2564": {
      "node_id": "node_2564",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2563",
      "improvement_over_parent": null
    },
    "node_2565": {
      "node_id": "node_2565",
      "content": "INITIAL DESIGN (Trace 367)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 163.20 kg\n  Factor of Safety: 0.55\n  Max Deflection: 4.12e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.1958493521843,
      "fos_buckling": 0.546928255851798,
      "fos_yielding": 2.1760032669796754,
      "deflection": 4116514748190.7812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2566": {
      "node_id": "node_2566",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 206.24 kg\n  Factor of Safety: 0.54\n  Max Deflection: 7.27e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.23877720498544,
      "fos_buckling": 0.537953740420117,
      "fos_yielding": 2.4147327524677316,
      "deflection": 7270375410513.732,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_2565",
      "improvement_over_parent": null
    },
    "node_2567": {
      "node_id": "node_2567",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 212.88 kg\n  Factor of Safety: 0.59\n  Max Deflection: 4.73e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.88137743380477,
      "fos_buckling": 0.5920532755254118,
      "fos_yielding": 1.439566166758459,
      "deflection": 4729755243818.245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2566",
      "improvement_over_parent": null
    },
    "node_2568": {
      "node_id": "node_2568",
      "content": "MODIFICATION: Increase 11 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 222.59 kg\n  Factor of Safety: 0.57\n  Max Deflection: 4.87e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.58803740691764,
      "fos_buckling": 0.5721425474328977,
      "fos_yielding": 1.6860595295888616,
      "deflection": 4866184913580.356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.346)"
      },
      "parent_node_id": "node_2567",
      "improvement_over_parent": null
    },
    "node_2569": {
      "node_id": "node_2569",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 236.34 kg\n  Factor of Safety: 0.00\n  Max Deflection: 1.10e+15 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.33750587310504,
      "fos_buckling": 0.001277103900519861,
      "fos_yielding": 0.006724947394473462,
      "deflection": 1099704914629668.6,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2568",
      "improvement_over_parent": null
    },
    "node_2570": {
      "node_id": "node_2570",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 241.05 kg\n  Factor of Safety: 0.53\n  Max Deflection: 5.26e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.05432512246662,
      "fos_buckling": 0.5338568129731441,
      "fos_yielding": 2.204068323222031,
      "deflection": 0.005259162483728627,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2569",
      "improvement_over_parent": null
    },
    "node_2571": {
      "node_id": "node_2571",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 262.31 kg\n  Factor of Safety: 1.34\n  Max Deflection: 3.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.30945120435877,
      "fos_buckling": 1.3445630991644892,
      "fos_yielding": 2.2492856187491888,
      "deflection": 0.003972512121822577,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2570",
      "improvement_over_parent": null
    },
    "node_2572": {
      "node_id": "node_2572",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0080)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 264.78 kg\n  Factor of Safety: 1.34\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.77921537110973,
      "fos_buckling": 1.3433971613217186,
      "fos_yielding": 2.659753910531094,
      "deflection": 0.0039000536660757355,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.460)"
      },
      "parent_node_id": "node_2571",
      "improvement_over_parent": null
    },
    "node_2573": {
      "node_id": "node_2573",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2572",
      "improvement_over_parent": null
    },
    "node_2574": {
      "node_id": "node_2574",
      "content": "INITIAL DESIGN (Trace 368)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0020)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 180.41 kg\n  Factor of Safety: 1.09\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.40888283820556,
      "fos_buckling": 1.0927520254820409,
      "fos_yielding": 1.5516265507956877,
      "deflection": 0.005844457295149999,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2575": {
      "node_id": "node_2575",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 200.09 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.27e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.09345477244176,
      "fos_buckling": 1.1963354740581087,
      "fos_yielding": 1.7225236174485314,
      "deflection": 0.00527387607122704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2574",
      "improvement_over_parent": null
    },
    "node_2576": {
      "node_id": "node_2576",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.82 kg\n  Factor of Safety: 1.47\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.82219240850645,
      "fos_buckling": 1.468226465807082,
      "fos_yielding": 2.2000272808771855,
      "deflection": 0.004150568998801598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.300)"
      },
      "parent_node_id": "node_2575",
      "improvement_over_parent": null
    },
    "node_2577": {
      "node_id": "node_2577",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.43077124508665,
      "fos_buckling": 1.5403400966638174,
      "fos_yielding": 2.6483475982650404,
      "deflection": 0.003961372490725253,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.443)"
      },
      "parent_node_id": "node_2576",
      "improvement_over_parent": null
    },
    "node_2578": {
      "node_id": "node_2578",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2577",
      "improvement_over_parent": null
    },
    "node_2579": {
      "node_id": "node_2579",
      "content": "INITIAL DESIGN (Trace 369)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.45 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.36e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.45384383146376,
      "fos_buckling": 0.0358220365609773,
      "fos_yielding": 0.4481323260440297,
      "deflection": 0.023620605189955166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2580": {
      "node_id": "node_2580",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 202.67 kg\n  Factor of Safety: 0.04\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": 202.67035995049542,
      "fos_buckling": 0.04179292797684372,
      "fos_yielding": 0.5351706463598905,
      "deflection": 0.019780697806304596,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.211)"
      },
      "parent_node_id": "node_2579",
      "improvement_over_parent": null
    },
    "node_2581": {
      "node_id": "node_2581",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.07 kg\n  Factor of Safety: 0.05\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": 246.06994266660772,
      "fos_buckling": 0.049080946774179006,
      "fos_yielding": 0.6484932339978213,
      "deflection": 0.016325491213173803,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2580",
      "improvement_over_parent": null
    },
    "node_2582": {
      "node_id": "node_2582",
      "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.18 kg\n  Factor of Safety: 0.05\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": 248.1839066446856,
      "fos_buckling": 0.04907439167082102,
      "fos_yielding": 0.648406623195561,
      "deflection": 0.015989404546854984,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.295)"
      },
      "parent_node_id": "node_2581",
      "improvement_over_parent": null
    },
    "node_2583": {
      "node_id": "node_2583",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.75 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7470476239054,
      "fos_buckling": 1.5419405992668405,
      "fos_yielding": 2.65158456449694,
      "deflection": 0.003956862879683574,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2582",
      "improvement_over_parent": null
    },
    "node_2584": {
      "node_id": "node_2584",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 370)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 189.95 kg\n  Factor of Safety: 0.87\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.9523276947269,
      "fos_buckling": 0.8710287623549658,
      "fos_yielding": 1.9894637772533763,
      "deflection": 0.005632388277042898,
      "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 205.56 kg\n  Factor of Safety: 0.94\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.55792654705454,
      "fos_buckling": 0.9381168944220416,
      "fos_yielding": 2.1415835764911026,
      "deflection": 0.004900503962277095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003667)"
      },
      "parent_node_id": "node_2585",
      "improvement_over_parent": null
    },
    "node_2587": {
      "node_id": "node_2587",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 251.50 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.50001620605636,
      "fos_buckling": 1.1250283467512043,
      "fos_yielding": 2.614698496420879,
      "deflection": 0.0040160350752882455,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_2586",
      "improvement_over_parent": null
    },
    "node_2588": {
      "node_id": "node_2588",
      "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 253.77 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.76857328745993,
      "fos_buckling": 1.2481358322390925,
      "fos_yielding": 2.624326284178915,
      "deflection": 0.004034558766173072,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.447)"
      },
      "parent_node_id": "node_2587",
      "improvement_over_parent": null
    },
    "node_2589": {
      "node_id": "node_2589",
      "content": "MODIFICATION: Increase 10 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5096143289859,
      "fos_buckling": 1.5407147944543282,
      "fos_yielding": 2.6491502693255793,
      "deflection": 0.003960175830491675,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.658)"
      },
      "parent_node_id": "node_2588",
      "improvement_over_parent": null
    },
    "node_2590": {
      "node_id": "node_2590",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2589",
      "improvement_over_parent": null
    },
    "node_2591": {
      "node_id": "node_2591",
      "content": "INITIAL DESIGN (Trace 371)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 171.01 kg\n  Factor of Safety: 0.49\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.00853260530184,
      "fos_buckling": 0.48824519453569354,
      "fos_yielding": 1.8306564694555387,
      "deflection": 0.005838347948827059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2592": {
      "node_id": "node_2592",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 187.82 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.82039557828531,
      "fos_buckling": 0.9513467638845594,
      "fos_yielding": 2.1859308900727634,
      "deflection": 0.004521042443712314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003765)"
      },
      "parent_node_id": "node_2591",
      "improvement_over_parent": null
    },
    "node_2593": {
      "node_id": "node_2593",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 194.11 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.10986937398428,
      "fos_buckling": 0.9510046146200104,
      "fos_yielding": 2.186704026370846,
      "deflection": 0.004975681282834554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002555)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 199.37 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.3715379976082,
      "fos_buckling": 0.9555566765561356,
      "fos_yielding": 2.140288364793106,
      "deflection": 0.0050526897208918705,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002106)"
      },
      "parent_node_id": "node_2593",
      "improvement_over_parent": null
    },
    "node_2595": {
      "node_id": "node_2595",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 200.77 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.76629747483184,
      "fos_buckling": 1.2288034400481187,
      "fos_yielding": 2.141143911185954,
      "deflection": 0.005008726814456348,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.626)"
      },
      "parent_node_id": "node_2594",
      "improvement_over_parent": null
    },
    "node_2596": {
      "node_id": "node_2596",
      "content": "MODIFICATION: Increase 14 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0051)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 207.21 kg\n  Factor of Safety: 1.19\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.20748685591195,
      "fos_buckling": 1.191881923965655,
      "fos_yielding": 2.118741949501235,
      "deflection": 0.004926798110844112,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.661)"
      },
      "parent_node_id": "node_2595",
      "improvement_over_parent": null
    },
    "node_2597": {
      "node_id": "node_2597",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0064)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 258.13 kg\n  Factor of Safety: 1.46\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.1328448258638,
      "fos_buckling": 1.4567148236058616,
      "fos_yielding": 2.635839107073872,
      "deflection": 0.0039638526338225295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2596",
      "improvement_over_parent": null
    },
    "node_2598": {
      "node_id": "node_2598",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2597",
      "improvement_over_parent": null
    },
    "node_2599": {
      "node_id": "node_2599",
      "content": "INITIAL DESIGN (Trace 372)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 161.39 kg\n  Factor of Safety: 0.04\n  Max Deflection: 2.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.3852095552083,
      "fos_buckling": 0.035037207884257925,
      "fos_yielding": 0.437029872230087,
      "deflection": 0.023750603423910194,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2600": {
      "node_id": "node_2600",
      "content": "MODIFICATION: Increase 17 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 163.58 kg\n  Factor of Safety: 0.04\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": 163.58130905387492,
      "fos_buckling": 0.03503354926885674,
      "fos_yielding": 0.43698423719470975,
      "deflection": 0.023754724628813485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.196)"
      },
      "parent_node_id": "node_2599",
      "improvement_over_parent": null
    },
    "node_2601": {
      "node_id": "node_2601",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 194.07 kg\n  Factor of Safety: 0.04\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": 194.0697335254991,
      "fos_buckling": 0.04061812305730559,
      "fos_yielding": 0.5176755243182077,
      "deflection": 0.020058409111926623,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_2600",
      "improvement_over_parent": null
    },
    "node_2602": {
      "node_id": "node_2602",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.45 kg\n  Factor of Safety: 0.05\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": 243.44528695547373,
      "fos_buckling": 0.049039809237959184,
      "fos_yielding": 0.6478477474830919,
      "deflection": 0.0160362642737885,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_2601",
      "improvement_over_parent": null
    },
    "node_2603": {
      "node_id": "node_2603",
      "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.60 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.5986623340074,
      "fos_buckling": 0.049039809237959184,
      "fos_yielding": 0.6478477474830919,
      "deflection": 0.016024859430767174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.195)"
      },
      "parent_node_id": "node_2602",
      "improvement_over_parent": null
    },
    "node_2604": {
      "node_id": "node_2604",
      "content": "MODIFICATION: Increase 11 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.95 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.60e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.95437036739972,
      "fos_buckling": 0.04903980923795914,
      "fos_yielding": 0.6478477474830914,
      "deflection": 0.016003168746331023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.495)"
      },
      "parent_node_id": "node_2603",
      "improvement_over_parent": null
    },
    "node_2605": {
      "node_id": "node_2605",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51751134661953,
      "fos_buckling": 1.5408390954429483,
      "fos_yielding": 2.649360395782123,
      "deflection": 0.003960076891696847,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2604",
      "improvement_over_parent": null
    },
    "node_2606": {
      "node_id": "node_2606",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2605",
      "improvement_over_parent": null
    },
    "node_2607": {
      "node_id": "node_2607",
      "content": "INITIAL DESIGN (Trace 373)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.46 kg\n  Factor of Safety: 0.47\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4622909729242,
      "fos_buckling": 0.47002440729194644,
      "fos_yielding": 2.2686000632131327,
      "deflection": 0.005953524935647405,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2608": {
      "node_id": "node_2608",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 235.10 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.10489120174353,
      "fos_buckling": 0.9271393652057931,
      "fos_yielding": 2.6219811393921626,
      "deflection": 0.004642184509284751,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2607",
      "improvement_over_parent": null
    },
    "node_2609": {
      "node_id": "node_2609",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 253.09 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.09425576840343,
      "fos_buckling": 1.2379012816628623,
      "fos_yielding": 2.6428537112127195,
      "deflection": 0.004000733924137707,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2608",
      "improvement_over_parent": null
    },
    "node_2610": {
      "node_id": "node_2610",
      "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 255.95 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.94526345223036,
      "fos_buckling": 1.539084723626297,
      "fos_yielding": 2.6582808817261254,
      "deflection": 0.00395030491115809,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.439)"
      },
      "parent_node_id": "node_2609",
      "improvement_over_parent": null
    },
    "node_2611": {
      "node_id": "node_2611",
      "content": "MODIFICATION: Increase 16 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0060)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 261.48 kg\n  Factor of Safety: 1.48\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.48487425846105,
      "fos_buckling": 1.4813754734805347,
      "fos_yielding": 2.6533386853607164,
      "deflection": 0.00392182020896464,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.350)"
      },
      "parent_node_id": "node_2610",
      "improvement_over_parent": null
    },
    "node_2612": {
      "node_id": "node_2612",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2611",
      "improvement_over_parent": null
    },
    "node_2613": {
      "node_id": "node_2613",
      "content": "INITIAL DESIGN (Trace 374)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 145.07 kg\n  Factor of Safety: 0.43\n  Max Deflection: 7.85e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 145.0697681358328,
      "fos_buckling": 0.43240460046845797,
      "fos_yielding": 1.5962856617305352,
      "deflection": 0.00785347200554166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2614": {
      "node_id": "node_2614",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 149.65 kg\n  Factor of Safety: 0.50\n  Max Deflection: 8.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 149.65310815677861,
      "fos_buckling": 0.49654819118860805,
      "fos_yielding": 1.5956545896640286,
      "deflection": 0.008038405699580174,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001817)"
      },
      "parent_node_id": "node_2613",
      "improvement_over_parent": null
    },
    "node_2615": {
      "node_id": "node_2615",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n  Mass: 164.30 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.29620007458908,
      "fos_buckling": 0.6868512135236993,
      "fos_yielding": 1.8492404835722591,
      "deflection": 0.00660885148196335,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003248)"
      },
      "parent_node_id": "node_2614",
      "improvement_over_parent": null
    },
    "node_2616": {
      "node_id": "node_2616",
      "content": "MODIFICATION: Increase 17 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0044)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n  Mass: 168.97 kg\n  Factor of Safety: 0.87\n  Max Deflection: 6.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.9663268154782,
      "fos_buckling": 0.8685725940365842,
      "fos_yielding": 1.8490495723619584,
      "deflection": 0.006375934455655009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.342)"
      },
      "parent_node_id": "node_2615",
      "improvement_over_parent": null
    },
    "node_2617": {
      "node_id": "node_2617",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0053)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n\nPerformance:\n  Mass: 200.57 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.38e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.56912816468522,
      "fos_buckling": 0.9937503271010563,
      "fos_yielding": 2.192331993089226,
      "deflection": 0.005381295919460476,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2616",
      "improvement_over_parent": null
    },
    "node_2618": {
      "node_id": "node_2618",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0053)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 215.49 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.74e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.48817965754807,
      "fos_buckling": 1.2964046079364282,
      "fos_yielding": 2.2061559995549462,
      "deflection": 0.004736605914125139,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003615)"
      },
      "parent_node_id": "node_2617",
      "improvement_over_parent": null
    },
    "node_2619": {
      "node_id": "node_2619",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n  M18: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 259.91 kg\n  Factor of Safety: 1.52\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 259.9104584529889,
      "fos_buckling": 1.5171958855636583,
      "fos_yielding": 2.6567442356300606,
      "deflection": 0.003935685195106991,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_2618",
      "improvement_over_parent": null
    },
    "node_2620": {
      "node_id": "node_2620",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2619",
      "improvement_over_parent": null
    },
    "node_2621": {
      "node_id": "node_2621",
      "content": "INITIAL DESIGN (Trace 375)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 208.66 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.66322412138226,
      "fos_buckling": 1.1137352293977167,
      "fos_yielding": 2.222286205739614,
      "deflection": 0.0048313339994410336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2622": {
      "node_id": "node_2622",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 214.26 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.2596101948375,
      "fos_buckling": 1.3307192647781902,
      "fos_yielding": 2.23539203371019,
      "deflection": 0.0047246731894450954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002479)"
      },
      "parent_node_id": "node_2621",
      "improvement_over_parent": null
    },
    "node_2623": {
      "node_id": "node_2623",
      "content": "MODIFICATION: Increase 19 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0049)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 218.05 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.04954707056348,
      "fos_buckling": 1.3374723910137467,
      "fos_yielding": 2.234367987408941,
      "deflection": 0.004673056809765607,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.233)"
      },
      "parent_node_id": "node_2622",
      "improvement_over_parent": null
    },
    "node_2624": {
      "node_id": "node_2624",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0059)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 258.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.6938743554234,
      "fos_buckling": 1.540838703932135,
      "fos_yielding": 2.6465511084609625,
      "deflection": 0.003947571327726743,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2623",
      "improvement_over_parent": null
    },
    "node_2625": {
      "node_id": "node_2625",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 376)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 196.61 kg\n  Factor of Safety: 0.19\n  Max Deflection: 9.81e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.6111389172072,
      "fos_buckling": 0.1945465213614984,
      "fos_yielding": 1.1234740855864342,
      "deflection": 0.009807684083656525,
      "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 9 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 197.77 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.36e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.76700973149406,
      "fos_buckling": 0.22226903076035187,
      "fos_yielding": 1.3176989028145085,
      "deflection": 0.009358634953039227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.190)"
      },
      "parent_node_id": "node_2626",
      "improvement_over_parent": null
    },
    "node_2628": {
      "node_id": "node_2628",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 219.02 kg\n  Factor of Safety: 0.22\n  Max Deflection: 8.78e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.0221358133862,
      "fos_buckling": 0.22226903076035176,
      "fos_yielding": 1.317698902814508,
      "deflection": 0.00878041281381098,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2627",
      "improvement_over_parent": null
    },
    "node_2629": {
      "node_id": "node_2629",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 250.97 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.9720781871237,
      "fos_buckling": 1.4357162493954303,
      "fos_yielding": 2.718101723971116,
      "deflection": 0.0038881170464361843,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2628",
      "improvement_over_parent": null
    },
    "node_2630": {
      "node_id": "node_2630",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5308663752733,
      "fos_buckling": 1.5408089828685056,
      "fos_yielding": 2.649371203167357,
      "deflection": 0.003959873861411257,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2629",
      "improvement_over_parent": null
    },
    "node_2631": {
      "node_id": "node_2631",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 377)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 141.59 kg\n  Factor of Safety: 0.03\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": 141.5860169191466,
      "fos_buckling": 0.03136193219175323,
      "fos_yielding": 0.3859976309480809,
      "deflection": 0.027200893886249345,
      "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 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n\nPerformance:\n  Mass: 147.26 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.2606914259382,
      "fos_buckling": 0.8877903415561922,
      "fos_yielding": 1.5826760348849709,
      "deflection": 0.006857223463622161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002417)"
      },
      "parent_node_id": "node_2632",
      "improvement_over_parent": null
    },
    "node_2634": {
      "node_id": "node_2634",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n\nPerformance:\n  Mass: 171.98 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.9757336865961,
      "fos_buckling": 1.0233886783904211,
      "fos_yielding": 1.8456432151363227,
      "deflection": 0.005880137122879408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.178)"
      },
      "parent_node_id": "node_2633",
      "improvement_over_parent": null
    },
    "node_2635": {
      "node_id": "node_2635",
      "content": "MODIFICATION: Increase 19 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n\nPerformance:\n  Mass: 176.58 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.58264273012722,
      "fos_buckling": 1.022709121850905,
      "fos_yielding": 1.844591362871104,
      "deflection": 0.005798642242527374,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.340)"
      },
      "parent_node_id": "node_2634",
      "improvement_over_parent": null
    },
    "node_2636": {
      "node_id": "node_2636",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0051)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 204.01 kg\n  Factor of Safety: 1.17\n  Max Deflection: 5.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.00515906463608,
      "fos_buckling": 1.1652504917807445,
      "fos_yielding": 2.1285631066427406,
      "deflection": 0.005025786540188554,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.167)"
      },
      "parent_node_id": "node_2635",
      "improvement_over_parent": null
    },
    "node_2637": {
      "node_id": "node_2637",
      "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0035)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0051)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 206.06 kg\n  Factor of Safety: 1.14\n  Max Deflection: 5.04e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0594593962029,
      "fos_buckling": 1.1375905876870405,
      "fos_yielding": 2.134675466254499,
      "deflection": 0.0050424128440042845,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.362)"
      },
      "parent_node_id": "node_2636",
      "improvement_over_parent": null
    },
    "node_2638": {
      "node_id": "node_2638",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.71 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.71328253403857,
      "fos_buckling": 1.387099623352031,
      "fos_yielding": 2.664526306341042,
      "deflection": 0.004039951017224949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.276)"
      },
      "parent_node_id": "node_2637",
      "improvement_over_parent": null
    },
    "node_2639": {
      "node_id": "node_2639",
      "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0044)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0065)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 259.62 kg\n  Factor of Safety: 1.39\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.6239886461884,
      "fos_buckling": 1.3863782180107835,
      "fos_yielding": 2.6630455591146465,
      "deflection": 0.003979926386835831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.572)"
      },
      "parent_node_id": "node_2638",
      "improvement_over_parent": null
    },
    "node_2640": {
      "node_id": "node_2640",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2639",
      "improvement_over_parent": null
    },
    "node_2641": {
      "node_id": "node_2641",
      "content": "INITIAL DESIGN (Trace 378)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 166.05 kg\n  Factor of Safety: 0.07\n  Max Deflection: 1.38e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.0453188886059,
      "fos_buckling": 0.06956399038826447,
      "fos_yielding": 0.8775992223641005,
      "deflection": 0.013796356791422017,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2642": {
      "node_id": "node_2642",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n  Mass: 181.52 kg\n  Factor of Safety: 0.37\n  Max Deflection: 6.09e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.52005697165714,
      "fos_buckling": 0.36683819504489806,
      "fos_yielding": 1.8420138989580854,
      "deflection": 0.006087686750471122,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003445)"
      },
      "parent_node_id": "node_2641",
      "improvement_over_parent": null
    },
    "node_2643": {
      "node_id": "node_2643",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 220.50 kg\n  Factor of Safety: 0.43\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.5025028384242,
      "fos_buckling": 0.43415038391070254,
      "fos_yielding": 2.233725680098684,
      "deflection": 0.005021173369650545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_2642",
      "improvement_over_parent": null
    },
    "node_2644": {
      "node_id": "node_2644",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n  Mass: 229.45 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.46e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 229.45018711247107,
      "fos_buckling": 1.3974463650973046,
      "fos_yielding": 2.3804611343026076,
      "deflection": 0.004456249804547904,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003252)"
      },
      "parent_node_id": "node_2643",
      "improvement_over_parent": null
    },
    "node_2645": {
      "node_id": "node_2645",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 255.77 kg\n  Factor of Safety: 1.53\n  Max Deflection: 4.00e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.7730354927873,
      "fos_buckling": 1.5260646484219456,
      "fos_yielding": 2.6502042774937555,
      "deflection": 0.004003484744845654,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.126)"
      },
      "parent_node_id": "node_2644",
      "improvement_over_parent": null
    },
    "node_2646": {
      "node_id": "node_2646",
      "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50014248691303,
      "fos_buckling": 1.540656886212228,
      "fos_yielding": 2.6490276351469593,
      "deflection": 0.003960353412994344,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.493)"
      },
      "parent_node_id": "node_2645",
      "improvement_over_parent": null
    },
    "node_2647": {
      "node_id": "node_2647",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2646",
      "improvement_over_parent": null
    },
    "node_2648": {
      "node_id": "node_2648",
      "content": "INITIAL DESIGN (Trace 379)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_2649": {
      "node_id": "node_2649",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 252.81 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.81166956822548,
      "fos_buckling": 0.9256657859827703,
      "fos_yielding": 2.6298315131439494,
      "deflection": 0.004580471145244014,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2648",
      "improvement_over_parent": null
    },
    "node_2650": {
      "node_id": "node_2650",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52848881758706,
      "fos_buckling": 1.5408269598197764,
      "fos_yielding": 2.6493666039954746,
      "deflection": 0.00395991607993641,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2649",
      "improvement_over_parent": null
    },
    "node_2651": {
      "node_id": "node_2651",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2650",
      "improvement_over_parent": null
    },
    "node_2652": {
      "node_id": "node_2652",
      "content": "INITIAL DESIGN (Trace 380)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 164.40 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.47e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.4008773406796,
      "fos_buckling": 0.6651329851851072,
      "fos_yielding": 1.6473059031483015,
      "deflection": 0.00647001677662356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2653": {
      "node_id": "node_2653",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n\nPerformance:\n  Mass: 168.90 kg\n  Factor of Safety: 0.33\n  Max Deflection: 6.55e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.90112281435887,
      "fos_buckling": 0.3342437905887592,
      "fos_yielding": 1.7082397430231724,
      "deflection": 0.0065538170508520135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001782)"
      },
      "parent_node_id": "node_2652",
      "improvement_over_parent": null
    },
    "node_2654": {
      "node_id": "node_2654",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 216.02 kg\n  Factor of Safety: 0.41\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.024159910265,
      "fos_buckling": 0.4144947529189069,
      "fos_yielding": 2.180397169915341,
      "deflection": 0.005135982873599622,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.302)"
      },
      "parent_node_id": "node_2653",
      "improvement_over_parent": null
    },
    "node_2655": {
      "node_id": "node_2655",
      "content": "MODIFICATION: Increase 7 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n\nPerformance:\n  Mass: 217.23 kg\n  Factor of Safety: 0.42\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.23358592007295,
      "fos_buckling": 0.420116621486424,
      "fos_yielding": 2.182893032159856,
      "deflection": 0.005095100703395411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.447)"
      },
      "parent_node_id": "node_2654",
      "improvement_over_parent": null
    },
    "node_2656": {
      "node_id": "node_2656",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 225.99 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.50e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.99102738413492,
      "fos_buckling": 1.3837092823505026,
      "fos_yielding": 2.3282510363329862,
      "deflection": 0.0045043274891265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003177)"
      },
      "parent_node_id": "node_2655",
      "improvement_over_parent": null
    },
    "node_2657": {
      "node_id": "node_2657",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.26 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.25973371401244,
      "fos_buckling": 1.5394871805443497,
      "fos_yielding": 2.6466133106827083,
      "deflection": 0.003963984164328278,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.152)"
      },
      "parent_node_id": "node_2656",
      "improvement_over_parent": null
    },
    "node_2658": {
      "node_id": "node_2658",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2657",
      "improvement_over_parent": null
    },
    "node_2659": {
      "node_id": "node_2659",
      "content": "INITIAL DESIGN (Trace 381)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 176.39 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.92e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.3870045886291,
      "fos_buckling": 0.5380014482200074,
      "fos_yielding": 1.8909354866183272,
      "deflection": 0.006917012871636253,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2660": {
      "node_id": "node_2660",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n  Mass: 209.23 kg\n  Factor of Safety: 0.62\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.23101633310807,
      "fos_buckling": 0.6204694080386781,
      "fos_yielding": 2.236704482060429,
      "deflection": 0.005841987455483328,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.202)"
      },
      "parent_node_id": "node_2659",
      "improvement_over_parent": null
    },
    "node_2661": {
      "node_id": "node_2661",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 228.46 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4559756270199,
      "fos_buckling": 1.1160075897757724,
      "fos_yielding": 2.404309494652127,
      "deflection": 0.00443968803240058,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004317)"
      },
      "parent_node_id": "node_2660",
      "improvement_over_parent": null
    },
    "node_2662": {
      "node_id": "node_2662",
      "content": "MODIFICATION: Increase 19 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 231.24 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.23705016241533,
      "fos_buckling": 1.11639640322713,
      "fos_yielding": 2.4049917003199717,
      "deflection": 0.00440838171480086,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.224)"
      },
      "parent_node_id": "node_2661",
      "improvement_over_parent": null
    },
    "node_2663": {
      "node_id": "node_2663",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.66 kg\n  Factor of Safety: 1.22\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.65695005590246,
      "fos_buckling": 1.223868228777468,
      "fos_yielding": 2.655818585038357,
      "deflection": 0.003992795096805425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2662",
      "improvement_over_parent": null
    },
    "node_2664": {
      "node_id": "node_2664",
      "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.543812013494,
      "fos_buckling": 1.5409169422750413,
      "fos_yielding": 2.6496193695283883,
      "deflection": 0.003959631121412871,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.664)"
      },
      "parent_node_id": "node_2663",
      "improvement_over_parent": null
    },
    "node_2665": {
      "node_id": "node_2665",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2664",
      "improvement_over_parent": null
    },
    "node_2666": {
      "node_id": "node_2666",
      "content": "INITIAL DESIGN (Trace 382)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.85 kg\n  Factor of Safety: 0.62\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.8453413072223,
      "fos_buckling": 0.6203271603949554,
      "fos_yielding": 2.047634728132067,
      "deflection": 0.004800980128739254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2667": {
      "node_id": "node_2667",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.68 kg\n  Factor of Safety: 0.76\n  Max Deflection: 3.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.68250901952342,
      "fos_buckling": 0.7574557269154563,
      "fos_yielding": 2.5681379862848557,
      "deflection": 0.003831736929235097,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2666",
      "improvement_over_parent": null
    },
    "node_2668": {
      "node_id": "node_2668",
      "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.77 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.81e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.76834741468926,
      "fos_buckling": 0.7292132097556157,
      "fos_yielding": 2.5625672304012532,
      "deflection": 0.0038145551343069842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.304)"
      },
      "parent_node_id": "node_2667",
      "improvement_over_parent": null
    },
    "node_2669": {
      "node_id": "node_2669",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6071104326687,
      "fos_buckling": 1.5412076033075988,
      "fos_yielding": 2.6501376703287813,
      "deflection": 0.003958698472375994,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_2668",
      "improvement_over_parent": null
    },
    "node_2670": {
      "node_id": "node_2670",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2669",
      "improvement_over_parent": null
    },
    "node_2671": {
      "node_id": "node_2671",
      "content": "INITIAL DESIGN (Trace 383)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.41 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.40685994149237,
      "fos_buckling": 0.802692236952935,
      "fos_yielding": 1.6494913752132065,
      "deflection": 0.005825574405406484,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2672": {
      "node_id": "node_2672",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 199.61 kg\n  Factor of Safety: 0.96\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.6148983486865,
      "fos_buckling": 0.9637384321369973,
      "fos_yielding": 2.006421938512001,
      "deflection": 0.004809543839489975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.230)"
      },
      "parent_node_id": "node_2671",
      "improvement_over_parent": null
    },
    "node_2673": {
      "node_id": "node_2673",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.13 kg\n  Factor of Safety: 1.17\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.12842419566306,
      "fos_buckling": 1.1747404550083116,
      "fos_yielding": 2.490823573085773,
      "deflection": 0.0038974128426830534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.261)"
      },
      "parent_node_id": "node_2672",
      "improvement_over_parent": null
    },
    "node_2674": {
      "node_id": "node_2674",
      "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.98 kg\n  Factor of Safety: 1.30\n  Max Deflection: 3.86e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.97780694530903,
      "fos_buckling": 1.3007793497778992,
      "fos_yielding": 2.7174000024717393,
      "deflection": 0.003859278261128217,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.312)"
      },
      "parent_node_id": "node_2673",
      "improvement_over_parent": null
    },
    "node_2675": {
      "node_id": "node_2675",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 255.54 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.53659513345863,
      "fos_buckling": 1.5261491744905544,
      "fos_yielding": 2.6394079618264343,
      "deflection": 0.003946389800060382,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2674",
      "improvement_over_parent": null
    },
    "node_2676": {
      "node_id": "node_2676",
      "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.43 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.43446522313286,
      "fos_buckling": 1.5403065771388504,
      "fos_yielding": 2.6483752105821816,
      "deflection": 0.003961279910203514,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.351)"
      },
      "parent_node_id": "node_2675",
      "improvement_over_parent": null
    },
    "node_2677": {
      "node_id": "node_2677",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2676",
      "improvement_over_parent": null
    },
    "node_2678": {
      "node_id": "node_2678",
      "content": "INITIAL DESIGN (Trace 384)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 172.00 kg\n  Factor of Safety: 0.30\n  Max Deflection: 6.16e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.00023054695677,
      "fos_buckling": 0.3021437711540985,
      "fos_yielding": 1.7551662667545984,
      "deflection": 6161401988349.87,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2679": {
      "node_id": "node_2679",
      "content": "MODIFICATION: Increase 5 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 173.94 kg\n  Factor of Safety: 0.30\n  Max Deflection: 5.06e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.93980460503298,
      "fos_buckling": 0.3021437711540985,
      "fos_yielding": 1.7551662667545984,
      "deflection": 5059254418708.07,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.368)"
      },
      "parent_node_id": "node_2678",
      "improvement_over_parent": null
    },
    "node_2680": {
      "node_id": "node_2680",
      "content": "MODIFICATION: Increase 10 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 176.08 kg\n  Factor of Safety: 0.20\n  Max Deflection: 7.14e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.0794842057508,
      "fos_buckling": 0.20142918076939903,
      "fos_yielding": 1.1701108445030655,
      "deflection": 7136227692892.673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.618)"
      },
      "parent_node_id": "node_2679",
      "improvement_over_parent": null
    },
    "node_2681": {
      "node_id": "node_2681",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 198.84 kg\n  Factor of Safety: 0.09\n  Max Deflection: 7.93e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.84302585210938,
      "fos_buckling": 0.08801616179319277,
      "fos_yielding": 0.4571661630491201,
      "deflection": 7933322823820.903,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_2680",
      "improvement_over_parent": null
    },
    "node_2682": {
      "node_id": "node_2682",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 203.85 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.8462524607757,
      "fos_buckling": 0.2606158163418735,
      "fos_yielding": 1.456086630422466,
      "deflection": 0.008457835356966766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2681",
      "improvement_over_parent": null
    },
    "node_2683": {
      "node_id": "node_2683",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 235.80 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 235.79619483451322,
      "fos_buckling": 0.6741224104059852,
      "fos_yielding": 2.2748998544677086,
      "deflection": 0.005119121960973749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_2682",
      "improvement_over_parent": null
    },
    "node_2684": {
      "node_id": "node_2684",
      "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 238.38 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.38309780157965,
      "fos_buckling": 0.6761945030905806,
      "fos_yielding": 2.274899854467708,
      "deflection": 0.005098638185710422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.255)"
      },
      "parent_node_id": "node_2683",
      "improvement_over_parent": null
    },
    "node_2685": {
      "node_id": "node_2685",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0049)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 259.34 kg\n  Factor of Safety: 1.40\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 259.33928180839524,
      "fos_buckling": 1.4008122483213201,
      "fos_yielding": 2.6469743241041743,
      "deflection": 0.003954085009610505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_2684",
      "improvement_over_parent": null
    },
    "node_2686": {
      "node_id": "node_2686",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2685",
      "improvement_over_parent": null
    },
    "node_2687": {
      "node_id": "node_2687",
      "content": "INITIAL DESIGN (Trace 385)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 141.43 kg\n  Factor of Safety: 0.54\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": 141.427378821675,
      "fos_buckling": 0.5372496600556514,
      "fos_yielding": 1.0023185872456286,
      "deflection": 0.01364930722754708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2688": {
      "node_id": "node_2688",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n\nPerformance:\n  Mass: 147.99 kg\n  Factor of Safety: 0.60\n  Max Deflection: 8.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.98618415610386,
      "fos_buckling": 0.6000122861234419,
      "fos_yielding": 1.6029104010056374,
      "deflection": 0.008862383798128858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002331)"
      },
      "parent_node_id": "node_2687",
      "improvement_over_parent": null
    },
    "node_2689": {
      "node_id": "node_2689",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n\nPerformance:\n  Mass: 151.28 kg\n  Factor of Safety: 0.39\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.27703391916737,
      "fos_buckling": 0.39473451475948385,
      "fos_yielding": 1.693480061793313,
      "deflection": 0.006656021008671243,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001949)"
      },
      "parent_node_id": "node_2688",
      "improvement_over_parent": null
    },
    "node_2690": {
      "node_id": "node_2690",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 156.43 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 156.43109662486404,
      "fos_buckling": 0.6512777632956412,
      "fos_yielding": 1.744694805570479,
      "deflection": 0.006907452193760599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002066)"
      },
      "parent_node_id": "node_2689",
      "improvement_over_parent": null
    },
    "node_2691": {
      "node_id": "node_2691",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n\nPerformance:\n  Mass: 168.26 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.26374350616047,
      "fos_buckling": 1.0653469092570664,
      "fos_yielding": 1.7555476310555418,
      "deflection": 0.005975661771400429,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002822)"
      },
      "parent_node_id": "node_2690",
      "improvement_over_parent": null
    },
    "node_2692": {
      "node_id": "node_2692",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 197.80 kg\n  Factor of Safety: 1.24\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.80311436528478,
      "fos_buckling": 1.2412177504532935,
      "fos_yielding": 2.0607209596428326,
      "deflection": 0.005092461275217947,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2691",
      "improvement_over_parent": null
    },
    "node_2693": {
      "node_id": "node_2693",
      "content": "MODIFICATION: Increase 16 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0050)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 203.16 kg\n  Factor of Safety: 1.22\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.1622774935608,
      "fos_buckling": 1.2191013774630979,
      "fos_yielding": 2.0594952341265493,
      "deflection": 0.005017349791407308,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.359)"
      },
      "parent_node_id": "node_2692",
      "improvement_over_parent": null
    },
    "node_2694": {
      "node_id": "node_2694",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0066)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 262.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.89e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 262.728652707793,
      "fos_buckling": 1.539782933387176,
      "fos_yielding": 2.6580825218440434,
      "deflection": 0.003891744514773699,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.323)"
      },
      "parent_node_id": "node_2693",
      "improvement_over_parent": null
    },
    "node_2695": {
      "node_id": "node_2695",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 386)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 220.06 kg\n  Factor of Safety: 0.65\n  Max Deflection: 4.32e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.05836053568797,
      "fos_buckling": 0.6533858771829013,
      "fos_yielding": 2.260513774890772,
      "deflection": 0.004321477336535713,
      "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.70 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.70039253097548,
      "fos_buckling": 0.729084614372862,
      "fos_yielding": 2.5619034612139506,
      "deflection": 0.003815572382530665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2696",
      "improvement_over_parent": null
    },
    "node_2698": {
      "node_id": "node_2698",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 256.42 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.41551278127974,
      "fos_buckling": 1.5330623400471755,
      "fos_yielding": 2.6445319631520023,
      "deflection": 0.003951565435029435,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002742)"
      },
      "parent_node_id": "node_2697",
      "improvement_over_parent": null
    },
    "node_2699": {
      "node_id": "node_2699",
      "content": "MODIFICATION: Increase 9 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0043)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 258.04 kg\n  Factor of Safety: 1.53\n  Max Deflection: 3.93e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.04426305239474,
      "fos_buckling": 1.5311236481800277,
      "fos_yielding": 2.651361893911932,
      "deflection": 0.003930638892043254,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.183)"
      },
      "parent_node_id": "node_2698",
      "improvement_over_parent": null
    },
    "node_2700": {
      "node_id": "node_2700",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2699",
      "improvement_over_parent": null
    },
    "node_2701": {
      "node_id": "node_2701",
      "content": "INITIAL DESIGN (Trace 387)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 186.58 kg\n  Factor of Safety: 0.05\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": 186.58214411664736,
      "fos_buckling": 0.05075402489735486,
      "fos_yielding": 0.6592611903609998,
      "deflection": 0.024432398980741978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2702": {
      "node_id": "node_2702",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n  Mass: 215.51 kg\n  Factor of Safety: 0.36\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.51172504687665,
      "fos_buckling": 0.36487118296716414,
      "fos_yielding": 2.2176863167180683,
      "deflection": 0.004819689670475991,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005299)"
      },
      "parent_node_id": "node_2701",
      "improvement_over_parent": null
    },
    "node_2703": {
      "node_id": "node_2703",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 222.61 kg\n  Factor of Safety: 0.43\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.60969198065212,
      "fos_buckling": 0.4257179585795305,
      "fos_yielding": 2.2493212501316706,
      "deflection": 0.0049796988943512045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002912)"
      },
      "parent_node_id": "node_2702",
      "improvement_over_parent": null
    },
    "node_2704": {
      "node_id": "node_2704",
      "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n\nPerformance:\n  Mass: 224.17 kg\n  Factor of Safety: 0.43\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.1695388486675,
      "fos_buckling": 0.431545647064431,
      "fos_yielding": 2.251898385600315,
      "deflection": 0.004939186956716616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.282)"
      },
      "parent_node_id": "node_2703",
      "improvement_over_parent": null
    },
    "node_2705": {
      "node_id": "node_2705",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n\nPerformance:\n  Mass: 233.20 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.37e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.20068891555803,
      "fos_buckling": 1.4203182245315686,
      "fos_yielding": 2.4017320064856857,
      "deflection": 0.00436689747067595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003285)"
      },
      "parent_node_id": "node_2704",
      "improvement_over_parent": null
    },
    "node_2706": {
      "node_id": "node_2706",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.60259314180854,
      "fos_buckling": 1.5410708163100642,
      "fos_yielding": 2.6500940454507127,
      "deflection": 0.0039587960840029935,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2705",
      "improvement_over_parent": null
    },
    "node_2707": {
      "node_id": "node_2707",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2706",
      "improvement_over_parent": null
    },
    "node_2708": {
      "node_id": "node_2708",
      "content": "INITIAL DESIGN (Trace 388)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n\nPerformance:\n  Mass: 178.38 kg\n  Factor of Safety: 0.53\n  Max Deflection: 6.72e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.37849446493453,
      "fos_buckling": 0.5330134965544097,
      "fos_yielding": 1.8713194608731065,
      "deflection": 0.006720770801339077,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2709": {
      "node_id": "node_2709",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 199.36 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.36106945968305,
      "fos_buckling": 0.5854163297821283,
      "fos_yielding": 2.088005125597919,
      "deflection": 0.00602167956714052,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.127)"
      },
      "parent_node_id": "node_2708",
      "improvement_over_parent": null
    },
    "node_2710": {
      "node_id": "node_2710",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 217.30 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.29647112461095,
      "fos_buckling": 1.338883614097328,
      "fos_yielding": 2.2395494234677473,
      "deflection": 0.004682240317366652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004004)"
      },
      "parent_node_id": "node_2709",
      "improvement_over_parent": null
    },
    "node_2711": {
      "node_id": "node_2711",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.46 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4594095486434,
      "fos_buckling": 1.5404736489516846,
      "fos_yielding": 2.6486248149325853,
      "deflection": 0.003960982181884419,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.203)"
      },
      "parent_node_id": "node_2710",
      "improvement_over_parent": null
    },
    "node_2712": {
      "node_id": "node_2712",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2711",
      "improvement_over_parent": null
    },
    "node_2713": {
      "node_id": "node_2713",
      "content": "INITIAL DESIGN (Trace 389)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 182.97 kg\n  Factor of Safety: 0.75\n  Max Deflection: 5.66e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.969160903691,
      "fos_buckling": 0.7508334261919205,
      "fos_yielding": 1.8970926991330337,
      "deflection": 0.005660998186178662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2714": {
      "node_id": "node_2714",
      "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 184.39 kg\n  Factor of Safety: 0.75\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.38611359939418,
      "fos_buckling": 0.750802754873646,
      "fos_yielding": 1.8970155487632268,
      "deflection": 0.0056282896168338,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.597)"
      },
      "parent_node_id": "node_2713",
      "improvement_over_parent": null
    },
    "node_2715": {
      "node_id": "node_2715",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 232.72 kg\n  Factor of Safety: 0.91\n  Max Deflection: 4.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.72045778053072,
      "fos_buckling": 0.9118138264037589,
      "fos_yielding": 2.3871126750755685,
      "deflection": 0.0044724112965177825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_2714",
      "improvement_over_parent": null
    },
    "node_2716": {
      "node_id": "node_2716",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 250.76 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.7629939832784,
      "fos_buckling": 1.418506791261495,
      "fos_yielding": 2.6540772744958785,
      "deflection": 0.004028900428915421,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)"
      },
      "parent_node_id": "node_2715",
      "improvement_over_parent": null
    },
    "node_2717": {
      "node_id": "node_2717",
      "content": "MODIFICATION: Increase 14 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 253.96 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.95897725431544,
      "fos_buckling": 1.417942424214077,
      "fos_yielding": 2.649240105805495,
      "deflection": 0.004003854029390724,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.221)"
      },
      "parent_node_id": "node_2716",
      "improvement_over_parent": null
    },
    "node_2718": {
      "node_id": "node_2718",
      "content": "MODIFICATION: Increase 20 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0054)]\n\nPerformance:\n  Mass: 257.36 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.36251300010986,
      "fos_buckling": 1.4062747493038321,
      "fos_yielding": 2.6457092678972005,
      "deflection": 0.003985878592271831,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.212)"
      },
      "parent_node_id": "node_2717",
      "improvement_over_parent": null
    },
    "node_2719": {
      "node_id": "node_2719",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2718",
      "improvement_over_parent": null
    },
    "node_2720": {
      "node_id": "node_2720",
      "content": "INITIAL DESIGN (Trace 390)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 191.44 kg\n  Factor of Safety: 0.74\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.44498545820576,
      "fos_buckling": 0.7418586618068154,
      "fos_yielding": 2.0204054936124227,
      "deflection": 0.00600792790851137,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2721": {
      "node_id": "node_2721",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n  Mass: 195.05 kg\n  Factor of Safety: 1.22\n  Max Deflection: 5.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.05389396959887,
      "fos_buckling": 1.223346128513866,
      "fos_yielding": 2.035032553799675,
      "deflection": 0.005181913144823753,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002223)"
      },
      "parent_node_id": "node_2720",
      "improvement_over_parent": null
    },
    "node_2722": {
      "node_id": "node_2722",
      "content": "MODIFICATION: Increase 17 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n\nPerformance:\n  Mass: 197.68 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.68403592279677,
      "fos_buckling": 1.230649731194831,
      "fos_yielding": 2.0370278188755546,
      "deflection": 0.005131867439423752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.178)"
      },
      "parent_node_id": "node_2721",
      "improvement_over_parent": null
    },
    "node_2723": {
      "node_id": "node_2723",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 224.69 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.6896170532085,
      "fos_buckling": 1.3721014846465494,
      "fos_yielding": 2.3125759447012153,
      "deflection": 0.004522126499659127,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_2722",
      "improvement_over_parent": null
    },
    "node_2724": {
      "node_id": "node_2724",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0056)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 258.20 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.20461074390744,
      "fos_buckling": 1.5388195897156276,
      "fos_yielding": 2.6536505571986155,
      "deflection": 0.003942775839402573,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.164)"
      },
      "parent_node_id": "node_2723",
      "improvement_over_parent": null
    },
    "node_2725": {
      "node_id": "node_2725",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2724",
      "improvement_over_parent": null
    },
    "node_2726": {
      "node_id": "node_2726",
      "content": "INITIAL DESIGN (Trace 391)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 153.14 kg\n  Factor of Safety: 0.33\n  Max Deflection: 8.23e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.1425463426206,
      "fos_buckling": 0.3299268449501551,
      "fos_yielding": 1.2909867055209665,
      "deflection": 0.008228276274563807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2727": {
      "node_id": "node_2727",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 167.55 kg\n  Factor of Safety: 0.76\n  Max Deflection: 6.27e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.54938465347257,
      "fos_buckling": 0.7640196917265396,
      "fos_yielding": 1.3755896012713844,
      "deflection": 0.0062679308029280414,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003167)"
      },
      "parent_node_id": "node_2726",
      "improvement_over_parent": null
    },
    "node_2728": {
      "node_id": "node_2728",
      "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 168.89 kg\n  Factor of Safety: 0.76\n  Max Deflection: 6.24e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.89169546161585,
      "fos_buckling": 0.7637478977753153,
      "fos_yielding": 1.3751002461709316,
      "deflection": 0.00623923640467155,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.222)"
      },
      "parent_node_id": "node_2727",
      "improvement_over_parent": null
    },
    "node_2729": {
      "node_id": "node_2729",
      "content": "MODIFICATION: Increase 11 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0016)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.79 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.22e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.78650816632356,
      "fos_buckling": 0.769946120993908,
      "fos_yielding": 1.386259921108874,
      "deflection": 0.006219830929462319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.263)"
      },
      "parent_node_id": "node_2728",
      "improvement_over_parent": null
    },
    "node_2730": {
      "node_id": "node_2730",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 209.53 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.05e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.52802089600578,
      "fos_buckling": 0.9368764803855815,
      "fos_yielding": 1.7151814977521505,
      "deflection": 0.005048340456974514,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.252)"
      },
      "parent_node_id": "node_2729",
      "improvement_over_parent": null
    },
    "node_2731": {
      "node_id": "node_2731",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.63 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.23e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.62505230911876,
      "fos_buckling": 1.1041991854636732,
      "fos_yielding": 2.0577835817154377,
      "deflection": 0.004227466601927036,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_2730",
      "improvement_over_parent": null
    },
    "node_2732": {
      "node_id": "node_2732",
      "content": "MODIFICATION: Increase 6 thickness by 65%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.84 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.83928509403646,
      "fos_buckling": 1.2261668400923815,
      "fos_yielding": 2.6475073250677137,
      "deflection": 0.004011044535806333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.650)"
      },
      "parent_node_id": "node_2731",
      "improvement_over_parent": null
    },
    "node_2733": {
      "node_id": "node_2733",
      "content": "MODIFICATION: Increase 12 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50909690956166,
      "fos_buckling": 1.540693557340134,
      "fos_yielding": 2.649136264160833,
      "deflection": 0.003960279383994122,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.565)"
      },
      "parent_node_id": "node_2732",
      "improvement_over_parent": null
    },
    "node_2734": {
      "node_id": "node_2734",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2733",
      "improvement_over_parent": null
    },
    "node_2735": {
      "node_id": "node_2735",
      "content": "INITIAL DESIGN (Trace 392)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 190.48 kg\n  Factor of Safety: 0.73\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.48269219980753,
      "fos_buckling": 0.7277410526042237,
      "fos_yielding": 1.834983919842664,
      "deflection": 0.00613261407746304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2736": {
      "node_id": "node_2736",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 206.07 kg\n  Factor of Safety: 0.73\n  Max Deflection: 5.64e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.07308243529403,
      "fos_buckling": 0.7272026029772881,
      "fos_yielding": 1.8336262303134883,
      "deflection": 0.005639939394057836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003785)"
      },
      "parent_node_id": "node_2735",
      "improvement_over_parent": null
    },
    "node_2737": {
      "node_id": "node_2737",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n  Mass: 209.10 kg\n  Factor of Safety: 1.00\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.104449626345,
      "fos_buckling": 0.9974437137171988,
      "fos_yielding": 2.285796531059798,
      "deflection": 0.004847784951952224,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001787)"
      },
      "parent_node_id": "node_2736",
      "improvement_over_parent": null
    },
    "node_2738": {
      "node_id": "node_2738",
      "content": "MODIFICATION: Increase 14 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n  Mass: 211.77 kg\n  Factor of Safety: 1.00\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.7698401431908,
      "fos_buckling": 0.9990427840833682,
      "fos_yielding": 2.2737046711519686,
      "deflection": 0.004808038060372462,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.248)"
      },
      "parent_node_id": "node_2737",
      "improvement_over_parent": null
    },
    "node_2739": {
      "node_id": "node_2739",
      "content": "MODIFICATION: Increase 13 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0041)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n\nPerformance:\n  Mass: 218.21 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.73e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.2105028628778,
      "fos_buckling": 0.9226150332227995,
      "fos_yielding": 2.2646120510989314,
      "deflection": 0.004732818525417274,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.529)"
      },
      "parent_node_id": "node_2738",
      "improvement_over_parent": null
    },
    "node_2740": {
      "node_id": "node_2740",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n  Mass: 252.36 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.3604669254724,
      "fos_buckling": 1.054777617410765,
      "fos_yielding": 2.615580659828329,
      "deflection": 0.004098544043546342,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.172)"
      },
      "parent_node_id": "node_2739",
      "improvement_over_parent": null
    },
    "node_2741": {
      "node_id": "node_2741",
      "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0062)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0056)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0048)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n  Mass: 256.19 kg\n  Factor of Safety: 1.06\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.19023055250705,
      "fos_buckling": 1.0636845702072186,
      "fos_yielding": 2.639399648004309,
      "deflection": 0.0039892875235809245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.462)"
      },
      "parent_node_id": "node_2740",
      "improvement_over_parent": null
    },
    "node_2742": {
      "node_id": "node_2742",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2741",
      "improvement_over_parent": null
    },
    "node_2743": {
      "node_id": "node_2743",
      "content": "INITIAL DESIGN (Trace 393)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 211.24 kg\n  Factor of Safety: 0.59\n  Max Deflection: 8.34e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.2391467051092,
      "fos_buckling": 0.5921185262196911,
      "fos_yielding": 1.259620395913652,
      "deflection": 8336358538817.975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2744": {
      "node_id": "node_2744",
      "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 212.97 kg\n  Factor of Safety: 0.50\n  Max Deflection: 4.00e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.9651787119385,
      "fos_buckling": 0.5022201258080895,
      "fos_yielding": 2.3402216890061305,
      "deflection": 3997733408211.9277,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.195)"
      },
      "parent_node_id": "node_2743",
      "improvement_over_parent": null
    },
    "node_2745": {
      "node_id": "node_2745",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 226.71 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.77e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 226.71464717812592,
      "fos_buckling": 0.04905604616597742,
      "fos_yielding": 0.6480616609044959,
      "deflection": 0.017693057067623242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2744",
      "improvement_over_parent": null
    },
    "node_2746": {
      "node_id": "node_2746",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.97 kg\n  Factor of Safety: 0.05\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": 247.96977326001806,
      "fos_buckling": 0.04903957708865609,
      "fos_yielding": 0.647844093888061,
      "deflection": 0.016003123650172528,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2745",
      "improvement_over_parent": null
    },
    "node_2747": {
      "node_id": "node_2747",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53291423923787,
      "fos_buckling": 1.5408503741807256,
      "fos_yielding": 2.6493538070786435,
      "deflection": 0.0039599051758844005,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2746",
      "improvement_over_parent": null
    },
    "node_2748": {
      "node_id": "node_2748",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2747",
      "improvement_over_parent": null
    },
    "node_2749": {
      "node_id": "node_2749",
      "content": "INITIAL DESIGN (Trace 394)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 172.87 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.86505298527806,
      "fos_buckling": 0.9657577384918012,
      "fos_yielding": 1.822518214150088,
      "deflection": 0.0058305148829488965,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2750": {
      "node_id": "node_2750",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n  Mass: 177.44 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 177.44272571344902,
      "fos_buckling": 1.1248017344866121,
      "fos_yielding": 1.832144320595627,
      "deflection": 0.005720692571583587,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001999)"
      },
      "parent_node_id": "node_2749",
      "improvement_over_parent": null
    },
    "node_2751": {
      "node_id": "node_2751",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 211.23 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.23101300265873,
      "fos_buckling": 1.3072094763188744,
      "fos_yielding": 2.1776489841798705,
      "deflection": 0.0048150075121845826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.205)"
      },
      "parent_node_id": "node_2750",
      "improvement_over_parent": null
    },
    "node_2752": {
      "node_id": "node_2752",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.58887939103954,
      "fos_buckling": 1.541104559215966,
      "fos_yielding": 2.649951842805341,
      "deflection": 0.003959023681222321,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2751",
      "improvement_over_parent": null
    },
    "node_2753": {
      "node_id": "node_2753",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2752",
      "improvement_over_parent": null
    },
    "node_2754": {
      "node_id": "node_2754",
      "content": "INITIAL DESIGN (Trace 395)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 186.57 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.57362306933823,
      "fos_buckling": 0.7722185448389827,
      "fos_yielding": 1.8957660641122465,
      "deflection": 0.006021437308322542,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2755": {
      "node_id": "node_2755",
      "content": "MODIFICATION: Increase 6 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 187.22 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.21604803586916,
      "fos_buckling": 0.7722106905443088,
      "fos_yielding": 1.895746782128669,
      "deflection": 0.0060041732247377265,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.227)"
      },
      "parent_node_id": "node_2754",
      "improvement_over_parent": null
    },
    "node_2756": {
      "node_id": "node_2756",
      "content": "MODIFICATION: Increase 13 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 191.63 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.01e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.63452131088923,
      "fos_buckling": 0.7720486652880169,
      "fos_yielding": 1.8953490165162585,
      "deflection": 0.006005234189115103,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.453)"
      },
      "parent_node_id": "node_2755",
      "improvement_over_parent": null
    },
    "node_2757": {
      "node_id": "node_2757",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.06 kg\n  Factor of Safety: 0.96\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.05530853760231,
      "fos_buckling": 0.9632007501569212,
      "fos_yielding": 2.4265867922746653,
      "deflection": 0.004689174311618028,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_2756",
      "improvement_over_parent": null
    },
    "node_2758": {
      "node_id": "node_2758",
      "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.47 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.47428053176102,
      "fos_buckling": 1.1628419618584802,
      "fos_yielding": 2.42584910615398,
      "deflection": 0.004483019052663161,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.276)"
      },
      "parent_node_id": "node_2757",
      "improvement_over_parent": null
    },
    "node_2759": {
      "node_id": "node_2759",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.48 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.47750714042735,
      "fos_buckling": 1.540873280686622,
      "fos_yielding": 2.64876773901905,
      "deflection": 0.00396070038025095,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2758",
      "improvement_over_parent": null
    },
    "node_2760": {
      "node_id": "node_2760",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2759",
      "improvement_over_parent": null
    },
    "node_2761": {
      "node_id": "node_2761",
      "content": "INITIAL DESIGN (Trace 396)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 136.24 kg\n  Factor of Safety: 0.48\n  Max Deflection: 9.13e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.2434601737491,
      "fos_buckling": 0.482922804977452,
      "fos_yielding": 1.5121713393284237,
      "deflection": 0.009133705943733637,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2762": {
      "node_id": "node_2762",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 150.53 kg\n  Factor of Safety: 0.60\n  Max Deflection: 7.98e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.53024188369608,
      "fos_buckling": 0.5982394825291414,
      "fos_yielding": 1.4671559365349705,
      "deflection": 0.007981975581206065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003139)"
      },
      "parent_node_id": "node_2761",
      "improvement_over_parent": null
    },
    "node_2763": {
      "node_id": "node_2763",
      "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 152.48 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.80e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 152.48203333508752,
      "fos_buckling": 0.5032372006944186,
      "fos_yielding": 1.4531661986121045,
      "deflection": 0.007796936140754076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.623)"
      },
      "parent_node_id": "node_2762",
      "improvement_over_parent": null
    },
    "node_2764": {
      "node_id": "node_2764",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n\nPerformance:\n  Mass: 165.31 kg\n  Factor of Safety: 0.35\n  Max Deflection: 6.83e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.3140790270605,
      "fos_buckling": 0.35073231909272967,
      "fos_yielding": 1.4161115447013557,
      "deflection": 0.006827059342966215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002975)"
      },
      "parent_node_id": "node_2763",
      "improvement_over_parent": null
    },
    "node_2765": {
      "node_id": "node_2765",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 201.43 kg\n  Factor of Safety: 0.42\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.4250962631273,
      "fos_buckling": 0.41705287967664184,
      "fos_yielding": 1.7267022232075993,
      "deflection": 0.005611329928526899,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_2764",
      "improvement_over_parent": null
    },
    "node_2766": {
      "node_id": "node_2766",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 246.21 kg\n  Factor of Safety: 0.49\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.20555373015821,
      "fos_buckling": 0.4941059618404307,
      "fos_yielding": 2.112866774134938,
      "deflection": 0.004598935039716602,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_2765",
      "improvement_over_parent": null
    },
    "node_2767": {
      "node_id": "node_2767",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 256.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 4.06e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.17730712885384,
      "fos_buckling": 1.5384866137664035,
      "fos_yielding": 2.25744018472521,
      "deflection": 0.00405878576735821,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.77 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7705601432639,
      "fos_buckling": 1.5420699824278783,
      "fos_yielding": 2.651530430591992,
      "deflection": 0.003956369995016823,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.200)"
      },
      "parent_node_id": "node_2767",
      "improvement_over_parent": null
    },
    "node_2769": {
      "node_id": "node_2769",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2768",
      "improvement_over_parent": null
    },
    "node_2770": {
      "node_id": "node_2770",
      "content": "INITIAL DESIGN (Trace 397)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 176.84 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.83578656813978,
      "fos_buckling": 1.122330088297317,
      "fos_yielding": 1.4644050011303107,
      "deflection": 0.0059095761985347665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2771": {
      "node_id": "node_2771",
      "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 178.35 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.34884654723223,
      "fos_buckling": 1.1298494057462396,
      "fos_yielding": 1.8401098465119132,
      "deflection": 0.005692366086881928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.285)"
      },
      "parent_node_id": "node_2770",
      "improvement_over_parent": null
    },
    "node_2772": {
      "node_id": "node_2772",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 220.93 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.9261754430813,
      "fos_buckling": 1.35771618544997,
      "fos_yielding": 2.2749946246635075,
      "deflection": 0.004606630451549807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2771",
      "improvement_over_parent": null
    },
    "node_2773": {
      "node_id": "node_2773",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52988209183485,
      "fos_buckling": 1.5408476450528863,
      "fos_yielding": 2.6475250730682793,
      "deflection": 0.003960212166737321,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_2772",
      "improvement_over_parent": null
    },
    "node_2774": {
      "node_id": "node_2774",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2773",
      "improvement_over_parent": null
    },
    "node_2775": {
      "node_id": "node_2775",
      "content": "INITIAL DESIGN (Trace 398)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 115.73 kg\n  Factor of Safety: 0.13\n  Max Deflection: 1.38e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.73114669093755,
      "fos_buckling": 0.1314854898065228,
      "fos_yielding": 0.41987346530455066,
      "deflection": 13758731333292.252,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2776": {
      "node_id": "node_2776",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n\nPerformance:\n  Mass: 126.27 kg\n  Factor of Safety: 0.42\n  Max Deflection: 9.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.27195221990254,
      "fos_buckling": 0.42347034374314235,
      "fos_yielding": 1.33560309186004,
      "deflection": 0.009163561523755222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002494)"
      },
      "parent_node_id": "node_2775",
      "improvement_over_parent": null
    },
    "node_2777": {
      "node_id": "node_2777",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0010)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n\nPerformance:\n  Mass: 138.51 kg\n  Factor of Safety: 0.59\n  Max Deflection: 7.98e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 138.51135234819904,
      "fos_buckling": 0.5866734277157891,
      "fos_yielding": 1.537889397508498,
      "deflection": 0.007983181062619629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002687)"
      },
      "parent_node_id": "node_2776",
      "improvement_over_parent": null
    },
    "node_2778": {
      "node_id": "node_2778",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n  Mass: 159.03 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.96e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.03039449681484,
      "fos_buckling": 0.6627139692661159,
      "fos_yielding": 1.7639408796212876,
      "deflection": 0.006960853653258213,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.157)"
      },
      "parent_node_id": "node_2777",
      "improvement_over_parent": null
    },
    "node_2779": {
      "node_id": "node_2779",
      "content": "MODIFICATION: Increase 11 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n  Mass: 160.65 kg\n  Factor of Safety: 0.66\n  Max Deflection: 6.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.6546438618852,
      "fos_buckling": 0.6625292143465866,
      "fos_yielding": 1.7709930990616432,
      "deflection": 0.006792598512794157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.608)"
      },
      "parent_node_id": "node_2778",
      "improvement_over_parent": null
    },
    "node_2780": {
      "node_id": "node_2780",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 172.73 kg\n  Factor of Safety: 1.10\n  Max Deflection: 5.88e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.72842364124367,
      "fos_buckling": 1.098518895957497,
      "fos_yielding": 1.7837937715435275,
      "deflection": 0.005875324369484356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002883)"
      },
      "parent_node_id": "node_2779",
      "improvement_over_parent": null
    },
    "node_2781": {
      "node_id": "node_2781",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 219.12 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.1189236076492,
      "fos_buckling": 1.3483075119686243,
      "fos_yielding": 2.258080462835529,
      "deflection": 0.00464386474705653,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2780",
      "improvement_over_parent": null
    },
    "node_2782": {
      "node_id": "node_2782",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.42221487593525,
      "fos_buckling": 1.5402601296026515,
      "fos_yielding": 2.6481729229932784,
      "deflection": 0.003961612376946866,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_2781",
      "improvement_over_parent": null
    },
    "node_2783": {
      "node_id": "node_2783",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2782",
      "improvement_over_parent": null
    },
    "node_2784": {
      "node_id": "node_2784",
      "content": "INITIAL DESIGN (Trace 399)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 144.37 kg\n  Factor of Safety: 0.38\n  Max Deflection: 5.10e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 144.37149250352377,
      "fos_buckling": 0.381585024745142,
      "fos_yielding": 1.6794938612182022,
      "deflection": 5103424324068.307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2785": {
      "node_id": "node_2785",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n  Mass: 152.97 kg\n  Factor of Safety: 0.03\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": 152.96645052614195,
      "fos_buckling": 0.0328540474504572,
      "fos_yielding": 0.40653275865464517,
      "deflection": 0.025733276328212658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002338)"
      },
      "parent_node_id": "node_2784",
      "improvement_over_parent": null
    },
    "node_2786": {
      "node_id": "node_2786",
      "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n  Mass: 153.99 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.57e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.99059966040465,
      "fos_buckling": 0.0328540474504572,
      "fos_yielding": 0.40653275865464517,
      "deflection": 0.025718376789374553,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.189)"
      },
      "parent_node_id": "node_2785",
      "improvement_over_parent": null
    },
    "node_2787": {
      "node_id": "node_2787",
      "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n\nPerformance:\n  Mass: 154.98 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.55e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.98444474390396,
      "fos_buckling": 0.03285249413749353,
      "fos_yielding": 0.4065135381124845,
      "deflection": 0.025476276928478654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.238)"
      },
      "parent_node_id": "node_2786",
      "improvement_over_parent": null
    },
    "node_2788": {
      "node_id": "node_2788",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n\nPerformance:\n  Mass: 160.96 kg\n  Factor of Safety: 1.03\n  Max Deflection: 6.30e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.96156972916322,
      "fos_buckling": 1.0321576055008501,
      "fos_yielding": 1.6631917462267878,
      "deflection": 0.0063002577290045,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002553)"
      },
      "parent_node_id": "node_2787",
      "improvement_over_parent": null
    },
    "node_2789": {
      "node_id": "node_2789",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 199.87 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.8723467094296,
      "fos_buckling": 1.247008511104863,
      "fos_yielding": 2.0615763999654235,
      "deflection": 0.005085166459729755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.259)"
      },
      "parent_node_id": "node_2788",
      "improvement_over_parent": null
    },
    "node_2790": {
      "node_id": "node_2790",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.41579848764235,
      "fos_buckling": 1.540260236845758,
      "fos_yielding": 2.6481386156136217,
      "deflection": 0.003961540311958628,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_2789",
      "improvement_over_parent": null
    },
    "node_2791": {
      "node_id": "node_2791",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2790",
      "improvement_over_parent": null
    },
    "node_2792": {
      "node_id": "node_2792",
      "content": "INITIAL DESIGN (Trace 400)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 240.16 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.15e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.16355464618422,
      "fos_buckling": 0.45331477309346635,
      "fos_yielding": 1.424828458565088,
      "deflection": 0.011537745739796157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2793": {
      "node_id": "node_2793",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 248.80 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.80041817383778,
      "fos_buckling": 1.2874366713037992,
      "fos_yielding": 2.6638337274162955,
      "deflection": 0.004017355282796669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_2792",
      "improvement_over_parent": null
    },
    "node_2794": {
      "node_id": "node_2794",
      "content": "MODIFICATION: Increase 17 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 254.54 kg\n  Factor of Safety: 1.27\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.5405341352046,
      "fos_buckling": 1.2652762102438984,
      "fos_yielding": 2.666699323542372,
      "deflection": 0.003958685826743658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.311)"
      },
      "parent_node_id": "node_2793",
      "improvement_over_parent": null
    },
    "node_2795": {
      "node_id": "node_2795",
      "content": "MODIFICATION: Increase 16 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 260.01 kg\n  Factor of Safety: 1.29\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.01242293236186,
      "fos_buckling": 1.292360012966877,
      "fos_yielding": 2.6604797226696535,
      "deflection": 0.003923717511324721,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.431)"
      },
      "parent_node_id": "node_2794",
      "improvement_over_parent": null
    },
    "node_2796": {
      "node_id": "node_2796",
      "content": "MODIFICATION: Increase 12 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0083)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0063)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 271.25 kg\n  Factor of Safety: 1.29\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 271.24568933259894,
      "fos_buckling": 1.2906844466086926,
      "fos_yielding": 2.6696944470413735,
      "deflection": 0.0038245589190705792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.403)"
      },
      "parent_node_id": "node_2795",
      "improvement_over_parent": null
    },
    "node_2797": {
      "node_id": "node_2797",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2796",
      "improvement_over_parent": null
    },
    "node_2798": {
      "node_id": "node_2798",
      "content": "INITIAL DESIGN (Trace 401)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.79 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.78604026255644,
      "fos_buckling": 1.2241724733772494,
      "fos_yielding": 2.71968861992944,
      "deflection": 0.004017422446975173,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2799": {
      "node_id": "node_2799",
      "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 244.17 kg\n  Factor of Safety: 1.22\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.17168431672295,
      "fos_buckling": 1.224172473377249,
      "fos_yielding": 2.7196886199294408,
      "deflection": 0.00398906609983571,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.289)"
      },
      "parent_node_id": "node_2798",
      "improvement_over_parent": null
    },
    "node_2800": {
      "node_id": "node_2800",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 250.73 kg\n  Factor of Safety: 1.25\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.73047250487255,
      "fos_buckling": 1.2482924735616223,
      "fos_yielding": 2.641342051889165,
      "deflection": 0.004068979799060635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2799",
      "improvement_over_parent": null
    },
    "node_2801": {
      "node_id": "node_2801",
      "content": "MODIFICATION: Increase 18 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0068)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 258.90 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.8953868253948,
      "fos_buckling": 1.2295336169654036,
      "fos_yielding": 2.642215167687022,
      "deflection": 0.004024475107534714,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.527)"
      },
      "parent_node_id": "node_2800",
      "improvement_over_parent": null
    },
    "node_2802": {
      "node_id": "node_2802",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2801",
      "improvement_over_parent": null
    },
    "node_2803": {
      "node_id": "node_2803",
      "content": "INITIAL DESIGN (Trace 402)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 132.03 kg\n  Factor of Safety: 0.04\n  Max Deflection: 1.83e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.0270484054909,
      "fos_buckling": 0.042030574811894796,
      "fos_yielding": 0.5029358554126296,
      "deflection": 0.01829908464754805,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2804": {
      "node_id": "node_2804",
      "content": "MODIFICATION: Increase 12 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 136.08 kg\n  Factor of Safety: 0.04\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": 136.0808025543145,
      "fos_buckling": 0.042025638367207116,
      "fos_yielding": 0.5028767861507218,
      "deflection": 0.018242702368250832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.279)"
      },
      "parent_node_id": "node_2803",
      "improvement_over_parent": null
    },
    "node_2805": {
      "node_id": "node_2805",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n\nPerformance:\n  Mass: 148.77 kg\n  Factor of Safety: 0.25\n  Max Deflection: 7.34e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.77407740123533,
      "fos_buckling": 0.2488051205518208,
      "fos_yielding": 1.5277799466614603,
      "deflection": 0.0073428642076176324,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002792)"
      },
      "parent_node_id": "node_2804",
      "improvement_over_parent": null
    },
    "node_2806": {
      "node_id": "node_2806",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n\nPerformance:\n  Mass: 168.12 kg\n  Factor of Safety: 0.28\n  Max Deflection: 6.50e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.1174993268289,
      "fos_buckling": 0.2791923769435497,
      "fos_yielding": 1.7247974406069642,
      "deflection": 0.006504696899347009,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.138)"
      },
      "parent_node_id": "node_2805",
      "improvement_over_parent": null
    },
    "node_2807": {
      "node_id": "node_2807",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n\nPerformance:\n  Mass: 215.50 kg\n  Factor of Safety: 0.35\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.49597371237397,
      "fos_buckling": 0.3516449659406718,
      "fos_yielding": 2.2057671485612484,
      "deflection": 0.005087417445705146,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2806",
      "improvement_over_parent": null
    },
    "node_2808": {
      "node_id": "node_2808",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 224.25 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.2457896379449,
      "fos_buckling": 1.372632479867756,
      "fos_yielding": 2.3377074628686922,
      "deflection": 0.004491453546525909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003174)"
      },
      "parent_node_id": "node_2807",
      "improvement_over_parent": null
    },
    "node_2809": {
      "node_id": "node_2809",
      "content": "MODIFICATION: Increase 16 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0056)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n\nPerformance:\n  Mass: 230.61 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.45e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 230.6050499062,
      "fos_buckling": 1.2712241645736995,
      "fos_yielding": 2.332563702679886,
      "deflection": 0.0044509607188691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.453)"
      },
      "parent_node_id": "node_2808",
      "improvement_over_parent": null
    },
    "node_2810": {
      "node_id": "node_2810",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0064)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 262.58 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.92e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 262.5840983615178,
      "fos_buckling": 1.441002285494807,
      "fos_yielding": 2.6533636321993215,
      "deflection": 0.003915027447241425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_2809",
      "improvement_over_parent": null
    },
    "node_2811": {
      "node_id": "node_2811",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2810",
      "improvement_over_parent": null
    },
    "node_2812": {
      "node_id": "node_2812",
      "content": "INITIAL DESIGN (Trace 403)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 162.12 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.11763972208985,
      "fos_buckling": 0.675809542645154,
      "fos_yielding": 1.5298306369722385,
      "deflection": 0.006801810230065759,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2813": {
      "node_id": "node_2813",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 174.46 kg\n  Factor of Safety: 0.87\n  Max Deflection: 5.95e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.45949314244368,
      "fos_buckling": 0.8684863163900364,
      "fos_yielding": 1.5403341470167973,
      "deflection": 0.005946150272492962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002951)"
      },
      "parent_node_id": "node_2812",
      "improvement_over_parent": null
    },
    "node_2814": {
      "node_id": "node_2814",
      "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n\nPerformance:\n  Mass: 175.52 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.51875454673552,
      "fos_buckling": 1.1176956063972168,
      "fos_yielding": 1.5408584001249477,
      "deflection": 0.005902768264164584,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.517)"
      },
      "parent_node_id": "node_2813",
      "improvement_over_parent": null
    },
    "node_2815": {
      "node_id": "node_2815",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 212.19 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.89e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.18599527074787,
      "fos_buckling": 1.3161650408432608,
      "fos_yielding": 1.8637300960094436,
      "deflection": 0.004891483934352669,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2814",
      "improvement_over_parent": null
    },
    "node_2816": {
      "node_id": "node_2816",
      "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 213.54 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.5439328615756,
      "fos_buckling": 1.3193604111974577,
      "fos_yielding": 2.200336027275896,
      "deflection": 0.004763708248904314,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.203)"
      },
      "parent_node_id": "node_2815",
      "improvement_over_parent": null
    },
    "node_2817": {
      "node_id": "node_2817",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.2996614213294,
      "fos_buckling": 1.5397397566939297,
      "fos_yielding": 2.645920698377955,
      "deflection": 0.003963584574359783,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.225)"
      },
      "parent_node_id": "node_2816",
      "improvement_over_parent": null
    },
    "node_2818": {
      "node_id": "node_2818",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2817",
      "improvement_over_parent": null
    },
    "node_2819": {
      "node_id": "node_2819",
      "content": "INITIAL DESIGN (Trace 404)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 206.02 kg\n  Factor of Safety: 0.35\n  Max Deflection: 7.44e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.0163608874308,
      "fos_buckling": 0.34594400658944563,
      "fos_yielding": 1.2596203959136516,
      "deflection": 7438940688483.715,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2820": {
      "node_id": "node_2820",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 215.99 kg\n  Factor of Safety: 0.45\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": 215.98811428612646,
      "fos_buckling": 0.4538721507949279,
      "fos_yielding": 1.4775924979735022,
      "deflection": 0.012069923897151787,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_2819",
      "improvement_over_parent": null
    },
    "node_2821": {
      "node_id": "node_2821",
      "content": "MODIFICATION: Increase 11 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 222.72 kg\n  Factor of Safety: 0.45\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": 222.7154637904195,
      "fos_buckling": 0.45378468518578086,
      "fos_yielding": 1.4773086922658858,
      "deflection": 0.01207229706584568,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.404)"
      },
      "parent_node_id": "node_2820",
      "improvement_over_parent": null
    },
    "node_2822": {
      "node_id": "node_2822",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 236.46 kg\n  Factor of Safety: 0.45\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": 236.46493225660691,
      "fos_buckling": 0.45324913035390907,
      "fos_yielding": 1.4755709326022457,
      "deflection": 0.01209846793183236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2821",
      "improvement_over_parent": null
    },
    "node_2823": {
      "node_id": "node_2823",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 245.10 kg\n  Factor of Safety: 0.70\n  Max Deflection: 5.14e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 245.10179578426047,
      "fos_buckling": 0.6996853857555488,
      "fos_yielding": 1.7574209142293786,
      "deflection": 0.005136327688184901,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_2822",
      "improvement_over_parent": null
    },
    "node_2824": {
      "node_id": "node_2824",
      "content": "MODIFICATION: Increase 12 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 247.02 kg\n  Factor of Safety: 0.70\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.01588804859804,
      "fos_buckling": 0.6995796526867305,
      "fos_yielding": 1.7571553412872394,
      "deflection": 0.005132617235107621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.332)"
      },
      "parent_node_id": "node_2823",
      "improvement_over_parent": null
    },
    "node_2825": {
      "node_id": "node_2825",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0036)]\n  M13: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M14: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 252.02 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.18e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.01911465726437,
      "fos_buckling": 1.0381206740742863,
      "fos_yielding": 2.5992332314965716,
      "deflection": 0.004181813346981555,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2824",
      "improvement_over_parent": null
    },
    "node_2826": {
      "node_id": "node_2826",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2825",
      "improvement_over_parent": null
    },
    "node_2827": {
      "node_id": "node_2827",
      "content": "INITIAL DESIGN (Trace 405)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.87 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.86748616159028,
      "fos_buckling": 0.9511644439418987,
      "fos_yielding": 1.9197424776444183,
      "deflection": 0.005010352892920107,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2828": {
      "node_id": "node_2828",
      "content": "MODIFICATION: Increase 12 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.52 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.51769262366022,
      "fos_buckling": 0.9511644439418987,
      "fos_yielding": 1.9197424776444183,
      "deflection": 0.004973588632721482,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.357)"
      },
      "parent_node_id": "node_2827",
      "improvement_over_parent": null
    },
    "node_2829": {
      "node_id": "node_2829",
      "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.79 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.79043533912412,
      "fos_buckling": 0.9509915860545891,
      "fos_yielding": 2.517451397065297,
      "deflection": 0.004756083203124353,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.342)"
      },
      "parent_node_id": "node_2828",
      "improvement_over_parent": null
    },
    "node_2830": {
      "node_id": "node_2830",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5399038053115,
      "fos_buckling": 1.5408214857723506,
      "fos_yielding": 2.6493886751147975,
      "deflection": 0.003959729419114514,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2829",
      "improvement_over_parent": null
    },
    "node_2831": {
      "node_id": "node_2831",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 406)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n\nPerformance:\n  Mass: 127.70 kg\n  Factor of Safety: 0.57\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.70127488979296,
      "fos_buckling": 0.5678147841601017,
      "fos_yielding": 1.0935861793864303,
      "deflection": 0.00966612472575351,
      "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: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0025)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0013)]\n\nPerformance:\n  Mass: 132.45 kg\n  Factor of Safety: 0.69\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.45002231306785,
      "fos_buckling": 0.685583105605099,
      "fos_yielding": 1.113898005402701,
      "deflection": 0.008765688059588876,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.001261)"
      },
      "parent_node_id": "node_2832",
      "improvement_over_parent": null
    },
    "node_2834": {
      "node_id": "node_2834",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n\nPerformance:\n  Mass: 169.78 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.77932883072228,
      "fos_buckling": 0.8548463178185867,
      "fos_yielding": 1.4307569940838225,
      "deflection": 0.006849101068539311,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2833",
      "improvement_over_parent": null
    },
    "node_2835": {
      "node_id": "node_2835",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0016)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n\nPerformance:\n  Mass: 173.25 kg\n  Factor of Safety: 0.88\n  Max Deflection: 6.14e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.25283301643003,
      "fos_buckling": 0.8783540147074207,
      "fos_yielding": 1.4420515788585888,
      "deflection": 0.006141858261465767,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002064)"
      },
      "parent_node_id": "node_2834",
      "improvement_over_parent": null
    },
    "node_2836": {
      "node_id": "node_2836",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 204.69 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.68757496137056,
      "fos_buckling": 1.0249664503543237,
      "fos_yielding": 1.7068592551873754,
      "deflection": 0.005204501038047936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_2835",
      "improvement_over_parent": null
    },
    "node_2837": {
      "node_id": "node_2837",
      "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 207.14 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.14102687140328,
      "fos_buckling": 1.0495068966011063,
      "fos_yielding": 2.2059528312543204,
      "deflection": 0.004922134765009406,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.529)"
      },
      "parent_node_id": "node_2836",
      "improvement_over_parent": null
    },
    "node_2838": {
      "node_id": "node_2838",
      "content": "MODIFICATION: Increase 15 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 214.93 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.93220229505246,
      "fos_buckling": 1.0254589792624031,
      "fos_yielding": 2.199789533197833,
      "deflection": 0.004873537921745262,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.595)"
      },
      "parent_node_id": "node_2837",
      "improvement_over_parent": null
    },
    "node_2839": {
      "node_id": "node_2839",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0071)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 261.84 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.8411408849131,
      "fos_buckling": 1.22836748606935,
      "fos_yielding": 2.676423886187747,
      "deflection": 0.004006835433589503,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2838",
      "improvement_over_parent": null
    },
    "node_2840": {
      "node_id": "node_2840",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2839",
      "improvement_over_parent": null
    },
    "node_2841": {
      "node_id": "node_2841",
      "content": "INITIAL DESIGN (Trace 407)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 205.86 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.8556076437715,
      "fos_buckling": 1.270100488582904,
      "fos_yielding": 2.278596929971241,
      "deflection": 0.004842344154072165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2842": {
      "node_id": "node_2842",
      "content": "MODIFICATION: Increase 19 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 211.66 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.66161588571896,
      "fos_buckling": 1.2696487946074346,
      "fos_yielding": 2.280435918722998,
      "deflection": 0.004752174391133537,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.656)"
      },
      "parent_node_id": "node_2841",
      "improvement_over_parent": null
    },
    "node_2843": {
      "node_id": "node_2843",
      "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 214.78 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.77806964569737,
      "fos_buckling": 1.3092839859673198,
      "fos_yielding": 2.2721525239257847,
      "deflection": 0.004691862387753969,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.397)"
      },
      "parent_node_id": "node_2842",
      "improvement_over_parent": null
    },
    "node_2844": {
      "node_id": "node_2844",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.80 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.79842402963956,
      "fos_buckling": 1.493434754190754,
      "fos_yielding": 2.6584468784539546,
      "deflection": 0.004010926665194299,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.189)"
      },
      "parent_node_id": "node_2843",
      "improvement_over_parent": null
    },
    "node_2845": {
      "node_id": "node_2845",
      "content": "MODIFICATION: Increase 14 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4897685700573,
      "fos_buckling": 1.5405830603306458,
      "fos_yielding": 2.6487959540065473,
      "deflection": 0.0039606274755774025,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.466)"
      },
      "parent_node_id": "node_2844",
      "improvement_over_parent": null
    },
    "node_2846": {
      "node_id": "node_2846",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2845",
      "improvement_over_parent": null
    },
    "node_2847": {
      "node_id": "node_2847",
      "content": "INITIAL DESIGN (Trace 408)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 133.89 kg\n  Factor of Safety: 0.28\n  Max Deflection: 8.22e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.89144103931247,
      "fos_buckling": 0.27504091328540553,
      "fos_yielding": 1.3839470544335775,
      "deflection": 0.00821557999421059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2848": {
      "node_id": "node_2848",
      "content": "MODIFICATION: Increase 18 thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 135.61 kg\n  Factor of Safety: 0.28\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.60595926118032,
      "fos_buckling": 0.27919516249582976,
      "fos_yielding": 1.3857151112379988,
      "deflection": 0.008138616222577708,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.217)"
      },
      "parent_node_id": "node_2847",
      "improvement_over_parent": null
    },
    "node_2849": {
      "node_id": "node_2849",
      "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0023)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0021)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0020)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0031)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 136.47 kg\n  Factor of Safety: 0.28\n  Max Deflection: 8.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.4655759698259,
      "fos_buckling": 0.2759471642881457,
      "fos_yielding": 1.3842571906873806,
      "deflection": 0.008089592231528534,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.404)"
      },
      "parent_node_id": "node_2848",
      "improvement_over_parent": null
    },
    "node_2850": {
      "node_id": "node_2850",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 166.32 kg\n  Factor of Safety: 0.33\n  Max Deflection: 6.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.3249451856575,
      "fos_buckling": 0.329991983266091,
      "fos_yielding": 1.6849375804728226,
      "deflection": 0.006647086271445315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_2849",
      "improvement_over_parent": null
    },
    "node_2851": {
      "node_id": "node_2851",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n\nPerformance:\n  Mass: 173.07 kg\n  Factor of Safety: 1.13\n  Max Deflection: 5.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.06934458473265,
      "fos_buckling": 1.1277645480821443,
      "fos_yielding": 1.745279843724978,
      "deflection": 0.0058890381853432755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002401)"
      },
      "parent_node_id": "node_2850",
      "improvement_over_parent": null
    },
    "node_2852": {
      "node_id": "node_2852",
      "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n\nPerformance:\n  Mass: 174.28 kg\n  Factor of Safety: 1.11\n  Max Deflection: 5.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.28298792492072,
      "fos_buckling": 1.1072957607693916,
      "fos_yielding": 1.7997867311172715,
      "deflection": 0.005823508255443351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.290)"
      },
      "parent_node_id": "node_2851",
      "improvement_over_parent": null
    },
    "node_2853": {
      "node_id": "node_2853",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 215.98 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.9756368431073,
      "fos_buckling": 1.3320965644198242,
      "fos_yielding": 2.2260890787152223,
      "deflection": 0.0047106496347178286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2852",
      "improvement_over_parent": null
    },
    "node_2854": {
      "node_id": "node_2854",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.66268996792735,
      "fos_buckling": 1.5415517959007243,
      "fos_yielding": 2.6507131090099025,
      "deflection": 0.003958013195822655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_2853",
      "improvement_over_parent": null
    },
    "node_2855": {
      "node_id": "node_2855",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 409)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 187.53 kg\n  Factor of Safety: 0.89\n  Max Deflection: 5.84e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.52931619162584,
      "fos_buckling": 0.892173147315976,
      "fos_yielding": 1.5111128189475505,
      "deflection": 0.005839112595302865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2857": {
      "node_id": "node_2857",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 240.26 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.2583967745617,
      "fos_buckling": 1.1195337452379037,
      "fos_yielding": 1.9413196453461232,
      "deflection": 0.004562870433775513,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.307)"
      },
      "parent_node_id": "node_2856",
      "improvement_over_parent": null
    },
    "node_2858": {
      "node_id": "node_2858",
      "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 241.55 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.5453002142554,
      "fos_buckling": 1.1230614389117073,
      "fos_yielding": 1.941809471918304,
      "deflection": 0.0045382685445610905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.412)"
      },
      "parent_node_id": "node_2857",
      "improvement_over_parent": null
    },
    "node_2859": {
      "node_id": "node_2859",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 251.38 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.37828575505705,
      "fos_buckling": 1.1249274533288864,
      "fos_yielding": 1.954715774575989,
      "deflection": 0.0043798050059339665,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.488)"
      },
      "parent_node_id": "node_2858",
      "improvement_over_parent": null
    },
    "node_2860": {
      "node_id": "node_2860",
      "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.21 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.20878781084016,
      "fos_buckling": 1.1205425797689073,
      "fos_yielding": 2.0904237126781484,
      "deflection": 0.0041701046680341,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.414)"
      },
      "parent_node_id": "node_2859",
      "improvement_over_parent": null
    },
    "node_2861": {
      "node_id": "node_2861",
      "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.36 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.35999051226247,
      "fos_buckling": 1.540141855994884,
      "fos_yielding": 2.6483817988720566,
      "deflection": 0.003962541566505051,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.631)"
      },
      "parent_node_id": "node_2860",
      "improvement_over_parent": null
    },
    "node_2862": {
      "node_id": "node_2862",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2861",
      "improvement_over_parent": null
    },
    "node_2863": {
      "node_id": "node_2863",
      "content": "INITIAL DESIGN (Trace 410)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 142.70 kg\n  Factor of Safety: 0.45\n  Max Deflection: 7.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 142.69738021057057,
      "fos_buckling": 0.45238949173887355,
      "fos_yielding": 1.5525489779207253,
      "deflection": 0.007867861155580618,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2864": {
      "node_id": "node_2864",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n\nPerformance:\n  Mass: 168.90 kg\n  Factor of Safety: 0.52\n  Max Deflection: 6.66e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.89654510302816,
      "fos_buckling": 0.5237593129417306,
      "fos_yielding": 1.8337820729453822,
      "deflection": 0.006659603192522847,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_2863",
      "improvement_over_parent": null
    },
    "node_2865": {
      "node_id": "node_2865",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n\nPerformance:\n  Mass: 174.70 kg\n  Factor of Safety: 0.52\n  Max Deflection: 6.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.69542933309427,
      "fos_buckling": 0.5235862227140523,
      "fos_yielding": 1.8331743351516456,
      "deflection": 0.006860988391954949,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002342)"
      },
      "parent_node_id": "node_2864",
      "improvement_over_parent": null
    },
    "node_2866": {
      "node_id": "node_2866",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n\nPerformance:\n  Mass: 202.97 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.97057435778757,
      "fos_buckling": 0.5942066425151415,
      "fos_yielding": 2.1251664128831838,
      "deflection": 0.005916143566569644,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.175)"
      },
      "parent_node_id": "node_2865",
      "improvement_over_parent": null
    },
    "node_2867": {
      "node_id": "node_2867",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 236.05 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.04811252873688,
      "fos_buckling": 0.6719377703889277,
      "fos_yielding": 2.4651155768672885,
      "deflection": 0.005098112322049159,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_2866",
      "improvement_over_parent": null
    },
    "node_2868": {
      "node_id": "node_2868",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.303238610629,
      "fos_buckling": 1.5396295771480168,
      "fos_yielding": 2.646802212900739,
      "deflection": 0.003963541782327105,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2867",
      "improvement_over_parent": null
    },
    "node_2869": {
      "node_id": "node_2869",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2868",
      "improvement_over_parent": null
    },
    "node_2870": {
      "node_id": "node_2870",
      "content": "INITIAL DESIGN (Trace 411)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 151.86 kg\n  Factor of Safety: 0.76\n  Max Deflection: 7.54e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.85822129571685,
      "fos_buckling": 0.7581302221060946,
      "fos_yielding": 1.1272532505740933,
      "deflection": 0.007537789784506895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2871": {
      "node_id": "node_2871",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 153.05 kg\n  Factor of Safety: 0.76\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.05462349669452,
      "fos_buckling": 0.7580870779107782,
      "fos_yielding": 1.4761010479657317,
      "deflection": 0.007353025205595108,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.326)"
      },
      "parent_node_id": "node_2870",
      "improvement_over_parent": null
    },
    "node_2872": {
      "node_id": "node_2872",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 184.20 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.1997106154627,
      "fos_buckling": 0.8921844735793206,
      "fos_yielding": 1.7740619292724975,
      "deflection": 0.006120828028277027,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_2871",
      "improvement_over_parent": null
    },
    "node_2873": {
      "node_id": "node_2873",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 203.90 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.89569784070085,
      "fos_buckling": 0.973498505337258,
      "fos_yielding": 1.962074125268086,
      "deflection": 0.005535894053182192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2872",
      "improvement_over_parent": null
    },
    "node_2874": {
      "node_id": "node_2874",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.73 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.73130751506378,
      "fos_buckling": 1.1635058512567324,
      "fos_yielding": 2.426858958109967,
      "deflection": 0.004478843695422936,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_2873",
      "improvement_over_parent": null
    },
    "node_2875": {
      "node_id": "node_2875",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.73 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7345341237301,
      "fos_buckling": 1.5418792462382873,
      "fos_yielding": 2.6515431602555974,
      "deflection": 0.003956815771599377,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2874",
      "improvement_over_parent": null
    },
    "node_2876": {
      "node_id": "node_2876",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 412)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.50 kg\n  Factor of Safety: 0.04\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": 197.5031084529584,
      "fos_buckling": 0.04125156551418911,
      "fos_yielding": 0.5270846196264009,
      "deflection": 0.020027131029823494,
      "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 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n  Mass: 205.27 kg\n  Factor of Safety: 0.78\n  Max Deflection: 5.63e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.2679198825438,
      "fos_buckling": 0.7799811749125618,
      "fos_yielding": 2.1399600266619703,
      "deflection": 0.005625503493048629,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003374)"
      },
      "parent_node_id": "node_2877",
      "improvement_over_parent": null
    },
    "node_2879": {
      "node_id": "node_2879",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 209.10 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.09856411482986,
      "fos_buckling": 1.2960030735666574,
      "fos_yielding": 2.1558807226610126,
      "deflection": 0.004863524795561319,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002370)"
      },
      "parent_node_id": "node_2878",
      "improvement_over_parent": null
    },
    "node_2880": {
      "node_id": "node_2880",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6565742103889,
      "fos_buckling": 1.5414410327285473,
      "fos_yielding": 2.650646981426969,
      "deflection": 0.003958007834708247,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_2879",
      "improvement_over_parent": null
    },
    "node_2881": {
      "node_id": "node_2881",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2880",
      "improvement_over_parent": null
    },
    "node_2882": {
      "node_id": "node_2882",
      "content": "INITIAL DESIGN (Trace 413)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 121.38 kg\n  Factor of Safety: 0.53\n  Max Deflection: 1.00e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.37613243527176,
      "fos_buckling": 0.5346219902968894,
      "fos_yielding": 1.145112475158368,
      "deflection": 0.010033968280118613,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2883": {
      "node_id": "node_2883",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 122.39 kg\n  Factor of Safety: 0.53\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 122.39189967076624,
      "fos_buckling": 0.5345752707709299,
      "fos_yielding": 1.1450124061133582,
      "deflection": 0.009832957960195654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.264)"
      },
      "parent_node_id": "node_2882",
      "improvement_over_parent": null
    },
    "node_2884": {
      "node_id": "node_2884",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0012)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n\nPerformance:\n  Mass: 132.45 kg\n  Factor of Safety: 0.53\n  Max Deflection: 8.83e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 132.4500699520628,
      "fos_buckling": 0.5344211224661632,
      "fos_yielding": 1.144682234234879,
      "deflection": 0.008831522747696894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002302)"
      },
      "parent_node_id": "node_2883",
      "improvement_over_parent": null
    },
    "node_2885": {
      "node_id": "node_2885",
      "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n\nPerformance:\n  Mass: 133.21 kg\n  Factor of Safety: 0.53\n  Max Deflection: 8.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.21427872586753,
      "fos_buckling": 0.5343859988478,
      "fos_yielding": 1.3934330015173975,
      "deflection": 0.008631034500007033,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.368)"
      },
      "parent_node_id": "node_2884",
      "improvement_over_parent": null
    },
    "node_2886": {
      "node_id": "node_2886",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n\nPerformance:\n  Mass: 165.07 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.06529138894834,
      "fos_buckling": 0.6466633450235239,
      "fos_yielding": 1.724044539607388,
      "deflection": 0.006978866191856447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.253)"
      },
      "parent_node_id": "node_2885",
      "improvement_over_parent": null
    },
    "node_2887": {
      "node_id": "node_2887",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n\nPerformance:\n  Mass: 203.01 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.0110062516218,
      "fos_buckling": 0.7727454945069918,
      "fos_yielding": 2.1166448055274527,
      "deflection": 0.005687275286996523,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_2886",
      "improvement_over_parent": null
    },
    "node_2888": {
      "node_id": "node_2888",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 253.11 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.11376970460356,
      "fos_buckling": 0.926550737840487,
      "fos_yielding": 2.632916227450144,
      "deflection": 0.004575123880553236,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2887",
      "improvement_over_parent": null
    },
    "node_2889": {
      "node_id": "node_2889",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.83 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.8305889539651,
      "fos_buckling": 1.5423239266716156,
      "fos_yielding": 2.6524712344733095,
      "deflection": 0.003955411947808032,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_2888",
      "improvement_over_parent": null
    },
    "node_2890": {
      "node_id": "node_2890",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2889",
      "improvement_over_parent": null
    },
    "node_2891": {
      "node_id": "node_2891",
      "content": "INITIAL DESIGN (Trace 414)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 212.52 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.52073090807295,
      "fos_buckling": 0.6730498369153847,
      "fos_yielding": 1.7204368008042548,
      "deflection": 0.005792667511144697,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2892": {
      "node_id": "node_2892",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 233.78 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.7758569899651,
      "fos_buckling": 1.1637195942036977,
      "fos_yielding": 1.7198590210347202,
      "deflection": 0.004708949639355251,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_2891",
      "improvement_over_parent": null
    },
    "node_2893": {
      "node_id": "node_2893",
      "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 234.79 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.79113442721265,
      "fos_buckling": 1.1637009267089766,
      "fos_yielding": 1.7198314323790347,
      "deflection": 0.0046876969293329135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.245)"
      },
      "parent_node_id": "node_2892",
      "improvement_over_parent": null
    },
    "node_2894": {
      "node_id": "node_2894",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.00 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.0013112896859,
      "fos_buckling": 1.1636341785142144,
      "fos_yielding": 1.7197327853463038,
      "deflection": 0.004628896166509083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.179)"
      },
      "parent_node_id": "node_2893",
      "improvement_over_parent": null
    },
    "node_2895": {
      "node_id": "node_2895",
      "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.43 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.4345267232337,
      "fos_buckling": 1.163499995900382,
      "fos_yielding": 2.4265306392655037,
      "deflection": 0.004479761457832754,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.451)"
      },
      "parent_node_id": "node_2894",
      "improvement_over_parent": null
    },
    "node_2896": {
      "node_id": "node_2896",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5242704980412,
      "fos_buckling": 1.5409016050203128,
      "fos_yielding": 2.6493544807976277,
      "deflection": 0.003960036405713921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_2895",
      "improvement_over_parent": null
    },
    "node_2897": {
      "node_id": "node_2897",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2896",
      "improvement_over_parent": null
    },
    "node_2898": {
      "node_id": "node_2898",
      "content": "INITIAL DESIGN (Trace 415)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 161.09 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.60e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.09316574241544,
      "fos_buckling": 0.8348614130071901,
      "fos_yielding": 1.6459393171852916,
      "deflection": 0.006600200506447691,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2899": {
      "node_id": "node_2899",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 188.56 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.55950980158985,
      "fos_buckling": 0.9568807164522164,
      "fos_yielding": 1.9242639118412288,
      "deflection": 0.005647925939343928,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_2898",
      "improvement_over_parent": null
    },
    "node_2900": {
      "node_id": "node_2900",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n  Mass: 203.67 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.66603439422414,
      "fos_buckling": 1.2672692793192821,
      "fos_yielding": 2.1002604507575517,
      "deflection": 0.0049918139185572905,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003541)"
      },
      "parent_node_id": "node_2899",
      "improvement_over_parent": null
    },
    "node_2901": {
      "node_id": "node_2901",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n\nPerformance:\n  Mass: 232.35 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.38e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.34638532502035,
      "fos_buckling": 1.416116639790819,
      "fos_yielding": 2.3928838028131083,
      "deflection": 0.004382880177474974,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_2900",
      "improvement_over_parent": null
    },
    "node_2902": {
      "node_id": "node_2902",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0039)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.09 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.97e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.0879020687465,
      "fos_buckling": 1.5387094211012151,
      "fos_yielding": 2.6447048242075253,
      "deflection": 0.003966731112230878,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.117)"
      },
      "parent_node_id": "node_2901",
      "improvement_over_parent": null
    },
    "node_2903": {
      "node_id": "node_2903",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2902",
      "improvement_over_parent": null
    },
    "node_2904": {
      "node_id": "node_2904",
      "content": "INITIAL DESIGN (Trace 416)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 160.78 kg\n  Factor of Safety: 0.31\n  Max Deflection: 1.14e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 160.7775155710626,
      "fos_buckling": 0.3127991370630543,
      "fos_yielding": 1.755166266754598,
      "deflection": 11421284364745.611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2905": {
      "node_id": "node_2905",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n  Mass: 170.22 kg\n  Factor of Safety: 0.04\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": 170.21702017770718,
      "fos_buckling": 0.03568421132024132,
      "fos_yielding": 0.4461829779577766,
      "deflection": 0.023215753061565165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002582)"
      },
      "parent_node_id": "node_2904",
      "improvement_over_parent": null
    },
    "node_2906": {
      "node_id": "node_2906",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n\nPerformance:\n  Mass: 198.89 kg\n  Factor of Safety: 0.04\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": 198.88741694264638,
      "fos_buckling": 0.04082202847086705,
      "fos_yielding": 0.5206999277053722,
      "deflection": 0.01989959532291493,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2905",
      "improvement_over_parent": null
    },
    "node_2907": {
      "node_id": "node_2907",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n\nPerformance:\n  Mass: 206.56 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.5580799796013,
      "fos_buckling": 1.282584978302193,
      "fos_yielding": 2.129915226430251,
      "deflection": 0.004922614661529878,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003330)"
      },
      "parent_node_id": "node_2906",
      "improvement_over_parent": null
    },
    "node_2908": {
      "node_id": "node_2908",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5429395492632,
      "fos_buckling": 1.5408844762337799,
      "fos_yielding": 2.649468018961658,
      "deflection": 0.003959724261289645,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_2907",
      "improvement_over_parent": null
    },
    "node_2909": {
      "node_id": "node_2909",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2908",
      "improvement_over_parent": null
    },
    "node_2910": {
      "node_id": "node_2910",
      "content": "INITIAL DESIGN (Trace 417)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 173.15 kg\n  Factor of Safety: 0.34\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": 173.15488520662473,
      "fos_buckling": 0.33715644318254545,
      "fos_yielding": 1.0429424317185012,
      "deflection": 0.015920646691752565,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2911": {
      "node_id": "node_2911",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 179.23 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.23210988962472,
      "fos_buckling": 1.1215736839697947,
      "fos_yielding": 1.3839911078931584,
      "deflection": 0.005896327315551725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002751)"
      },
      "parent_node_id": "node_2910",
      "improvement_over_parent": null
    },
    "node_2912": {
      "node_id": "node_2912",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n\nPerformance:\n  Mass: 221.99 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.98877890871023,
      "fos_buckling": 1.3496548488326223,
      "fos_yielding": 1.7181712289820839,
      "deflection": 0.00476887368915485,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.258)"
      },
      "parent_node_id": "node_2911",
      "improvement_over_parent": null
    },
    "node_2913": {
      "node_id": "node_2913",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 254.95 kg\n  Factor of Safety: 1.52\n  Max Deflection: 4.16e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.95145183991366,
      "fos_buckling": 1.5151533456851174,
      "fos_yielding": 1.9772402091828862,
      "deflection": 0.004157703690364434,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2912",
      "improvement_over_parent": null
    },
    "node_2914": {
      "node_id": "node_2914",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.67966213154585,
      "fos_buckling": 1.5415308491313013,
      "fos_yielding": 2.6521263609148122,
      "deflection": 0.003957405446686045,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.393)"
      },
      "parent_node_id": "node_2913",
      "improvement_over_parent": null
    },
    "node_2915": {
      "node_id": "node_2915",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2914",
      "improvement_over_parent": null
    },
    "node_2916": {
      "node_id": "node_2916",
      "content": "INITIAL DESIGN (Trace 418)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.25 kg\n  Factor of Safety: 0.18\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": 238.25216984094104,
      "fos_buckling": 0.17945653263372138,
      "fos_yielding": 0.6298101979568259,
      "deflection": 15105543097655.271,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2917": {
      "node_id": "node_2917",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 247.82 kg\n  Factor of Safety: 1.44\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.81531082016085,
      "fos_buckling": 1.435085950613394,
      "fos_yielding": 1.8890385493369595,
      "deflection": 0.004172280280448481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_2916",
      "improvement_over_parent": null
    },
    "node_2918": {
      "node_id": "node_2918",
      "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 250.96 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.96451052615424,
      "fos_buckling": 1.4357196967696972,
      "fos_yielding": 2.7167450687728394,
      "deflection": 0.0038884920329888962,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.481)"
      },
      "parent_node_id": "node_2917",
      "improvement_over_parent": null
    },
    "node_2919": {
      "node_id": "node_2919",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.52 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.52329871430385,
      "fos_buckling": 1.5408181485673647,
      "fos_yielding": 2.6480858394694673,
      "deflection": 0.0039602164896444724,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_2918",
      "improvement_over_parent": null
    },
    "node_2920": {
      "node_id": "node_2920",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2919",
      "improvement_over_parent": null
    },
    "node_2921": {
      "node_id": "node_2921",
      "content": "INITIAL DESIGN (Trace 419)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 185.88 kg\n  Factor of Safety: 0.68\n  Max Deflection: 5.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.88363451990264,
      "fos_buckling": 0.6827166216250257,
      "fos_yielding": 1.3479655550571636,
      "deflection": 0.005345834079459566,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2922": {
      "node_id": "node_2922",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 205.84 kg\n  Factor of Safety: 0.75\n  Max Deflection: 4.83e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.83815976425458,
      "fos_buckling": 0.7460606526277188,
      "fos_yielding": 1.4954080678958221,
      "deflection": 0.004831192005369832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.116)"
      },
      "parent_node_id": "node_2921",
      "improvement_over_parent": null
    },
    "node_2923": {
      "node_id": "node_2923",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 239.79 kg\n  Factor of Safety: 0.85\n  Max Deflection: 4.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.78801788586316,
      "fos_buckling": 0.8492128454221571,
      "fos_yielding": 1.747826898006609,
      "deflection": 0.004152305309515105,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_2922",
      "improvement_over_parent": null
    },
    "node_2924": {
      "node_id": "node_2924",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 247.63 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.30e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.62678090384262,
      "fos_buckling": 1.2428507529610484,
      "fos_yielding": 1.8120496702281899,
      "deflection": 0.0043047629523913205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_2923",
      "improvement_over_parent": null
    },
    "node_2925": {
      "node_id": "node_2925",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 254.27 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.23e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.26938113266195,
      "fos_buckling": 1.4887485145195107,
      "fos_yielding": 1.8217590320592998,
      "deflection": 0.0042256345490226796,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_2924",
      "improvement_over_parent": null
    },
    "node_2926": {
      "node_id": "node_2926",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6093582507427,
      "fos_buckling": 1.5412453821781358,
      "fos_yielding": 2.648016834069239,
      "deflection": 0.003958988425698627,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_2925",
      "improvement_over_parent": null
    },
    "node_2927": {
      "node_id": "node_2927",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2926",
      "improvement_over_parent": null
    },
    "node_2928": {
      "node_id": "node_2928",
      "content": "INITIAL DESIGN (Trace 420)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 179.76 kg\n  Factor of Safety: 0.51\n  Max Deflection: 6.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.76426933851658,
      "fos_buckling": 0.5089811298612769,
      "fos_yielding": 1.7572901782971728,
      "deflection": 0.006800684219090186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2929": {
      "node_id": "node_2929",
      "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0017)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 181.07 kg\n  Factor of Safety: 0.54\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.06764268080758,
      "fos_buckling": 0.5409381756758346,
      "fos_yielding": 1.7570929024615944,
      "deflection": 0.00670319745309826,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.230)"
      },
      "parent_node_id": "node_2928",
      "improvement_over_parent": null
    },
    "node_2930": {
      "node_id": "node_2930",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 200.34 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.34281861532915,
      "fos_buckling": 0.5898864850120698,
      "fos_yielding": 1.9421903515267855,
      "deflection": 0.006063364870469425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2929",
      "improvement_over_parent": null
    },
    "node_2931": {
      "node_id": "node_2931",
      "content": "MODIFICATION: Increase 3 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 201.68 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.99e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.6848531857227,
      "fos_buckling": 0.5899004728842921,
      "fos_yielding": 1.9421155929542997,
      "deflection": 0.005991045593243288,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.425)"
      },
      "parent_node_id": "node_2930",
      "improvement_over_parent": null
    },
    "node_2932": {
      "node_id": "node_2932",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.57 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.57124948363858,
      "fos_buckling": 0.6737830748537079,
      "fos_yielding": 2.2741041577770735,
      "deflection": 0.00511577676378387,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.190)"
      },
      "parent_node_id": "node_2931",
      "improvement_over_parent": null
    },
    "node_2933": {
      "node_id": "node_2933",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5274334904542,
      "fos_buckling": 1.540751142921469,
      "fos_yielding": 2.649257386375128,
      "deflection": 0.00395984365845491,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_2932",
      "improvement_over_parent": null
    },
    "node_2934": {
      "node_id": "node_2934",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2933",
      "improvement_over_parent": null
    },
    "node_2935": {
      "node_id": "node_2935",
      "content": "INITIAL DESIGN (Trace 421)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 162.77 kg\n  Factor of Safety: 0.64\n  Max Deflection: 7.10e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.7716854464697,
      "fos_buckling": 0.6410727749714438,
      "fos_yielding": 1.7347378806829479,
      "deflection": 0.0071015562137032,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2936": {
      "node_id": "node_2936",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n  Mass: 172.21 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.20774902571776,
      "fos_buckling": 0.9625169460755808,
      "fos_yielding": 1.815666059233886,
      "deflection": 0.005852541738491517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002581)"
      },
      "parent_node_id": "node_2935",
      "improvement_over_parent": null
    },
    "node_2937": {
      "node_id": "node_2937",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n  Mass: 176.77 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.76817915940842,
      "fos_buckling": 1.1210631234612114,
      "fos_yielding": 1.8252572154333155,
      "deflection": 0.005742294001031113,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001991)"
      },
      "parent_node_id": "node_2936",
      "improvement_over_parent": null
    },
    "node_2938": {
      "node_id": "node_2938",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n  Mass: 224.14 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.14401131646665,
      "fos_buckling": 1.3742668414744972,
      "fos_yielding": 2.3094367914226943,
      "deflection": 0.004540992057380881,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.290)"
      },
      "parent_node_id": "node_2937",
      "improvement_over_parent": null
    },
    "node_2939": {
      "node_id": "node_2939",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.40180293650695,
      "fos_buckling": 1.540205561455846,
      "fos_yielding": 2.648080147057691,
      "deflection": 0.0039618551478696655,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2938",
      "improvement_over_parent": null
    },
    "node_2940": {
      "node_id": "node_2940",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2939",
      "improvement_over_parent": null
    },
    "node_2941": {
      "node_id": "node_2941",
      "content": "INITIAL DESIGN (Trace 422)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 151.35 kg\n  Factor of Safety: 0.51\n  Max Deflection: 8.25e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 151.3529524832147,
      "fos_buckling": 0.5115522702052995,
      "fos_yielding": 1.7129991696368136,
      "deflection": 0.008252600568471857,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2942": {
      "node_id": "node_2942",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 195.84 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.39e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.84132063875438,
      "fos_buckling": 0.6465595087757573,
      "fos_yielding": 2.211017984477996,
      "deflection": 0.006391227605402365,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_2941",
      "improvement_over_parent": null
    },
    "node_2943": {
      "node_id": "node_2943",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.49 kg\n  Factor of Safety: 0.73\n  Max Deflection: 5.61e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.49446927808714,
      "fos_buckling": 0.726908132311186,
      "fos_yielding": 2.5193147970223735,
      "deflection": 0.005607616349749242,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.155)"
      },
      "parent_node_id": "node_2942",
      "improvement_over_parent": null
    },
    "node_2944": {
      "node_id": "node_2944",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 241.48 kg\n  Factor of Safety: 0.88\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.48383384474704,
      "fos_buckling": 0.8846044647357925,
      "fos_yielding": 2.5180176275598143,
      "deflection": 0.004877307783841778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_2943",
      "improvement_over_parent": null
    },
    "node_2945": {
      "node_id": "node_2945",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 243.83 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.82738248960686,
      "fos_buckling": 0.9511504279985834,
      "fos_yielding": 2.5173422063773985,
      "deflection": 0.004755346618243735,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.337)"
      },
      "parent_node_id": "node_2944",
      "improvement_over_parent": null
    },
    "node_2946": {
      "node_id": "node_2946",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.58 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.57685095579427,
      "fos_buckling": 1.5410754859079088,
      "fos_yielding": 2.649920584444225,
      "deflection": 0.003959153083409306,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2945",
      "improvement_over_parent": null
    },
    "node_2947": {
      "node_id": "node_2947",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2946",
      "improvement_over_parent": null
    },
    "node_2948": {
      "node_id": "node_2948",
      "content": "INITIAL DESIGN (Trace 423)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n\nPerformance:\n  Mass: 133.49 kg\n  Factor of Safety: 0.17\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 133.48896733634965,
      "fos_buckling": 0.1714493454090137,
      "fos_yielding": 1.1224769509580144,
      "deflection": 0.01139716500184873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2949": {
      "node_id": "node_2949",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 168.60 kg\n  Factor of Safety: 0.21\n  Max Deflection: 9.04e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.60135347983567,
      "fos_buckling": 0.2102057019219867,
      "fos_yielding": 1.4151594869680093,
      "deflection": 0.009040789708739295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_2948",
      "improvement_over_parent": null
    },
    "node_2950": {
      "node_id": "node_2950",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 185.24 kg\n  Factor of Safety: 0.55\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.23508428352022,
      "fos_buckling": 0.5485479711051513,
      "fos_yielding": 1.78532231817965,
      "deflection": 0.006518191838084994,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003692)"
      },
      "parent_node_id": "node_2949",
      "improvement_over_parent": null
    },
    "node_2951": {
      "node_id": "node_2951",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 236.70 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.69947726503298,
      "fos_buckling": 0.6741443965268246,
      "fos_yielding": 2.275505757186831,
      "deflection": 0.0051130800271546595,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.305)"
      },
      "parent_node_id": "node_2950",
      "improvement_over_parent": null
    },
    "node_2952": {
      "node_id": "node_2952",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.66 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6556612718486,
      "fos_buckling": 1.5415385725244113,
      "fos_yielding": 2.650851502301015,
      "deflection": 0.003957917293540248,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_2951",
      "improvement_over_parent": null
    },
    "node_2953": {
      "node_id": "node_2953",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2952",
      "improvement_over_parent": null
    },
    "node_2954": {
      "node_id": "node_2954",
      "content": "INITIAL DESIGN (Trace 424)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 178.39 kg\n  Factor of Safety: 0.87\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.38766817252116,
      "fos_buckling": 0.8718894355519118,
      "fos_yielding": 1.7291773531330525,
      "deflection": 0.0063283046177821465,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2955": {
      "node_id": "node_2955",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 197.51 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.51112762558344,
      "fos_buckling": 0.9519315737498455,
      "fos_yielding": 1.9128770058726492,
      "deflection": 0.0057218508489163804,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.115)"
      },
      "parent_node_id": "node_2954",
      "improvement_over_parent": null
    },
    "node_2956": {
      "node_id": "node_2956",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 201.45 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 201.4473094774126,
      "fos_buckling": 1.261155598905571,
      "fos_yielding": 2.089605689708171,
      "deflection": 0.005060003388399257,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002359)"
      },
      "parent_node_id": "node_2955",
      "improvement_over_parent": null
    },
    "node_2957": {
      "node_id": "node_2957",
      "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n\nPerformance:\n  Mass: 202.55 kg\n  Factor of Safety: 1.26\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.54639947504552,
      "fos_buckling": 1.2612864864182323,
      "fos_yielding": 2.0889188779626586,
      "deflection": 0.005018923152586716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.359)"
      },
      "parent_node_id": "node_2956",
      "improvement_over_parent": null
    },
    "node_2958": {
      "node_id": "node_2958",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.35 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.34986243087025,
      "fos_buckling": 1.5399461826876146,
      "fos_yielding": 2.6474886554621815,
      "deflection": 0.003962629743101956,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.297)"
      },
      "parent_node_id": "node_2957",
      "improvement_over_parent": null
    },
    "node_2959": {
      "node_id": "node_2959",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2958",
      "improvement_over_parent": null
    },
    "node_2960": {
      "node_id": "node_2960",
      "content": "INITIAL DESIGN (Trace 425)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 193.90 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.80e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.90319925155103,
      "fos_buckling": 0.9515588781460558,
      "fos_yielding": 1.9119475929050949,
      "deflection": 0.00580367485212294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2961": {
      "node_id": "node_2961",
      "content": "MODIFICATION: Increase 17 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 198.46 kg\n  Factor of Safety: 0.95\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.45517407068704,
      "fos_buckling": 0.9513532548515599,
      "fos_yielding": 1.9115344382680182,
      "deflection": 0.0056855560568523445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.410)"
      },
      "parent_node_id": "node_2960",
      "improvement_over_parent": null
    },
    "node_2962": {
      "node_id": "node_2962",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 252.51 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.5098741050456,
      "fos_buckling": 1.1627337125775432,
      "fos_yielding": 2.426443112223511,
      "deflection": 0.0044824778715157896,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_2961",
      "improvement_over_parent": null
    },
    "node_2963": {
      "node_id": "node_2963",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.51310071371194,
      "fos_buckling": 1.5408388412468235,
      "fos_yielding": 2.649377409954429,
      "deflection": 0.003960094961622623,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_2962",
      "improvement_over_parent": null
    },
    "node_2964": {
      "node_id": "node_2964",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2963",
      "improvement_over_parent": null
    },
    "node_2965": {
      "node_id": "node_2965",
      "content": "INITIAL DESIGN (Trace 426)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 223.59 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.03e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 223.5907426277184,
      "fos_buckling": 1.0382376713993904,
      "fos_yielding": 2.430719385872812,
      "deflection": 0.0050263001645232674,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2966": {
      "node_id": "node_2966",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 237.61 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.6068717783752,
      "fos_buckling": 1.035071613701044,
      "fos_yielding": 2.517282150043714,
      "deflection": 0.0047974419442095165,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003268)"
      },
      "parent_node_id": "node_2965",
      "improvement_over_parent": null
    },
    "node_2967": {
      "node_id": "node_2967",
      "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 239.88 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.88032267392998,
      "fos_buckling": 1.0348834946923167,
      "fos_yielding": 2.5167908873725624,
      "deflection": 0.00469052904787022,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.397)"
      },
      "parent_node_id": "node_2966",
      "improvement_over_parent": null
    },
    "node_2968": {
      "node_id": "node_2968",
      "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 240.98 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 240.98377403192256,
      "fos_buckling": 1.0348652370921283,
      "fos_yielding": 2.5167114249776334,
      "deflection": 0.004669451361368951,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.335)"
      },
      "parent_node_id": "node_2967",
      "improvement_over_parent": null
    },
    "node_2969": {
      "node_id": "node_2969",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0037)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 254.73 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.01e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 254.73324249810997,
      "fos_buckling": 1.5011874763893565,
      "fos_yielding": 2.6493492565022967,
      "deflection": 0.004012575374993415,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_2968",
      "improvement_over_parent": null
    },
    "node_2970": {
      "node_id": "node_2970",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2969",
      "improvement_over_parent": null
    },
    "node_2971": {
      "node_id": "node_2971",
      "content": "INITIAL DESIGN (Trace 427)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0013)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 139.07 kg\n  Factor of Safety: 0.68\n  Max Deflection: 7.35e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 139.0651669522337,
      "fos_buckling": 0.6762182661163958,
      "fos_yielding": 1.12938056173998,
      "deflection": 0.007350509596940886,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2972": {
      "node_id": "node_2972",
      "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0014)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0012)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 140.90 kg\n  Factor of Safety: 0.68\n  Max Deflection: 7.16e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.89625750537886,
      "fos_buckling": 0.6754738034804452,
      "fos_yielding": 1.5096130371928669,
      "deflection": 0.007157054791141877,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.664)"
      },
      "parent_node_id": "node_2971",
      "improvement_over_parent": null
    },
    "node_2973": {
      "node_id": "node_2973",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0014)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 167.38 kg\n  Factor of Safety: 0.79\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.3764904006879,
      "fos_buckling": 0.79431810353908,
      "fos_yielding": 1.7906740579566016,
      "deflection": 0.006034170370175351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_2972",
      "improvement_over_parent": null
    },
    "node_2974": {
      "node_id": "node_2974",
      "content": "MODIFICATION: Increase 12 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 169.19 kg\n  Factor of Safety: 0.92\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.18957164678835,
      "fos_buckling": 0.9159035217413444,
      "fos_yielding": 1.7916936833112624,
      "deflection": 0.005964411345910297,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.447)"
      },
      "parent_node_id": "node_2973",
      "improvement_over_parent": null
    },
    "node_2975": {
      "node_id": "node_2975",
      "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 171.80 kg\n  Factor of Safety: 1.02\n  Max Deflection: 5.90e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.8032663288012,
      "fos_buckling": 1.016430074042793,
      "fos_yielding": 1.7861161060706896,
      "deflection": 0.005896433556358339,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.546)"
      },
      "parent_node_id": "node_2974",
      "improvement_over_parent": null
    },
    "node_2976": {
      "node_id": "node_2976",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 218.59 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.58764627852514,
      "fos_buckling": 1.2565985921459981,
      "fos_yielding": 2.2673720215291495,
      "deflection": 0.004647154743467065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_2975",
      "improvement_over_parent": null
    },
    "node_2977": {
      "node_id": "node_2977",
      "content": "MODIFICATION: Increase 12 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 220.06 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.0635676891332,
      "fos_buckling": 1.3533239977984226,
      "fos_yielding": 2.267915429053307,
      "deflection": 0.004624059955407588,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.206)"
      },
      "parent_node_id": "node_2976",
      "improvement_over_parent": null
    },
    "node_2978": {
      "node_id": "node_2978",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.72 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.7244646767196,
      "fos_buckling": 1.5418620053638805,
      "fos_yielding": 2.6514731467814316,
      "deflection": 0.00395693261189064,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2977",
      "improvement_over_parent": null
    },
    "node_2979": {
      "node_id": "node_2979",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2978",
      "improvement_over_parent": null
    },
    "node_2980": {
      "node_id": "node_2980",
      "content": "INITIAL DESIGN (Trace 428)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 162.74 kg\n  Factor of Safety: 0.90\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.73794713046456,
      "fos_buckling": 0.8966213018328224,
      "fos_yielding": 1.55390747964362,
      "deflection": 0.0062287259033702806,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2981": {
      "node_id": "node_2981",
      "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.30 kg\n  Factor of Safety: 0.92\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.29726122639528,
      "fos_buckling": 0.9234104130798785,
      "fos_yielding": 1.7328998880777287,
      "deflection": 0.00613158024902861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.422)"
      },
      "parent_node_id": "node_2980",
      "improvement_over_parent": null
    },
    "node_2982": {
      "node_id": "node_2982",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 202.21 kg\n  Factor of Safety: 1.11\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.20763074294874,
      "fos_buckling": 1.106644439306013,
      "fos_yielding": 2.129050033186463,
      "deflection": 0.004992866292605434,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.248)"
      },
      "parent_node_id": "node_2981",
      "improvement_over_parent": null
    },
    "node_2983": {
      "node_id": "node_2983",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 207.56 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.90e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.56068348827492,
      "fos_buckling": 1.287976327836615,
      "fos_yielding": 2.140222291753184,
      "deflection": 0.0048991182200237215,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002363)"
      },
      "parent_node_id": "node_2982",
      "improvement_over_parent": null
    },
    "node_2984": {
      "node_id": "node_2984",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.46943715974595,
      "fos_buckling": 1.540633454664162,
      "fos_yielding": 2.648801452505717,
      "deflection": 0.003960836437134998,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_2983",
      "improvement_over_parent": null
    },
    "node_2985": {
      "node_id": "node_2985",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2984",
      "improvement_over_parent": null
    },
    "node_2986": {
      "node_id": "node_2986",
      "content": "INITIAL DESIGN (Trace 429)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 163.54 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.54234956272074,
      "fos_buckling": 0.6850584914573233,
      "fos_yielding": 1.7077461913348675,
      "deflection": 0.00643187572773472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_2987": {
      "node_id": "node_2987",
      "content": "MODIFICATION: Increase 13 thickness by 48%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 170.67 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 170.6652729803499,
      "fos_buckling": 0.6849177448621842,
      "fos_yielding": 1.7073967890363273,
      "deflection": 0.006177389241318316,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.484)"
      },
      "parent_node_id": "node_2986",
      "improvement_over_parent": null
    },
    "node_2988": {
      "node_id": "node_2988",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 208.67 kg\n  Factor of Safety: 0.81\n  Max Deflection: 5.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.66581718769308,
      "fos_buckling": 0.8138388882410794,
      "fos_yielding": 2.0835886821141045,
      "deflection": 0.005063084377814917,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_2987",
      "improvement_over_parent": null
    },
    "node_2989": {
      "node_id": "node_2989",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n\nPerformance:\n  Mass: 224.38 kg\n  Factor of Safety: 1.38\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.37784705485683,
      "fos_buckling": 1.3760619454166332,
      "fos_yielding": 2.311701558426865,
      "deflection": 0.004536327647606329,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003817)"
      },
      "parent_node_id": "node_2988",
      "improvement_over_parent": null
    },
    "node_2990": {
      "node_id": "node_2990",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.66633357890794,
      "fos_buckling": 1.5421167650814007,
      "fos_yielding": 2.6506343298278994,
      "deflection": 0.003957853479315103,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_2989",
      "improvement_over_parent": null
    },
    "node_2991": {
      "node_id": "node_2991",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 430)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n  Mass: 137.17 kg\n  Factor of Safety: 0.36\n  Max Deflection: 1.90e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 137.1702470947253,
      "fos_buckling": 0.36335720907625174,
      "fos_yielding": 1.2596203959136516,
      "deflection": 19012559676018.47,
      "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: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n\nPerformance:\n  Mass: 141.96 kg\n  Factor of Safety: 0.02\n  Max Deflection: 2.54e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 141.95843903502356,
      "fos_buckling": 0.019815254390214646,
      "fos_yielding": 0.03936313737230161,
      "deflection": 253827564472427.66,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002097)"
      },
      "parent_node_id": "node_2992",
      "improvement_over_parent": null
    },
    "node_2994": {
      "node_id": "node_2994",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 166.70 kg\n  Factor of Safety: 0.66\n  Max Deflection: 3.10e+12 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.69607028796395,
      "fos_buckling": 0.6632270603315181,
      "fos_yielding": 3.510332533509196,
      "deflection": 3099754913144.2866,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_2993",
      "improvement_over_parent": null
    },
    "node_2995": {
      "node_id": "node_2995",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 181.91 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.91304690681233,
      "fos_buckling": 0.5872996265121174,
      "fos_yielding": 1.7815935504871667,
      "deflection": 0.006759169772484204,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003693)"
      },
      "parent_node_id": "node_2994",
      "improvement_over_parent": null
    },
    "node_2996": {
      "node_id": "node_2996",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n  Mass: 198.06 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.05829051020075,
      "fos_buckling": 0.5870300347400628,
      "fos_yielding": 1.8528055238587797,
      "deflection": 0.006149875016903287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003804)"
      },
      "parent_node_id": "node_2995",
      "improvement_over_parent": null
    },
    "node_2997": {
      "node_id": "node_2997",
      "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n\nPerformance:\n  Mass: 199.96 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.96355141653842,
      "fos_buckling": 0.5869346524449013,
      "fos_yielding": 2.0944032883578516,
      "deflection": 0.006003783133987468,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.332)"
      },
      "parent_node_id": "node_2996",
      "improvement_over_parent": null
    },
    "node_2998": {
      "node_id": "node_2998",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 217.94 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.94040524505243,
      "fos_buckling": 1.3423145314276153,
      "fos_yielding": 2.2464941596007515,
      "deflection": 0.004668138776073858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004014)"
      },
      "parent_node_id": "node_2997",
      "improvement_over_parent": null
    },
    "node_2999": {
      "node_id": "node_2999",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.62 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.62341886307786,
      "fos_buckling": 1.5413583775799726,
      "fos_yielding": 2.650725357104089,
      "deflection": 0.003958131781645771,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.200)"
      },
      "parent_node_id": "node_2998",
      "improvement_over_parent": null
    },
    "node_3000": {
      "node_id": "node_3000",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_2999",
      "improvement_over_parent": null
    },
    "node_3001": {
      "node_id": "node_3001",
      "content": "INITIAL DESIGN (Trace 431)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 185.82 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.82253873789108,
      "fos_buckling": 0.9427210649252785,
      "fos_yielding": 1.7411386989601405,
      "deflection": 0.005493548803108002,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3002": {
      "node_id": "node_3002",
      "content": "MODIFICATION: Increase 20 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 191.36 kg\n  Factor of Safety: 1.20\n  Max Deflection: 5.35e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.35607898809607,
      "fos_buckling": 1.2047453426224077,
      "fos_yielding": 1.7416953216994668,
      "deflection": 0.005349730700940919,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.567)"
      },
      "parent_node_id": "node_3001",
      "improvement_over_parent": null
    },
    "node_3003": {
      "node_id": "node_3003",
      "content": "MODIFICATION: Increase 0 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0032)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0030)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0031)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0027)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0028)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0043)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0035)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0035)]\n\nPerformance:\n  Mass: 193.24 kg\n  Factor of Safety: 1.21\n  Max Deflection: 5.26e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.23754725300643,
      "fos_buckling": 1.2113102381864167,
      "fos_yielding": 1.9937255317466374,
      "deflection": 0.005257947756839783,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.458)"
      },
      "parent_node_id": "node_3002",
      "improvement_over_parent": null
    },
    "node_3004": {
      "node_id": "node_3004",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 218.64 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.6400040670819,
      "fos_buckling": 1.3458434646837336,
      "fos_yielding": 2.253197329720339,
      "deflection": 0.004653878874489106,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3003",
      "improvement_over_parent": null
    },
    "node_3005": {
      "node_id": "node_3005",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.65270720135743,
      "fos_buckling": 1.5413960601121153,
      "fos_yielding": 2.65051971407082,
      "deflection": 0.0039580961892304,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.196)"
      },
      "parent_node_id": "node_3004",
      "improvement_over_parent": null
    },
    "node_3006": {
      "node_id": "node_3006",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 432)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 115.91 kg\n  Factor of Safety: 0.35\n  Max Deflection: 1.09e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 115.91212530195199,
      "fos_buckling": 0.35080031135294876,
      "fos_yielding": 1.1925121570366297,
      "deflection": 0.010867106373206746,
      "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 12 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0015)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 120.56 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.08e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 120.56387574838377,
      "fos_buckling": 0.3809570245403059,
      "fos_yielding": 1.192352671804395,
      "deflection": 0.01076296110870397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.404)"
      },
      "parent_node_id": "node_3007",
      "improvement_over_parent": null
    },
    "node_3009": {
      "node_id": "node_3009",
      "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0015)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0024)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 121.60 kg\n  Factor of Safety: 0.38\n  Max Deflection: 1.07e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.60079128169684,
      "fos_buckling": 0.38139012824360197,
      "fos_yielding": 1.1923171269765742,
      "deflection": 0.01072266749995291,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.326)"
      },
      "parent_node_id": "node_3008",
      "improvement_over_parent": null
    },
    "node_3010": {
      "node_id": "node_3010",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 159.19 kg\n  Factor of Safety: 0.49\n  Max Deflection: 8.21e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 159.18582846757388,
      "fos_buckling": 0.4852445423410732,
      "fos_yielding": 1.5571352272056411,
      "deflection": 0.008210477901543873,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3009",
      "improvement_over_parent": null
    },
    "node_3011": {
      "node_id": "node_3011",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n\nPerformance:\n  Mass: 163.72 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.67e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 163.7246931842475,
      "fos_buckling": 0.6735661446004518,
      "fos_yielding": 1.8046015567217437,
      "deflection": 0.006666518055681704,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001981)"
      },
      "parent_node_id": "node_3010",
      "improvement_over_parent": null
    },
    "node_3012": {
      "node_id": "node_3012",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 176.02 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.77e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.01929543367422,
      "fos_buckling": 1.117001471380752,
      "fos_yielding": 1.8176357267894676,
      "deflection": 0.005766432073038771,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002939)"
      },
      "parent_node_id": "node_3011",
      "improvement_over_parent": null
    },
    "node_3013": {
      "node_id": "node_3013",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 211.98 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 211.9798877817204,
      "fos_buckling": 1.311258266104734,
      "fos_yielding": 2.1853776945691075,
      "deflection": 0.0047981655536438956,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.220)"
      },
      "parent_node_id": "node_3012",
      "improvement_over_parent": null
    },
    "node_3014": {
      "node_id": "node_3014",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.536692954559,
      "fos_buckling": 1.5409867956019305,
      "fos_yielding": 2.6495198486007565,
      "deflection": 0.003959782514511921,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.236)"
      },
      "parent_node_id": "node_3013",
      "improvement_over_parent": null
    },
    "node_3015": {
      "node_id": "node_3015",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 433)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 208.47 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.4728384568262,
      "fos_buckling": 0.6097690717618813,
      "fos_yielding": 2.1914997398207334,
      "deflection": 0.0057462007420039625,
      "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 11 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 209.37 kg\n  Factor of Safety: 0.61\n  Max Deflection: 5.74e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.37386047552232,
      "fos_buckling": 0.6096754452369633,
      "fos_yielding": 2.1911621090526996,
      "deflection": 0.005737451452935856,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.196)"
      },
      "parent_node_id": "node_3016",
      "improvement_over_parent": null
    },
    "node_3018": {
      "node_id": "node_3018",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 236.43 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.43026233858325,
      "fos_buckling": 0.6728174776800373,
      "fos_yielding": 2.469087979743788,
      "deflection": 0.005089859377624389,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3017",
      "improvement_over_parent": null
    },
    "node_3019": {
      "node_id": "node_3019",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.69 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6853884204754,
      "fos_buckling": 1.5416441795027325,
      "fos_yielding": 2.651087840981485,
      "deflection": 0.003957483800681858,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_3018",
      "improvement_over_parent": null
    },
    "node_3020": {
      "node_id": "node_3020",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3019",
      "improvement_over_parent": null
    },
    "node_3021": {
      "node_id": "node_3021",
      "content": "INITIAL DESIGN (Trace 434)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 154.49 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.27e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.4907970322224,
      "fos_buckling": 0.20405595455514303,
      "fos_yielding": 0.9099074439498175,
      "deflection": 0.012741705716380655,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3022": {
      "node_id": "node_3022",
      "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0021)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 156.41 kg\n  Factor of Safety: 0.20\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": 156.41059392628767,
      "fos_buckling": 0.2047930392175113,
      "fos_yielding": 0.9098243636017632,
      "deflection": 0.012608384978536304,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.468)"
      },
      "parent_node_id": "node_3021",
      "improvement_over_parent": null
    },
    "node_3023": {
      "node_id": "node_3023",
      "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 157.87 kg\n  Factor of Safety: 0.20\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": 157.8660507191602,
      "fos_buckling": 0.20479500993781422,
      "fos_yielding": 0.9097613879570136,
      "deflection": 0.012609019721236651,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.335)"
      },
      "parent_node_id": "node_3022",
      "improvement_over_parent": null
    },
    "node_3024": {
      "node_id": "node_3024",
      "content": "MODIFICATION: Increase 13 thickness by 55%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 162.59 kg\n  Factor of Safety: 0.20\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": 162.5865552733799,
      "fos_buckling": 0.20480140186513696,
      "fos_yielding": 1.0624386914355373,
      "deflection": 0.011157174927830481,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.548)"
      },
      "parent_node_id": "node_3023",
      "improvement_over_parent": null
    },
    "node_3025": {
      "node_id": "node_3025",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 202.57 kg\n  Factor of Safety: 0.25\n  Max Deflection: 8.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.57162373547817,
      "fos_buckling": 0.24711598198242665,
      "fos_yielding": 1.3212021178572986,
      "deflection": 0.008970824905876517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.267)"
      },
      "parent_node_id": "node_3024",
      "improvement_over_parent": null
    },
    "node_3026": {
      "node_id": "node_3026",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0036)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0040)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0028)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n\nPerformance:\n  Mass: 231.58 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.5764606466342,
      "fos_buckling": 1.2638108513324486,
      "fos_yielding": 2.40578738070164,
      "deflection": 0.004388876701210157,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005314)"
      },
      "parent_node_id": "node_3025",
      "improvement_over_parent": null
    },
    "node_3027": {
      "node_id": "node_3027",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 254.99 kg\n  Factor of Safety: 1.37\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.98692820137748,
      "fos_buckling": 1.3730349329412517,
      "fos_yielding": 2.6459549366878266,
      "deflection": 0.003991395718954851,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.111)"
      },
      "parent_node_id": "node_3026",
      "improvement_over_parent": null
    },
    "node_3028": {
      "node_id": "node_3028",
      "content": "MODIFICATION: Increase 12 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.30 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.29586930994344,
      "fos_buckling": 1.540055670631932,
      "fos_yielding": 2.6468498600958106,
      "deflection": 0.003963469788657318,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.299)"
      },
      "parent_node_id": "node_3027",
      "improvement_over_parent": null
    },
    "node_3029": {
      "node_id": "node_3029",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 435)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0016)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0017)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0016)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0013)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0012)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0017)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0012)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0013)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0015)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0023)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0019)]\n\nPerformance:\n  Mass: 96.01 kg\n  Factor of Safety: 0.31\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": 96.01173928509684,
      "fos_buckling": 0.3116577832268675,
      "fos_yielding": 0.7170341998550673,
      "deflection": 0.013403514231256982,
      "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 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0020)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0022)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0015)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0030)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0014)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0023)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 121.91 kg\n  Factor of Safety: 0.39\n  Max Deflection: 1.06e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 121.91053478153896,
      "fos_buckling": 0.3883178099914854,
      "fos_yielding": 0.9115385515382296,
      "deflection": 0.010565035584755359,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.282)"
      },
      "parent_node_id": "node_3030",
      "improvement_over_parent": null
    },
    "node_3032": {
      "node_id": "node_3032",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 158.44 kg\n  Factor of Safety: 0.49\n  Max Deflection: 8.14e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.43637752678194,
      "fos_buckling": 0.491094379806954,
      "fos_yielding": 1.1868381761213036,
      "deflection": 0.008138914858506438,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.318)"
      },
      "parent_node_id": "node_3031",
      "improvement_over_parent": null
    },
    "node_3033": {
      "node_id": "node_3033",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n\nPerformance:\n  Mass: 161.69 kg\n  Factor of Safety: 0.49\n  Max Deflection: 7.76e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.6879916416942,
      "fos_buckling": 0.4911226102985396,
      "fos_yielding": 1.1867272625157341,
      "deflection": 0.007758199165286445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001989)"
      },
      "parent_node_id": "node_3032",
      "improvement_over_parent": null
    },
    "node_3034": {
      "node_id": "node_3034",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 192.64 kg\n  Factor of Safety: 0.57\n  Max Deflection: 6.52e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.63976891751403,
      "fos_buckling": 0.5717326736913833,
      "fos_yielding": 1.4162782071993307,
      "deflection": 0.006517419497153451,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3033",
      "improvement_over_parent": null
    },
    "node_3035": {
      "node_id": "node_3035",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 234.60 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.36e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.5963967699461,
      "fos_buckling": 0.6741462366465144,
      "fos_yielding": 1.7291218019202206,
      "deflection": 0.005357976243025235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_3034",
      "improvement_over_parent": null
    },
    "node_3036": {
      "node_id": "node_3036",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 255.55 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.55258077676172,
      "fos_buckling": 1.294536966107675,
      "fos_yielding": 2.467777365122629,
      "deflection": 0.004073855299354426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)"
      },
      "parent_node_id": "node_3035",
      "improvement_over_parent": null
    },
    "node_3037": {
      "node_id": "node_3037",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6341557858541,
      "fos_buckling": 1.5413464872261071,
      "fos_yielding": 2.650429273045955,
      "deflection": 0.0039581123381915,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_3036",
      "improvement_over_parent": null
    },
    "node_3038": {
      "node_id": "node_3038",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 436)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 191.91 kg\n  Factor of Safety: 0.25\n  Max Deflection: 1.58e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.9117041955066,
      "fos_buckling": 0.25333191119949994,
      "fos_yielding": 0.9629768727132063,
      "deflection": 0.015843380655535994,
      "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 17 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 195.21 kg\n  Factor of Safety: 0.32\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": 195.21413022205476,
      "fos_buckling": 0.32251483449404034,
      "fos_yielding": 1.252769860479475,
      "deflection": 0.014579789701588344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.326)"
      },
      "parent_node_id": "node_3039",
      "improvement_over_parent": null
    },
    "node_3041": {
      "node_id": "node_3041",
      "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 230.81 kg\n  Factor of Safety: 0.37\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": 230.80795750990848,
      "fos_buckling": 0.373531595758493,
      "fos_yielding": 1.4763639960735722,
      "deflection": 0.012350454767706453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.199)"
      },
      "parent_node_id": "node_3040",
      "improvement_over_parent": null
    },
    "node_3042": {
      "node_id": "node_3042",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 239.44 kg\n  Factor of Safety: 1.01\n  Max Deflection: 4.20e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.44482103756204,
      "fos_buckling": 1.0119089843441342,
      "fos_yielding": 2.604072123290273,
      "deflection": 0.0042000130651116815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_3041",
      "improvement_over_parent": null
    },
    "node_3043": {
      "node_id": "node_3043",
      "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 241.11 kg\n  Factor of Safety: 1.02\n  Max Deflection: 4.19e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.1106308347091,
      "fos_buckling": 1.0243118040950459,
      "fos_yielding": 2.6051601628218,
      "deflection": 0.004194144737832456,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.284)"
      },
      "parent_node_id": "node_3042",
      "improvement_over_parent": null
    },
    "node_3044": {
      "node_id": "node_3044",
      "content": "MODIFICATION: Increase 13 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 249.24 kg\n  Factor of Safety: 0.94\n  Max Deflection: 4.14e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.24158805302187,
      "fos_buckling": 0.9428873760331715,
      "fos_yielding": 2.5952713716456586,
      "deflection": 0.004137693100394333,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.493)"
      },
      "parent_node_id": "node_3043",
      "improvement_over_parent": null
    },
    "node_3045": {
      "node_id": "node_3045",
      "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 251.50 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.50236501948837,
      "fos_buckling": 1.0517185159859417,
      "fos_yielding": 2.607162212662685,
      "deflection": 0.0040990380599227536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.314)"
      },
      "parent_node_id": "node_3044",
      "improvement_over_parent": null
    },
    "node_3046": {
      "node_id": "node_3046",
      "content": "MODIFICATION: Increase 18 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0038)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0068)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 256.01 kg\n  Factor of Safety: 1.05\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.01399782202793,
      "fos_buckling": 1.0502819102261118,
      "fos_yielding": 2.60762533936222,
      "deflection": 0.004071313595747445,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.284)"
      },
      "parent_node_id": "node_3045",
      "improvement_over_parent": null
    },
    "node_3047": {
      "node_id": "node_3047",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3046",
      "improvement_over_parent": null
    },
    "node_3048": {
      "node_id": "node_3048",
      "content": "INITIAL DESIGN (Trace 437)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 178.36 kg\n  Factor of Safety: 0.34\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": 178.3592066659649,
      "fos_buckling": 0.3425220413824494,
      "fos_yielding": 1.0618647486092687,
      "deflection": 0.015442581216210964,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3049": {
      "node_id": "node_3049",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n\nPerformance:\n  Mass: 184.55 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.54837055790946,
      "fos_buckling": 1.1640049515534199,
      "fos_yielding": 1.9049010724426432,
      "deflection": 0.00550267496786605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002805)"
      },
      "parent_node_id": "node_3048",
      "improvement_over_parent": null
    },
    "node_3050": {
      "node_id": "node_3050",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n\nPerformance:\n  Mass: 215.52 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.72e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.5174138276525,
      "fos_buckling": 1.3296352731307028,
      "fos_yielding": 2.221413691893986,
      "deflection": 0.00472039735593187,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.181)"
      },
      "parent_node_id": "node_3049",
      "improvement_over_parent": null
    },
    "node_3051": {
      "node_id": "node_3051",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.70464834890475,
      "fos_buckling": 1.5416713411312233,
      "fos_yielding": 2.651140653865651,
      "deflection": 0.003957261016400748,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.215)"
      },
      "parent_node_id": "node_3050",
      "improvement_over_parent": null
    },
    "node_3052": {
      "node_id": "node_3052",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3051",
      "improvement_over_parent": null
    },
    "node_3053": {
      "node_id": "node_3053",
      "content": "INITIAL DESIGN (Trace 438)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n\nPerformance:\n  Mass: 164.53 kg\n  Factor of Safety: 0.01\n  Max Deflection: 7.31e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.52625786718585,
      "fos_buckling": 0.011776258435413361,
      "fos_yielding": 0.15249703674522713,
      "deflection": 73115350035457.05,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3054": {
      "node_id": "node_3054",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 185.34 kg\n  Factor of Safety: 0.06\n  Max Deflection: 2.17e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.3378990730827,
      "fos_buckling": 0.05721071380514331,
      "fos_yielding": 0.6298101979568259,
      "deflection": 21676798167846.13,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3053",
      "improvement_over_parent": null
    },
    "node_3055": {
      "node_id": "node_3055",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 204.43 kg\n  Factor of Safety: 0.26\n  Max Deflection: 8.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.42764284789016,
      "fos_buckling": 0.2636382589458185,
      "fos_yielding": 1.456018650736895,
      "deflection": 0.00877187175658598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_3054",
      "improvement_over_parent": null
    },
    "node_3056": {
      "node_id": "node_3056",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 236.38 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.37758522162767,
      "fos_buckling": 0.6727533867766528,
      "fos_yielding": 2.468798121984173,
      "deflection": 0.005090706263053785,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_3055",
      "improvement_over_parent": null
    },
    "node_3057": {
      "node_id": "node_3057",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.63271130351984,
      "fos_buckling": 1.5408719802008124,
      "fos_yielding": 2.650763274817047,
      "deflection": 0.00395817125133996,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_3056",
      "improvement_over_parent": null
    },
    "node_3058": {
      "node_id": "node_3058",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 439)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0020)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 199.24 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.52e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.23754675625878,
      "fos_buckling": 0.9870615612421941,
      "fos_yielding": 1.9952107187354253,
      "deflection": 0.005524171328072794,
      "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: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 203.13 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.46e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.13281281630242,
      "fos_buckling": 0.9867574603521687,
      "fos_yielding": 1.994596020139933,
      "deflection": 0.005460204430453536,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.567)"
      },
      "parent_node_id": "node_3059",
      "improvement_over_parent": null
    },
    "node_3061": {
      "node_id": "node_3061",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.78 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.49e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.78188314822,
      "fos_buckling": 1.1631637561776926,
      "fos_yielding": 2.427516635036574,
      "deflection": 0.0044891344465950505,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.241)"
      },
      "parent_node_id": "node_3060",
      "improvement_over_parent": null
    },
    "node_3062": {
      "node_id": "node_3062",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 252.79 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.78510975688633,
      "fos_buckling": 1.3593902674088605,
      "fos_yielding": 2.655939456741402,
      "deflection": 0.004004346930218578,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3061",
      "improvement_over_parent": null
    },
    "node_3063": {
      "node_id": "node_3063",
      "content": "MODIFICATION: Increase 11 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0050)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 255.71 kg\n  Factor of Safety: 1.36\n  Max Deflection: 3.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.70520845808753,
      "fos_buckling": 1.3599299162559133,
      "fos_yielding": 2.656827837556773,
      "deflection": 0.003979613285010752,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.307)"
      },
      "parent_node_id": "node_3062",
      "improvement_over_parent": null
    },
    "node_3064": {
      "node_id": "node_3064",
      "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0048)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0050)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 258.86 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.85923492261577,
      "fos_buckling": 1.323228327751918,
      "fos_yielding": 2.6654147562470665,
      "deflection": 0.0039951661923410126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.464)"
      },
      "parent_node_id": "node_3063",
      "improvement_over_parent": null
    },
    "node_3065": {
      "node_id": "node_3065",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3064",
      "improvement_over_parent": null
    },
    "node_3066": {
      "node_id": "node_3066",
      "content": "INITIAL DESIGN (Trace 440)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 168.59 kg\n  Factor of Safety: 0.78\n  Max Deflection: 6.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.5928382428575,
      "fos_buckling": 0.7819368538081213,
      "fos_yielding": 1.7929691846520737,
      "deflection": 0.006711765662774985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3067": {
      "node_id": "node_3067",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 196.64 kg\n  Factor of Safety: 0.89\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.64085476600064,
      "fos_buckling": 0.8928423601764239,
      "fos_yielding": 2.0878005330868117,
      "deflection": 0.005764602859848292,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.179)"
      },
      "parent_node_id": "node_3066",
      "improvement_over_parent": null
    },
    "node_3068": {
      "node_id": "node_3068",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n\nPerformance:\n  Mass: 208.02 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.84e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 208.02468786539814,
      "fos_buckling": 1.2723844951025978,
      "fos_yielding": 2.2060160310291765,
      "deflection": 0.00484008792190181,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003155)"
      },
      "parent_node_id": "node_3067",
      "improvement_over_parent": null
    },
    "node_3069": {
      "node_id": "node_3069",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 251.48 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.01e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.48047829749532,
      "fos_buckling": 1.4895153542548243,
      "fos_yielding": 2.660519558948793,
      "deflection": 0.004014133163482126,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3068",
      "improvement_over_parent": null
    },
    "node_3070": {
      "node_id": "node_3070",
      "content": "MODIFICATION: Increase 14 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5987952970348,
      "fos_buckling": 1.5411486424682503,
      "fos_yielding": 2.6499251470667256,
      "deflection": 0.0039589170368826065,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.517)"
      },
      "parent_node_id": "node_3069",
      "improvement_over_parent": null
    },
    "node_3071": {
      "node_id": "node_3071",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3070",
      "improvement_over_parent": null
    },
    "node_3072": {
      "node_id": "node_3072",
      "content": "INITIAL DESIGN (Trace 441)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 184.89 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.40e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.88622403105518,
      "fos_buckling": 0.9352058327373485,
      "fos_yielding": 2.1040997868867963,
      "deflection": 0.005404591550247635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3073": {
      "node_id": "node_3073",
      "content": "MODIFICATION: Increase 14 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 190.16 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.32e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.15538017890788,
      "fos_buckling": 0.9426630651365094,
      "fos_yielding": 2.0950592084429323,
      "deflection": 0.005315758084634083,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.572)"
      },
      "parent_node_id": "node_3072",
      "improvement_over_parent": null
    },
    "node_3074": {
      "node_id": "node_3074",
      "content": "MODIFICATION: Increase 18 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 194.32 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.22e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.3231043468799,
      "fos_buckling": 0.9446478277645621,
      "fos_yielding": 2.0996793125166158,
      "deflection": 0.005217216824640471,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.359)"
      },
      "parent_node_id": "node_3073",
      "improvement_over_parent": null
    },
    "node_3075": {
      "node_id": "node_3075",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 216.26 kg\n  Factor of Safety: 1.04\n  Max Deflection: 4.69e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.26144479426216,
      "fos_buckling": 1.041213212580098,
      "fos_yielding": 2.333613834955429,
      "deflection": 0.004693625355982422,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.122)"
      },
      "parent_node_id": "node_3074",
      "improvement_over_parent": null
    },
    "node_3076": {
      "node_id": "node_3076",
      "content": "MODIFICATION: Increase 13 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 224.37 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.52e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 224.3668574997178,
      "fos_buckling": 1.230055695598118,
      "fos_yielding": 2.34709143000033,
      "deflection": 0.004520845011344812,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.437)"
      },
      "parent_node_id": "node_3075",
      "improvement_over_parent": null
    },
    "node_3077": {
      "node_id": "node_3077",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.41 kg\n  Factor of Safety: 1.37\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.4134124361472,
      "fos_buckling": 1.374410864435316,
      "fos_yielding": 2.6573254250053457,
      "deflection": 0.003993976944313581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.147)"
      },
      "parent_node_id": "node_3076",
      "improvement_over_parent": null
    },
    "node_3078": {
      "node_id": "node_3078",
      "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.67 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6743328853823,
      "fos_buckling": 1.5413987625903336,
      "fos_yielding": 2.6507817896252233,
      "deflection": 0.003957761544308522,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.437)"
      },
      "parent_node_id": "node_3077",
      "improvement_over_parent": null
    },
    "node_3079": {
      "node_id": "node_3079",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 442)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 190.15 kg\n  Factor of Safety: 0.40\n  Max Deflection: 5.85e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.15100379312284,
      "fos_buckling": 0.4005257388382925,
      "fos_yielding": 1.9401141021687234,
      "deflection": 0.005851917114781849,
      "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 14 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 191.87 kg\n  Factor of Safety: 0.38\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.86847639419435,
      "fos_buckling": 0.3774184557342151,
      "fos_yielding": 1.9301240978431464,
      "deflection": 0.005761461811462166,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.206)"
      },
      "parent_node_id": "node_3080",
      "improvement_over_parent": null
    },
    "node_3082": {
      "node_id": "node_3082",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.63 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.62821911833436,
      "fos_buckling": 0.46931250330055985,
      "fos_yielding": 2.4852483319326986,
      "deflection": 0.004476623092430477,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.319)"
      },
      "parent_node_id": "node_3081",
      "improvement_over_parent": null
    },
    "node_3083": {
      "node_id": "node_3083",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59997251703,
      "fos_buckling": 1.5412198100878023,
      "fos_yielding": 2.650225427061609,
      "deflection": 0.003958820109296962,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_3082",
      "improvement_over_parent": null
    },
    "node_3084": {
      "node_id": "node_3084",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3083",
      "improvement_over_parent": null
    },
    "node_3085": {
      "node_id": "node_3085",
      "content": "INITIAL DESIGN (Trace 443)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 219.53 kg\n  Factor of Safety: 0.43\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.52734453155284,
      "fos_buckling": 0.43276235536591556,
      "fos_yielding": 2.2369792759714877,
      "deflection": 0.005010542593061222,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3086": {
      "node_id": "node_3086",
      "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 221.11 kg\n  Factor of Safety: 0.42\n  Max Deflection: 4.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.11302195904102,
      "fos_buckling": 0.42458693384207785,
      "fos_yielding": 2.2331899438669613,
      "deflection": 0.004966682630862419,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.590)"
      },
      "parent_node_id": "node_3085",
      "improvement_over_parent": null
    },
    "node_3087": {
      "node_id": "node_3087",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 246.08 kg\n  Factor of Safety: 0.46\n  Max Deflection: 4.47e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.07694516473637,
      "fos_buckling": 0.46462934869733563,
      "fos_yielding": 2.4826327414924165,
      "deflection": 0.004468798391044386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.124)"
      },
      "parent_node_id": "node_3086",
      "improvement_over_parent": null
    },
    "node_3088": {
      "node_id": "node_3088",
      "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.57 kg\n  Factor of Safety: 0.47\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.5679044130787,
      "fos_buckling": 0.4690942268524615,
      "fos_yielding": 2.4845029344275025,
      "deflection": 0.004477571184622233,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.258)"
      },
      "parent_node_id": "node_3087",
      "improvement_over_parent": null
    },
    "node_3089": {
      "node_id": "node_3089",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53965781177436,
      "fos_buckling": 1.5409003239046772,
      "fos_yielding": 2.649435939010086,
      "deflection": 0.003959709587051423,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_3088",
      "improvement_over_parent": null
    },
    "node_3090": {
      "node_id": "node_3090",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3089",
      "improvement_over_parent": null
    },
    "node_3091": {
      "node_id": "node_3091",
      "content": "INITIAL DESIGN (Trace 444)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 191.95 kg\n  Factor of Safety: 0.52\n  Max Deflection: 4.93e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.9482287497621,
      "fos_buckling": 0.5174834404660231,
      "fos_yielding": 1.6794938612182022,
      "deflection": 4928388137435.472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3092": {
      "node_id": "node_3092",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n  Mass: 197.84 kg\n  Factor of Safety: 0.41\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": 197.84001058222947,
      "fos_buckling": 0.41090149656061004,
      "fos_yielding": 0.7982234395854768,
      "deflection": 0.015424079339989606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002621)"
      },
      "parent_node_id": "node_3091",
      "improvement_over_parent": null
    },
    "node_3093": {
      "node_id": "node_3093",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 223.07 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": 223.07015575219594,
      "fos_buckling": 0.45339048332103354,
      "fos_yielding": 0.8984653980937528,
      "deflection": 0.013703721332953632,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_3092",
      "improvement_over_parent": null
    },
    "node_3094": {
      "node_id": "node_3094",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 231.71 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.16e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.7070192798495,
      "fos_buckling": 0.9268541012313928,
      "fos_yielding": 2.427301962972034,
      "deflection": 0.0051603388952161326,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_3093",
      "improvement_over_parent": null
    },
    "node_3095": {
      "node_id": "node_3095",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 249.70 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.6963838465094,
      "fos_buckling": 1.162855836438549,
      "fos_yielding": 2.4266124487663077,
      "deflection": 0.004527950724744766,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_3094",
      "improvement_over_parent": null
    },
    "node_3096": {
      "node_id": "node_3096",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 254.70 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.69961045517573,
      "fos_buckling": 1.4243114682118725,
      "fos_yielding": 2.6344416491078904,
      "deflection": 0.003936644417730719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3095",
      "improvement_over_parent": null
    },
    "node_3097": {
      "node_id": "node_3097",
      "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0061)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 260.27 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.2745356807897,
      "fos_buckling": 1.4456952403390677,
      "fos_yielding": 2.6356193675799835,
      "deflection": 0.0038978087075719,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.605)"
      },
      "parent_node_id": "node_3096",
      "improvement_over_parent": null
    },
    "node_3098": {
      "node_id": "node_3098",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3097",
      "improvement_over_parent": null
    },
    "node_3099": {
      "node_id": "node_3099",
      "content": "INITIAL DESIGN (Trace 445)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 179.91 kg\n  Factor of Safety: 0.72\n  Max Deflection: 6.72e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.90721000780647,
      "fos_buckling": 0.7160046014150434,
      "fos_yielding": 1.8982066068477523,
      "deflection": 0.0067179541473894495,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3100": {
      "node_id": "node_3100",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n  Mass: 185.09 kg\n  Factor of Safety: 0.85\n  Max Deflection: 6.54e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 185.0850364693357,
      "fos_buckling": 0.8482101872920625,
      "fos_yielding": 1.897895240551446,
      "deflection": 0.006540490754149502,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002280)"
      },
      "parent_node_id": "node_3099",
      "improvement_over_parent": null
    },
    "node_3101": {
      "node_id": "node_3101",
      "content": "MODIFICATION: Increase 14 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0043)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n  Mass: 188.67 kg\n  Factor of Safety: 0.82\n  Max Deflection: 6.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.6681671121986,
      "fos_buckling": 0.8189628007189557,
      "fos_yielding": 1.897572143624112,
      "deflection": 0.006525472386429069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.279)"
      },
      "parent_node_id": "node_3100",
      "improvement_over_parent": null
    },
    "node_3102": {
      "node_id": "node_3102",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 242.00 kg\n  Factor of Safety: 1.01\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.99728396062244,
      "fos_buckling": 1.010485078889172,
      "fos_yielding": 2.4297706328638133,
      "deflection": 0.00509878927539486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.311)"
      },
      "parent_node_id": "node_3101",
      "improvement_over_parent": null
    },
    "node_3103": {
      "node_id": "node_3103",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 247.00 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.85e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.00051056928876,
      "fos_buckling": 0.9512576952895531,
      "fos_yielding": 2.517170162083163,
      "deflection": 0.004848866828340652,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3102",
      "improvement_over_parent": null
    },
    "node_3104": {
      "node_id": "node_3104",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0057)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 260.75 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.93e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 260.74997903547614,
      "fos_buckling": 1.5003684334188996,
      "fos_yielding": 2.6535443742927383,
      "deflection": 0.003926911990081873,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3103",
      "improvement_over_parent": null
    },
    "node_3105": {
      "node_id": "node_3105",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3104",
      "improvement_over_parent": null
    },
    "node_3106": {
      "node_id": "node_3106",
      "content": "INITIAL DESIGN (Trace 446)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 199.59 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.45e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.58632329829578,
      "fos_buckling": 0.6740695055398624,
      "fos_yielding": 1.6943472907839614,
      "deflection": 0.006445433848026814,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3107": {
      "node_id": "node_3107",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 206.23 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.40e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.22892352711511,
      "fos_buckling": 0.6733074508094561,
      "fos_yielding": 1.6937039404751497,
      "deflection": 0.006398564855849598,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_3106",
      "improvement_over_parent": null
    },
    "node_3108": {
      "node_id": "node_3108",
      "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 209.35 kg\n  Factor of Safety: 0.67\n  Max Deflection: 6.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 209.34897151119605,
      "fos_buckling": 0.6731287309673234,
      "fos_yielding": 2.430659346836655,
      "deflection": 0.006060177501000676,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.531)"
      },
      "parent_node_id": "node_3107",
      "improvement_over_parent": null
    },
    "node_3109": {
      "node_id": "node_3109",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 217.19 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.60e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.18773452917551,
      "fos_buckling": 0.6728296013298481,
      "fos_yielding": 2.4288528110747407,
      "deflection": 0.005598233838601924,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_3108",
      "improvement_over_parent": null
    },
    "node_3110": {
      "node_id": "node_3110",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 236.28 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.27747830398297,
      "fos_buckling": 0.6724657248045757,
      "fos_yielding": 2.467499243417795,
      "deflection": 0.005093150257884551,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_3109",
      "improvement_over_parent": null
    },
    "node_3111": {
      "node_id": "node_3111",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5326043858751,
      "fos_buckling": 1.5408401105162821,
      "fos_yielding": 2.64936279514598,
      "deflection": 0.003959898119950288,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_3110",
      "improvement_over_parent": null
    },
    "node_3112": {
      "node_id": "node_3112",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3111",
      "improvement_over_parent": null
    },
    "node_3113": {
      "node_id": "node_3113",
      "content": "INITIAL DESIGN (Trace 447)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 150.15 kg\n  Factor of Safety: 0.04\n  Max Deflection: 6.86e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.1504535179383,
      "fos_buckling": 0.04186753598010068,
      "fos_yielding": 0.4939254564277433,
      "deflection": 6857966482212.65,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3114": {
      "node_id": "node_3114",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0012)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 164.07 kg\n  Factor of Safety: 0.05\n  Max Deflection: 1.00e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.07297473579726,
      "fos_buckling": 0.05389626080755113,
      "fos_yielding": 0.15745254948920648,
      "deflection": 100269737412920.67,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003356)"
      },
      "parent_node_id": "node_3113",
      "improvement_over_parent": null
    },
    "node_3115": {
      "node_id": "node_3115",
      "content": "MODIFICATION: Increase 10 thickness by 37%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 165.05 kg\n  Factor of Safety: 0.25\n  Max Deflection: 2.35e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.04801495924576,
      "fos_buckling": 0.24681585325632102,
      "fos_yielding": 0.629810197956826,
      "deflection": 23506595558792.426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.372)"
      },
      "parent_node_id": "node_3114",
      "improvement_over_parent": null
    },
    "node_3116": {
      "node_id": "node_3116",
      "content": "MODIFICATION: Increase 10 thickness by 41%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 166.46 kg\n  Factor of Safety: 0.01\n  Max Deflection: 6.17e+13 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 166.45999477200795,
      "fos_buckling": 0.01046688399502517,
      "fos_yielding": 0.12316029566579435,
      "deflection": 61671635772812.28,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.406)"
      },
      "parent_node_id": "node_3115",
      "improvement_over_parent": null
    },
    "node_3117": {
      "node_id": "node_3117",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 173.86 kg\n  Factor of Safety: 0.84\n  Max Deflection: 6.45e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.86001137060296,
      "fos_buckling": 0.8426240525384862,
      "fos_yielding": 1.8847803344916023,
      "deflection": 0.006449124195019891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003204)"
      },
      "parent_node_id": "node_3116",
      "improvement_over_parent": null
    },
    "node_3118": {
      "node_id": "node_3118",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n\nPerformance:\n  Mass: 188.63 kg\n  Factor of Safety: 0.77\n  Max Deflection: 6.13e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.628365842851,
      "fos_buckling": 0.7655795135954175,
      "fos_yielding": 1.9528160232948808,
      "deflection": 0.006127886173635473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003456)"
      },
      "parent_node_id": "node_3117",
      "improvement_over_parent": null
    },
    "node_3119": {
      "node_id": "node_3119",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 243.79 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.79224575127407,
      "fos_buckling": 0.9510751674322689,
      "fos_yielding": 2.5168485878010483,
      "deflection": 0.004756076559652833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.321)"
      },
      "parent_node_id": "node_3118",
      "improvement_over_parent": null
    },
    "node_3120": {
      "node_id": "node_3120",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.54171421746145,
      "fos_buckling": 1.540903884683948,
      "fos_yielding": 2.6495537464720327,
      "deflection": 0.003959678712379207,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3119",
      "improvement_over_parent": null
    },
    "node_3121": {
      "node_id": "node_3121",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3120",
      "improvement_over_parent": null
    },
    "node_3122": {
      "node_id": "node_3122",
      "content": "INITIAL DESIGN (Trace 448)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 150.91 kg\n  Factor of Safety: 0.30\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": 150.9144407288277,
      "fos_buckling": 0.29708617205251536,
      "fos_yielding": 0.9046994682689712,
      "deflection": 0.018201739140938398,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3123": {
      "node_id": "node_3123",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0022)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0044)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0016)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 190.26 kg\n  Factor of Safety: 0.36\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": 190.2601684959921,
      "fos_buckling": 0.36375736426721955,
      "fos_yielding": 1.137592233805463,
      "deflection": 0.014474720030482861,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.279)"
      },
      "parent_node_id": "node_3122",
      "improvement_over_parent": null
    },
    "node_3124": {
      "node_id": "node_3124",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.83 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.12e-02 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.83253109319804,
      "fos_buckling": 0.4533808816678435,
      "fos_yielding": 1.476176367130628,
      "deflection": 0.011153864964216716,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.332)"
      },
      "parent_node_id": "node_3123",
      "improvement_over_parent": null
    },
    "node_3125": {
      "node_id": "node_3125",
      "content": "MODIFICATION: Increase 15 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.06 kg\n  Factor of Safety: 0.45\n  Max Deflection: 1.11e-02 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.06194141448015,
      "fos_buckling": 0.45333305500985016,
      "fos_yielding": 1.4760211609566296,
      "deflection": 0.01110945832140858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.253)"
      },
      "parent_node_id": "node_3124",
      "improvement_over_parent": null
    },
    "node_3126": {
      "node_id": "node_3126",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6988049421337,
      "fos_buckling": 1.54166253148271,
      "fos_yielding": 2.6511262622700267,
      "deflection": 0.003957539689604637,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_3125",
      "improvement_over_parent": null
    },
    "node_3127": {
      "node_id": "node_3127",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3126",
      "improvement_over_parent": null
    },
    "node_3128": {
      "node_id": "node_3128",
      "content": "INITIAL DESIGN (Trace 449)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0017)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0013)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0012)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0014)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0013)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0018)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0017)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0013)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0017)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0015)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0016)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0025)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0013)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0011)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0020)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0020)]\n\nPerformance:\n  Mass: 110.89 kg\n  Factor of Safety: 0.67\n  Max Deflection: 9.83e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 110.88729305243976,
      "fos_buckling": 0.665335023783417,
      "fos_yielding": 0.8744197780247354,
      "deflection": 0.009833659136388428,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3129": {
      "node_id": "node_3129",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0015)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0015)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 126.63 kg\n  Factor of Safety: 0.75\n  Max Deflection: 8.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.62843459437863,
      "fos_buckling": 0.7522526878712913,
      "fos_yielding": 0.9991846996048327,
      "deflection": 0.008615200112375411,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.148)"
      },
      "parent_node_id": "node_3128",
      "improvement_over_parent": null
    },
    "node_3130": {
      "node_id": "node_3130",
      "content": "MODIFICATION: Increase 15 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0015)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 128.09 kg\n  Factor of Safety: 0.77\n  Max Deflection: 8.54e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.0936302546663,
      "fos_buckling": 0.7696253169232109,
      "fos_yielding": 0.9931235282769071,
      "deflection": 0.008538179825418836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.277)"
      },
      "parent_node_id": "node_3129",
      "improvement_over_parent": null
    },
    "node_3131": {
      "node_id": "node_3131",
      "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 129.54 kg\n  Factor of Safety: 0.81\n  Max Deflection: 8.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.53618016179738,
      "fos_buckling": 0.8110233093318541,
      "fos_yielding": 1.1128553566277821,
      "deflection": 0.008120780779995082,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.395)"
      },
      "parent_node_id": "node_3130",
      "improvement_over_parent": null
    },
    "node_3132": {
      "node_id": "node_3132",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0018)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 162.77 kg\n  Factor of Safety: 1.00\n  Max Deflection: 6.47e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.77361999566835,
      "fos_buckling": 0.9975875130519936,
      "fos_yielding": 1.400296981642306,
      "deflection": 0.006471846548310734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.271)"
      },
      "parent_node_id": "node_3131",
      "improvement_over_parent": null
    },
    "node_3133": {
      "node_id": "node_3133",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 207.30 kg\n  Factor of Safety: 1.23\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.29809384157545,
      "fos_buckling": 1.2337762938482573,
      "fos_yielding": 1.786995881267267,
      "deflection": 0.005091386159848931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.294)"
      },
      "parent_node_id": "node_3132",
      "improvement_over_parent": null
    },
    "node_3134": {
      "node_id": "node_3134",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.47 kg\n  Factor of Safety: 1.47\n  Max Deflection: 4.14e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.46728466330177,
      "fos_buckling": 1.471637466276552,
      "fos_yielding": 2.2078947657008015,
      "deflection": 0.004139612462977025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_3133",
      "improvement_over_parent": null
    },
    "node_3135": {
      "node_id": "node_3135",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 258.07 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.0730170657487,
      "fos_buckling": 1.54348831949919,
      "fos_yielding": 2.654850339641006,
      "deflection": 0.003951737089995356,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.441)"
      },
      "parent_node_id": "node_3134",
      "improvement_over_parent": null
    },
    "node_3136": {
      "node_id": "node_3136",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3135",
      "improvement_over_parent": null
    },
    "node_3137": {
      "node_id": "node_3137",
      "content": "INITIAL DESIGN (Trace 450)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 178.22 kg\n  Factor of Safety: 1.04\n  Max Deflection: 3.69e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.22119983230112,
      "fos_buckling": 1.0365113267006696,
      "fos_yielding": 3.3441976586235094,
      "deflection": 3693125648804.2397,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3138": {
      "node_id": "node_3138",
      "content": "MODIFICATION: Increase 15 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 182.86 kg\n  Factor of Safety: 0.02\n  Max Deflection: 1.34e+14 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.86288467638514,
      "fos_buckling": 0.018927279856361577,
      "fos_yielding": 0.08827163706584573,
      "deflection": 133655286796746.16,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.493)"
      },
      "parent_node_id": "node_3137",
      "improvement_over_parent": null
    },
    "node_3139": {
      "node_id": "node_3139",
      "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 184.25 kg\n  Factor of Safety: 0.08\n  Max Deflection: 4.14e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.25462624495185,
      "fos_buckling": 0.07570911942544631,
      "fos_yielding": 0.3530865482633829,
      "deflection": 41376131133720.695,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.264)"
      },
      "parent_node_id": "node_3138",
      "improvement_over_parent": null
    },
    "node_3140": {
      "node_id": "node_3140",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n\nPerformance:\n  Mass: 188.35 kg\n  Factor of Safety: 0.50\n  Max Deflection: 6.39e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.34727506841278,
      "fos_buckling": 0.5008337065050856,
      "fos_yielding": 2.088295075302148,
      "deflection": 6387428937478.891,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002460)"
      },
      "parent_node_id": "node_3139",
      "improvement_over_parent": null
    },
    "node_3141": {
      "node_id": "node_3141",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 192.21 kg\n  Factor of Safety: 0.57\n  Max Deflection: 6.20e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.2064259318036,
      "fos_buckling": 0.5704766274354,
      "fos_yielding": 2.0255881133483635,
      "deflection": 0.006202710025002294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002389)"
      },
      "parent_node_id": "node_3140",
      "improvement_over_parent": null
    },
    "node_3142": {
      "node_id": "node_3142",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 234.94 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.93791356858299,
      "fos_buckling": 0.6724068246973995,
      "fos_yielding": 2.4674384821426094,
      "deflection": 0.005089340553533859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.244)"
      },
      "parent_node_id": "node_3141",
      "improvement_over_parent": null
    },
    "node_3143": {
      "node_id": "node_3143",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 256.19 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.19303965047516,
      "fos_buckling": 1.5391454761418484,
      "fos_yielding": 2.6557624739010945,
      "deflection": 0.003953141359365264,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_3142",
      "improvement_over_parent": null
    },
    "node_3144": {
      "node_id": "node_3144",
      "content": "MODIFICATION: Increase 16 thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0061)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 261.18 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.90e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 261.1784530008027,
      "fos_buckling": 1.5379819199923597,
      "fos_yielding": 2.658699895817892,
      "deflection": 0.0039038511233638737,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.269)"
      },
      "parent_node_id": "node_3143",
      "improvement_over_parent": null
    },
    "node_3145": {
      "node_id": "node_3145",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3144",
      "improvement_over_parent": null
    },
    "node_3146": {
      "node_id": "node_3146",
      "content": "INITIAL DESIGN (Trace 451)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 158.86 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.14e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.86426531243637,
      "fos_buckling": 0.201348274230887,
      "fos_yielding": 1.0418483878516525,
      "deflection": 0.01138393286189494,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3147": {
      "node_id": "node_3147",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 186.28 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.72e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.2823593217998,
      "fos_buckling": 0.23097848599614176,
      "fos_yielding": 1.2200329789840998,
      "deflection": 0.009720408765320983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3146",
      "improvement_over_parent": null
    },
    "node_3148": {
      "node_id": "node_3148",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n\nPerformance:\n  Mass: 213.04 kg\n  Factor of Safety: 1.10\n  Max Deflection: 4.77e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 213.04376258365374,
      "fos_buckling": 1.1046478129737978,
      "fos_yielding": 2.221531918635538,
      "deflection": 0.004765924261195545,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004870)"
      },
      "parent_node_id": "node_3147",
      "improvement_over_parent": null
    },
    "node_3149": {
      "node_id": "node_3149",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 254.21 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.2109440491601,
      "fos_buckling": 1.2912630760632566,
      "fos_yielding": 2.6453888140246136,
      "deflection": 0.004003724878476286,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.212)"
      },
      "parent_node_id": "node_3148",
      "improvement_over_parent": null
    },
    "node_3150": {
      "node_id": "node_3150",
      "content": "MODIFICATION: Increase 12 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.27 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.27072980787875,
      "fos_buckling": 1.5398619544711067,
      "fos_yielding": 2.6466661833591183,
      "deflection": 0.003963853341995248,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.435)"
      },
      "parent_node_id": "node_3149",
      "improvement_over_parent": null
    },
    "node_3151": {
      "node_id": "node_3151",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3150",
      "improvement_over_parent": null
    },
    "node_3152": {
      "node_id": "node_3152",
      "content": "INITIAL DESIGN (Trace 452)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 184.22 kg\n  Factor of Safety: 0.67\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.21917935131094,
      "fos_buckling": 0.6678831976024008,
      "fos_yielding": 1.996781704730947,
      "deflection": 0.005147621280852444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3153": {
      "node_id": "node_3153",
      "content": "MODIFICATION: Increase 19 thickness by 61%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 190.17 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.00e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 190.17403569335983,
      "fos_buckling": 0.6588636595310499,
      "fos_yielding": 1.9950696088645687,
      "deflection": 0.004999822629085256,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(19, thickness, 1.610)"
      },
      "parent_node_id": "node_3152",
      "improvement_over_parent": null
    },
    "node_3154": {
      "node_id": "node_3154",
      "content": "MODIFICATION: Increase 14 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n\nPerformance:\n  Mass: 192.63 kg\n  Factor of Safety: 0.58\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.63312451275345,
      "fos_buckling": 0.5805585138154296,
      "fos_yielding": 1.9809136815700956,
      "deflection": 0.004928251046417549,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.323)"
      },
      "parent_node_id": "node_3153",
      "improvement_over_parent": null
    },
    "node_3155": {
      "node_id": "node_3155",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n\nPerformance:\n  Mass: 198.68 kg\n  Factor of Safety: 1.24\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.67922223634935,
      "fos_buckling": 1.240591653246462,
      "fos_yielding": 2.0493366490947476,
      "deflection": 0.005115491308071987,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002449)"
      },
      "parent_node_id": "node_3154",
      "improvement_over_parent": null
    },
    "node_3156": {
      "node_id": "node_3156",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50851849743464,
      "fos_buckling": 1.5406770713165148,
      "fos_yielding": 2.6490243688469834,
      "deflection": 0.003960240215419598,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_3155",
      "improvement_over_parent": null
    },
    "node_3157": {
      "node_id": "node_3157",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3156",
      "improvement_over_parent": null
    },
    "node_3158": {
      "node_id": "node_3158",
      "content": "INITIAL DESIGN (Trace 453)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 197.15 kg\n  Factor of Safety: 1.10\n  Max Deflection: 5.21e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.1493342375376,
      "fos_buckling": 1.1015499669263509,
      "fos_yielding": 1.6748948542194118,
      "deflection": 0.005207797911310258,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3159": {
      "node_id": "node_3159",
      "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 197.78 kg\n  Factor of Safety: 1.21\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.78355744611062,
      "fos_buckling": 1.210942631791455,
      "fos_yielding": 1.6877943127957173,
      "deflection": 0.005191067845619792,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.209)"
      },
      "parent_node_id": "node_3158",
      "improvement_over_parent": null
    },
    "node_3160": {
      "node_id": "node_3160",
      "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 200.05 kg\n  Factor of Safety: 1.25\n  Max Deflection: 5.08e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.0514801733952,
      "fos_buckling": 1.2479817637700628,
      "fos_yielding": 2.0634722381698514,
      "deflection": 0.005080788258083687,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.575)"
      },
      "parent_node_id": "node_3159",
      "improvement_over_parent": null
    },
    "node_3161": {
      "node_id": "node_3161",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6407520067114,
      "fos_buckling": 1.541366219624704,
      "fos_yielding": 2.6505070841759286,
      "deflection": 0.003958225490294516,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.316)"
      },
      "parent_node_id": "node_3160",
      "improvement_over_parent": null
    },
    "node_3162": {
      "node_id": "node_3162",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3161",
      "improvement_over_parent": null
    },
    "node_3163": {
      "node_id": "node_3163",
      "content": "INITIAL DESIGN (Trace 454)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 221.73 kg\n  Factor of Safety: 0.33\n  Max Deflection: 5.31e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 221.72873102373362,
      "fos_buckling": 0.3332647613386298,
      "fos_yielding": 2.4018566229765947,
      "deflection": 0.005313881390946125,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3164": {
      "node_id": "node_3164",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 231.70 kg\n  Factor of Safety: 0.67\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 231.70048442242927,
      "fos_buckling": 0.6663915103967312,
      "fos_yielding": 2.549293842724086,
      "deflection": 0.004435770910976096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_3163",
      "improvement_over_parent": null
    },
    "node_3165": {
      "node_id": "node_3165",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 249.69 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.68984898908917,
      "fos_buckling": 0.729050771415841,
      "fos_yielding": 2.561814642636118,
      "deflection": 0.003815721195720548,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)"
      },
      "parent_node_id": "node_3164",
      "improvement_over_parent": null
    },
    "node_3166": {
      "node_id": "node_3166",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5286120070686,
      "fos_buckling": 1.5408300725259692,
      "fos_yielding": 2.6493645373162065,
      "deflection": 0.00395992223230533,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_3165",
      "improvement_over_parent": null
    },
    "node_3167": {
      "node_id": "node_3167",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3166",
      "improvement_over_parent": null
    },
    "node_3168": {
      "node_id": "node_3168",
      "content": "INITIAL DESIGN (Trace 455)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 195.99 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.81e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.989600813279,
      "fos_buckling": 0.6564058544282035,
      "fos_yielding": 2.119915434268598,
      "deflection": 0.005813531766759531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3169": {
      "node_id": "node_3169",
      "content": "MODIFICATION: Increase 11 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 199.29 kg\n  Factor of Safety: 0.66\n  Max Deflection: 5.81e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.29422119997972,
      "fos_buckling": 0.6564058544282035,
      "fos_yielding": 2.119915434268598,
      "deflection": 0.005813531766759531,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.656)"
      },
      "parent_node_id": "node_3168",
      "improvement_over_parent": null
    },
    "node_3170": {
      "node_id": "node_3170",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 203.10 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.10383812176877,
      "fos_buckling": 1.169953447950709,
      "fos_yielding": 2.13595687655707,
      "deflection": 0.004924008774043658,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002356)"
      },
      "parent_node_id": "node_3169",
      "improvement_over_parent": null
    },
    "node_3171": {
      "node_id": "node_3171",
      "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0042)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n\nPerformance:\n  Mass: 206.28 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.27907858505614,
      "fos_buckling": 1.1598309544380785,
      "fos_yielding": 2.1470706864640245,
      "deflection": 0.004870955724524425,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.439)"
      },
      "parent_node_id": "node_3170",
      "improvement_over_parent": null
    },
    "node_3172": {
      "node_id": "node_3172",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 255.66 kg\n  Factor of Safety: 1.40\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.65643831132488,
      "fos_buckling": 1.3962343734040576,
      "fos_yielding": 2.655118478738367,
      "deflection": 0.003941920968865486,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.263)"
      },
      "parent_node_id": "node_3171",
      "improvement_over_parent": null
    },
    "node_3173": {
      "node_id": "node_3173",
      "content": "MODIFICATION: Increase 20 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0053)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0037)]\n\nPerformance:\n  Mass: 256.62 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.61683348053,
      "fos_buckling": 1.4147293812829043,
      "fos_yielding": 2.65533514595571,
      "deflection": 0.003930089348596778,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.229)"
      },
      "parent_node_id": "node_3172",
      "improvement_over_parent": null
    },
    "node_3174": {
      "node_id": "node_3174",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 456)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 176.51 kg\n  Factor of Safety: 0.52\n  Max Deflection: 6.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.514355202236,
      "fos_buckling": 0.5211915955476929,
      "fos_yielding": 1.850696445382079,
      "deflection": 0.006994458287948276,
      "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: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n\nPerformance:\n  Mass: 193.52 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.50e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.52117246064583,
      "fos_buckling": 0.9782961872221853,
      "fos_yielding": 1.9744693156911624,
      "deflection": 0.00550472921622927,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003812)"
      },
      "parent_node_id": "node_3175",
      "improvement_over_parent": null
    },
    "node_3177": {
      "node_id": "node_3177",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n\nPerformance:\n  Mass: 204.99 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.99013150807266,
      "fos_buckling": 1.2620536732364216,
      "fos_yielding": 2.1615583645975245,
      "deflection": 0.004917521586587356,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002642)"
      },
      "parent_node_id": "node_3176",
      "improvement_over_parent": null
    },
    "node_3178": {
      "node_id": "node_3178",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 252.67 kg\n  Factor of Safety: 1.50\n  Max Deflection: 4.00e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 252.6713842853725,
      "fos_buckling": 1.5018642327835554,
      "fos_yielding": 2.6575712061341394,
      "deflection": 0.004000970340263654,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.255)"
      },
      "parent_node_id": "node_3177",
      "improvement_over_parent": null
    },
    "node_3179": {
      "node_id": "node_3179",
      "content": "MODIFICATION: Increase 14 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0053)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n\nPerformance:\n  Mass: 257.21 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.20633670224134,
      "fos_buckling": 1.5049781724882776,
      "fos_yielding": 2.6389448241901743,
      "deflection": 0.003956969918505073,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.377)"
      },
      "parent_node_id": "node_3178",
      "improvement_over_parent": null
    },
    "node_3180": {
      "node_id": "node_3180",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 457)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 187.19 kg\n  Factor of Safety: 0.44\n  Max Deflection: 6.20e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.18911744309122,
      "fos_buckling": 0.4372507125368879,
      "fos_yielding": 1.33637343794041,
      "deflection": 0.006201683195414179,
      "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 12 thickness by 49%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 195.53 kg\n  Factor of Safety: 0.46\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.52836874410636,
      "fos_buckling": 0.4608408926740482,
      "fos_yielding": 1.3415776112046962,
      "deflection": 0.006025569021638041,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.495)"
      },
      "parent_node_id": "node_3181",
      "improvement_over_parent": null
    },
    "node_3183": {
      "node_id": "node_3183",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n\nPerformance:\n  Mass: 203.80 kg\n  Factor of Safety: 1.12\n  Max Deflection: 5.30e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.79532148314505,
      "fos_buckling": 1.119764302647321,
      "fos_yielding": 1.4403309363503214,
      "deflection": 0.005298125740806853,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002985)"
      },
      "parent_node_id": "node_3182",
      "improvement_over_parent": null
    },
    "node_3184": {
      "node_id": "node_3184",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 246.07 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.39e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.07304451341423,
      "fos_buckling": 1.3234265950562536,
      "fos_yielding": 1.7454827869334617,
      "deflection": 0.004393349476568818,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.227)"
      },
      "parent_node_id": "node_3183",
      "improvement_over_parent": null
    },
    "node_3185": {
      "node_id": "node_3185",
      "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 248.42 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.33e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.42224119839716,
      "fos_buckling": 1.3443954177280082,
      "fos_yielding": 1.7500971790261657,
      "deflection": 0.004325127196142668,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.429)"
      },
      "parent_node_id": "node_3184",
      "improvement_over_parent": null
    },
    "node_3186": {
      "node_id": "node_3186",
      "content": "MODIFICATION: Increase 1 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 252.08 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.0815415019523,
      "fos_buckling": 1.3501477674239455,
      "fos_yielding": 2.6571274506670517,
      "deflection": 0.004022057910423295,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.600)"
      },
      "parent_node_id": "node_3185",
      "improvement_over_parent": null
    },
    "node_3187": {
      "node_id": "node_3187",
      "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 255.10 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.10233227463056,
      "fos_buckling": 1.3508929332634245,
      "fos_yielding": 2.6512071792017213,
      "deflection": 0.0039892458707036635,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.393)"
      },
      "parent_node_id": "node_3186",
      "improvement_over_parent": null
    },
    "node_3188": {
      "node_id": "node_3188",
      "content": "MODIFICATION: Increase 12 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0079)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 264.56 kg\n  Factor of Safety: 1.35\n  Max Deflection: 3.90e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 264.5606284049266,
      "fos_buckling": 1.3492369549931802,
      "fos_yielding": 2.6608028788453195,
      "deflection": 0.00390118528142069,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.337)"
      },
      "parent_node_id": "node_3187",
      "improvement_over_parent": null
    },
    "node_3189": {
      "node_id": "node_3189",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3188",
      "improvement_over_parent": null
    },
    "node_3190": {
      "node_id": "node_3190",
      "content": "INITIAL DESIGN (Trace 458)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 165.04 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.94e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.0398260658214,
      "fos_buckling": 0.654522117988433,
      "fos_yielding": 1.8324595579261094,
      "deflection": 0.006944451646210205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3191": {
      "node_id": "node_3191",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0019)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0019)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0025)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n\nPerformance:\n  Mass: 175.01 kg\n  Factor of Safety: 0.89\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.00726177833653,
      "fos_buckling": 0.8858414572266491,
      "fos_yielding": 1.9223618987590045,
      "deflection": 0.005746511298491722,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002736)"
      },
      "parent_node_id": "node_3190",
      "improvement_over_parent": null
    },
    "node_3192": {
      "node_id": "node_3192",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0029)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n  Mass: 196.72 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.71705383659784,
      "fos_buckling": 0.9858922485300878,
      "fos_yielding": 2.1579155348356354,
      "deflection": 0.005118053624552573,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.133)"
      },
      "parent_node_id": "node_3191",
      "improvement_over_parent": null
    },
    "node_3193": {
      "node_id": "node_3193",
      "content": "MODIFICATION: Increase 17 thickness by 64%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0016)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n  Mass: 204.40 kg\n  Factor of Safety: 1.07\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.40422656847124,
      "fos_buckling": 1.0706495090306016,
      "fos_yielding": 2.1667813244603593,
      "deflection": 0.004932981243768208,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.645)"
      },
      "parent_node_id": "node_3192",
      "improvement_over_parent": null
    },
    "node_3194": {
      "node_id": "node_3194",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 250.97 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.96913238733316,
      "fos_buckling": 1.2903211474957546,
      "fos_yielding": 2.6543997571801308,
      "deflection": 0.004028191006116284,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3193",
      "improvement_over_parent": null
    },
    "node_3195": {
      "node_id": "node_3195",
      "content": "MODIFICATION: Increase 18 thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 256.22 kg\n  Factor of Safety: 1.29\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.2183338084252,
      "fos_buckling": 1.2909165970299246,
      "fos_yielding": 2.6553867565060543,
      "deflection": 0.003989982441542212,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.332)"
      },
      "parent_node_id": "node_3194",
      "improvement_over_parent": null
    },
    "node_3196": {
      "node_id": "node_3196",
      "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.87 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.96e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.8710604403028,
      "fos_buckling": 1.4398260017803401,
      "fos_yielding": 2.6504280891129475,
      "deflection": 0.003962489523617673,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.541)"
      },
      "parent_node_id": "node_3195",
      "improvement_over_parent": null
    },
    "node_3197": {
      "node_id": "node_3197",
      "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0059)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0059)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 260.46 kg\n  Factor of Safety: 1.45\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 260.4612121697074,
      "fos_buckling": 1.4518305556655986,
      "fos_yielding": 2.663193295346286,
      "deflection": 0.0039293997770285865,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.385)"
      },
      "parent_node_id": "node_3196",
      "improvement_over_parent": null
    },
    "node_3198": {
      "node_id": "node_3198",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3197",
      "improvement_over_parent": null
    },
    "node_3199": {
      "node_id": "node_3199",
      "content": "INITIAL DESIGN (Trace 459)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 164.47 kg\n  Factor of Safety: 0.05\n  Max Deflection: 3.04e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.4657950832568,
      "fos_buckling": 0.04638983299993701,
      "fos_yielding": 0.5929806040092948,
      "deflection": 0.030389654152264935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3200": {
      "node_id": "node_3200",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n\nPerformance:\n  Mass: 170.85 kg\n  Factor of Safety: 0.20\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": 170.84899728353554,
      "fos_buckling": 0.1982019247058924,
      "fos_yielding": 0.7518569730852017,
      "deflection": 0.017757348574342906,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002596)"
      },
      "parent_node_id": "node_3199",
      "improvement_over_parent": null
    },
    "node_3201": {
      "node_id": "node_3201",
      "content": "MODIFICATION: Increase 18 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n\nPerformance:\n  Mass: 172.50 kg\n  Factor of Safety: 0.23\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": 172.4956192306919,
      "fos_buckling": 0.23229675177437606,
      "fos_yielding": 0.751739307478242,
      "deflection": 0.017562474013266636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.284)"
      },
      "parent_node_id": "node_3200",
      "improvement_over_parent": null
    },
    "node_3202": {
      "node_id": "node_3202",
      "content": "MODIFICATION: Increase 4 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n\nPerformance:\n  Mass: 173.99 kg\n  Factor of Safety: 0.23\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": 173.99127982504677,
      "fos_buckling": 0.2322756097813929,
      "fos_yielding": 1.1874283342566712,
      "deflection": 0.017132532129696797,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.623)"
      },
      "parent_node_id": "node_3201",
      "improvement_over_parent": null
    },
    "node_3203": {
      "node_id": "node_3203",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0033)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n\nPerformance:\n  Mass: 181.02 kg\n  Factor of Safety: 0.26\n  Max Deflection: 9.60e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.02314919042846,
      "fos_buckling": 0.2637060580801864,
      "fos_yielding": 1.1870316977763817,
      "deflection": 0.009595976074951709,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003216)"
      },
      "parent_node_id": "node_3202",
      "improvement_over_parent": null
    },
    "node_3204": {
      "node_id": "node_3204",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 222.27 kg\n  Factor of Safety: 0.31\n  Max Deflection: 7.84e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.2701611204399,
      "fos_buckling": 0.30876475662014474,
      "fos_yielding": 1.4546293975221218,
      "deflection": 0.007837333784866745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.250)"
      },
      "parent_node_id": "node_3203",
      "improvement_over_parent": null
    },
    "node_3205": {
      "node_id": "node_3205",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 254.22 kg\n  Factor of Safety: 1.39\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.2201034941774,
      "fos_buckling": 1.3931972072018366,
      "fos_yielding": 2.657362858703626,
      "deflection": 0.004043539428998639,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)"
      },
      "parent_node_id": "node_3204",
      "improvement_over_parent": null
    },
    "node_3206": {
      "node_id": "node_3206",
      "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0042)]\n  M19: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 255.06 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.06328527540114,
      "fos_buckling": 1.372584287851146,
      "fos_yielding": 2.6569068408520407,
      "deflection": 0.004027714278381186,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.196)"
      },
      "parent_node_id": "node_3205",
      "improvement_over_parent": null
    },
    "node_3207": {
      "node_id": "node_3207",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3206",
      "improvement_over_parent": null
    },
    "node_3208": {
      "node_id": "node_3208",
      "content": "INITIAL DESIGN (Trace 460)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 157.80 kg\n  Factor of Safety: 0.20\n  Max Deflection: 1.16e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 157.80428758667497,
      "fos_buckling": 0.19759165384400834,
      "fos_yielding": 1.0206654343363202,
      "deflection": 0.011596156592762391,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3209": {
      "node_id": "node_3209",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 192.71 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.51e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.71352976085956,
      "fos_buckling": 0.2347828623459835,
      "fos_yielding": 1.2445679233208993,
      "deflection": 0.009509091561615479,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.239)"
      },
      "parent_node_id": "node_3208",
      "improvement_over_parent": null
    },
    "node_3210": {
      "node_id": "node_3210",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n  Mass: 219.99 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.63e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.99322042765934,
      "fos_buckling": 1.352415546097871,
      "fos_yielding": 2.267210441791852,
      "deflection": 0.004625483972727235,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004972)"
      },
      "parent_node_id": "node_3209",
      "improvement_over_parent": null
    },
    "node_3211": {
      "node_id": "node_3211",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6434451539871,
      "fos_buckling": 1.5408812615850955,
      "fos_yielding": 2.6506642484005227,
      "deflection": 0.00395812806373854,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.188)"
      },
      "parent_node_id": "node_3210",
      "improvement_over_parent": null
    },
    "node_3212": {
      "node_id": "node_3212",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3211",
      "improvement_over_parent": null
    },
    "node_3213": {
      "node_id": "node_3213",
      "content": "INITIAL DESIGN (Trace 461)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 215.07 kg\n  Factor of Safety: 1.09\n  Max Deflection: 4.71e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 215.07069195877014,
      "fos_buckling": 1.0908084286699666,
      "fos_yielding": 2.3029661802850176,
      "deflection": 0.0047052944972887575,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3214": {
      "node_id": "node_3214",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 248.64 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.64113954803761,
      "fos_buckling": 1.2415314996827018,
      "fos_yielding": 2.65717911208356,
      "deflection": 0.0040780472082961134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.171)"
      },
      "parent_node_id": "node_3213",
      "improvement_over_parent": null
    },
    "node_3215": {
      "node_id": "node_3215",
      "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 250.73 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.06e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.72998210020543,
      "fos_buckling": 1.2412184041989993,
      "fos_yielding": 2.653403202245392,
      "deflection": 0.004057191806564852,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.245)"
      },
      "parent_node_id": "node_3214",
      "improvement_over_parent": null
    },
    "node_3216": {
      "node_id": "node_3216",
      "content": "MODIFICATION: Increase 20 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.65 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.650681662968,
      "fos_buckling": 1.5413858283252142,
      "fos_yielding": 2.6505351368964125,
      "deflection": 0.003958100480033053,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.529)"
      },
      "parent_node_id": "node_3215",
      "improvement_over_parent": null
    },
    "node_3217": {
      "node_id": "node_3217",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3216",
      "improvement_over_parent": null
    },
    "node_3218": {
      "node_id": "node_3218",
      "content": "INITIAL DESIGN (Trace 462)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0009)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 123.93 kg\n  Factor of Safety: 0.51\n  Max Deflection: 9.58e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.93204763714225,
      "fos_buckling": 0.5144032131460196,
      "fos_yielding": 1.157037189900662,
      "deflection": 0.009583316476259401,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3219": {
      "node_id": "node_3219",
      "content": "MODIFICATION: Increase 9 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0009)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0020)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0018)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0018)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0028)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0023)]\n\nPerformance:\n  Mass: 125.28 kg\n  Factor of Safety: 0.51\n  Max Deflection: 9.42e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 125.284718404862,
      "fos_buckling": 0.5143233716872234,
      "fos_yielding": 1.178451808238161,
      "deflection": 0.009420723468492357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.383)"
      },
      "parent_node_id": "node_3218",
      "improvement_over_parent": null
    },
    "node_3220": {
      "node_id": "node_3220",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0017)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0011)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0036)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 158.51 kg\n  Factor of Safety: 0.63\n  Max Deflection: 7.46e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 158.50919554275353,
      "fos_buckling": 0.6345384593451616,
      "fos_yielding": 1.4932288400190201,
      "deflection": 0.007457960088866572,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_3219",
      "improvement_over_parent": null
    },
    "node_3221": {
      "node_id": "node_3221",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.69 kg\n  Factor of Safety: 0.77\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.68936646547598,
      "fos_buckling": 0.771009131772846,
      "fos_yielding": 1.875582539827814,
      "deflection": 0.0059610926406217825,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_3220",
      "improvement_over_parent": null
    },
    "node_3222": {
      "node_id": "node_3222",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 247.99 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.9851747247509,
      "fos_buckling": 0.9252491945640097,
      "fos_yielding": 2.3476608229366924,
      "deflection": 0.0047870737106962815,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.272)"
      },
      "parent_node_id": "node_3221",
      "improvement_over_parent": null
    },
    "node_3223": {
      "node_id": "node_3223",
      "content": "MODIFICATION: Increase 2 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.66 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.66353921957875,
      "fos_buckling": 0.924897294773861,
      "fos_yielding": 2.633083550530775,
      "deflection": 0.004618796212200894,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.460)"
      },
      "parent_node_id": "node_3222",
      "improvement_over_parent": null
    },
    "node_3224": {
      "node_id": "node_3224",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 255.38 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.38035846894033,
      "fos_buckling": 1.2254878302143561,
      "fos_yielding": 2.652645760979893,
      "deflection": 0.003996853215686134,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_3223",
      "improvement_over_parent": null
    },
    "node_3225": {
      "node_id": "node_3225",
      "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.25427331143214,
      "fos_buckling": 1.5394118033162565,
      "fos_yielding": 2.6465048321343256,
      "deflection": 0.003963925868829477,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.658)"
      },
      "parent_node_id": "node_3224",
      "improvement_over_parent": null
    },
    "node_3226": {
      "node_id": "node_3226",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 463)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0014)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 126.27 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.88e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 126.27198384179523,
      "fos_buckling": 0.030553082235769663,
      "fos_yielding": 0.3749422514383203,
      "deflection": 0.028770490776599315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3228": {
      "node_id": "node_3228",
      "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 127.99 kg\n  Factor of Safety: 0.03\n  Max Deflection: 2.81e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.99255916344758,
      "fos_buckling": 0.030550578581498847,
      "fos_yielding": 0.3749115270170694,
      "deflection": 0.028065737973019953,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.555)"
      },
      "parent_node_id": "node_3227",
      "improvement_over_parent": null
    },
    "node_3229": {
      "node_id": "node_3229",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n\nPerformance:\n  Mass: 140.06 kg\n  Factor of Safety: 0.03\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": 140.0585718026548,
      "fos_buckling": 0.03053303253181055,
      "fos_yielding": 0.37469620486648536,
      "deflection": 0.028153253379245614,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002647)"
      },
      "parent_node_id": "node_3228",
      "improvement_over_parent": null
    },
    "node_3230": {
      "node_id": "node_3230",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n\nPerformance:\n  Mass: 178.01 kg\n  Factor of Safety: 0.04\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": 178.01346162935067,
      "fos_buckling": 0.037731188216210534,
      "fos_yielding": 0.4754577480774295,
      "deflection": 0.022196353816869272,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_3229",
      "improvement_over_parent": null
    },
    "node_3231": {
      "node_id": "node_3231",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n\nPerformance:\n  Mass: 213.67 kg\n  Factor of Safety: 0.04\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": 213.67169568186384,
      "fos_buckling": 0.04407956273868461,
      "fos_yielding": 0.5698225394901827,
      "deflection": 0.018527967430951836,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.217)"
      },
      "parent_node_id": "node_3230",
      "improvement_over_parent": null
    },
    "node_3232": {
      "node_id": "node_3232",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 217.81 kg\n  Factor of Safety: 0.04\n  Max Deflection: 1.82e-02 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.81250439302997,
      "fos_buckling": 0.04407667610568936,
      "fos_yielding": 0.5697852235904384,
      "deflection": 0.018189331025594307,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002578)"
      },
      "parent_node_id": "node_3231",
      "improvement_over_parent": null
    },
    "node_3233": {
      "node_id": "node_3233",
      "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 248.14 kg\n  Factor of Safety: 0.05\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": 248.14185025429214,
      "fos_buckling": 0.049067151593680094,
      "fos_yielding": 0.6482896560617055,
      "deflection": 0.015991967226609605,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.153)"
      },
      "parent_node_id": "node_3232",
      "improvement_over_parent": null
    },
    "node_3234": {
      "node_id": "node_3234",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M7: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M8: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.70 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.704991233512,
      "fos_buckling": 1.5417111623236937,
      "fos_yielding": 2.651113906393117,
      "deflection": 0.003957331155883825,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_3233",
      "improvement_over_parent": null
    },
    "node_3235": {
      "node_id": "node_3235",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3234",
      "improvement_over_parent": null
    },
    "node_3236": {
      "node_id": "node_3236",
      "content": "INITIAL DESIGN (Trace 464)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 206.32 kg\n  Factor of Safety: 0.62\n  Max Deflection: 4.61e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 206.31629269429604,
      "fos_buckling": 0.6178983989879717,
      "fos_yielding": 2.1302039705934668,
      "deflection": 0.004608814772844238,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3237": {
      "node_id": "node_3237",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 248.42 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.84e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.41706852003233,
      "fos_buckling": 0.7264738778705727,
      "fos_yielding": 2.560313616149222,
      "deflection": 0.0038377726720528254,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.224)"
      },
      "parent_node_id": "node_3236",
      "improvement_over_parent": null
    },
    "node_3238": {
      "node_id": "node_3238",
      "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 249.58 kg\n  Factor of Safety: 0.73\n  Max Deflection: 3.82e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.58493834064623,
      "fos_buckling": 0.7287929337745175,
      "fos_yielding": 2.5607020833145335,
      "deflection": 0.003817313976915599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.361)"
      },
      "parent_node_id": "node_3237",
      "improvement_over_parent": null
    },
    "node_3239": {
      "node_id": "node_3239",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.42 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4237013586257,
      "fos_buckling": 1.5403018332617087,
      "fos_yielding": 2.6482314385547308,
      "deflection": 0.00396160160209516,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_3238",
      "improvement_over_parent": null
    },
    "node_3240": {
      "node_id": "node_3240",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 465)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 175.11 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.76e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.1128832760665,
      "fos_buckling": 0.9767834995425881,
      "fos_yielding": 1.8460268151034762,
      "deflection": 0.005756414538782385,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3242": {
      "node_id": "node_3242",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 204.89 kg\n  Factor of Safety: 1.12\n  Max Deflection: 4.93e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.88789665676384,
      "fos_buckling": 1.1191324783718768,
      "fos_yielding": 2.1569677534643663,
      "deflection": 0.004928282531004084,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3241",
      "improvement_over_parent": null
    },
    "node_3243": {
      "node_id": "node_3243",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 250.61 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.6081107772826,
      "fos_buckling": 1.324337089644726,
      "fos_yielding": 2.6327774867416807,
      "deflection": 0.004039738738212176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_3242",
      "improvement_over_parent": null
    },
    "node_3244": {
      "node_id": "node_3244",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.25 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.25071100610194,
      "fos_buckling": 1.5394349650287098,
      "fos_yielding": 2.646455493062833,
      "deflection": 0.003964216270240123,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_3243",
      "improvement_over_parent": null
    },
    "node_3245": {
      "node_id": "node_3245",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 466)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 202.11 kg\n  Factor of Safety: 0.75\n  Max Deflection: 5.49e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.11478937262535,
      "fos_buckling": 0.7505672517643021,
      "fos_yielding": 1.8990951470623154,
      "deflection": 0.005487471666725911,
      "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 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 228.32 kg\n  Factor of Safety: 0.84\n  Max Deflection: 4.86e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.32157690965252,
      "fos_buckling": 0.8385209872973081,
      "fos_yielding": 2.150716797083667,
      "deflection": 0.004862104181817681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.142)"
      },
      "parent_node_id": "node_3246",
      "improvement_over_parent": null
    },
    "node_3248": {
      "node_id": "node_3248",
      "content": "MODIFICATION: Increase 13 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 238.50 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.50164577703617,
      "fos_buckling": 1.1633198903073072,
      "fos_yielding": 2.4288013434560107,
      "deflection": 0.004478502731182116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.513)"
      },
      "parent_node_id": "node_3247",
      "improvement_over_parent": null
    },
    "node_3249": {
      "node_id": "node_3249",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.59 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59138955184363,
      "fos_buckling": 1.5406770514015933,
      "fos_yielding": 2.650182895414772,
      "deflection": 0.003958880173536083,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_3248",
      "improvement_over_parent": null
    },
    "node_3250": {
      "node_id": "node_3250",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3249",
      "improvement_over_parent": null
    },
    "node_3251": {
      "node_id": "node_3251",
      "content": "INITIAL DESIGN (Trace 467)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (16 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 175.29 kg\n  Factor of Safety: 0.02\n  Max Deflection: 2.07e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.28555996611541,
      "fos_buckling": 0.022670017318356044,
      "fos_yielding": 0.2507380381077997,
      "deflection": 20711798672169.11,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3252": {
      "node_id": "node_3252",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 183.41 kg\n  Factor of Safety: 0.80\n  Max Deflection: 7.37e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 183.4059970173391,
      "fos_buckling": 0.7971346270120067,
      "fos_yielding": 1.5322530322330896,
      "deflection": 0.007371364321603625,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003541)"
      },
      "parent_node_id": "node_3251",
      "improvement_over_parent": null
    },
    "node_3253": {
      "node_id": "node_3253",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 198.72 kg\n  Factor of Safety: 0.75\n  Max Deflection: 6.70e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.72207472572387,
      "fos_buckling": 0.7522819509221673,
      "fos_yielding": 2.065574174214568,
      "deflection": 0.006697608643471741,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003713)"
      },
      "parent_node_id": "node_3252",
      "improvement_over_parent": null
    },
    "node_3254": {
      "node_id": "node_3254",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 234.00 kg\n  Factor of Safety: 0.86\n  Max Deflection: 5.70e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 234.0025691227819,
      "fos_buckling": 0.8614635002428803,
      "fos_yielding": 2.428664448110151,
      "deflection": 0.005699576024046645,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_3253",
      "improvement_over_parent": null
    },
    "node_3255": {
      "node_id": "node_3255",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 247.75 kg\n  Factor of Safety: 0.93\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 247.7520375889693,
      "fos_buckling": 0.925621467215925,
      "fos_yielding": 2.4260284513601174,
      "deflection": 0.005114206865635472,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3254",
      "improvement_over_parent": null
    },
    "node_3256": {
      "node_id": "node_3256",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 252.76 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.58e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.75526419763563,
      "fos_buckling": 0.9254899526228295,
      "fos_yielding": 2.6291995818807594,
      "deflection": 0.004581498107202116,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3255",
      "improvement_over_parent": null
    },
    "node_3257": {
      "node_id": "node_3257",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M13: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M14: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M16: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 257.47 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4720834469972,
      "fos_buckling": 1.5405416614644762,
      "fos_yielding": 2.648731370858007,
      "deflection": 0.003960766338586736,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_3256",
      "improvement_over_parent": null
    },
    "node_3258": {
      "node_id": "node_3258",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3257",
      "improvement_over_parent": null
    },
    "node_3259": {
      "node_id": "node_3259",
      "content": "INITIAL DESIGN (Trace 468)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0022)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 176.16 kg\n  Factor of Safety: 0.72\n  Max Deflection: 7.17e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 176.15808171134603,
      "fos_buckling": 0.7192530889047815,
      "fos_yielding": 1.5957579849558545,
      "deflection": 0.007167737352988833,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3260": {
      "node_id": "node_3260",
      "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 179.15 kg\n  Factor of Safety: 0.72\n  Max Deflection: 6.97e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.14780143274498,
      "fos_buckling": 0.7193340806669056,
      "fos_yielding": 1.7004052426670906,
      "deflection": 0.006973857085175487,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.587)"
      },
      "parent_node_id": "node_3259",
      "improvement_over_parent": null
    },
    "node_3261": {
      "node_id": "node_3261",
      "content": "MODIFICATION: Increase 16 thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0021)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 182.39 kg\n  Factor of Safety: 0.69\n  Max Deflection: 6.92e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.3870649537078,
      "fos_buckling": 0.6874332039881325,
      "fos_yielding": 1.7366742575026473,
      "deflection": 0.0069225349608677935,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.302)"
      },
      "parent_node_id": "node_3260",
      "improvement_over_parent": null
    },
    "node_3262": {
      "node_id": "node_3262",
      "content": "MODIFICATION: Increase 2 thickness by 58%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 184.99 kg\n  Factor of Safety: 0.73\n  Max Deflection: 6.63e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.99037270865853,
      "fos_buckling": 0.7304973566728227,
      "fos_yielding": 2.0675808684567154,
      "deflection": 0.006629298850949593,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.580)"
      },
      "parent_node_id": "node_3261",
      "improvement_over_parent": null
    },
    "node_3263": {
      "node_id": "node_3263",
      "content": "MODIFICATION: Add member connecting joints 3 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n\nPerformance:\n  Mass: 199.73 kg\n  Factor of Safety: 0.80\n  Max Deflection: 5.79e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 199.72941613742742,
      "fos_buckling": 0.8042805125703362,
      "fos_yielding": 2.066706918242042,
      "deflection": 0.005791089178040574,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003568)"
      },
      "parent_node_id": "node_3262",
      "improvement_over_parent": null
    },
    "node_3264": {
      "node_id": "node_3264",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n\nPerformance:\n  Mass: 210.99 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.82e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.99270180980335,
      "fos_buckling": 1.3059925246633972,
      "fos_yielding": 2.174958557687314,
      "deflection": 0.004820536816459399,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003119)"
      },
      "parent_node_id": "node_3263",
      "improvement_over_parent": null
    },
    "node_3265": {
      "node_id": "node_3265",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.49 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4926770517606,
      "fos_buckling": 1.5406764467171836,
      "fos_yielding": 2.6486669888592207,
      "deflection": 0.003960607187725617,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_3264",
      "improvement_over_parent": null
    },
    "node_3266": {
      "node_id": "node_3266",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 469)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 244.84 kg\n  Factor of Safety: 1.29\n  Max Deflection: 4.10e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.8446578469955,
      "fos_buckling": 1.2929081682577672,
      "fos_yielding": 2.6614908468740697,
      "deflection": 0.004098639635568644,
      "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 17 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 249.25 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.25462164145208,
      "fos_buckling": 1.274221625277013,
      "fos_yielding": 2.6554753714659785,
      "deflection": 0.004066913513424051,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.355)"
      },
      "parent_node_id": "node_3267",
      "improvement_over_parent": null
    },
    "node_3269": {
      "node_id": "node_3269",
      "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 251.25 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.05e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.25148616170267,
      "fos_buckling": 1.2739167258684045,
      "fos_yielding": 2.651895145527351,
      "deflection": 0.004047112524606261,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.232)"
      },
      "parent_node_id": "node_3268",
      "improvement_over_parent": null
    },
    "node_3270": {
      "node_id": "node_3270",
      "content": "MODIFICATION: Increase 20 thickness by 46%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5297074950311,
      "fos_buckling": 1.5408520781029933,
      "fos_yielding": 2.6493623073616233,
      "deflection": 0.003959917165362804,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(20, thickness, 1.460)"
      },
      "parent_node_id": "node_3269",
      "improvement_over_parent": null
    },
    "node_3271": {
      "node_id": "node_3271",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3270",
      "improvement_over_parent": null
    },
    "node_3272": {
      "node_id": "node_3272",
      "content": "INITIAL DESIGN (Trace 470)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 192.48 kg\n  Factor of Safety: 0.06\n  Max Deflection: 3.00e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 192.4805404956931,
      "fos_buckling": 0.06380948990770853,
      "fos_yielding": 0.4387915666886495,
      "deflection": 29953747060676.418,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3273": {
      "node_id": "node_3273",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0051)]\n\nPerformance:\n  Mass: 220.36 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.35765745246255,
      "fos_buckling": 1.0392823252029677,
      "fos_yielding": 2.1203234610734087,
      "deflection": 0.005127088928455417,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005090)"
      },
      "parent_node_id": "node_3272",
      "improvement_over_parent": null
    },
    "node_3274": {
      "node_id": "node_3274",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 252.45 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.45049243740442,
      "fos_buckling": 1.1623392378638662,
      "fos_yielding": 2.4257196720685075,
      "deflection": 0.004483635571159659,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.160)"
      },
      "parent_node_id": "node_3273",
      "improvement_over_parent": null
    },
    "node_3275": {
      "node_id": "node_3275",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M20: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 257.45 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4537190460708,
      "fos_buckling": 1.540347651737843,
      "fos_yielding": 2.6485995088467,
      "deflection": 0.0039610533837813365,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3274",
      "improvement_over_parent": null
    },
    "node_3276": {
      "node_id": "node_3276",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3275",
      "improvement_over_parent": null
    },
    "node_3277": {
      "node_id": "node_3277",
      "content": "INITIAL DESIGN (Trace 471)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 173.91 kg\n  Factor of Safety: 1.07\n  Max Deflection: 5.72e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.91099609998744,
      "fos_buckling": 1.066157360822811,
      "fos_yielding": 1.8579974030723114,
      "deflection": 0.005718130476944556,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3278": {
      "node_id": "node_3278",
      "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0017)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0013)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 174.92 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.69e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 174.92031837214728,
      "fos_buckling": 1.049970549485906,
      "fos_yielding": 1.8550058508197396,
      "deflection": 0.00568866630919941,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.431)"
      },
      "parent_node_id": "node_3277",
      "improvement_over_parent": null
    },
    "node_3279": {
      "node_id": "node_3279",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 214.65 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.64676286834262,
      "fos_buckling": 1.2614165827892825,
      "fos_yielding": 2.2714643827924603,
      "deflection": 0.00464764551259344,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_3278",
      "improvement_over_parent": null
    },
    "node_3280": {
      "node_id": "node_3280",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 216.19 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.66e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 216.1944707451656,
      "fos_buckling": 1.2309643656870035,
      "fos_yielding": 2.2780057294242555,
      "deflection": 0.00466306292790047,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.323)"
      },
      "parent_node_id": "node_3279",
      "improvement_over_parent": null
    },
    "node_3281": {
      "node_id": "node_3281",
      "content": "MODIFICATION: Increase 11 thickness by 62%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 218.28 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.279542044178,
      "fos_buckling": 1.2324316500961847,
      "fos_yielding": 2.2802667948053075,
      "deflection": 0.004645900020050749,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.623)"
      },
      "parent_node_id": "node_3280",
      "improvement_over_parent": null
    },
    "node_3282": {
      "node_id": "node_3282",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0029)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 254.48 kg\n  Factor of Safety: 1.41\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 254.48109626000567,
      "fos_buckling": 1.4100899079671603,
      "fos_yielding": 2.6535789872105253,
      "deflection": 0.003993494372166357,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_3281",
      "improvement_over_parent": null
    },
    "node_3283": {
      "node_id": "node_3283",
      "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.40 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4022900876185,
      "fos_buckling": 1.5402256278757094,
      "fos_yielding": 2.647910482013088,
      "deflection": 0.0039620358488333665,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.376)"
      },
      "parent_node_id": "node_3282",
      "improvement_over_parent": null
    },
    "node_3284": {
      "node_id": "node_3284",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3283",
      "improvement_over_parent": null
    },
    "node_3285": {
      "node_id": "node_3285",
      "content": "INITIAL DESIGN (Trace 472)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 227.56 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.98e-02 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.55850083343287,
      "fos_buckling": 0.04907876427396004,
      "fos_yielding": 0.6483617816019939,
      "deflection": 0.029775828797197264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3286": {
      "node_id": "node_3286",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 232.56 kg\n  Factor of Safety: 0.05\n  Max Deflection: 2.77e-02 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.5617274420992,
      "fos_buckling": 0.04906712242496359,
      "fos_yielding": 0.6482079853508425,
      "deflection": 0.02773753425128386,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3285",
      "improvement_over_parent": null
    },
    "node_3287": {
      "node_id": "node_3287",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 242.12 kg\n  Factor of Safety: 0.45\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": 242.124868421319,
      "fos_buckling": 0.4532128430409912,
      "fos_yielding": 1.4092593173590684,
      "deflection": 0.01145346369573118,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)"
      },
      "parent_node_id": "node_3286",
      "improvement_over_parent": null
    },
    "node_3288": {
      "node_id": "node_3288",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 250.76 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.76173194897257,
      "fos_buckling": 1.2219590560621296,
      "fos_yielding": 2.652138335668478,
      "deflection": 0.004033176998089946,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_3287",
      "improvement_over_parent": null
    },
    "node_3289": {
      "node_id": "node_3289",
      "content": "MODIFICATION: Increase 12 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0060)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 257.12 kg\n  Factor of Safety: 1.22\n  Max Deflection: 3.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.12461031492614,
      "fos_buckling": 1.223790584274958,
      "fos_yielding": 2.627608636117295,
      "deflection": 0.00397497141221264,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.538)"
      },
      "parent_node_id": "node_3288",
      "improvement_over_parent": null
    },
    "node_3290": {
      "node_id": "node_3290",
      "content": "MODIFICATION: Increase 17 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M5: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M6: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M7: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M8: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M9: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M10: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M11: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M12: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0060)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0060)]\n  M18: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M19: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M20: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 261.61 kg\n  Factor of Safety: 1.29\n  Max Deflection: 3.93e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 261.61382097262765,
      "fos_buckling": 1.2904345784896696,
      "fos_yielding": 2.626367103966838,
      "deflection": 0.003930154379071561,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.238)"
      },
      "parent_node_id": "node_3289",
      "improvement_over_parent": null
    },
    "node_3291": {
      "node_id": "node_3291",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 473)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 182.69 kg\n  Factor of Safety: 1.04\n  Max Deflection: 5.56e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.6902316044762,
      "fos_buckling": 1.041531950815649,
      "fos_yielding": 1.9234134152418727,
      "deflection": 0.0055590164713888645,
      "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 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 217.55 kg\n  Factor of Safety: 1.22\n  Max Deflection: 4.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.54630344319335,
      "fos_buckling": 1.2181317457135137,
      "fos_yielding": 2.286243595152661,
      "deflection": 0.004677533631757747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3292",
      "improvement_over_parent": null
    },
    "node_3294": {
      "node_id": "node_3294",
      "content": "MODIFICATION: Increase 15 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 220.22 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.22265634623008,
      "fos_buckling": 1.3540143143430796,
      "fos_yielding": 2.2692526534166544,
      "deflection": 0.004620831138579923,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.318)"
      },
      "parent_node_id": "node_3293",
      "improvement_over_parent": null
    },
    "node_3295": {
      "node_id": "node_3295",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5129419594916,
      "fos_buckling": 1.540694586834864,
      "fos_yielding": 2.6489944818579048,
      "deflection": 0.0039601928279499,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3294",
      "improvement_over_parent": null
    },
    "node_3296": {
      "node_id": "node_3296",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3295",
      "improvement_over_parent": null
    },
    "node_3297": {
      "node_id": "node_3297",
      "content": "INITIAL DESIGN (Trace 474)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 233.19 kg\n  Factor of Safety: 0.97\n  Max Deflection: 2.21e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 233.1876117449145,
      "fos_buckling": 0.9725722997849816,
      "fos_yielding": 2.0153926334618433,
      "deflection": 2208020118227.832,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3298": {
      "node_id": "node_3298",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 246.94 kg\n  Factor of Safety: 1.18\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 246.93708021110191,
      "fos_buckling": 1.1782666372755861,
      "fos_yielding": 2.718101783052451,
      "deflection": 0.003944555744443579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3297",
      "improvement_over_parent": null
    },
    "node_3299": {
      "node_id": "node_3299",
      "content": "MODIFICATION: Increase 12 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 250.98 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.9802370831404,
      "fos_buckling": 1.4357827217980974,
      "fos_yielding": 2.7181017830524503,
      "deflection": 0.003888044593670858,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(12, thickness, 1.656)"
      },
      "parent_node_id": "node_3298",
      "improvement_over_parent": null
    },
    "node_3300": {
      "node_id": "node_3300",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53902527129003,
      "fos_buckling": 1.5408254620665114,
      "fos_yielding": 2.649373504751481,
      "deflection": 0.003959798412946118,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_3299",
      "improvement_over_parent": null
    },
    "node_3301": {
      "node_id": "node_3301",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3300",
      "improvement_over_parent": null
    },
    "node_3302": {
      "node_id": "node_3302",
      "content": "INITIAL DESIGN (Trace 475)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 178.65 kg\n  Factor of Safety: 0.42\n  Max Deflection: 7.99e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.6549738606987,
      "fos_buckling": 0.42378256372898604,
      "fos_yielding": 1.6662796823245745,
      "deflection": 0.007992578952430473,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3303": {
      "node_id": "node_3303",
      "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 180.34 kg\n  Factor of Safety: 0.51\n  Max Deflection: 7.68e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 180.33702829390973,
      "fos_buckling": 0.5147967506019928,
      "fos_yielding": 1.665958700519565,
      "deflection": 0.007676584102571325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.319)"
      },
      "parent_node_id": "node_3302",
      "improvement_over_parent": null
    },
    "node_3304": {
      "node_id": "node_3304",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n\nPerformance:\n  Mass: 218.42 kg\n  Factor of Safety: 0.61\n  Max Deflection: 6.35e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.42325027286074,
      "fos_buckling": 0.6059761219881261,
      "fos_yielding": 2.012783506457003,
      "deflection": 0.006354248261759059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.229)"
      },
      "parent_node_id": "node_3303",
      "improvement_over_parent": null
    },
    "node_3305": {
      "node_id": "node_3305",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n\nPerformance:\n  Mass: 222.61 kg\n  Factor of Safety: 1.20\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 222.60549115748935,
      "fos_buckling": 1.2005014995949237,
      "fos_yielding": 2.341623382114276,
      "deflection": 0.004540655666946932,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002606)"
      },
      "parent_node_id": "node_3304",
      "improvement_over_parent": null
    },
    "node_3306": {
      "node_id": "node_3306",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0036)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0037)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0035)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0034)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0032)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0033)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0052)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0042)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0039)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0042)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0026)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0026)]\n\nPerformance:\n  Mass: 228.50 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.46e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.4952022743674,
      "fos_buckling": 1.3965706556337973,
      "fos_yielding": 2.3538573965568417,
      "deflection": 0.004455563816665675,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002620)"
      },
      "parent_node_id": "node_3305",
      "improvement_over_parent": null
    },
    "node_3307": {
      "node_id": "node_3307",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.61 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6075018217325,
      "fos_buckling": 1.541245034099067,
      "fos_yielding": 2.650234239787657,
      "deflection": 0.003958674569518889,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.140)"
      },
      "parent_node_id": "node_3306",
      "improvement_over_parent": null
    },
    "node_3308": {
      "node_id": "node_3308",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 476)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 198.89 kg\n  Factor of Safety: 0.08\n  Max Deflection: 4.19e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.89067715206298,
      "fos_buckling": 0.0760109831998107,
      "fos_yielding": 0.314905098978413,
      "deflection": 41921499358167.06,
      "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 (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 207.02 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.65e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.02384078959076,
      "fos_buckling": 1.0282689734097052,
      "fos_yielding": 2.3168787818324073,
      "deflection": 0.004652762804712506,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003547)"
      },
      "parent_node_id": "node_3309",
      "improvement_over_parent": null
    },
    "node_3311": {
      "node_id": "node_3311",
      "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n\nPerformance:\n  Mass: 207.79 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 207.78722212536374,
      "fos_buckling": 1.0282462234249223,
      "fos_yielding": 2.3168280892553397,
      "deflection": 0.004635831959046849,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.236)"
      },
      "parent_node_id": "node_3310",
      "improvement_over_parent": null
    },
    "node_3312": {
      "node_id": "node_3312",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 244.30 kg\n  Factor of Safety: 1.18\n  Max Deflection: 3.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 244.29779636455726,
      "fos_buckling": 1.1772686988698993,
      "fos_yielding": 2.7187913582829144,
      "deflection": 0.003951868773257909,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.193)"
      },
      "parent_node_id": "node_3311",
      "improvement_over_parent": null
    },
    "node_3313": {
      "node_id": "node_3313",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 250.86 kg\n  Factor of Safety: 1.33\n  Max Deflection: 4.04e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 250.85658455270686,
      "fos_buckling": 1.325421504358175,
      "fos_yielding": 2.6353389929632534,
      "deflection": 0.004035815708467745,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_3312",
      "improvement_over_parent": null
    },
    "node_3314": {
      "node_id": "node_3314",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4991847815262,
      "fos_buckling": 1.5406865611036906,
      "fos_yielding": 2.649024064500138,
      "deflection": 0.003960399960397078,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_3313",
      "improvement_over_parent": null
    },
    "node_3315": {
      "node_id": "node_3315",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3314",
      "improvement_over_parent": null
    },
    "node_3316": {
      "node_id": "node_3316",
      "content": "INITIAL DESIGN (Trace 477)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0033)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 148.50 kg\n  Factor of Safety: 0.96\n  Max Deflection: 6.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 148.5041121810362,
      "fos_buckling": 0.9605463565141895,
      "fos_yielding": 1.5353860526064682,
      "deflection": 0.006824007005216816,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3317": {
      "node_id": "node_3317",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0041)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0027)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0031)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 182.69 kg\n  Factor of Safety: 1.15\n  Max Deflection: 5.56e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 182.69439315337442,
      "fos_buckling": 1.1538203471340773,
      "fos_yielding": 1.8859238196413461,
      "deflection": 0.005557917457715606,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_3316",
      "improvement_over_parent": null
    },
    "node_3318": {
      "node_id": "node_3318",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 204.81 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.96e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.80743857598335,
      "fos_buckling": 1.273312924815267,
      "fos_yielding": 2.112055373367373,
      "deflection": 0.004964168219784611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.130)"
      },
      "parent_node_id": "node_3317",
      "improvement_over_parent": null
    },
    "node_3319": {
      "node_id": "node_3319",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.78 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.78323334410095,
      "fos_buckling": 1.5420514336362732,
      "fos_yielding": 2.651938797029845,
      "deflection": 0.00395607071309237,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_3318",
      "improvement_over_parent": null
    },
    "node_3320": {
      "node_id": "node_3320",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3319",
      "improvement_over_parent": null
    },
    "node_3321": {
      "node_id": "node_3321",
      "content": "INITIAL DESIGN (Trace 478)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 167.41 kg\n  Factor of Safety: 0.91\n  Max Deflection: 6.15e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.4082949890048,
      "fos_buckling": 0.9058413871176053,
      "fos_yielding": 1.4928213328455142,
      "deflection": 0.006154013158982954,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3322": {
      "node_id": "node_3322",
      "content": "MODIFICATION: Increase 14 thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.95 kg\n  Factor of Safety: 0.91\n  Max Deflection: 6.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.95036916472057,
      "fos_buckling": 0.9070696711519547,
      "fos_yielding": 1.489652683135163,
      "deflection": 0.006110354160412023,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.258)"
      },
      "parent_node_id": "node_3321",
      "improvement_over_parent": null
    },
    "node_3323": {
      "node_id": "node_3323",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0026)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.81 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.23e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.8060094176568,
      "fos_buckling": 1.0480994048487091,
      "fos_yielding": 1.7434609275508213,
      "deflection": 0.00523012598147096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.182)"
      },
      "parent_node_id": "node_3322",
      "improvement_over_parent": null
    },
    "node_3324": {
      "node_id": "node_3324",
      "content": "MODIFICATION: Increase 18 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 203.59 kg\n  Factor of Safety: 1.27\n  Max Deflection: 5.11e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 203.58890895758228,
      "fos_buckling": 1.2710614624492524,
      "fos_yielding": 1.7481153995798169,
      "deflection": 0.005112380925800774,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.431)"
      },
      "parent_node_id": "node_3323",
      "improvement_over_parent": null
    },
    "node_3325": {
      "node_id": "node_3325",
      "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 205.07 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.96e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.06655891188325,
      "fos_buckling": 1.2746487426456319,
      "fos_yielding": 2.1145509768657678,
      "deflection": 0.004958032068869246,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.235)"
      },
      "parent_node_id": "node_3324",
      "improvement_over_parent": null
    },
    "node_3326": {
      "node_id": "node_3326",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.37 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.37082756658947,
      "fos_buckling": 1.5400110275754098,
      "fos_yielding": 2.6475605245698417,
      "deflection": 0.003962364952313357,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.280)"
      },
      "parent_node_id": "node_3325",
      "improvement_over_parent": null
    },
    "node_3327": {
      "node_id": "node_3327",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3326",
      "improvement_over_parent": null
    },
    "node_3328": {
      "node_id": "node_3328",
      "content": "INITIAL DESIGN (Trace 479)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0015)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 172.02 kg\n  Factor of Safety: 1.05\n  Max Deflection: 5.82e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.017212791601,
      "fos_buckling": 1.0468051677788532,
      "fos_yielding": 1.7844311181712698,
      "deflection": 0.005822110136338755,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3329": {
      "node_id": "node_3329",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0034)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0019)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 214.93 kg\n  Factor of Safety: 1.28\n  Max Deflection: 4.67e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 214.9324982776509,
      "fos_buckling": 1.2845815975676924,
      "fos_yielding": 2.2252132077130793,
      "deflection": 0.004672118423987185,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_3328",
      "improvement_over_parent": null
    },
    "node_3330": {
      "node_id": "node_3330",
      "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.27 kg\n  Factor of Safety: 1.50\n  Max Deflection: 3.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.2738187680642,
      "fos_buckling": 1.4991798819192443,
      "fos_yielding": 2.637963426859768,
      "deflection": 0.003943711942710483,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.206)"
      },
      "parent_node_id": "node_3329",
      "improvement_over_parent": null
    },
    "node_3331": {
      "node_id": "node_3331",
      "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4424875016257,
      "fos_buckling": 1.5403978817717352,
      "fos_yielding": 2.648490382944358,
      "deflection": 0.003961173471435848,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.420)"
      },
      "parent_node_id": "node_3330",
      "improvement_over_parent": null
    },
    "node_3332": {
      "node_id": "node_3332",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3331",
      "improvement_over_parent": null
    },
    "node_3333": {
      "node_id": "node_3333",
      "content": "INITIAL DESIGN (Trace 480)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 168.37 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.98e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 168.3722238264621,
      "fos_buckling": 0.9436025309409132,
      "fos_yielding": 1.7755160960968281,
      "deflection": 0.005984551602612978,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3334": {
      "node_id": "node_3334",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 172.83 kg\n  Factor of Safety: 1.10\n  Max Deflection: 5.87e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.8311788866113,
      "fos_buckling": 1.0991216786197404,
      "fos_yielding": 1.784903274330366,
      "deflection": 0.005871773726293636,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001944)"
      },
      "parent_node_id": "node_3333",
      "improvement_over_parent": null
    },
    "node_3335": {
      "node_id": "node_3335",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n\nPerformance:\n  Mass: 219.09 kg\n  Factor of Safety: 1.35\n  Max Deflection: 4.64e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 219.0896078950906,
      "fos_buckling": 1.3481884952931915,
      "fos_yielding": 2.2578517181213367,
      "deflection": 0.004644406887943315,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.289)"
      },
      "parent_node_id": "node_3334",
      "improvement_over_parent": null
    },
    "node_3336": {
      "node_id": "node_3336",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.39 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.38835373387826,
      "fos_buckling": 1.5401315935860138,
      "fos_yielding": 2.647909701123996,
      "deflection": 0.003962066201816653,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.192)"
      },
      "parent_node_id": "node_3335",
      "improvement_over_parent": null
    },
    "node_3337": {
      "node_id": "node_3337",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3336",
      "improvement_over_parent": null
    },
    "node_3338": {
      "node_id": "node_3338",
      "content": "INITIAL DESIGN (Trace 481)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 227.07 kg\n  Factor of Safety: 1.17\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 227.07265278576998,
      "fos_buckling": 1.174230497289654,
      "fos_yielding": 2.239238234769241,
      "deflection": 0.004559969954588747,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3339": {
      "node_id": "node_3339",
      "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 228.62 kg\n  Factor of Safety: 1.18\n  Max Deflection: 4.44e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 228.61884801652045,
      "fos_buckling": 1.1760188817575814,
      "fos_yielding": 2.400386509216311,
      "deflection": 0.004437800633195579,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.253)"
      },
      "parent_node_id": "node_3338",
      "improvement_over_parent": null
    },
    "node_3340": {
      "node_id": "node_3340",
      "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0035)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0039)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0037)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0029)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0027)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0038)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0036)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0027)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0035)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0029)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0033)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0027)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0034)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0053)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0035)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0024)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0043)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0040)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0043)]\n\nPerformance:\n  Mass: 232.28 kg\n  Factor of Safety: 1.42\n  Max Deflection: 4.38e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.2818585300311,
      "fos_buckling": 1.4157400003654468,
      "fos_yielding": 2.3924362350734123,
      "deflection": 0.0043838329712931985,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.597)"
      },
      "parent_node_id": "node_3339",
      "improvement_over_parent": null
    },
    "node_3341": {
      "node_id": "node_3341",
      "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.64481457727356,
      "fos_buckling": 1.5413508620955823,
      "fos_yielding": 2.65059640304109,
      "deflection": 0.0039580622151628555,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.120)"
      },
      "parent_node_id": "node_3340",
      "improvement_over_parent": null
    },
    "node_3342": {
      "node_id": "node_3342",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3341",
      "improvement_over_parent": null
    },
    "node_3343": {
      "node_id": "node_3343",
      "content": "INITIAL DESIGN (Trace 482)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0027)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0026)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0024)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0020)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 136.23 kg\n  Factor of Safety: 0.05\n  Max Deflection: 5.17e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 136.22922670737387,
      "fos_buckling": 0.05383705805240723,
      "fos_yielding": 0.314905098978413,
      "deflection": 51703130968264.09,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3344": {
      "node_id": "node_3344",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 154.49 kg\n  Factor of Safety: 0.19\n  Max Deflection: 1.31e+13 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 154.49061233707624,
      "fos_buckling": 0.1925124728305863,
      "fos_yielding": 1.157160651965499,
      "deflection": 13083307931964.31,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.143)"
      },
      "parent_node_id": "node_3343",
      "improvement_over_parent": null
    },
    "node_3345": {
      "node_id": "node_3345",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (17 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n\nPerformance:\n  Mass: 179.66 kg\n  Factor of Safety: 0.14\n  Max Deflection: 8.78e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 179.66364304848753,
      "fos_buckling": 0.13658513770796926,
      "fos_yielding": 0.314905098978413,
      "deflection": 87801721950634.69,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.176)"
      },
      "parent_node_id": "node_3344",
      "improvement_over_parent": null
    },
    "node_3346": {
      "node_id": "node_3346",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0049)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0040)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n  Mass: 197.46 kg\n  Factor of Safety: 0.54\n  Max Deflection: 1.84e+12 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.45893708312235,
      "fos_buckling": 0.5358485555722695,
      "fos_yielding": 1.8110925408496492,
      "deflection": 1836980142358.8025,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004003)"
      },
      "parent_node_id": "node_3345",
      "improvement_over_parent": null
    },
    "node_3347": {
      "node_id": "node_3347",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 232.51 kg\n  Factor of Safety: 0.68\n  Max Deflection: 6.53e+12 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.51156025765414,
      "fos_buckling": 0.6766202616050679,
      "fos_yielding": 2.363853800626337,
      "deflection": 6527673873776.039,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.195)"
      },
      "parent_node_id": "node_3346",
      "improvement_over_parent": null
    },
    "node_3348": {
      "node_id": "node_3348",
      "content": "MODIFICATION: Add member connecting joints 7 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n\nPerformance:\n  Mass: 241.15 kg\n  Factor of Safety: 0.92\n  Max Deflection: 4.41e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 241.1484237853077,
      "fos_buckling": 0.9172936101477355,
      "fos_yielding": 2.3950805249956666,
      "deflection": 0.0044145859372962245,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)"
      },
      "parent_node_id": "node_3347",
      "improvement_over_parent": null
    },
    "node_3349": {
      "node_id": "node_3349",
      "content": "MODIFICATION: Add member connecting joints 2 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n\nPerformance:\n  Mass: 251.12 kg\n  Factor of Safety: 1.44\n  Max Deflection: 3.89e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 251.12017718400335,
      "fos_buckling": 1.4356985188641664,
      "fos_yielding": 2.720013558017268,
      "deflection": 0.00388593280993382,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)"
      },
      "parent_node_id": "node_3348",
      "improvement_over_parent": null
    },
    "node_3350": {
      "node_id": "node_3350",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M19: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M20: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 257.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.67896537215296,
      "fos_buckling": 1.5417186124541722,
      "fos_yielding": 2.65121414893516,
      "deflection": 0.003957651361541987,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)"
      },
      "parent_node_id": "node_3349",
      "improvement_over_parent": null
    },
    "node_3351": {
      "node_id": "node_3351",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3350",
      "improvement_over_parent": null
    },
    "node_3352": {
      "node_id": "node_3352",
      "content": "INITIAL DESIGN (Trace 483)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 135.67 kg\n  Factor of Safety: 0.03\n  Max Deflection: 3.10e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 135.67011076896554,
      "fos_buckling": 0.03370407687601656,
      "fos_yielding": 0.4200453846748979,
      "deflection": 31049311532095.227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3353": {
      "node_id": "node_3353",
      "content": "MODIFICATION: Add member connecting joints 2 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 147.71 kg\n  Factor of Safety: 0.46\n  Max Deflection: 8.46e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 147.7062772510102,
      "fos_buckling": 0.46406164030337527,
      "fos_yielding": 1.524222249476359,
      "deflection": 0.008458446313633931,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002869)"
      },
      "parent_node_id": "node_3352",
      "improvement_over_parent": null
    },
    "node_3354": {
      "node_id": "node_3354",
      "content": "MODIFICATION: Increase 14 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n\nPerformance:\n  Mass: 150.24 kg\n  Factor of Safety: 0.48\n  Max Deflection: 8.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 150.23614469138803,
      "fos_buckling": 0.4768692146422363,
      "fos_yielding": 1.5238896113955058,
      "deflection": 0.00832241989110842,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(14, thickness, 1.403)"
      },
      "parent_node_id": "node_3353",
      "improvement_over_parent": null
    },
    "node_3355": {
      "node_id": "node_3355",
      "content": "MODIFICATION: Increase 18 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n\nPerformance:\n  Mass: 153.66 kg\n  Factor of Safety: 0.48\n  Max Deflection: 8.06e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 153.65630316748192,
      "fos_buckling": 0.47695572782993967,
      "fos_yielding": 1.5234401446871475,
      "deflection": 0.00805982945114731,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.307)"
      },
      "parent_node_id": "node_3354",
      "improvement_over_parent": null
    },
    "node_3356": {
      "node_id": "node_3356",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n\nPerformance:\n  Mass: 167.64 kg\n  Factor of Safety: 0.94\n  Max Deflection: 6.03e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 167.63624837707016,
      "fos_buckling": 0.9430923084404911,
      "fos_yielding": 1.765245652790418,
      "deflection": 0.006027463609400298,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003092)"
      },
      "parent_node_id": "node_3355",
      "improvement_over_parent": null
    },
    "node_3357": {
      "node_id": "node_3357",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 172.07 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.96e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 172.06924702373234,
      "fos_buckling": 0.9384217963891806,
      "fos_yielding": 1.7725764721158148,
      "deflection": 0.005959397699830336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001932)"
      },
      "parent_node_id": "node_3356",
      "improvement_over_parent": null
    },
    "node_3358": {
      "node_id": "node_3358",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0047)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 210.72 kg\n  Factor of Safety: 1.13\n  Max Deflection: 4.88e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.72400111545073,
      "fos_buckling": 1.1261815273543891,
      "fos_yielding": 2.167351758412512,
      "deflection": 0.004875871644627227,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_3357",
      "improvement_over_parent": null
    },
    "node_3359": {
      "node_id": "node_3359",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M18: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0058)]\n  M19: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.68 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 257.6769153867727,
      "fos_buckling": 1.3429291578725313,
      "fos_yielding": 2.645256104653301,
      "deflection": 0.003996888794482458,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.245)"
      },
      "parent_node_id": "node_3358",
      "improvement_over_parent": null
    },
    "node_3360": {
      "node_id": "node_3360",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3359",
      "improvement_over_parent": null
    },
    "node_3361": {
      "node_id": "node_3361",
      "content": "INITIAL DESIGN (Trace 484)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, 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_3362": {
      "node_id": "node_3362",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 217.21 kg\n  Factor of Safety: 0.98\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.20824058179255,
      "fos_buckling": 0.9769835092055428,
      "fos_yielding": 2.43154039153916,
      "deflection": 0.005190720504140599,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)"
      },
      "parent_node_id": "node_3361",
      "improvement_over_parent": null
    },
    "node_3363": {
      "node_id": "node_3363",
      "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 218.43 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.13e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 218.4304323603581,
      "fos_buckling": 0.95606448207931,
      "fos_yielding": 2.4313993584944416,
      "deflection": 0.005133469710235611,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.181)"
      },
      "parent_node_id": "node_3362",
      "improvement_over_parent": null
    },
    "node_3364": {
      "node_id": "node_3364",
      "content": "MODIFICATION: Increase 16 thickness by 47%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 225.73 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.09e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 225.72640784444255,
      "fos_buckling": 0.967925505049248,
      "fos_yielding": 2.431118770991906,
      "deflection": 0.005088136241785453,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.468)"
      },
      "parent_node_id": "node_3363",
      "improvement_over_parent": null
    },
    "node_3365": {
      "node_id": "node_3365",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 239.48 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.54e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 239.47587631062996,
      "fos_buckling": 1.1637108789343644,
      "fos_yielding": 2.428478072849924,
      "deflection": 0.004539640792948868,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3364",
      "improvement_over_parent": null
    },
    "node_3366": {
      "node_id": "node_3366",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0033)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0065)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 258.57 kg\n  Factor of Safety: 1.26\n  Max Deflection: 4.02e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 258.56562008543744,
      "fos_buckling": 1.2582903471960127,
      "fos_yielding": 2.643017926031368,
      "deflection": 0.00401634664297176,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_3365",
      "improvement_over_parent": null
    },
    "node_3367": {
      "node_id": "node_3367",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3366",
      "improvement_over_parent": null
    },
    "node_3368": {
      "node_id": "node_3368",
      "content": "INITIAL DESIGN (Trace 485)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n\nPerformance:\n  Mass: 232.48 kg\n  Factor of Safety: 0.46\n  Max Deflection: 5.39e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 232.48335143611388,
      "fos_buckling": 0.4593790889579296,
      "fos_yielding": 1.5695727483576472,
      "deflection": 0.005386998337559452,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3369": {
      "node_id": "node_3369",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 253.74 kg\n  Factor of Safety: 1.15\n  Max Deflection: 4.11e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.73847751800602,
      "fos_buckling": 1.1496121200094633,
      "fos_yielding": 2.455223226751743,
      "deflection": 0.00411123843462054,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)"
      },
      "parent_node_id": "node_3368",
      "improvement_over_parent": null
    },
    "node_3370": {
      "node_id": "node_3370",
      "content": "MODIFICATION: Increase 6 thickness by 35%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 255.82 kg\n  Factor of Safety: 1.17\n  Max Deflection: 3.99e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.81910470782938,
      "fos_buckling": 1.1689407275499601,
      "fos_yielding": 2.6483331347924124,
      "deflection": 0.003994311937208972,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.348)"
      },
      "parent_node_id": "node_3369",
      "improvement_over_parent": null
    },
    "node_3371": {
      "node_id": "node_3371",
      "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.54 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53990206998617,
      "fos_buckling": 1.5408284789049964,
      "fos_yielding": 2.649356405855529,
      "deflection": 0.003959594440442087,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(7, thickness, 1.629)"
      },
      "parent_node_id": "node_3370",
      "improvement_over_parent": null
    },
    "node_3372": {
      "node_id": "node_3372",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3371",
      "improvement_over_parent": null
    },
    "node_3373": {
      "node_id": "node_3373",
      "content": "INITIAL DESIGN (Trace 486)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 194.73 kg\n  Factor of Safety: 0.96\n  Max Deflection: 5.75e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.72859591393413,
      "fos_buckling": 0.9646613800688549,
      "fos_yielding": 1.942562861001743,
      "deflection": 0.005750016297074205,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3374": {
      "node_id": "node_3374",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.89 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.60e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.88662216247948,
      "fos_buckling": 1.1631516817172354,
      "fos_yielding": 2.4273794395285964,
      "deflection": 0.004603872543426615,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.277)"
      },
      "parent_node_id": "node_3373",
      "improvement_over_parent": null
    },
    "node_3375": {
      "node_id": "node_3375",
      "content": "MODIFICATION: Add member connecting joints 5 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n\nPerformance:\n  Mass: 248.89 kg\n  Factor of Safety: 1.32\n  Max Deflection: 4.07e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.8898487711458,
      "fos_buckling": 1.3185825817339676,
      "fos_yielding": 2.6390141646216176,
      "deflection": 0.004074364249514459,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)"
      },
      "parent_node_id": "node_3374",
      "improvement_over_parent": null
    },
    "node_3376": {
      "node_id": "node_3376",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 255.53 kg\n  Factor of Safety: 1.51\n  Max Deflection: 4.01e-03 m\n  Status: FEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.53244899996514,
      "fos_buckling": 1.505996136876265,
      "fos_yielding": 2.6512613453713723,
      "deflection": 0.0040140206093686,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_3375",
      "improvement_over_parent": null
    },
    "node_3377": {
      "node_id": "node_3377",
      "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.57 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5664614731022,
      "fos_buckling": 1.5410077720499755,
      "fos_yielding": 2.6497784871079135,
      "deflection": 0.003959340420800752,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.631)"
      },
      "parent_node_id": "node_3376",
      "improvement_over_parent": null
    },
    "node_3378": {
      "node_id": "node_3378",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3377",
      "improvement_over_parent": null
    },
    "node_3379": {
      "node_id": "node_3379",
      "content": "INITIAL DESIGN (Trace 487)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 184.68 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.67e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.68002022418707,
      "fos_buckling": 0.9698122744424376,
      "fos_yielding": 1.954387487663973,
      "deflection": 0.00566893191637093,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3380": {
      "node_id": "node_3380",
      "content": "MODIFICATION: Add member connecting joints 2 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0035)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0032)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n\nPerformance:\n  Mass: 189.95 kg\n  Factor of Safety: 0.97\n  Max Deflection: 5.62e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.94633471346833,
      "fos_buckling": 0.9694080322578844,
      "fos_yielding": 1.9535728497301157,
      "deflection": 0.005622908885360844,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)"
      },
      "parent_node_id": "node_3379",
      "improvement_over_parent": null
    },
    "node_3381": {
      "node_id": "node_3381",
      "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 236.51 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 236.51273046567172,
      "fos_buckling": 1.1632093391709608,
      "fos_yielding": 2.427280689585157,
      "deflection": 0.0045278562136806646,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.269)"
      },
      "parent_node_id": "node_3380",
      "improvement_over_parent": null
    },
    "node_3382": {
      "node_id": "node_3382",
      "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n\nPerformance:\n  Mass: 238.36 kg\n  Factor of Safety: 1.16\n  Max Deflection: 4.48e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 238.35508597923032,
      "fos_buckling": 1.163175485110638,
      "fos_yielding": 2.4272100459751744,
      "deflection": 0.004481088190902373,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.543)"
      },
      "parent_node_id": "node_3381",
      "improvement_over_parent": null
    },
    "node_3383": {
      "node_id": "node_3383",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4448297540378,
      "fos_buckling": 1.540450079622891,
      "fos_yielding": 2.64846012218904,
      "deflection": 0.003961257825822131,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)"
      },
      "parent_node_id": "node_3382",
      "improvement_over_parent": null
    },
    "node_3384": {
      "node_id": "node_3384",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3383",
      "improvement_over_parent": null
    },
    "node_3385": {
      "node_id": "node_3385",
      "content": "INITIAL DESIGN (Trace 488)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0024)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0026)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0025)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0025)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0024)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0018)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0016)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0022)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0018)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0035)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0023)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0029)]\n\nPerformance:\n  Mass: 146.31 kg\n  Factor of Safety: 0.58\n  Max Deflection: 6.33e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.30619184295307,
      "fos_buckling": 0.5844751728047382,
      "fos_yielding": 1.616384004805649,
      "deflection": 0.006325169670642407,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3386": {
      "node_id": "node_3386",
      "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 188.55 kg\n  Factor of Safety: 0.74\n  Max Deflection: 4.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.5474041245504,
      "fos_buckling": 0.7389731689784867,
      "fos_yielding": 2.0775070312735786,
      "deflection": 0.0049230131575276,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.309)"
      },
      "parent_node_id": "node_3385",
      "improvement_over_parent": null
    },
    "node_3387": {
      "node_id": "node_3387",
      "content": "MODIFICATION: Increase 15 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 189.40 kg\n  Factor of Safety: 0.82\n  Max Deflection: 4.94e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 189.40405231778615,
      "fos_buckling": 0.8152083487288426,
      "fos_yielding": 2.0722512830661746,
      "deflection": 0.004944940604011191,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.211)"
      },
      "parent_node_id": "node_3386",
      "improvement_over_parent": null
    },
    "node_3388": {
      "node_id": "node_3388",
      "content": "MODIFICATION: Increase 13 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0020)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 194.67 kg\n  Factor of Safety: 0.69\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 194.66787873776062,
      "fos_buckling": 0.6874374247192516,
      "fos_yielding": 2.055494357165714,
      "deflection": 0.004865257080973682,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.570)"
      },
      "parent_node_id": "node_3387",
      "improvement_over_parent": null
    },
    "node_3389": {
      "node_id": "node_3389",
      "content": "MODIFICATION: Increase 8 thickness by 50%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0019)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.57 kg\n  Factor of Safety: 0.62\n  Max Deflection: 4.81e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.566180745582,
      "fos_buckling": 0.6178824346204319,
      "fos_yielding": 2.043834506453922,
      "deflection": 0.004807530896897981,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(8, thickness, 1.502)"
      },
      "parent_node_id": "node_3388",
      "improvement_over_parent": null
    },
    "node_3390": {
      "node_id": "node_3390",
      "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 198.39 kg\n  Factor of Safety: 0.60\n  Max Deflection: 4.79e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.38804128487553,
      "fos_buckling": 0.5964328128774858,
      "fos_yielding": 2.039676684986955,
      "deflection": 0.004787198163926294,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.280)"
      },
      "parent_node_id": "node_3389",
      "improvement_over_parent": null
    },
    "node_3391": {
      "node_id": "node_3391",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n  Mass: 204.62 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.97e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.61795973925902,
      "fos_buckling": 1.2722703435335134,
      "fos_yielding": 2.110074657961463,
      "deflection": 0.004968915232840371,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002529)"
      },
      "parent_node_id": "node_3390",
      "improvement_over_parent": null
    },
    "node_3392": {
      "node_id": "node_3392",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.55 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.55026383254665,
      "fos_buckling": 1.5408806506744874,
      "fos_yielding": 2.6495151266974952,
      "deflection": 0.0039597552335327805,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_3391",
      "improvement_over_parent": null
    },
    "node_3393": {
      "node_id": "node_3393",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3392",
      "improvement_over_parent": null
    },
    "node_3394": {
      "node_id": "node_3394",
      "content": "INITIAL DESIGN (Trace 489)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0007)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0027)]\n\nPerformance:\n  Mass: 146.53 kg\n  Factor of Safety: 0.57\n  Max Deflection: 6.91e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.52543415352085,
      "fos_buckling": 0.5673141426016375,
      "fos_yielding": 1.571803968415861,
      "deflection": 0.006907454078981443,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3395": {
      "node_id": "node_3395",
      "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0025)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0028)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0026)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0020)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0008)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0025)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0024)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0037)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0024)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0028)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0030)]\n\nPerformance:\n  Mass: 162.03 kg\n  Factor of Safety: 0.63\n  Max Deflection: 6.25e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 162.03344672829124,
      "fos_buckling": 0.6256511215082868,
      "fos_yielding": 1.7368312649909623,
      "deflection": 0.0062515890879538336,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.112)"
      },
      "parent_node_id": "node_3394",
      "improvement_over_parent": null
    },
    "node_3396": {
      "node_id": "node_3396",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0010)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.06 kg\n  Factor of Safety: 0.76\n  Max Deflection: 5.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.06311655729667,
      "fos_buckling": 0.7562478310733125,
      "fos_yielding": 2.108659689116074,
      "deflection": 0.005150025213488312,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.232)"
      },
      "parent_node_id": "node_3395",
      "improvement_over_parent": null
    },
    "node_3397": {
      "node_id": "node_3397",
      "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n\nPerformance:\n  Mass: 197.94 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.10e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 197.9404856917981,
      "fos_buckling": 1.0253207394364894,
      "fos_yielding": 2.103203090779242,
      "deflection": 0.005101803850549192,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.534)"
      },
      "parent_node_id": "node_3396",
      "improvement_over_parent": null
    },
    "node_3398": {
      "node_id": "node_3398",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 202.28 kg\n  Factor of Safety: 1.03\n  Max Deflection: 5.01e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.28465295948592,
      "fos_buckling": 1.0313001201814629,
      "fos_yielding": 2.113400205385235,
      "deflection": 0.005013922045396372,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001891)"
      },
      "parent_node_id": "node_3397",
      "improvement_over_parent": null
    },
    "node_3399": {
      "node_id": "node_3399",
      "content": "MODIFICATION: Increase 11 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 204.10 kg\n  Factor of Safety: 1.03\n  Max Deflection: 4.99e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.1034704491412,
      "fos_buckling": 1.0316263174383693,
      "fos_yielding": 2.113958543048281,
      "deflection": 0.004988839061764447,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.232)"
      },
      "parent_node_id": "node_3398",
      "improvement_over_parent": null
    },
    "node_3400": {
      "node_id": "node_3400",
      "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0031)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0029)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0037)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0038)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n\nPerformance:\n  Mass: 205.49 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 205.48634285061712,
      "fos_buckling": 1.2723490901126222,
      "fos_yielding": 2.1096093989403455,
      "deflection": 0.004951862946152819,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(4, thickness, 1.572)"
      },
      "parent_node_id": "node_3399",
      "improvement_over_parent": null
    },
    "node_3401": {
      "node_id": "node_3401",
      "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0047)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n\nPerformance:\n  Mass: 258.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.95e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.5992207625654,
      "fos_buckling": 1.5409896282748934,
      "fos_yielding": 2.6489684533289175,
      "deflection": 0.003946438359719532,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.284)"
      },
      "parent_node_id": "node_3400",
      "improvement_over_parent": null
    },
    "node_3402": {
      "node_id": "node_3402",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 490)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0026)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 128.01 kg\n  Factor of Safety: 0.40\n  Max Deflection: 9.14e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 128.0073398703533,
      "fos_buckling": 0.4044899025200832,
      "fos_yielding": 1.297028229260035,
      "deflection": 0.00914306085910897,
      "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 13 thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0022)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0022)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0017)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0022)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0016)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0021)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0018)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0020)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0016)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0021)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0032)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0021)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0017)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0026)]\n\nPerformance:\n  Mass: 131.23 kg\n  Factor of Safety: 0.41\n  Max Deflection: 9.01e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 131.2323560178831,
      "fos_buckling": 0.41248889472650707,
      "fos_yielding": 1.2969078406431358,
      "deflection": 0.009012619183523975,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.227)"
      },
      "parent_node_id": "node_3403",
      "improvement_over_parent": null
    },
    "node_3405": {
      "node_id": "node_3405",
      "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0021)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 161.76 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.32e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.75739913783147,
      "fos_buckling": 0.4969633580490292,
      "fos_yielding": 1.5957914315098805,
      "deflection": 0.007323457256386662,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.247)"
      },
      "parent_node_id": "node_3404",
      "improvement_over_parent": null
    },
    "node_3406": {
      "node_id": "node_3406",
      "content": "MODIFICATION: Increase 18 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0030)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0021)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0029)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0027)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0025)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0026)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0040)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0033)]\n\nPerformance:\n  Mass: 165.41 kg\n  Factor of Safety: 0.50\n  Max Deflection: 7.29e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 165.41105911251796,
      "fos_buckling": 0.49699545330241596,
      "fos_yielding": 1.595623900610604,
      "deflection": 0.00729308300193734,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(18, thickness, 1.435)"
      },
      "parent_node_id": "node_3405",
      "improvement_over_parent": null
    },
    "node_3407": {
      "node_id": "node_3407",
      "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 202.46 kg\n  Factor of Safety: 0.59\n  Max Deflection: 5.97e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 202.45688294315053,
      "fos_buckling": 0.5917949446651692,
      "fos_yielding": 1.9493842436528004,
      "deflection": 0.005968768260826914,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.242)"
      },
      "parent_node_id": "node_3406",
      "improvement_over_parent": null
    },
    "node_3408": {
      "node_id": "node_3408",
      "content": "MODIFICATION: Add member connecting joints 3 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0037)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n\nPerformance:\n  Mass: 220.37 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.62e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.37136222913767,
      "fos_buckling": 1.3553536342210961,
      "fos_yielding": 2.2709444796760065,
      "deflection": 0.004617729914722642,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004032)"
      },
      "parent_node_id": "node_3407",
      "improvement_over_parent": null
    },
    "node_3409": {
      "node_id": "node_3409",
      "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n\nPerformance:\n  Mass: 257.68 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.6839499347575,
      "fos_buckling": 1.542133468842422,
      "fos_yielding": 2.6509341382099367,
      "deflection": 0.003957583299084721,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.186)"
      },
      "parent_node_id": "node_3408",
      "improvement_over_parent": null
    },
    "node_3410": {
      "node_id": "node_3410",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3409",
      "improvement_over_parent": null
    },
    "node_3411": {
      "node_id": "node_3411",
      "content": "INITIAL DESIGN (Trace 491)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0009)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0009)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 111.35 kg\n  Factor of Safety: 0.61\n  Max Deflection: 9.44e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 111.34784563300006,
      "fos_buckling": 0.6118162587372669,
      "fos_yielding": 1.166901250529336,
      "deflection": 0.00944423573468983,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3412": {
      "node_id": "node_3412",
      "content": "MODIFICATION: Increase 11 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0020)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0015)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0014)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0019)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0018)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0018)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0009)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0014)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0017)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0027)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0018)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0012)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0022)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0020)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0022)]\n\nPerformance:\n  Mass: 112.50 kg\n  Factor of Safety: 0.61\n  Max Deflection: 9.41e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 112.50432880657088,
      "fos_buckling": 0.6117937792142298,
      "fos_yielding": 1.166858375919242,
      "deflection": 0.009408055490568725,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.597)"
      },
      "parent_node_id": "node_3411",
      "improvement_over_parent": null
    },
    "node_3413": {
      "node_id": "node_3413",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0019)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0023)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0011)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0026)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 140.74 kg\n  Factor of Safety: 0.75\n  Max Deflection: 7.53e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 140.73696332184943,
      "fos_buckling": 0.7492235181783861,
      "fos_yielding": 1.457776010835154,
      "deflection": 0.007533431752222863,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_3412",
      "improvement_over_parent": null
    },
    "node_3414": {
      "node_id": "node_3414",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0014)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 171.77 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.18e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 171.7695662084917,
      "fos_buckling": 0.8928901731790309,
      "fos_yielding": 1.7766629119997353,
      "deflection": 0.006183826798273408,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_3413",
      "improvement_over_parent": null
    },
    "node_3415": {
      "node_id": "node_3415",
      "content": "MODIFICATION: Increase 9 thickness by 66%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0028)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0031)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0022)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0030)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0029)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0021)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0028)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0023)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0021)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0027)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0042)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0028)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0019)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0034)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0032)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0034)]\n\nPerformance:\n  Mass: 173.95 kg\n  Factor of Safety: 0.89\n  Max Deflection: 6.12e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 173.9506520578838,
      "fos_buckling": 0.892705067286559,
      "fos_yielding": 1.7762945903585883,
      "deflection": 0.006116965287643059,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(9, thickness, 1.656)"
      },
      "parent_node_id": "node_3414",
      "improvement_over_parent": null
    },
    "node_3416": {
      "node_id": "node_3416",
      "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 196.40 kg\n  Factor of Safety: 0.99\n  Max Deflection: 5.43e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 196.39567911873016,
      "fos_buckling": 0.9906087103604803,
      "fos_yielding": 2.0035294221438913,
      "deflection": 0.0054250584427786115,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.139)"
      },
      "parent_node_id": "node_3415",
      "improvement_over_parent": null
    },
    "node_3417": {
      "node_id": "node_3417",
      "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0031)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n\nPerformance:\n  Mass: 212.12 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.80e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 212.1157700722829,
      "fos_buckling": 1.3118850056472948,
      "fos_yielding": 2.1867173034093055,
      "deflection": 0.004795258011798076,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003696)"
      },
      "parent_node_id": "node_3416",
      "improvement_over_parent": null
    },
    "node_3418": {
      "node_id": "node_3418",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n\nPerformance:\n  Mass: 257.51 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50890932173075,
      "fos_buckling": 1.5407564271004626,
      "fos_yielding": 2.649180711898968,
      "deflection": 0.003960307027681391,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.235)"
      },
      "parent_node_id": "node_3417",
      "improvement_over_parent": null
    },
    "node_3419": {
      "node_id": "node_3419",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3418",
      "improvement_over_parent": null
    },
    "node_3420": {
      "node_id": "node_3420",
      "content": "INITIAL DESIGN (Trace 492)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0027)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 175.90 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.44e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 175.90429938316544,
      "fos_buckling": 0.5562421577329205,
      "fos_yielding": 1.6732443934373895,
      "deflection": 0.006444327222876138,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3421": {
      "node_id": "node_3421",
      "content": "MODIFICATION: Increase 16 thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0023)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 178.91 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.43e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 178.9064437846465,
      "fos_buckling": 0.5560043918432169,
      "fos_yielding": 1.6743777528149253,
      "deflection": 0.006434194150465828,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.285)"
      },
      "parent_node_id": "node_3420",
      "improvement_over_parent": null
    },
    "node_3422": {
      "node_id": "node_3422",
      "content": "MODIFICATION: Increase 5 thickness by 45%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n\nPerformance:\n  Mass: 181.14 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.21e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 181.1443295889245,
      "fos_buckling": 0.555898115049275,
      "fos_yielding": 1.9648411245300297,
      "deflection": 0.006214643552833654,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(5, thickness, 1.449)"
      },
      "parent_node_id": "node_3421",
      "improvement_over_parent": null
    },
    "node_3423": {
      "node_id": "node_3423",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n\nPerformance:\n  Mass: 187.36 kg\n  Factor of Safety: 0.56\n  Max Deflection: 6.40e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.36049151749333,
      "fos_buckling": 0.5557014193486532,
      "fos_yielding": 1.9641437879976444,
      "deflection": 0.006402370673888409,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002523)"
      },
      "parent_node_id": "node_3422",
      "improvement_over_parent": null
    },
    "node_3424": {
      "node_id": "node_3424",
      "content": "MODIFICATION: Add member connecting joints 4 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0031)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0035)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 204.21 kg\n  Factor of Safety: 1.27\n  Max Deflection: 4.98e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 204.21229296829657,
      "fos_buckling": 1.2701575463264518,
      "fos_yielding": 2.1059854409660037,
      "deflection": 0.0049784541248789616,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003744)"
      },
      "parent_node_id": "node_3423",
      "improvement_over_parent": null
    },
    "node_3425": {
      "node_id": "node_3425",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.59739997511235,
      "fos_buckling": 1.5411565565010272,
      "fos_yielding": 2.6500619542332906,
      "deflection": 0.00395887453802779,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_3424",
      "improvement_over_parent": null
    },
    "node_3426": {
      "node_id": "node_3426",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3425",
      "improvement_over_parent": null
    },
    "node_3427": {
      "node_id": "node_3427",
      "content": "INITIAL DESIGN (Trace 493)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 243.49 kg\n  Factor of Safety: 0.93\n  Max Deflection: 4.87e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.4880358214476,
      "fos_buckling": 0.9262917828825087,
      "fos_yielding": 2.1327291259242713,
      "deflection": 0.0048716437664179275,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3428": {
      "node_id": "node_3428",
      "content": "MODIFICATION: Add member connecting joints 8 and 9\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 248.20 kg\n  Factor of Safety: 1.23\n  Max Deflection: 4.19e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 248.20485507080917,
      "fos_buckling": 1.2333903389646863,
      "fos_yielding": 2.334955908142075,
      "deflection": 0.004190509141541325,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)"
      },
      "parent_node_id": "node_3427",
      "improvement_over_parent": null
    },
    "node_3429": {
      "node_id": "node_3429",
      "content": "MODIFICATION: Increase 11 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0028)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 250.00 kg\n  Factor of Safety: 1.24\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 249.99550228414302,
      "fos_buckling": 1.2362735863732073,
      "fos_yielding": 2.3404142414518794,
      "deflection": 0.004173775516776351,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(11, thickness, 1.186)"
      },
      "parent_node_id": "node_3428",
      "improvement_over_parent": null
    },
    "node_3430": {
      "node_id": "node_3430",
      "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 252.42 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.03e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 252.41544174891112,
      "fos_buckling": 1.3419130622030657,
      "fos_yielding": 2.639911153355509,
      "deflection": 0.004031194964702872,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(6, thickness, 1.427)"
      },
      "parent_node_id": "node_3429",
      "improvement_over_parent": null
    },
    "node_3431": {
      "node_id": "node_3431",
      "content": "MODIFICATION: Increase 13 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0045)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0047)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n\nPerformance:\n  Mass: 256.68 kg\n  Factor of Safety: 1.37\n  Max Deflection: 4.00e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 256.6781778590214,
      "fos_buckling": 1.3655882595345672,
      "fos_yielding": 2.634753430825453,
      "deflection": 0.004002223713834967,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.252)"
      },
      "parent_node_id": "node_3430",
      "improvement_over_parent": null
    },
    "node_3432": {
      "node_id": "node_3432",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3431",
      "improvement_over_parent": null
    },
    "node_3433": {
      "node_id": "node_3433",
      "content": "INITIAL DESIGN (Trace 494)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0023)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 184.47 kg\n  Factor of Safety: 0.81\n  Max Deflection: 2.83e+12 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 184.47155150648487,
      "fos_buckling": 0.8143739998337871,
      "fos_yielding": 1.7790627557303482,
      "deflection": 2834009231140.6426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3434": {
      "node_id": "node_3434",
      "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 186.59 kg\n  Factor of Safety: 0.61\n  Max Deflection: 2.83e+12 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 186.59366491261508,
      "fos_buckling": 0.6107804998753403,
      "fos_yielding": 1.650259070195825,
      "deflection": 2834009231140.6436,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.337)"
      },
      "parent_node_id": "node_3433",
      "improvement_over_parent": null
    },
    "node_3435": {
      "node_id": "node_3435",
      "content": "MODIFICATION: Increase 13 thickness by 31%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (18 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n\nPerformance:\n  Mass: 187.79 kg\n  Factor of Safety: 0.02\n  Max Deflection: 1.87e+13 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.79411531600434,
      "fos_buckling": 0.024329726387355644,
      "fos_yielding": 0.31157051293723426,
      "deflection": 18701113704115.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(13, thickness, 1.307)"
      },
      "parent_node_id": "node_3434",
      "improvement_over_parent": null
    },
    "node_3436": {
      "node_id": "node_3436",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0033)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0030)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0039)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0034)]\n\nPerformance:\n  Mass: 195.69 kg\n  Factor of Safety: 0.75\n  Max Deflection: 5.92e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.68700804207808,
      "fos_buckling": 0.7518062884768634,
      "fos_yielding": 2.082209032689126,
      "deflection": 0.005917985589265065,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003434)"
      },
      "parent_node_id": "node_3435",
      "improvement_over_parent": null
    },
    "node_3437": {
      "node_id": "node_3437",
      "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 237.21 kg\n  Factor of Safety: 0.88\n  Max Deflection: 4.89e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 237.20570839204578,
      "fos_buckling": 0.8824771098325345,
      "fos_yielding": 2.5186840183312853,
      "deflection": 0.004893412925050727,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.233)"
      },
      "parent_node_id": "node_3436",
      "improvement_over_parent": null
    },
    "node_3438": {
      "node_id": "node_3438",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 243.85 kg\n  Factor of Safety: 0.95\n  Max Deflection: 4.76e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 243.8483086208651,
      "fos_buckling": 0.9512328781831857,
      "fos_yielding": 2.5177265523545853,
      "deflection": 0.0047550902961333895,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)"
      },
      "parent_node_id": "node_3437",
      "improvement_over_parent": null
    },
    "node_3439": {
      "node_id": "node_3439",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M11: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M12: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M13: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M14: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M15: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M16: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M18: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M19: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M20: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n\nPerformance:\n  Mass: 257.60 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.5977770870525,
      "fos_buckling": 1.5412040183986848,
      "fos_yielding": 2.6502111976212683,
      "deflection": 0.003958756632971066,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)"
      },
      "parent_node_id": "node_3438",
      "improvement_over_parent": null
    },
    "node_3440": {
      "node_id": "node_3440",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "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 495)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0027)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 187.52 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 187.52442021720057,
      "fos_buckling": 0.21780008508469903,
      "fos_yielding": 1.259104270018325,
      "deflection": 0.009920935063634785,
      "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 0 thickness by 25%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0025)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 188.87 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.92e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 188.87058687800578,
      "fos_buckling": 0.2178011087702221,
      "fos_yielding": 1.2590237490650615,
      "deflection": 0.00992137243578807,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.248)"
      },
      "parent_node_id": "node_3441",
      "improvement_over_parent": null
    },
    "node_3443": {
      "node_id": "node_3443",
      "content": "MODIFICATION: Increase 1 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0010)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 191.79 kg\n  Factor of Safety: 0.22\n  Max Deflection: 9.67e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 191.78713048073652,
      "fos_buckling": 0.21725572237903107,
      "fos_yielding": 1.258733079708502,
      "deflection": 0.009665663610804518,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.524)"
      },
      "parent_node_id": "node_3442",
      "improvement_over_parent": null
    },
    "node_3444": {
      "node_id": "node_3444",
      "content": "MODIFICATION: Increase 15 thickness by 52%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n\nPerformance:\n  Mass: 193.07 kg\n  Factor of Safety: 0.23\n  Max Deflection: 9.53e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 193.066902706008,
      "fos_buckling": 0.2288748922033727,
      "fos_yielding": 1.2586055770659872,
      "deflection": 0.009534051185041524,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(15, thickness, 1.522)"
      },
      "parent_node_id": "node_3443",
      "improvement_over_parent": null
    },
    "node_3445": {
      "node_id": "node_3445",
      "content": "MODIFICATION: Add member connecting joints 0 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0034)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0038)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0028)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0028)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0041)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n\nPerformance:\n  Mass: 220.67 kg\n  Factor of Safety: 1.34\n  Max Deflection: 4.56e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 220.66584670835118,
      "fos_buckling": 1.336297950047049,
      "fos_yielding": 2.3036787471806264,
      "deflection": 0.004559166061184287,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005035)"
      },
      "parent_node_id": "node_3444",
      "improvement_over_parent": null
    },
    "node_3446": {
      "node_id": "node_3446",
      "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 255.64 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.94e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.63597126973,
      "fos_buckling": 1.538195278003949,
      "fos_yielding": 2.664027887828206,
      "deflection": 0.0039440182977945,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.174)"
      },
      "parent_node_id": "node_3445",
      "improvement_over_parent": null
    },
    "node_3447": {
      "node_id": "node_3447",
      "content": "MODIFICATION: Increase 16 thickness by 51%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0067)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n\nPerformance:\n  Mass: 263.52 kg\n  Factor of Safety: 1.42\n  Max Deflection: 3.91e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 263.51974670077914,
      "fos_buckling": 1.418040197845361,
      "fos_yielding": 2.6576649831403767,
      "deflection": 0.003906449187528517,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(16, thickness, 1.506)"
      },
      "parent_node_id": "node_3446",
      "improvement_over_parent": null
    },
    "node_3448": {
      "node_id": "node_3448",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3447",
      "improvement_over_parent": null
    },
    "node_3449": {
      "node_id": "node_3449",
      "content": "INITIAL DESIGN (Trace 496)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n\nPerformance:\n  Mass: 123.15 kg\n  Factor of Safety: 0.37\n  Max Deflection: 7.95e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 123.1486983347093,
      "fos_buckling": 0.3666918936238561,
      "fos_yielding": 1.1015627734915636,
      "deflection": 0.007954187360848776,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3450": {
      "node_id": "node_3450",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0023)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n  Mass: 127.15 kg\n  Factor of Safety: 0.70\n  Max Deflection: 8.24e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 127.14952936541397,
      "fos_buckling": 0.7010611410345923,
      "fos_yielding": 1.0904091975160086,
      "deflection": 0.008240717311472898,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001583)"
      },
      "parent_node_id": "node_3449",
      "improvement_over_parent": null
    },
    "node_3451": {
      "node_id": "node_3451",
      "content": "MODIFICATION: Increase 17 thickness by 21%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0019)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0021)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0014)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0015)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0021)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0020)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0014)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0019)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0013)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0015)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0019)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0029)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0019)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0013)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0018)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0028)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0022)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0024)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0016)]\n\nPerformance:\n  Mass: 129.30 kg\n  Factor of Safety: 0.74\n  Max Deflection: 8.15e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 129.3009089544573,
      "fos_buckling": 0.7357606826868937,
      "fos_yielding": 1.0768288876837562,
      "deflection": 0.008152383591532681,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(17, thickness, 1.212)"
      },
      "parent_node_id": "node_3450",
      "improvement_over_parent": null
    },
    "node_3452": {
      "node_id": "node_3452",
      "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0019)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0021)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0027)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0025)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0017)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0024)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0038)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 169.34 kg\n  Factor of Safety: 0.95\n  Max Deflection: 6.23e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.33662325796516,
      "fos_buckling": 0.9471136945845857,
      "fos_yielding": 1.4135497813591533,
      "deflection": 0.006234629076818723,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.328)"
      },
      "parent_node_id": "node_3451",
      "improvement_over_parent": null
    },
    "node_3453": {
      "node_id": "node_3453",
      "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0032)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0036)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0023)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0026)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0025)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0035)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0033)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0024)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0031)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0048)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0032)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0022)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0047)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0036)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0039)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 210.83 kg\n  Factor of Safety: 1.16\n  Max Deflection: 5.02e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 210.83274173749732,
      "fos_buckling": 1.157823055376048,
      "fos_yielding": 1.7646964109253067,
      "deflection": 0.0050153908803504095,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.264)"
      },
      "parent_node_id": "node_3452",
      "improvement_over_parent": null
    },
    "node_3454": {
      "node_id": "node_3454",
      "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 253.28 kg\n  Factor of Safety: 1.36\n  Max Deflection: 4.18e-03 m\n  Status: INFEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.28118168072902,
      "fos_buckling": 1.3644656286197943,
      "fos_yielding": 2.126544786724423,
      "deflection": 0.0041813389293125685,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.221)"
      },
      "parent_node_id": "node_3453",
      "improvement_over_parent": null
    },
    "node_3455": {
      "node_id": "node_3455",
      "content": "MODIFICATION: Increase 10 thickness by 40%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0029)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0042)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 255.58 kg\n  Factor of Safety: 1.40\n  Max Deflection: 4.17e-03 m\n  Status: INFEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 255.58297503494606,
      "fos_buckling": 1.4025308425393817,
      "fos_yielding": 2.1120451720966833,
      "deflection": 0.004170168455786859,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(10, thickness, 1.397)"
      },
      "parent_node_id": "node_3454",
      "improvement_over_parent": null
    },
    "node_3456": {
      "node_id": "node_3456",
      "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0026)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0042)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0058)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 258.17 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 258.1669953969285,
      "fos_buckling": 1.5418588649747729,
      "fos_yielding": 2.643482354469631,
      "deflection": 0.003964178113830864,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(2, thickness, 1.437)"
      },
      "parent_node_id": "node_3455",
      "improvement_over_parent": null
    },
    "node_3457": {
      "node_id": "node_3457",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 8,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3456",
      "improvement_over_parent": null
    },
    "node_3458": {
      "node_id": "node_3458",
      "content": "INITIAL DESIGN (Trace 497)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (19 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 161.27 kg\n  Factor of Safety: 0.07\n  Max Deflection: 2.57e+13 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 161.26913659686915,
      "fos_buckling": 0.06630333954173359,
      "fos_yielding": 0.29252771112576637,
      "deflection": 25696702682999.89,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3459": {
      "node_id": "node_3459",
      "content": "MODIFICATION: Add member connecting joints 1 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0020)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n\nPerformance:\n  Mass: 170.74 kg\n  Factor of Safety: 0.04\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": 170.73616342888,
      "fos_buckling": 0.035779713342234336,
      "fos_yielding": 0.4475374330896141,
      "deflection": 0.023146488447577135,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002590)"
      },
      "parent_node_id": "node_3458",
      "improvement_over_parent": null
    },
    "node_3460": {
      "node_id": "node_3460",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n\nPerformance:\n  Mass: 191.29 kg\n  Factor of Safety: 0.04\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": 191.2943891194232,
      "fos_buckling": 0.0394858972493317,
      "fos_yielding": 0.5009865855964385,
      "deflection": 0.020681678626783096,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.129)"
      },
      "parent_node_id": "node_3459",
      "improvement_over_parent": null
    },
    "node_3461": {
      "node_id": "node_3461",
      "content": "MODIFICATION: Add member connecting joints 6 and 7\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0030)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0033)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0031)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0024)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0023)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0030)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0022)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0024)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0029)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0045)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0020)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0036)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0033)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0036)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0029)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0032)]\n\nPerformance:\n  Mass: 198.67 kg\n  Factor of Safety: 1.24\n  Max Deflection: 5.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 198.6728598306788,
      "fos_buckling": 1.2405947494958605,
      "fos_yielding": 2.049367948174908,
      "deflection": 0.005115628201168426,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003194)"
      },
      "parent_node_id": "node_3460",
      "improvement_over_parent": null
    },
    "node_3462": {
      "node_id": "node_3462",
      "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M6: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M7: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M8: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M15: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M16: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M17: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M19: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M20: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n\nPerformance:\n  Mass: 257.50 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.50045702579587,
      "fos_buckling": 1.5406806276900402,
      "fos_yielding": 2.649063961876633,
      "deflection": 0.003960343421907757,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.325)"
      },
      "parent_node_id": "node_3461",
      "improvement_over_parent": null
    },
    "node_3463": {
      "node_id": "node_3463",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3462",
      "improvement_over_parent": null
    },
    "node_3464": {
      "node_id": "node_3464",
      "content": "INITIAL DESIGN (Trace 498)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0012)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0028)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0022)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0027)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0020)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0022)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0039)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0026)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0018)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0032)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0030)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0032)]\n\nPerformance:\n  Mass: 169.68 kg\n  Factor of Safety: 0.83\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.68204850349537,
      "fos_buckling": 0.8252742063448784,
      "fos_yielding": 1.1389800739165823,
      "deflection": 0.006079819424411441,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3465": {
      "node_id": "node_3465",
      "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n\nPerformance:\n  Mass: 195.46 kg\n  Factor of Safety: 0.94\n  Max Deflection: 5.28e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 195.46047133898253,
      "fos_buckling": 0.9385153974844209,
      "fos_yielding": 1.316627048831465,
      "deflection": 0.005284199708237581,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.163)"
      },
      "parent_node_id": "node_3464",
      "improvement_over_parent": null
    },
    "node_3466": {
      "node_id": "node_3466",
      "content": "MODIFICATION: Add member connecting joints 3 and 8\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0014)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0034)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0032)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0025)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0024)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0033)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0031)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0023)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0030)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0025)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0028)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0030)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0046)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0030)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0021)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0037)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0034)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0037)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0023)]\n\nPerformance:\n  Mass: 200.73 kg\n  Factor of Safety: 1.06\n  Max Deflection: 5.19e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 200.72708298623573,
      "fos_buckling": 1.063234974127562,
      "fos_yielding": 1.313669060709516,
      "deflection": 0.005190698246221092,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002322)"
      },
      "parent_node_id": "node_3465",
      "improvement_over_parent": null
    },
    "node_3467": {
      "node_id": "node_3467",
      "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0018)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 253.25 kg\n  Factor of Safety: 1.30\n  Max Deflection: 4.12e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.2470989732488,
      "fos_buckling": 1.3032927984225102,
      "fos_yielding": 1.6697531096643907,
      "deflection": 0.004124006903260444,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.287)"
      },
      "parent_node_id": "node_3466",
      "improvement_over_parent": null
    },
    "node_3468": {
      "node_id": "node_3468",
      "content": "MODIFICATION: Increase 0 thickness by 60%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0029)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 255.51 kg\n  Factor of Safety: 1.57\n  Max Deflection: 4.01e-03 m\n  Status: FEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 255.50942995022478,
      "fos_buckling": 1.5747469803726437,
      "fos_yielding": 2.4815194988030016,
      "deflection": 0.004011996125866886,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.597)"
      },
      "parent_node_id": "node_3467",
      "improvement_over_parent": null
    },
    "node_3469": {
      "node_id": "node_3469",
      "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n\nPerformance:\n  Mass: 257.56 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.56210383584016,
      "fos_buckling": 1.5408748980178677,
      "fos_yielding": 2.649640947036703,
      "deflection": 0.0039593907538541,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(0, thickness, 1.357)"
      },
      "parent_node_id": "node_3468",
      "improvement_over_parent": null
    },
    "node_3470": {
      "node_id": "node_3470",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3469",
      "improvement_over_parent": null
    },
    "node_3471": {
      "node_id": "node_3471",
      "content": "INITIAL DESIGN (Trace 499)\n\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0023)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0016)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0024)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0016)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0018)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0024)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0023)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0017)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0022)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0021)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0017)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0022)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0034)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0022)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0015)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0027)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0025)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0028)]\n\nPerformance:\n  Mass: 146.21 kg\n  Factor of Safety: 0.59\n  Max Deflection: 6.85e-03 m\n  Status: INFEASIBLE",
      "depth": 0,
      "node_type": "state",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 146.2142416635892,
      "fos_buckling": 0.586073918404292,
      "fos_yielding": 1.031756437832557,
      "deflection": 0.006848926685906621,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": null,
      "parent_node_id": null,
      "improvement_over_parent": null
    },
    "node_3472": {
      "node_id": "node_3472",
      "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (20 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n\nPerformance:\n  Mass: 164.71 kg\n  Factor of Safety: 0.65\n  Max Deflection: 6.08e-03 m\n  Status: INFEASIBLE",
      "depth": 1,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 164.70626802438312,
      "fos_buckling": 0.652858525515155,
      "fos_yielding": 1.1639742175874728,
      "deflection": 0.006084344407206042,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.134)"
      },
      "parent_node_id": "node_3471",
      "improvement_over_parent": null
    },
    "node_3473": {
      "node_id": "node_3473",
      "content": "MODIFICATION: Add member connecting joints 1 and 6\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0026)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0019)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0027)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0018)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0020)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0028)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0026)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0019)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0026)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0024)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0019)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0025)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0038)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0025)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0017)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0031)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0029)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0031)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0021)]\n\nPerformance:\n  Mass: 169.97 kg\n  Factor of Safety: 1.06\n  Max Deflection: 6.31e-03 m\n  Status: INFEASIBLE",
      "depth": 2,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 169.9685165399089,
      "fos_buckling": 1.0618401193039162,
      "fos_yielding": 1.2099228411448235,
      "deflection": 0.0063121185715214094,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002112)"
      },
      "parent_node_id": "node_3472",
      "improvement_over_parent": null
    },
    "node_3474": {
      "node_id": "node_3474",
      "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0033)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0024)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0035)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0023)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0026)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0036)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0034)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0025)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0033)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0031)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0025)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0032)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0050)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0033)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0023)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0038)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0040)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0037)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0041)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0027)]\n\nPerformance:\n  Mass: 217.05 kg\n  Factor of Safety: 1.31\n  Max Deflection: 4.95e-03 m\n  Status: INFEASIBLE",
      "depth": 3,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 217.05408113983876,
      "fos_buckling": 1.3137090667198836,
      "fos_yielding": 1.5506196029254675,
      "deflection": 0.004950813019349699,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.299)"
      },
      "parent_node_id": "node_3473",
      "improvement_over_parent": null
    },
    "node_3475": {
      "node_id": "node_3475",
      "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0029)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 253.26 kg\n  Factor of Safety: 1.49\n  Max Deflection: 4.25e-03 m\n  Status: INFEASIBLE",
      "depth": 4,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": false,
      "mass": 253.26206863571977,
      "fos_buckling": 1.4949677530871806,
      "fos_yielding": 1.8147423639938358,
      "deflection": 0.004248074403542729,
      "is_feasible": false,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(all_members, thickness, 1.183)"
      },
      "parent_node_id": "node_3474",
      "improvement_over_parent": null
    },
    "node_3476": {
      "node_id": "node_3476",
      "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0027)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 256.63 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.98e-03 m\n  Status: FEASIBLE",
      "depth": 5,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 256.63243459676335,
      "fos_buckling": 1.5403222528834937,
      "fos_yielding": 2.6486777623901614,
      "deflection": 0.003978025009579664,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(1, thickness, 1.531)"
      },
      "parent_node_id": "node_3475",
      "improvement_over_parent": null
    },
    "node_3477": {
      "node_id": "node_3477",
      "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M10: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M11: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M12: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M13: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M14: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M15: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M16: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M17: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M18: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M19: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n  M20: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n\nPerformance:\n  Mass: 257.44 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 6,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.4382140569904,
      "fos_buckling": 1.540399802200997,
      "fos_yielding": 2.6482149652069,
      "deflection": 0.003961386167956346,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "SCALE_PARAM(3, thickness, 1.186)"
      },
      "parent_node_id": "node_3476",
      "improvement_over_parent": null
    },
    "node_3478": {
      "node_id": "node_3478",
      "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (10 total):\n  J0: pos=(0.00, 0.00) [pinned]\n  J1: pos=(1.97, 0.00) [free]\n  J2: pos=(3.94, 0.00) [free]\n  J3: pos=(5.90, 0.00) [free]\n  J4: pos=(7.87, 0.00) [roller]\n  J5: pos=(0.00, 2.74) [free]\n  J6: pos=(1.97, 2.74) [free]\n  J7: pos=(3.94, 2.74) [free]\n  J8: pos=(5.90, 2.74) [free]\n  J9: pos=(7.87, 2.74) [free]\n\nMembers (21 total):\n  M0: J0-J1 [A36_Steel, Pipe(r=0.0237, t=0.0040)]\n  M1: J1-J2 [A36_Steel, Pipe(r=0.0264, t=0.0044)]\n  M2: J2-J3 [A36_Steel, Pipe(r=0.0247, t=0.0041)]\n  M3: J3-J4 [A36_Steel, Pipe(r=0.0194, t=0.0032)]\n  M4: J5-J6 [A36_Steel, Pipe(r=0.0184, t=0.0031)]\n  M5: J6-J7 [A36_Steel, Pipe(r=0.0254, t=0.0042)]\n  M6: J7-J8 [A36_Steel, Pipe(r=0.0241, t=0.0040)]\n  M7: J8-J9 [A36_Steel, Pipe(r=0.0178, t=0.0030)]\n  M8: J0-J5 [A36_Steel, Pipe(r=0.0235, t=0.0039)]\n  M9: J1-J6 [A36_Steel, Pipe(r=0.0195, t=0.0032)]\n  M10: J2-J7 [A36_Steel, Pipe(r=0.0220, t=0.0037)]\n  M11: J3-J8 [A36_Steel, Pipe(r=0.0179, t=0.0030)]\n  M12: J4-J9 [A36_Steel, Pipe(r=0.0229, t=0.0038)]\n  M13: J0-J6 [A36_Steel, Pipe(r=0.0354, t=0.0059)]\n  M14: J1-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n  M15: J1-J7 [A36_Steel, Pipe(r=0.0232, t=0.0039)]\n  M16: J2-J6 [A36_Steel, Pipe(r=0.0161, t=0.0027)]\n  M17: J2-J8 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M18: J3-J7 [A36_Steel, Pipe(r=0.0287, t=0.0048)]\n  M19: J3-J9 [A36_Steel, Pipe(r=0.0266, t=0.0044)]\n  M20: J4-J8 [A36_Steel, Pipe(r=0.0289, t=0.0048)]\n\nPerformance:\n  Mass: 257.53 kg\n  Factor of Safety: 1.54\n  Max Deflection: 3.96e-03 m\n  Status: FEASIBLE",
      "depth": 7,
      "node_type": "modification_result",
      "metadata": null,
      "correctness_score": 1.0,
      "is_on_solution_path": true,
      "mass": 257.53027419649214,
      "fos_buckling": 1.5408267970116047,
      "fos_yielding": 2.6493670563836957,
      "deflection": 0.003959898897805647,
      "is_feasible": true,
      "joint_positions": null,
      "member_dimensions": null,
      "modification_action": {
        "raw": "OPTIMAL_STATE"
      },
      "parent_node_id": "node_3477",
      "improvement_over_parent": null
    }
  },
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    {
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      "edge_type": "modification",
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      "metadata": null,
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    },
    {
      "from_node": "node_11",
      "to_node": "node_12",
      "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_12",
      "to_node": "node_13",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
      "from_node": "node_13",
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    {
      "from_node": "node_15",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
      "from_node": "node_16",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.238)",
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    {
      "from_node": "node_17",
      "to_node": "node_18",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002417)",
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    {
      "from_node": "node_18",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003377)",
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    {
      "from_node": "node_19",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.267)",
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    {
      "from_node": "node_20",
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      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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    {
      "from_node": "node_21",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.314)",
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    {
      "from_node": "node_22",
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      "edge_type": "modification",
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      "metadata": null,
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    {
      "from_node": "node_24",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.192)",
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    {
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    {
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      "metadata": null,
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    {
      "from_node": "node_27",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002002)",
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    },
    {
      "from_node": "node_28",
      "to_node": "node_29",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003058)",
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    },
    {
      "from_node": "node_29",
      "to_node": "node_30",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.186)",
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    },
    {
      "from_node": "node_30",
      "to_node": "node_31",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
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    },
    {
      "from_node": "node_31",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    },
    {
      "from_node": "node_33",
      "to_node": "node_34",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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    },
    {
      "from_node": "node_34",
      "to_node": "node_35",
      "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_35",
      "to_node": "node_36",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.259)",
      "action_type": null,
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    },
    {
      "from_node": "node_36",
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      "edge_type": "modification",
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      "metadata": null,
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    },
    {
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      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
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    },
    {
      "from_node": "node_39",
      "to_node": "node_40",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.517)",
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    },
    {
      "from_node": "node_40",
      "to_node": "node_41",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.271)",
      "action_type": null,
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    },
    {
      "from_node": "node_41",
      "to_node": "node_42",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    },
    {
      "from_node": "node_43",
      "to_node": "node_44",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.323)",
      "action_type": null,
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    },
    {
      "from_node": "node_44",
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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)",
      "action_type": null,
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    },
    {
      "from_node": "node_45",
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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)",
      "action_type": null,
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    },
    {
      "from_node": "node_46",
      "to_node": "node_47",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_48",
      "to_node": "node_49",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    },
    {
      "from_node": "node_49",
      "to_node": "node_50",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
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    },
    {
      "from_node": "node_50",
      "to_node": "node_51",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.664)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_51",
      "to_node": "node_52",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 3 and 7",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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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 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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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 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.188)",
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      "from_node": "node_70",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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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": "Add member connecting joints 1 and 6",
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      "metadata": null,
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      "reasoning": "Increase 16 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.481)",
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      "grammar_action": "SCALE_PARAM(14, thickness, 1.634)",
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      "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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      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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      "grammar_action": "SCALE_PARAM(1, thickness, 1.202)",
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      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002557)",
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      "edge_type": "modification",
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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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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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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, 1.208)",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 3 and 9",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.290)",
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    {
      "from_node": "node_131",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "reasoning": "Add member connecting joints 7 and 8",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.410)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
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      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.185)",
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      "from_node": "node_140",
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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, A36_Steel, Pipe, 0.016059, 0.002676)",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
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      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003821)",
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    {
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      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002428)",
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      "reasoning": "Increase 10 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.511)",
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    {
      "from_node": "node_146",
      "to_node": "node_147",
      "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": "Optimal solution",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.305)",
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    {
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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    {
      "from_node": "node_151",
      "to_node": "node_152",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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    {
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      "edge_type": "modification",
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    {
      "from_node": "node_154",
      "to_node": "node_155",
      "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_155",
      "to_node": "node_156",
      "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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    {
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      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.395)",
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    {
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      "edge_type": "modification",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
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    {
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      "to_node": "node_161",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 67%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.667)",
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    {
      "from_node": "node_161",
      "to_node": "node_162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
      "from_node": "node_162",
      "to_node": "node_163",
      "edge_type": "modification",
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    {
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      "to_node": "node_165",
      "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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      "to_node": "node_166",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.577)",
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    {
      "from_node": "node_166",
      "to_node": "node_167",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002181)",
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    {
      "from_node": "node_167",
      "to_node": "node_168",
      "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_168",
      "to_node": "node_169",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_171",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.247)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.536)",
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    {
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      "to_node": "node_173",
      "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_173",
      "to_node": "node_174",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "to_node": "node_175",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.527)",
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      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "metadata": null,
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      "reasoning": "Increase all_members thickness by 25%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "reasoning": "Increase 0 thickness by 23%",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 21%",
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      "reasoning": "Increase all_members thickness by 21%",
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      "reasoning": "Increase all_members thickness by 29%",
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      "reasoning": "Increase all_members thickness by 27%",
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      "reasoning": "Increase all_members thickness by 14%",
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    {
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      "reasoning": "Increase all_members thickness by 20%",
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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 20%",
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      "reasoning": "Increase 10 thickness by 19%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase all_members thickness by 25%",
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      "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 14%",
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      "reasoning": "Increase all_members thickness by 15%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
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      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.610)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003891)",
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      "from_node": "node_426",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004008)",
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    {
      "from_node": "node_427",
      "to_node": "node_428",
      "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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      "from_node": "node_428",
      "to_node": "node_429",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.259)",
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      "from_node": "node_431",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.264)",
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      "from_node": "node_432",
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.289)",
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    {
      "from_node": "node_433",
      "to_node": "node_434",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_435",
      "to_node": "node_436",
      "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_436",
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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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    {
      "from_node": "node_437",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003307)",
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    {
      "from_node": "node_438",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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    {
      "from_node": "node_439",
      "to_node": "node_440",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
      "from_node": "node_441",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003738)",
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    {
      "from_node": "node_442",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
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    {
      "from_node": "node_443",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
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      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002058)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.451)",
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    {
      "from_node": "node_445",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.227)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_448",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002594)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.183)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.305)",
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    {
      "from_node": "node_451",
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      "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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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.196)",
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    {
      "from_node": "node_453",
      "to_node": "node_454",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_455",
      "to_node": "node_456",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003542)",
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    {
      "from_node": "node_456",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
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    {
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      "reasoning": "Increase 5 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.414)",
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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, 1.125)",
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      "reasoning": "Add member connecting joints 7 and 8",
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      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 22%",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.215)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.416)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.410)",
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      "reasoning": "Add member connecting joints 2 and 7",
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    {
      "from_node": "node_466",
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.364)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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      "edge_type": "modification",
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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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      "to_node": "node_477",
      "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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      "edge_type": "modification",
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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_481",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
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      "to_node": "node_482",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003343)",
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      "to_node": "node_483",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
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      "scale_factor": null
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    {
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      "to_node": "node_484",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_485",
      "to_node": "node_486",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.385)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_486",
      "to_node": "node_487",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_487",
      "to_node": "node_488",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_488",
      "to_node": "node_489",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_489",
      "to_node": "node_490",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_490",
      "to_node": "node_491",
      "edge_type": "modification",
      "reasoning": "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_492",
      "to_node": "node_493",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_493",
      "to_node": "node_494",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.645)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_494",
      "to_node": "node_495",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_495",
      "to_node": "node_496",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_497",
      "to_node": "node_498",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004012)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_498",
      "to_node": "node_499",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002690)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_499",
      "to_node": "node_500",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_500",
      "to_node": "node_501",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_501",
      "to_node": "node_502",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_502",
      "to_node": "node_503",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_503",
      "to_node": "node_504",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_505",
      "to_node": "node_506",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003293)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_506",
      "to_node": "node_507",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_507",
      "to_node": "node_508",
      "edge_type": "modification",
      "reasoning": "Increase 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_508",
      "to_node": "node_509",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_509",
      "to_node": "node_510",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_510",
      "to_node": "node_511",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_511",
      "to_node": "node_512",
      "edge_type": "modification",
      "reasoning": "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_512",
      "to_node": "node_513",
      "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_514",
      "to_node": "node_515",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.466)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_515",
      "to_node": "node_516",
      "edge_type": "modification",
      "reasoning": "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_516",
      "to_node": "node_517",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.395)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_517",
      "to_node": "node_518",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_518",
      "to_node": "node_519",
      "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_519",
      "to_node": "node_520",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_520",
      "to_node": "node_521",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.471)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_521",
      "to_node": "node_522",
      "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_523",
      "to_node": "node_524",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_524",
      "to_node": "node_525",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_525",
      "to_node": "node_526",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_526",
      "to_node": "node_527",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_527",
      "to_node": "node_528",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_528",
      "to_node": "node_529",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_529",
      "to_node": "node_530",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_531",
      "to_node": "node_532",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_532",
      "to_node": "node_533",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_533",
      "to_node": "node_534",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_534",
      "to_node": "node_535",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_535",
      "to_node": "node_536",
      "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_537",
      "to_node": "node_538",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002085)",
      "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_539",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_539",
      "to_node": "node_540",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_540",
      "to_node": "node_541",
      "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_541",
      "to_node": "node_542",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_542",
      "to_node": "node_543",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_543",
      "to_node": "node_544",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_545",
      "to_node": "node_546",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002752)",
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      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.639)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.182)",
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    {
      "from_node": "node_550",
      "to_node": "node_551",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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    {
      "from_node": "node_551",
      "to_node": "node_552",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_553",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003762)",
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    {
      "from_node": "node_554",
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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",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.538)",
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      "from_node": "node_556",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.366)",
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    {
      "from_node": "node_558",
      "to_node": "node_559",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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    {
      "from_node": "node_559",
      "to_node": "node_560",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
      "from_node": "node_560",
      "to_node": "node_561",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_562",
      "to_node": "node_563",
      "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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    {
      "from_node": "node_563",
      "to_node": "node_564",
      "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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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.337)",
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      "to_node": "node_566",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.464)",
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    {
      "from_node": "node_566",
      "to_node": "node_567",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.149)",
      "action_type": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.453)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.577)",
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    {
      "from_node": "node_571",
      "to_node": "node_572",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001989)",
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    {
      "from_node": "node_572",
      "to_node": "node_573",
      "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_573",
      "to_node": "node_574",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002291)",
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    {
      "from_node": "node_574",
      "to_node": "node_575",
      "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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    {
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.284)",
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    {
      "from_node": "node_576",
      "to_node": "node_577",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_578",
      "to_node": "node_579",
      "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_579",
      "to_node": "node_580",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.403)",
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    {
      "from_node": "node_580",
      "to_node": "node_581",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
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    {
      "from_node": "node_581",
      "to_node": "node_582",
      "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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    {
      "from_node": "node_582",
      "to_node": "node_583",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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    {
      "from_node": "node_583",
      "to_node": "node_584",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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    {
      "from_node": "node_584",
      "to_node": "node_585",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.215)",
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    {
      "from_node": "node_587",
      "to_node": "node_588",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003439)",
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    {
      "from_node": "node_588",
      "to_node": "node_589",
      "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_589",
      "to_node": "node_590",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
      "from_node": "node_590",
      "to_node": "node_591",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
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    {
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      "to_node": "node_593",
      "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_594",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
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      "edge_type": "modification",
      "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_595",
      "to_node": "node_596",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.323)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_599",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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      "to_node": "node_600",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.218)",
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      "to_node": "node_601",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.299)",
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      "to_node": "node_602",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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      "target_member": null,
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    {
      "from_node": "node_602",
      "to_node": "node_603",
      "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_605",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.553)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_606",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.445)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Increase all_members thickness by 27%",
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      "edge_type": "modification",
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      "reasoning": "Increase 17 thickness by 49%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 24%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
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      "reasoning": "Increase all_members thickness by 11%",
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      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003335)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "metadata": null,
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.379)",
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    {
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      "edge_type": "modification",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.121)",
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    {
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      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
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    {
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      "metadata": null,
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      "metadata": null,
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    {
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(11, thickness, 1.256)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
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    {
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      "reasoning": "Increase all_members thickness by 19%",
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      "to_node": "node_668",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.447)",
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      "to_node": "node_669",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.307)",
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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 12%",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 67%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 0 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.276)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.575)",
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      "to_node": "node_680",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
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      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.439)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.001923)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001978)",
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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, 1.122)",
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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, 1.111)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
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      "reasoning": "Optimal solution",
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      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002916)",
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      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002452)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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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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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.357)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002630)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.255)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.235)",
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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_711",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002272)",
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    {
      "from_node": "node_711",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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    {
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      "to_node": "node_713",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.453)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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    {
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      "to_node": "node_716",
      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.462)",
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    {
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      "edge_type": "modification",
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    {
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      "to_node": "node_721",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003796)",
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    {
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      "to_node": "node_722",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
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    {
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      "to_node": "node_723",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
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      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003562)",
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      "to_node": "node_724",
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      "reasoning": "Increase 11 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.328)",
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    {
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      "to_node": "node_725",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
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    {
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      "to_node": "node_726",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_728",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002662)",
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    {
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      "to_node": "node_729",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.300)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 5",
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      "reasoning": "Add member connecting joints 2 and 6",
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      "to_node": "node_733",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
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      "to_node": "node_734",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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    {
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      "to_node": "node_735",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_737",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.376)",
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    {
      "from_node": "node_737",
      "to_node": "node_738",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
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      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003217)",
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      "from_node": "node_738",
      "to_node": "node_739",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003072)",
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    {
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      "to_node": "node_740",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003472)",
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    {
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      "to_node": "node_741",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
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    {
      "from_node": "node_741",
      "to_node": "node_742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
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      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003727)",
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    {
      "from_node": "node_742",
      "to_node": "node_743",
      "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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    {
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      "to_node": "node_744",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_745",
      "to_node": "node_746",
      "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_746",
      "to_node": "node_747",
      "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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      "from_node": "node_747",
      "to_node": "node_748",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
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    {
      "from_node": "node_748",
      "to_node": "node_749",
      "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_749",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
      "from_node": "node_750",
      "to_node": "node_751",
      "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_751",
      "to_node": "node_752",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_754",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_754",
      "to_node": "node_755",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
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    {
      "from_node": "node_755",
      "to_node": "node_756",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.179)",
      "action_type": null,
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    {
      "from_node": "node_756",
      "to_node": "node_757",
      "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_757",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_758",
      "to_node": "node_759",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_760",
      "to_node": "node_761",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001864)",
      "action_type": null,
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    {
      "from_node": "node_761",
      "to_node": "node_762",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.590)",
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    {
      "from_node": "node_762",
      "to_node": "node_763",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.250)",
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    {
      "from_node": "node_763",
      "to_node": "node_764",
      "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_764",
      "to_node": "node_765",
      "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_765",
      "to_node": "node_766",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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    {
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      "to_node": "node_767",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_768",
      "to_node": "node_769",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002495)",
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    {
      "from_node": "node_769",
      "to_node": "node_770",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
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    {
      "from_node": "node_770",
      "to_node": "node_771",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
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      "to_node": "node_772",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_774",
      "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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      "to_node": "node_775",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001806)",
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      "to_node": "node_776",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.427)",
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    {
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      "to_node": "node_777",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.117)",
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      "to_node": "node_778",
      "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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    {
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      "to_node": "node_779",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.299)",
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    {
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      "to_node": "node_780",
      "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_782",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.517)",
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    {
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      "to_node": "node_783",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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      "to_node": "node_784",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.248)",
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    {
      "from_node": "node_784",
      "to_node": "node_785",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
      "from_node": "node_785",
      "to_node": "node_786",
      "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_788",
      "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_788",
      "to_node": "node_789",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003049)",
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      "target_member": null,
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    {
      "from_node": "node_789",
      "to_node": "node_790",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
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      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Increase all_members thickness by 21%",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.538)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "reasoning": "Increase 14 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.587)",
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    {
      "from_node": "node_818",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003533)",
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      "to_node": "node_823",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "reasoning": "Increase 15 thickness by 50%",
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      "grammar_action": "SCALE_PARAM(15, thickness, 1.504)",
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      "reasoning": "Add member connecting joints 7 and 8",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(10, thickness, 1.350)",
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      "reasoning": "Increase all_members thickness by 15%",
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      "to_node": "node_848",
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      "reasoning": "Increase all_members thickness by 14%",
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      "reasoning": "Increase all_members thickness by 16%",
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      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 7",
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      "reasoning": "Optimal solution",
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      "reasoning": "Increase 15 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.328)",
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      "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 all_members thickness by 17%",
      "metadata": null,
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      "edge_type": "modification",
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      "from_node": "node_864",
      "to_node": "node_865",
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      "reasoning": "Add member connecting joints 2 and 6",
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    {
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      "grammar_action": "SCALE_PARAM(15, thickness, 1.499)",
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      "to_node": "node_868",
      "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_868",
      "to_node": "node_869",
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      "reasoning": "Add member connecting joints 3 and 7",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
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      "edge_type": "modification",
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      "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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      "reasoning": "Increase 16 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.486)",
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      "to_node": "node_880",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002351)",
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    {
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      "to_node": "node_881",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.370)",
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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, 1.117)",
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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",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.357)",
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    {
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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": "Increase all_members thickness by 18%",
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    {
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      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.305)",
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    {
      "from_node": "node_893",
      "to_node": "node_894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003007)",
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    {
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      "reasoning": "Increase all_members thickness by 29%",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.200)",
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    {
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      "to_node": "node_900",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002570)",
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    {
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
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    {
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      "to_node": "node_905",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
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      "to_node": "node_908",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(4, thickness, 1.495)",
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      "to_node": "node_910",
      "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_911",
      "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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    {
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      "to_node": "node_912",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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      "reasoning": "Add member connecting joints 0 and 6",
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      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "to_node": "node_914",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_916",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
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      "to_node": "node_917",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
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      "to_node": "node_918",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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      "to_node": "node_919",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_921",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002276)",
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      "to_node": "node_922",
      "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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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.269)",
      "action_type": null,
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      "to_node": "node_924",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002447)",
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      "from_node": "node_924",
      "to_node": "node_925",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003543)",
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    {
      "from_node": "node_925",
      "to_node": "node_926",
      "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_926",
      "to_node": "node_927",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_928",
      "to_node": "node_929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003907)",
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      "to_node": "node_930",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.610)",
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.299)",
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      "from_node": "node_931",
      "to_node": "node_932",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002543)",
      "action_type": null,
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    {
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      "to_node": "node_933",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.168)",
      "action_type": null,
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    {
      "from_node": "node_933",
      "to_node": "node_934",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_936",
      "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 6 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.603)",
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    {
      "from_node": "node_937",
      "to_node": "node_938",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002540)",
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    {
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      "to_node": "node_939",
      "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_940",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_941",
      "to_node": "node_942",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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      "to_node": "node_943",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.368)",
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    {
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      "to_node": "node_944",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
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      "to_node": "node_945",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_947",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.418)",
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    {
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      "to_node": "node_948",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.362)",
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      "to_node": "node_950",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
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      "to_node": "node_952",
      "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_954",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.326)",
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.199)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.295)",
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    {
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.232)",
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    {
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      "to_node": "node_960",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_962",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003733)",
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      "to_node": "node_963",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.233)",
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    {
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      "to_node": "node_964",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003624)",
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    {
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      "to_node": "node_965",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003939)",
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      "to_node": "node_966",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.429)",
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      "to_node": "node_967",
      "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_968",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_970",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002231)",
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    {
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      "to_node": "node_971",
      "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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      "scale_factor": null
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    {
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      "to_node": "node_972",
      "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_973",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.188)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.259)",
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    {
      "from_node": "node_974",
      "to_node": "node_975",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_977",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.248)",
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      "to_node": "node_978",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.271)",
      "action_type": null,
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      "from_node": "node_978",
      "to_node": "node_979",
      "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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      "to_node": "node_980",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.366)",
      "action_type": null,
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    {
      "from_node": "node_980",
      "to_node": "node_981",
      "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_981",
      "to_node": "node_982",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.595)",
      "action_type": null,
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      "from_node": "node_982",
      "to_node": "node_983",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_983",
      "to_node": "node_984",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_985",
      "to_node": "node_986",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001891)",
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    {
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      "to_node": "node_987",
      "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_987",
      "to_node": "node_988",
      "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_988",
      "to_node": "node_989",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003650)",
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    {
      "from_node": "node_989",
      "to_node": "node_990",
      "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_990",
      "to_node": "node_991",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
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    {
      "from_node": "node_993",
      "to_node": "node_994",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.271)",
      "action_type": null,
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    {
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      "to_node": "node_996",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
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      "to_node": "node_997",
      "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 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.181)",
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    {
      "from_node": "node_999",
      "to_node": "node_1000",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
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    {
      "from_node": "node_1000",
      "to_node": "node_1001",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1001",
      "to_node": "node_1002",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_1002",
      "to_node": "node_1003",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1004",
      "to_node": "node_1005",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003701)",
      "action_type": null,
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    {
      "from_node": "node_1005",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001724)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.333)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.292)",
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      "to_node": "node_1009",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.325)",
      "action_type": null,
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    {
      "from_node": "node_1009",
      "to_node": "node_1010",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1011",
      "to_node": "node_1012",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1012",
      "to_node": "node_1013",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
      "from_node": "node_1013",
      "to_node": "node_1014",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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      "to_node": "node_1015",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.206)",
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    {
      "from_node": "node_1015",
      "to_node": "node_1016",
      "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_1018",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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    {
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      "to_node": "node_1019",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
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    {
      "from_node": "node_1019",
      "to_node": "node_1020",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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    {
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      "to_node": "node_1021",
      "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_1023",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.468)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.481)",
      "action_type": null,
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    {
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      "to_node": "node_1025",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003599)",
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      "to_node": "node_1026",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.346)",
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      "to_node": "node_1027",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002579)",
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    {
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      "to_node": "node_1028",
      "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_1029",
      "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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      "scale_factor": null
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    {
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      "to_node": "node_1030",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1032",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.468)",
      "action_type": null,
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    {
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      "to_node": "node_1033",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.208)",
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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_1034",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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      "metadata": null,
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      "reasoning": "Increase all_members thickness by 18%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.156)",
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      "to_node": "node_1043",
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      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003530)",
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      "to_node": "node_1044",
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      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002034)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.326)",
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      "to_node": "node_1050",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
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      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003954)",
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      "to_node": "node_1052",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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      "to_node": "node_1053",
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      "reasoning": "Increase all_members thickness by 18%",
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      "metadata": null,
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      "metadata": null,
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      "metadata": null,
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      "metadata": null,
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      "to_node": "node_1060",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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    {
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004283)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
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      "to_node": "node_1065",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
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      "to_node": "node_1066",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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      "to_node": "node_1067",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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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 21%",
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      "to_node": "node_1074",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.285)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.236)",
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      "to_node": "node_1077",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_1086",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
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      "to_node": "node_1089",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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      "to_node": "node_1092",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1094",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002259)",
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      "to_node": "node_1095",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 51%",
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      "grammar_action": "SCALE_PARAM(19, thickness, 1.508)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
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      "to_node": "node_1098",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
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      "to_node": "node_1099",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
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      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
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    {
      "from_node": "node_1099",
      "to_node": "node_1100",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_1101",
      "to_node": "node_1102",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002986)",
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    {
      "from_node": "node_1102",
      "to_node": "node_1103",
      "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_1103",
      "to_node": "node_1104",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
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    {
      "from_node": "node_1104",
      "to_node": "node_1105",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": 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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      "from_node": "node_1107",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003593)",
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    {
      "from_node": "node_1108",
      "to_node": "node_1109",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004274)",
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      "from_node": "node_1109",
      "to_node": "node_1110",
      "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_1110",
      "to_node": "node_1111",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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    {
      "from_node": "node_1111",
      "to_node": "node_1112",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1114",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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      "from_node": "node_1114",
      "to_node": "node_1115",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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      "from_node": "node_1115",
      "to_node": "node_1116",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_1116",
      "to_node": "node_1117",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_1118",
      "to_node": "node_1119",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
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      "from_node": "node_1119",
      "to_node": "node_1120",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.366)",
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    {
      "from_node": "node_1120",
      "to_node": "node_1121",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
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    {
      "from_node": "node_1121",
      "to_node": "node_1122",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1124",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.304)",
      "action_type": null,
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    {
      "from_node": "node_1124",
      "to_node": "node_1125",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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    {
      "from_node": "node_1125",
      "to_node": "node_1126",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.359)",
      "action_type": null,
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    {
      "from_node": "node_1126",
      "to_node": "node_1127",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_1127",
      "to_node": "node_1128",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1128",
      "to_node": "node_1129",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1130",
      "to_node": "node_1131",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.252)",
      "action_type": null,
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    {
      "from_node": "node_1131",
      "to_node": "node_1132",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.263)",
      "action_type": null,
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    {
      "from_node": "node_1132",
      "to_node": "node_1133",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
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    {
      "from_node": "node_1133",
      "to_node": "node_1134",
      "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_1136",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.199)",
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    {
      "from_node": "node_1136",
      "to_node": "node_1137",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.435)",
      "action_type": null,
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    {
      "from_node": "node_1137",
      "to_node": "node_1138",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003355)",
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    {
      "from_node": "node_1138",
      "to_node": "node_1139",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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    {
      "from_node": "node_1139",
      "to_node": "node_1140",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1141",
      "to_node": "node_1142",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.439)",
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    {
      "from_node": "node_1142",
      "to_node": "node_1143",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003924)",
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    {
      "from_node": "node_1143",
      "to_node": "node_1144",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
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      "scale_factor": null
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    {
      "from_node": "node_1144",
      "to_node": "node_1145",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
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      "to_node": "node_1146",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.256)",
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    {
      "from_node": "node_1146",
      "to_node": "node_1147",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1149",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.562)",
      "action_type": null,
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    {
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      "to_node": "node_1150",
      "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_1150",
      "to_node": "node_1151",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_1151",
      "to_node": "node_1152",
      "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_1154",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1154",
      "to_node": "node_1155",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002036)",
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      "target_member": null,
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    {
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      "to_node": "node_1156",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
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      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003638)",
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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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      "to_node": "node_1159",
      "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_1159",
      "to_node": "node_1160",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
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      "to_node": "node_1161",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1163",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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      "from_node": "node_1163",
      "to_node": "node_1164",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.282)",
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      "to_node": "node_1165",
      "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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      "to_node": "node_1166",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.285)",
      "action_type": null,
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      "to_node": "node_1167",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
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      "to_node": "node_1168",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.295)",
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    {
      "from_node": "node_1168",
      "to_node": "node_1169",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.464)",
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    {
      "from_node": "node_1169",
      "to_node": "node_1170",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1171",
      "to_node": "node_1172",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003645)",
      "action_type": null,
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    {
      "from_node": "node_1172",
      "to_node": "node_1173",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.236)",
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    {
      "from_node": "node_1173",
      "to_node": "node_1174",
      "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_1174",
      "to_node": "node_1175",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_1175",
      "to_node": "node_1176",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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      "to_node": "node_1177",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.232)",
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    {
      "from_node": "node_1177",
      "to_node": "node_1178",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1179",
      "to_node": "node_1180",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003547)",
      "action_type": null,
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    {
      "from_node": "node_1180",
      "to_node": "node_1181",
      "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_1181",
      "to_node": "node_1182",
      "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_1183",
      "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_1183",
      "to_node": "node_1184",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
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    {
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      "to_node": "node_1185",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.577)",
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    {
      "from_node": "node_1185",
      "to_node": "node_1186",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1188",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.587)",
      "action_type": null,
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    {
      "from_node": "node_1188",
      "to_node": "node_1189",
      "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_1189",
      "to_node": "node_1190",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
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    {
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      "to_node": "node_1191",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.418)",
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    {
      "from_node": "node_1191",
      "to_node": "node_1192",
      "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_1192",
      "to_node": "node_1193",
      "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_1195",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.490)",
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    {
      "from_node": "node_1195",
      "to_node": "node_1196",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001746)",
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    {
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      "to_node": "node_1197",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1197",
      "to_node": "node_1198",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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    {
      "from_node": "node_1198",
      "to_node": "node_1199",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.238)",
      "action_type": null,
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    {
      "from_node": "node_1199",
      "to_node": "node_1200",
      "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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    {
      "from_node": "node_1200",
      "to_node": "node_1201",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1202",
      "to_node": "node_1203",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002660)",
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    {
      "from_node": "node_1203",
      "to_node": "node_1204",
      "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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    {
      "from_node": "node_1204",
      "to_node": "node_1205",
      "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
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    {
      "from_node": "node_1205",
      "to_node": "node_1206",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1208",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.318)",
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    {
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      "to_node": "node_1209",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
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      "scale_factor": null
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    {
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      "to_node": "node_1210",
      "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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    {
      "from_node": "node_1210",
      "to_node": "node_1211",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003767)",
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      "target_member": null,
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    {
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      "to_node": "node_1212",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
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      "scale_factor": null
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    {
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      "to_node": "node_1213",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "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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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1216",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
      "target_member": null,
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.433)",
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      "to_node": "node_1220",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "to_node": "node_1221",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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      "to_node": "node_1222",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "from_node": "node_1222",
      "to_node": "node_1223",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1225",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
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      "edge_type": "modification",
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      "metadata": null,
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      "to_node": "node_1227",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
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      "to_node": "node_1228",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1230",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003559)",
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      "from_node": "node_1230",
      "to_node": "node_1231",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002423)",
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      "to_node": "node_1232",
      "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_1233",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.186)",
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      "to_node": "node_1234",
      "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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      "to_node": "node_1235",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
      "from_node": "node_1235",
      "to_node": "node_1236",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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    {
      "from_node": "node_1236",
      "to_node": "node_1237",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "from_node": "node_1238",
      "to_node": "node_1239",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001323)",
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      "to_node": "node_1240",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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      "to_node": "node_1241",
      "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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      "to_node": "node_1242",
      "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_1243",
      "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_1243",
      "to_node": "node_1244",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003292)",
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    {
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      "to_node": "node_1245",
      "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_1245",
      "to_node": "node_1246",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1247",
      "to_node": "node_1248",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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      "to_node": "node_1249",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.451)",
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      "from_node": "node_1249",
      "to_node": "node_1250",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.199)",
      "action_type": null,
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    {
      "from_node": "node_1250",
      "to_node": "node_1251",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
      "from_node": "node_1251",
      "to_node": "node_1252",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_1252",
      "to_node": "node_1253",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1254",
      "to_node": "node_1255",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.239)",
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    {
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      "to_node": "node_1256",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.182)",
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    {
      "from_node": "node_1256",
      "to_node": "node_1257",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003189)",
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    {
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      "to_node": "node_1258",
      "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_1258",
      "to_node": "node_1259",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003117)",
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    {
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      "to_node": "node_1260",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
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    {
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      "to_node": "node_1261",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1262",
      "to_node": "node_1263",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002212)",
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    {
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      "to_node": "node_1264",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
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      "to_node": "node_1265",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.276)",
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      "to_node": "node_1266",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.359)",
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      "to_node": "node_1267",
      "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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    {
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      "to_node": "node_1268",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "to_node": "node_1270",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003354)",
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      "to_node": "node_1271",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
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      "to_node": "node_1272",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.330)",
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    {
      "from_node": "node_1272",
      "to_node": "node_1273",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.605)",
      "action_type": null,
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      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1273",
      "to_node": "node_1274",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.335)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1274",
      "to_node": "node_1275",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002529)",
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    {
      "from_node": "node_1275",
      "to_node": "node_1276",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.175)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1276",
      "to_node": "node_1277",
      "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_1278",
      "to_node": "node_1279",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005034)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1279",
      "to_node": "node_1280",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.548)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1280",
      "to_node": "node_1281",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1281",
      "to_node": "node_1282",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1282",
      "to_node": "node_1283",
      "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_1284",
      "to_node": "node_1285",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002498)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1285",
      "to_node": "node_1286",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1286",
      "to_node": "node_1287",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1287",
      "to_node": "node_1288",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003503)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1288",
      "to_node": "node_1289",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1289",
      "to_node": "node_1290",
      "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_1291",
      "to_node": "node_1292",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1292",
      "to_node": "node_1293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003094)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1293",
      "to_node": "node_1294",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1294",
      "to_node": "node_1295",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002523)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1295",
      "to_node": "node_1296",
      "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,
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    {
      "from_node": "node_1296",
      "to_node": "node_1297",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1297",
      "to_node": "node_1298",
      "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_1299",
      "to_node": "node_1300",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1300",
      "to_node": "node_1301",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1301",
      "to_node": "node_1302",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1302",
      "to_node": "node_1303",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_1304",
      "to_node": "node_1305",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1305",
      "to_node": "node_1306",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1306",
      "to_node": "node_1307",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003410)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1307",
      "to_node": "node_1308",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1308",
      "to_node": "node_1309",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1309",
      "to_node": "node_1310",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.134)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1310",
      "to_node": "node_1311",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_1312",
      "to_node": "node_1313",
      "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_1313",
      "to_node": "node_1314",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.335)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1314",
      "to_node": "node_1315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1315",
      "to_node": "node_1316",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1316",
      "to_node": "node_1317",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1317",
      "to_node": "node_1318",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1318",
      "to_node": "node_1319",
      "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_1320",
      "to_node": "node_1321",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1321",
      "to_node": "node_1322",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1322",
      "to_node": "node_1323",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1323",
      "to_node": "node_1324",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.422)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1324",
      "to_node": "node_1325",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1325",
      "to_node": "node_1326",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1327",
      "to_node": "node_1328",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1328",
      "to_node": "node_1329",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.364)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1329",
      "to_node": "node_1330",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1330",
      "to_node": "node_1331",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1331",
      "to_node": "node_1332",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1333",
      "to_node": "node_1334",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1334",
      "to_node": "node_1335",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.493)",
      "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_1335",
      "to_node": "node_1336",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.433)",
      "action_type": null,
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      "from_node": "node_1336",
      "to_node": "node_1337",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003631)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1337",
      "to_node": "node_1338",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002431)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1338",
      "to_node": "node_1339",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.222)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1339",
      "to_node": "node_1340",
      "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_1341",
      "to_node": "node_1342",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1342",
      "to_node": "node_1343",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002563)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1343",
      "to_node": "node_1344",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1344",
      "to_node": "node_1345",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.529)",
      "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_1345",
      "to_node": "node_1346",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1346",
      "to_node": "node_1347",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1347",
      "to_node": "node_1348",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1349",
      "to_node": "node_1350",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.488)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1350",
      "to_node": "node_1351",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002621)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1351",
      "to_node": "node_1352",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1352",
      "to_node": "node_1353",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1353",
      "to_node": "node_1354",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1354",
      "to_node": "node_1355",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, 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_1355",
      "to_node": "node_1356",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1358",
      "to_node": "node_1359",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1359",
      "to_node": "node_1360",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1360",
      "to_node": "node_1361",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1361",
      "to_node": "node_1362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1362",
      "to_node": "node_1363",
      "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_1364",
      "to_node": "node_1365",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004249)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1365",
      "to_node": "node_1366",
      "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
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    {
      "from_node": "node_1366",
      "to_node": "node_1367",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.217)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1367",
      "to_node": "node_1368",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.351)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1368",
      "to_node": "node_1369",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, 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_1369",
      "to_node": "node_1370",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1370",
      "to_node": "node_1371",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1372",
      "to_node": "node_1373",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.515)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1373",
      "to_node": "node_1374",
      "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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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1374",
      "to_node": "node_1375",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001583)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1375",
      "to_node": "node_1376",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_1376",
      "to_node": "node_1377",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1377",
      "to_node": "node_1378",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1378",
      "to_node": "node_1379",
      "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_1380",
      "to_node": "node_1381",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.605)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1381",
      "to_node": "node_1382",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1382",
      "to_node": "node_1383",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, 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_1383",
      "to_node": "node_1384",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1384",
      "to_node": "node_1385",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1385",
      "to_node": "node_1386",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1387",
      "to_node": "node_1388",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1388",
      "to_node": "node_1389",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, 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_1389",
      "to_node": "node_1390",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1390",
      "to_node": "node_1391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1391",
      "to_node": "node_1392",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1393",
      "to_node": "node_1394",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002556)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1394",
      "to_node": "node_1395",
      "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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      "from_node": "node_1395",
      "to_node": "node_1396",
      "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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      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1396",
      "to_node": "node_1397",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004505)",
      "action_type": null,
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    {
      "from_node": "node_1397",
      "to_node": "node_1398",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1398",
      "to_node": "node_1399",
      "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_1400",
      "to_node": "node_1401",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "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_1401",
      "to_node": "node_1402",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1402",
      "to_node": "node_1403",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.344)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1403",
      "to_node": "node_1404",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1404",
      "to_node": "node_1405",
      "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_1406",
      "to_node": "node_1407",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.616)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1407",
      "to_node": "node_1408",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001555)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1408",
      "to_node": "node_1409",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.122)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1409",
      "to_node": "node_1410",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001564)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1410",
      "to_node": "node_1411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002265)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1411",
      "to_node": "node_1412",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1412",
      "to_node": "node_1413",
      "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
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    {
      "from_node": "node_1413",
      "to_node": "node_1414",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1415",
      "to_node": "node_1416",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003237)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1416",
      "to_node": "node_1417",
      "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_1417",
      "to_node": "node_1418",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.520)",
      "action_type": null,
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    {
      "from_node": "node_1418",
      "to_node": "node_1419",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1419",
      "to_node": "node_1420",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1420",
      "to_node": "node_1421",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1421",
      "to_node": "node_1422",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1423",
      "to_node": "node_1424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.001704)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1424",
      "to_node": "node_1425",
      "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_1425",
      "to_node": "node_1426",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.314)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1426",
      "to_node": "node_1427",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.387)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1427",
      "to_node": "node_1428",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1428",
      "to_node": "node_1429",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_1429",
      "to_node": "node_1430",
      "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,
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    },
    {
      "from_node": "node_1430",
      "to_node": "node_1431",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1432",
      "to_node": "node_1433",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, 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_1433",
      "to_node": "node_1434",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001816)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1434",
      "to_node": "node_1435",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.490)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1435",
      "to_node": "node_1436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002729)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1436",
      "to_node": "node_1437",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.151)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1437",
      "to_node": "node_1438",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002859)",
      "action_type": null,
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    },
    {
      "from_node": "node_1438",
      "to_node": "node_1439",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1439",
      "to_node": "node_1440",
      "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_1441",
      "to_node": "node_1442",
      "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_1442",
      "to_node": "node_1443",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.520)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1443",
      "to_node": "node_1444",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.451)",
      "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_1444",
      "to_node": "node_1445",
      "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_1446",
      "to_node": "node_1447",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002321)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1447",
      "to_node": "node_1448",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004478)",
      "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_1449",
      "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_1449",
      "to_node": "node_1450",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001907)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_1451",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1451",
      "to_node": "node_1452",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1452",
      "to_node": "node_1453",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "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_1453",
      "to_node": "node_1454",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_1456",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001563)",
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      "to_node": "node_1457",
      "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_1457",
      "to_node": "node_1458",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003794)",
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    {
      "from_node": "node_1458",
      "to_node": "node_1459",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
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      "from_node": "node_1459",
      "to_node": "node_1460",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
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      "from_node": "node_1460",
      "to_node": "node_1461",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
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    {
      "from_node": "node_1461",
      "to_node": "node_1462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_1462",
      "to_node": "node_1463",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1464",
      "to_node": "node_1465",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_1465",
      "to_node": "node_1466",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
      "action_type": null,
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    {
      "from_node": "node_1466",
      "to_node": "node_1467",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.144)",
      "action_type": null,
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    {
      "from_node": "node_1467",
      "to_node": "node_1468",
      "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_1468",
      "to_node": "node_1469",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
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    {
      "from_node": "node_1469",
      "to_node": "node_1470",
      "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_1470",
      "to_node": "node_1471",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1472",
      "to_node": "node_1473",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.235)",
      "action_type": null,
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    {
      "from_node": "node_1473",
      "to_node": "node_1474",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003554)",
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    {
      "from_node": "node_1474",
      "to_node": "node_1475",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
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    {
      "from_node": "node_1475",
      "to_node": "node_1476",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1477",
      "to_node": "node_1478",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003347)",
      "action_type": null,
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    {
      "from_node": "node_1478",
      "to_node": "node_1479",
      "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_1479",
      "to_node": "node_1480",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
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    {
      "from_node": "node_1480",
      "to_node": "node_1481",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
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    {
      "from_node": "node_1481",
      "to_node": "node_1482",
      "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_1484",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.198)",
      "action_type": null,
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    {
      "from_node": "node_1484",
      "to_node": "node_1485",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004612)",
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    {
      "from_node": "node_1485",
      "to_node": "node_1486",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002321)",
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    {
      "from_node": "node_1486",
      "to_node": "node_1487",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003140)",
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    {
      "from_node": "node_1487",
      "to_node": "node_1488",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.395)",
      "action_type": null,
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    {
      "from_node": "node_1488",
      "to_node": "node_1489",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003565)",
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    {
      "from_node": "node_1489",
      "to_node": "node_1490",
      "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_1490",
      "to_node": "node_1491",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1492",
      "to_node": "node_1493",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.425)",
      "action_type": null,
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    {
      "from_node": "node_1493",
      "to_node": "node_1494",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.209)",
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    {
      "from_node": "node_1494",
      "to_node": "node_1495",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.214)",
      "action_type": null,
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    {
      "from_node": "node_1495",
      "to_node": "node_1496",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_1497",
      "to_node": "node_1498",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
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      "to_node": "node_1499",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.621)",
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    {
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      "to_node": "node_1500",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.531)",
      "action_type": null,
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    {
      "from_node": "node_1500",
      "to_node": "node_1501",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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    {
      "from_node": "node_1501",
      "to_node": "node_1502",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.377)",
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    {
      "from_node": "node_1502",
      "to_node": "node_1503",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_1503",
      "to_node": "node_1504",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1505",
      "to_node": "node_1506",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.192)",
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    {
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      "to_node": "node_1507",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.208)",
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      "scale_factor": null
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    {
      "from_node": "node_1507",
      "to_node": "node_1508",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002615)",
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    {
      "from_node": "node_1508",
      "to_node": "node_1509",
      "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_1510",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.567)",
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    {
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      "to_node": "node_1511",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
      "from_node": "node_1511",
      "to_node": "node_1512",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1512",
      "to_node": "node_1513",
      "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_1515",
      "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,
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    {
      "from_node": "node_1515",
      "to_node": "node_1516",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003666)",
      "action_type": null,
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    {
      "from_node": "node_1516",
      "to_node": "node_1517",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.307)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1517",
      "to_node": "node_1518",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.302)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1518",
      "to_node": "node_1519",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002607)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1519",
      "to_node": "node_1520",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.538)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_1520",
      "to_node": "node_1521",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1521",
      "to_node": "node_1522",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1523",
      "to_node": "node_1524",
      "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,
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    {
      "from_node": "node_1524",
      "to_node": "node_1525",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1525",
      "to_node": "node_1526",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1526",
      "to_node": "node_1527",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1527",
      "to_node": "node_1528",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.468)",
      "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_1528",
      "to_node": "node_1529",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1529",
      "to_node": "node_1530",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1531",
      "to_node": "node_1532",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.429)",
      "action_type": null,
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    {
      "from_node": "node_1532",
      "to_node": "node_1533",
      "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,
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    {
      "from_node": "node_1533",
      "to_node": "node_1534",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1534",
      "to_node": "node_1535",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1535",
      "to_node": "node_1536",
      "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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    {
      "from_node": "node_1536",
      "to_node": "node_1537",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1537",
      "to_node": "node_1538",
      "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_1539",
      "to_node": "node_1540",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002999)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1540",
      "to_node": "node_1541",
      "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
    },
    {
      "from_node": "node_1541",
      "to_node": "node_1542",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004730)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1542",
      "to_node": "node_1543",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.511)",
      "action_type": null,
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    {
      "from_node": "node_1543",
      "to_node": "node_1544",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.350)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1544",
      "to_node": "node_1545",
      "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_1545",
      "to_node": "node_1546",
      "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_1547",
      "to_node": "node_1548",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1548",
      "to_node": "node_1549",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1549",
      "to_node": "node_1550",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1550",
      "to_node": "node_1551",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1552",
      "to_node": "node_1553",
      "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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    {
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      "to_node": "node_1554",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.486)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1554",
      "to_node": "node_1555",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.650)",
      "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_1555",
      "to_node": "node_1556",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003491)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1556",
      "to_node": "node_1557",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_1557",
      "to_node": "node_1558",
      "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_1559",
      "to_node": "node_1560",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002542)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1560",
      "to_node": "node_1561",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003515)",
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      "target_member": null,
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    {
      "from_node": "node_1561",
      "to_node": "node_1562",
      "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,
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      "scale_factor": null
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    {
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      "to_node": "node_1563",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.229)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1563",
      "to_node": "node_1564",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1564",
      "to_node": "node_1565",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1565",
      "to_node": "node_1566",
      "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_1567",
      "to_node": "node_1568",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002914)",
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      "target_member": null,
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    {
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      "to_node": "node_1569",
      "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_1570",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.328)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1570",
      "to_node": "node_1571",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1572",
      "to_node": "node_1573",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.001858)",
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      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1573",
      "to_node": "node_1574",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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    {
      "from_node": "node_1574",
      "to_node": "node_1575",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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    {
      "from_node": "node_1575",
      "to_node": "node_1576",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.276)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1576",
      "to_node": "node_1577",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.129)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1577",
      "to_node": "node_1578",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1579",
      "to_node": "node_1580",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.370)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1580",
      "to_node": "node_1581",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1581",
      "to_node": "node_1582",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.340)",
      "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_1582",
      "to_node": "node_1583",
      "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_1584",
      "to_node": "node_1585",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1585",
      "to_node": "node_1586",
      "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,
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    {
      "from_node": "node_1586",
      "to_node": "node_1587",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.541)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1587",
      "to_node": "node_1588",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.664)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1588",
      "to_node": "node_1589",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1589",
      "to_node": "node_1590",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1590",
      "to_node": "node_1591",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1592",
      "to_node": "node_1593",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1593",
      "to_node": "node_1594",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.222)",
      "action_type": null,
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    {
      "from_node": "node_1594",
      "to_node": "node_1595",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1595",
      "to_node": "node_1596",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1596",
      "to_node": "node_1597",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1598",
      "to_node": "node_1599",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.330)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1599",
      "to_node": "node_1600",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1600",
      "to_node": "node_1601",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1601",
      "to_node": "node_1602",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1603",
      "to_node": "node_1604",
      "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
    },
    {
      "from_node": "node_1604",
      "to_node": "node_1605",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001799)",
      "action_type": null,
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    {
      "from_node": "node_1605",
      "to_node": "node_1606",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.475)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1606",
      "to_node": "node_1607",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003970)",
      "action_type": null,
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    {
      "from_node": "node_1607",
      "to_node": "node_1608",
      "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_1608",
      "to_node": "node_1609",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1609",
      "to_node": "node_1610",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1610",
      "to_node": "node_1611",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1612",
      "to_node": "node_1613",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1613",
      "to_node": "node_1614",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1614",
      "to_node": "node_1615",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1615",
      "to_node": "node_1616",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001911)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1616",
      "to_node": "node_1617",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1617",
      "to_node": "node_1618",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1618",
      "to_node": "node_1619",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1620",
      "to_node": "node_1621",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.555)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_1621",
      "to_node": "node_1622",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.227)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1622",
      "to_node": "node_1623",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1623",
      "to_node": "node_1624",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1624",
      "to_node": "node_1625",
      "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_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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1627",
      "to_node": "node_1628",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.181)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1628",
      "to_node": "node_1629",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005082)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1629",
      "to_node": "node_1630",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002571)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1630",
      "to_node": "node_1631",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003334)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1631",
      "to_node": "node_1632",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.190)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1632",
      "to_node": "node_1633",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.163)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_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,
      "new_value": null,
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      "to_node": "node_1636",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.572)",
      "action_type": null,
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      "to_node": "node_1637",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
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      "from_node": "node_1637",
      "to_node": "node_1638",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.464)",
      "action_type": null,
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    {
      "from_node": "node_1638",
      "to_node": "node_1639",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_1639",
      "to_node": "node_1640",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1642",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.233)",
      "action_type": null,
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      "from_node": "node_1642",
      "to_node": "node_1643",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.176)",
      "action_type": null,
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    {
      "from_node": "node_1643",
      "to_node": "node_1644",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
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    {
      "from_node": "node_1644",
      "to_node": "node_1645",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
      "action_type": null,
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    {
      "from_node": "node_1645",
      "to_node": "node_1646",
      "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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    {
      "from_node": "node_1646",
      "to_node": "node_1647",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1648",
      "to_node": "node_1649",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002494)",
      "action_type": null,
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    {
      "from_node": "node_1649",
      "to_node": "node_1650",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_1650",
      "to_node": "node_1651",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.379)",
      "action_type": null,
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    {
      "from_node": "node_1651",
      "to_node": "node_1652",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.506)",
      "action_type": null,
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    {
      "from_node": "node_1652",
      "to_node": "node_1653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
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    {
      "from_node": "node_1653",
      "to_node": "node_1654",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_1654",
      "to_node": "node_1655",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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    {
      "from_node": "node_1655",
      "to_node": "node_1656",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1657",
      "to_node": "node_1658",
      "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_1658",
      "to_node": "node_1659",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.493)",
      "action_type": null,
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    {
      "from_node": "node_1659",
      "to_node": "node_1660",
      "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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    {
      "from_node": "node_1660",
      "to_node": "node_1661",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.548)",
      "action_type": null,
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    {
      "from_node": "node_1661",
      "to_node": "node_1662",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1663",
      "to_node": "node_1664",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.136)",
      "action_type": null,
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    {
      "from_node": "node_1664",
      "to_node": "node_1665",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1665",
      "to_node": "node_1666",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "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": "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_1669",
      "to_node": "node_1670",
      "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_1670",
      "to_node": "node_1671",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003092)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1671",
      "to_node": "node_1672",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.225)",
      "action_type": null,
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    {
      "from_node": "node_1672",
      "to_node": "node_1673",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.565)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1673",
      "to_node": "node_1674",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1674",
      "to_node": "node_1675",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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      "target_member": 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": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.277)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1678",
      "to_node": "node_1679",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002788)",
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    {
      "from_node": "node_1679",
      "to_node": "node_1680",
      "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_1680",
      "to_node": "node_1681",
      "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_1681",
      "to_node": "node_1682",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
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      "to_node": "node_1683",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.325)",
      "action_type": null,
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    {
      "from_node": "node_1683",
      "to_node": "node_1684",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1686",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.422)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1687",
      "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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      "scale_factor": null
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    {
      "from_node": "node_1687",
      "to_node": "node_1688",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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      "target_member": null,
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    {
      "from_node": "node_1688",
      "to_node": "node_1689",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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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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    {
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      "to_node": "node_1692",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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      "to_node": "node_1693",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.458)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_1694",
      "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_1694",
      "to_node": "node_1695",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, 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_1695",
      "to_node": "node_1696",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
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    {
      "from_node": "node_1696",
      "to_node": "node_1697",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1698",
      "to_node": "node_1699",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
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    {
      "from_node": "node_1699",
      "to_node": "node_1700",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1700",
      "to_node": "node_1701",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.531)",
      "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 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.176)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1702",
      "to_node": "node_1703",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1704",
      "to_node": "node_1705",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1705",
      "to_node": "node_1706",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002035)",
      "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_1706",
      "to_node": "node_1707",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1707",
      "to_node": "node_1708",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1708",
      "to_node": "node_1709",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1709",
      "to_node": "node_1710",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.497)",
      "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_1710",
      "to_node": "node_1711",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "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_1711",
      "to_node": "node_1712",
      "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_1713",
      "to_node": "node_1714",
      "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_1714",
      "to_node": "node_1715",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003693)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1715",
      "to_node": "node_1716",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1716",
      "to_node": "node_1717",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1717",
      "to_node": "node_1718",
      "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_1719",
      "to_node": "node_1720",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, 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_1720",
      "to_node": "node_1721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1721",
      "to_node": "node_1722",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.212)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1722",
      "to_node": "node_1723",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1724",
      "to_node": "node_1725",
      "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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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1725",
      "to_node": "node_1726",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1726",
      "to_node": "node_1727",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003746)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1727",
      "to_node": "node_1728",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1728",
      "to_node": "node_1729",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.185)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1729",
      "to_node": "node_1730",
      "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_1731",
      "to_node": "node_1732",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1732",
      "to_node": "node_1733",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003235)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1733",
      "to_node": "node_1734",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003706)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1734",
      "to_node": "node_1735",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003533)",
      "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": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003919)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1736",
      "to_node": "node_1737",
      "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
    },
    {
      "from_node": "node_1737",
      "to_node": "node_1738",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1738",
      "to_node": "node_1739",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1740",
      "to_node": "node_1741",
      "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_1741",
      "to_node": "node_1742",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003677)",
      "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_1742",
      "to_node": "node_1743",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002692)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1743",
      "to_node": "node_1744",
      "edge_type": "modification",
      "reasoning": "Increase 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_1744",
      "to_node": "node_1745",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1746",
      "to_node": "node_1747",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003057)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1747",
      "to_node": "node_1748",
      "edge_type": "modification",
      "reasoning": "Increase 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_1748",
      "to_node": "node_1749",
      "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_1749",
      "to_node": "node_1750",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.330)",
      "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_1751",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.224)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1751",
      "to_node": "node_1752",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1752",
      "to_node": "node_1753",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1753",
      "to_node": "node_1754",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1755",
      "to_node": "node_1756",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
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    {
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      "to_node": "node_1757",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.348)",
      "action_type": null,
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      "from_node": "node_1757",
      "to_node": "node_1758",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.230)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1758",
      "to_node": "node_1759",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, 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_1759",
      "to_node": "node_1760",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1760",
      "to_node": "node_1761",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.580)",
      "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_1761",
      "to_node": "node_1762",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1763",
      "to_node": "node_1764",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001705)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_1764",
      "to_node": "node_1765",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.214)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1765",
      "to_node": "node_1766",
      "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_1766",
      "to_node": "node_1767",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004742)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1767",
      "to_node": "node_1768",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002458)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1768",
      "to_node": "node_1769",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.460)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_1769",
      "to_node": "node_1770",
      "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,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_1770",
      "to_node": "node_1771",
      "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_1772",
      "to_node": "node_1773",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1773",
      "to_node": "node_1774",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003707)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1774",
      "to_node": "node_1775",
      "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,
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    },
    {
      "from_node": "node_1775",
      "to_node": "node_1776",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1776",
      "to_node": "node_1777",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_1778",
      "to_node": "node_1779",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1779",
      "to_node": "node_1780",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002927)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1780",
      "to_node": "node_1781",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, 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_1781",
      "to_node": "node_1782",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1782",
      "to_node": "node_1783",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1784",
      "to_node": "node_1785",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002357)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1785",
      "to_node": "node_1786",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.631)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1786",
      "to_node": "node_1787",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003684)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1787",
      "to_node": "node_1788",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1788",
      "to_node": "node_1789",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.119)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1789",
      "to_node": "node_1790",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1790",
      "to_node": "node_1791",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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    },
    {
      "from_node": "node_1792",
      "to_node": "node_1793",
      "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,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1793",
      "to_node": "node_1794",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1794",
      "to_node": "node_1795",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1795",
      "to_node": "node_1796",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1796",
      "to_node": "node_1797",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1797",
      "to_node": "node_1798",
      "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_1799",
      "to_node": "node_1800",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1800",
      "to_node": "node_1801",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1801",
      "to_node": "node_1802",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.282)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1802",
      "to_node": "node_1803",
      "edge_type": "modification",
      "reasoning": "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_1804",
      "to_node": "node_1805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004018)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1805",
      "to_node": "node_1806",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002879)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1806",
      "to_node": "node_1807",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003106)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1807",
      "to_node": "node_1808",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1808",
      "to_node": "node_1809",
      "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_1809",
      "to_node": "node_1810",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.610)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1810",
      "to_node": "node_1811",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.200)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1811",
      "to_node": "node_1812",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1813",
      "to_node": "node_1814",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003985)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1814",
      "to_node": "node_1815",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1815",
      "to_node": "node_1816",
      "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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      "edge_type": "modification",
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      "to_node": "node_1819",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.211)",
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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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      "to_node": "node_1822",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003479)",
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      "from_node": "node_1822",
      "to_node": "node_1823",
      "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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      "to_node": "node_1824",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.297)",
      "action_type": null,
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    {
      "from_node": "node_1824",
      "to_node": "node_1825",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1827",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
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      "from_node": "node_1827",
      "to_node": "node_1828",
      "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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      "to_node": "node_1829",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.188)",
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    {
      "from_node": "node_1829",
      "to_node": "node_1830",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1832",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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      "to_node": "node_1833",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.368)",
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      "to_node": "node_1834",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.230)",
      "action_type": null,
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    {
      "from_node": "node_1834",
      "to_node": "node_1835",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
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    {
      "from_node": "node_1835",
      "to_node": "node_1836",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1838",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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      "from_node": "node_1838",
      "to_node": "node_1839",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.399)",
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      "from_node": "node_1839",
      "to_node": "node_1840",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
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    {
      "from_node": "node_1840",
      "to_node": "node_1841",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.441)",
      "action_type": null,
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    {
      "from_node": "node_1841",
      "to_node": "node_1842",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1844",
      "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_1844",
      "to_node": "node_1845",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.348)",
      "action_type": null,
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      "from_node": "node_1845",
      "to_node": "node_1846",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.534)",
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    {
      "from_node": "node_1846",
      "to_node": "node_1847",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.212)",
      "action_type": null,
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    {
      "from_node": "node_1847",
      "to_node": "node_1848",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.543)",
      "action_type": null,
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    {
      "from_node": "node_1848",
      "to_node": "node_1849",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1851",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.203)",
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    {
      "from_node": "node_1851",
      "to_node": "node_1852",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_1852",
      "to_node": "node_1853",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_1853",
      "to_node": "node_1854",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.350)",
      "action_type": null,
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    {
      "from_node": "node_1854",
      "to_node": "node_1855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_1857",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.274)",
      "action_type": null,
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    {
      "from_node": "node_1857",
      "to_node": "node_1858",
      "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_1858",
      "to_node": "node_1859",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005041)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1859",
      "to_node": "node_1860",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003125)",
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    {
      "from_node": "node_1860",
      "to_node": "node_1861",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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    {
      "from_node": "node_1861",
      "to_node": "node_1862",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_1864",
      "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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      "to_node": "node_1865",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.235)",
      "action_type": null,
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      "to_node": "node_1866",
      "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_1867",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.395)",
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      "target_member": null,
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      "scale_factor": null
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      "from_node": "node_1867",
      "to_node": "node_1868",
      "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_1868",
      "to_node": "node_1869",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "target_member": null,
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    {
      "from_node": "node_1869",
      "to_node": "node_1870",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1871",
      "to_node": "node_1872",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
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      "scale_factor": null
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    {
      "from_node": "node_1872",
      "to_node": "node_1873",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003113)",
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      "to_node": "node_1874",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.200)",
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      "to_node": "node_1875",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.466)",
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      "scale_factor": null
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      "to_node": "node_1876",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.408)",
      "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_1877",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "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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    {
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      "to_node": "node_1879",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.486)",
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      "to_node": "node_1880",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002955)",
      "action_type": null,
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    {
      "from_node": "node_1880",
      "to_node": "node_1881",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001785)",
      "action_type": null,
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    {
      "from_node": "node_1881",
      "to_node": "node_1882",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
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    {
      "from_node": "node_1882",
      "to_node": "node_1883",
      "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_1883",
      "to_node": "node_1884",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.560)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_1884",
      "to_node": "node_1885",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_1887",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1887",
      "to_node": "node_1888",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003374)",
      "action_type": null,
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    {
      "from_node": "node_1888",
      "to_node": "node_1889",
      "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_1889",
      "to_node": "node_1890",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1891",
      "to_node": "node_1892",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.302)",
      "action_type": null,
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    {
      "from_node": "node_1892",
      "to_node": "node_1893",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.295)",
      "action_type": null,
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      "parameter_name": null,
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    },
    {
      "from_node": "node_1893",
      "to_node": "node_1894",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1894",
      "to_node": "node_1895",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
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    {
      "from_node": "node_1895",
      "to_node": "node_1896",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.284)",
      "action_type": null,
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    {
      "from_node": "node_1896",
      "to_node": "node_1897",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1898",
      "to_node": "node_1899",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001404)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1899",
      "to_node": "node_1900",
      "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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    {
      "from_node": "node_1900",
      "to_node": "node_1901",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1901",
      "to_node": "node_1902",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1902",
      "to_node": "node_1903",
      "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_1904",
      "to_node": "node_1905",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002587)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1905",
      "to_node": "node_1906",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001892)",
      "action_type": null,
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    {
      "from_node": "node_1906",
      "to_node": "node_1907",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1907",
      "to_node": "node_1908",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001943)",
      "action_type": null,
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    {
      "from_node": "node_1908",
      "to_node": "node_1909",
      "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
    },
    {
      "from_node": "node_1909",
      "to_node": "node_1910",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.309)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1910",
      "to_node": "node_1911",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_1911",
      "to_node": "node_1912",
      "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_1913",
      "to_node": "node_1914",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_1914",
      "to_node": "node_1915",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.451)",
      "action_type": null,
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    {
      "from_node": "node_1915",
      "to_node": "node_1916",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.183)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1916",
      "to_node": "node_1917",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1918",
      "to_node": "node_1919",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002912)",
      "action_type": null,
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    {
      "from_node": "node_1919",
      "to_node": "node_1920",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    {
      "from_node": "node_1920",
      "to_node": "node_1921",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1921",
      "to_node": "node_1922",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1922",
      "to_node": "node_1923",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.269)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_1923",
      "to_node": "node_1924",
      "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_1925",
      "to_node": "node_1926",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003627)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1927",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.224)",
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    {
      "from_node": "node_1927",
      "to_node": "node_1928",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_1928",
      "to_node": "node_1929",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": null,
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    {
      "from_node": "node_1929",
      "to_node": "node_1930",
      "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_1932",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.580)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.300)",
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    {
      "from_node": "node_1933",
      "to_node": "node_1934",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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      "target_member": null,
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    {
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      "to_node": "node_1935",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_1936",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_1937",
      "to_node": "node_1938",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
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    {
      "from_node": "node_1938",
      "to_node": "node_1939",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_1939",
      "to_node": "node_1940",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_1940",
      "to_node": "node_1941",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1941",
      "to_node": "node_1942",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1944",
      "to_node": "node_1945",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1945",
      "to_node": "node_1946",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1946",
      "to_node": "node_1947",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003813)",
      "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 12 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.198)",
      "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 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "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": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1952",
      "to_node": "node_1953",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002345)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1953",
      "to_node": "node_1954",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1954",
      "to_node": "node_1955",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "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 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1956",
      "to_node": "node_1957",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1958",
      "to_node": "node_1959",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.202)",
      "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": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1960",
      "to_node": "node_1961",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.361)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1961",
      "to_node": "node_1962",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1962",
      "to_node": "node_1963",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "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": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1965",
      "to_node": "node_1966",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002130)",
      "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": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002913)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1967",
      "to_node": "node_1968",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003162)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1968",
      "to_node": "node_1969",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.412)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1969",
      "to_node": "node_1970",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.587)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1970",
      "to_node": "node_1971",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1971",
      "to_node": "node_1972",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1972",
      "to_node": "node_1973",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1974",
      "to_node": "node_1975",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001561)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1975",
      "to_node": "node_1976",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1976",
      "to_node": "node_1977",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.529)",
      "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 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_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 17 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.189)",
      "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": "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_1982",
      "to_node": "node_1983",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1983",
      "to_node": "node_1984",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1984",
      "to_node": "node_1985",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1985",
      "to_node": "node_1986",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "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": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1987",
      "to_node": "node_1988",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003744)",
      "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 5 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.580)",
      "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": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1992",
      "to_node": "node_1993",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1993",
      "to_node": "node_1994",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003635)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1994",
      "to_node": "node_1995",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002510)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1995",
      "to_node": "node_1996",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 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_1996",
      "to_node": "node_1997",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1998",
      "to_node": "node_1999",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_1999",
      "to_node": "node_2000",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002223)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
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    },
    {
      "from_node": "node_2000",
      "to_node": "node_2001",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.348)",
      "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": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.418)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2002",
      "to_node": "node_2003",
      "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_2003",
      "to_node": "node_2004",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002943)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2006",
      "to_node": "node_2007",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.326)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2007",
      "to_node": "node_2008",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2008",
      "to_node": "node_2009",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2009",
      "to_node": "node_2010",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "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 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_2012",
      "to_node": "node_2013",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.466)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2013",
      "to_node": "node_2014",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002895)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2014",
      "to_node": "node_2015",
      "edge_type": "modification",
      "reasoning": "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_2015",
      "to_node": "node_2016",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002334)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2016",
      "to_node": "node_2017",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2017",
      "to_node": "node_2018",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2019",
      "to_node": "node_2020",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.294)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2020",
      "to_node": "node_2021",
      "edge_type": "modification",
      "reasoning": "Increase 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,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2021",
      "to_node": "node_2022",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2022",
      "to_node": "node_2023",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2023",
      "to_node": "node_2024",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2024",
      "to_node": "node_2025",
      "edge_type": "modification",
      "reasoning": "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_2026",
      "to_node": "node_2027",
      "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_2027",
      "to_node": "node_2028",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.570)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2028",
      "to_node": "node_2029",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2029",
      "to_node": "node_2030",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.577)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2030",
      "to_node": "node_2031",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2031",
      "to_node": "node_2032",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2032",
      "to_node": "node_2033",
      "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_2034",
      "to_node": "node_2035",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.264)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2035",
      "to_node": "node_2036",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2036",
      "to_node": "node_2037",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2037",
      "to_node": "node_2038",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2038",
      "to_node": "node_2039",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2040",
      "to_node": "node_2041",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2041",
      "to_node": "node_2042",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2042",
      "to_node": "node_2043",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.420)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2043",
      "to_node": "node_2044",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2044",
      "to_node": "node_2045",
      "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_2046",
      "to_node": "node_2047",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2047",
      "to_node": "node_2048",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.139)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2048",
      "to_node": "node_2049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003764)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2049",
      "to_node": "node_2050",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2050",
      "to_node": "node_2051",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2051",
      "to_node": "node_2052",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2053",
      "to_node": "node_2054",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2054",
      "to_node": "node_2055",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2055",
      "to_node": "node_2056",
      "edge_type": "modification",
      "reasoning": "Increase 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_2056",
      "to_node": "node_2057",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2057",
      "to_node": "node_2058",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2058",
      "to_node": "node_2059",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2060",
      "to_node": "node_2061",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
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      "reasoning": "Add member connecting joints 6 and 7",
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      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "to_node": "node_2063",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.550)",
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      "to_node": "node_2064",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.458)",
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      "from_node": "node_2064",
      "to_node": "node_2065",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.209)",
      "action_type": null,
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    {
      "from_node": "node_2065",
      "to_node": "node_2066",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.580)",
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    {
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      "to_node": "node_2067",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.217)",
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    {
      "from_node": "node_2067",
      "to_node": "node_2068",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2069",
      "to_node": "node_2070",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002256)",
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    {
      "from_node": "node_2070",
      "to_node": "node_2071",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002202)",
      "action_type": null,
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    {
      "from_node": "node_2071",
      "to_node": "node_2072",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.152)",
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    {
      "from_node": "node_2072",
      "to_node": "node_2073",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003416)",
      "action_type": null,
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    {
      "from_node": "node_2073",
      "to_node": "node_2074",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.178)",
      "action_type": null,
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    {
      "from_node": "node_2074",
      "to_node": "node_2075",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2076",
      "to_node": "node_2077",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002467)",
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    {
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      "to_node": "node_2078",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
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      "to_node": "node_2079",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.401)",
      "action_type": null,
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      "to_node": "node_2080",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.626)",
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    {
      "from_node": "node_2080",
      "to_node": "node_2081",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003850)",
      "action_type": null,
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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, 1.242)",
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    {
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      "to_node": "node_2083",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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    {
      "from_node": "node_2083",
      "to_node": "node_2084",
      "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 1 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.647)",
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    {
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      "to_node": "node_2087",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.174)",
      "action_type": null,
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    {
      "from_node": "node_2087",
      "to_node": "node_2088",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
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    {
      "from_node": "node_2088",
      "to_node": "node_2089",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_2089",
      "to_node": "node_2090",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
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      "to_node": "node_2091",
      "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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    {
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      "to_node": "node_2092",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2094",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_2094",
      "to_node": "node_2095",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
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      "to_node": "node_2096",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.412)",
      "action_type": null,
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    {
      "from_node": "node_2096",
      "to_node": "node_2097",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_2097",
      "to_node": "node_2098",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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      "target_member": null,
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    {
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      "to_node": "node_2099",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2100",
      "to_node": "node_2101",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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    {
      "from_node": "node_2101",
      "to_node": "node_2102",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002438)",
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    {
      "from_node": "node_2102",
      "to_node": "node_2103",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
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    {
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      "to_node": "node_2104",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.414)",
      "action_type": null,
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    {
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      "to_node": "node_2105",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.131)",
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    {
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      "to_node": "node_2106",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
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    {
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      "to_node": "node_2107",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.125)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2108",
      "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_2110",
      "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
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    {
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      "to_node": "node_2111",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.555)",
      "action_type": null,
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    {
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      "to_node": "node_2112",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.295)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2112",
      "to_node": "node_2113",
      "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_2115",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.209)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2116",
      "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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    {
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      "to_node": "node_2117",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.522)",
      "action_type": null,
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      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2117",
      "to_node": "node_2118",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2118",
      "to_node": "node_2119",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.120)",
      "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_2119",
      "to_node": "node_2120",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
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      "from_node": "node_2120",
      "to_node": "node_2121",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2123",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.294)",
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      "from_node": "node_2123",
      "to_node": "node_2124",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002387)",
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      "to_node": "node_2125",
      "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_2125",
      "to_node": "node_2126",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2127",
      "to_node": "node_2128",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.266)",
      "action_type": null,
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      "from_node": "node_2128",
      "to_node": "node_2129",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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      "from_node": "node_2129",
      "to_node": "node_2130",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.189)",
      "action_type": null,
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      "from_node": "node_2130",
      "to_node": "node_2131",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.318)",
      "action_type": null,
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      "to_node": "node_2132",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.416)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2132",
      "to_node": "node_2133",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2133",
      "to_node": "node_2134",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2135",
      "to_node": "node_2136",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.653)",
      "action_type": null,
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    {
      "from_node": "node_2136",
      "to_node": "node_2137",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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    {
      "from_node": "node_2137",
      "to_node": "node_2138",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.359)",
      "action_type": null,
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    {
      "from_node": "node_2138",
      "to_node": "node_2139",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2140",
      "to_node": "node_2141",
      "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_2141",
      "to_node": "node_2142",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.202)",
      "action_type": null,
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    {
      "from_node": "node_2142",
      "to_node": "node_2143",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
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    {
      "from_node": "node_2143",
      "to_node": "node_2144",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
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    {
      "from_node": "node_2144",
      "to_node": "node_2145",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2146",
      "to_node": "node_2147",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.605)",
      "action_type": null,
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    {
      "from_node": "node_2147",
      "to_node": "node_2148",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.116)",
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    {
      "from_node": "node_2148",
      "to_node": "node_2149",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.229)",
      "action_type": null,
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    {
      "from_node": "node_2149",
      "to_node": "node_2150",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
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    {
      "from_node": "node_2150",
      "to_node": "node_2151",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2152",
      "to_node": "node_2153",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.209)",
      "action_type": null,
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.241)",
      "action_type": null,
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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, 1.206)",
      "action_type": null,
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    {
      "from_node": "node_2155",
      "to_node": "node_2156",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.462)",
      "action_type": null,
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    {
      "from_node": "node_2156",
      "to_node": "node_2157",
      "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_2159",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.182)",
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    {
      "from_node": "node_2159",
      "to_node": "node_2160",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.385)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.299)",
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    {
      "from_node": "node_2161",
      "to_node": "node_2162",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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    {
      "from_node": "node_2162",
      "to_node": "node_2163",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
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    {
      "from_node": "node_2163",
      "to_node": "node_2164",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2166",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.497)",
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    {
      "from_node": "node_2166",
      "to_node": "node_2167",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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    {
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      "to_node": "node_2168",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
      "from_node": "node_2168",
      "to_node": "node_2169",
      "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_2171",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002317)",
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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, 1.282)",
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      "to_node": "node_2173",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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    {
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      "to_node": "node_2174",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2176",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002386)",
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      "to_node": "node_2178",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.372)",
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    {
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      "to_node": "node_2179",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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      "to_node": "node_2180",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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    {
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      "to_node": "node_2181",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "to_node": "node_2182",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2184",
      "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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      "to_node": "node_2185",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002748)",
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      "to_node": "node_2186",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.580)",
      "action_type": null,
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    {
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      "to_node": "node_2187",
      "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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    {
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      "to_node": "node_2188",
      "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_2188",
      "to_node": "node_2189",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2191",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.391)",
      "action_type": null,
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      "from_node": "node_2191",
      "to_node": "node_2192",
      "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_2192",
      "to_node": "node_2193",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
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    {
      "from_node": "node_2193",
      "to_node": "node_2194",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.114)",
      "action_type": null,
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    {
      "from_node": "node_2194",
      "to_node": "node_2195",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005071)",
      "action_type": null,
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    {
      "from_node": "node_2195",
      "to_node": "node_2196",
      "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_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": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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    {
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      "to_node": "node_2200",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.245)",
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    {
      "from_node": "node_2200",
      "to_node": "node_2201",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.311)",
      "action_type": null,
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    {
      "from_node": "node_2202",
      "to_node": "node_2203",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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      "target_member": null,
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    {
      "from_node": "node_2203",
      "to_node": "node_2204",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2206",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.445)",
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    {
      "from_node": "node_2206",
      "to_node": "node_2207",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_2207",
      "to_node": "node_2208",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
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    {
      "from_node": "node_2208",
      "to_node": "node_2209",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_2209",
      "to_node": "node_2210",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
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    {
      "from_node": "node_2210",
      "to_node": "node_2211",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2212",
      "to_node": "node_2213",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003369)",
      "action_type": null,
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    {
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      "to_node": "node_2214",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.637)",
      "action_type": null,
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    {
      "from_node": "node_2214",
      "to_node": "node_2215",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002034)",
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      "from_node": "node_2215",
      "to_node": "node_2216",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.637)",
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    {
      "from_node": "node_2216",
      "to_node": "node_2217",
      "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_2217",
      "to_node": "node_2218",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.323)",
      "action_type": null,
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    {
      "from_node": "node_2218",
      "to_node": "node_2219",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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    {
      "from_node": "node_2219",
      "to_node": "node_2220",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2221",
      "to_node": "node_2222",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
      "action_type": null,
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    },
    {
      "from_node": "node_2222",
      "to_node": "node_2223",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002362)",
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    {
      "from_node": "node_2223",
      "to_node": "node_2224",
      "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_2224",
      "to_node": "node_2225",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003839)",
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    {
      "from_node": "node_2225",
      "to_node": "node_2226",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003949)",
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    {
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      "to_node": "node_2227",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.217)",
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    {
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      "to_node": "node_2228",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2228",
      "to_node": "node_2229",
      "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_2231",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2231",
      "to_node": "node_2232",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004293)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2233",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
      "from_node": "node_2233",
      "to_node": "node_2234",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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    {
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      "to_node": "node_2235",
      "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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      "parameter_name": null,
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    {
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      "to_node": "node_2236",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.368)",
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      "scale_factor": null
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    {
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      "to_node": "node_2237",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2237",
      "to_node": "node_2238",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2240",
      "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
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    {
      "from_node": "node_2240",
      "to_node": "node_2241",
      "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_2241",
      "to_node": "node_2242",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
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    {
      "from_node": "node_2242",
      "to_node": "node_2243",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.610)",
      "action_type": null,
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    {
      "from_node": "node_2243",
      "to_node": "node_2244",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.256)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2244",
      "to_node": "node_2245",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": null,
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    },
    {
      "from_node": "node_2245",
      "to_node": "node_2246",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.271)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2246",
      "to_node": "node_2247",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2248",
      "to_node": "node_2249",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.333)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2249",
      "to_node": "node_2250",
      "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
    },
    {
      "from_node": "node_2250",
      "to_node": "node_2251",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.493)",
      "action_type": null,
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    {
      "from_node": "node_2251",
      "to_node": "node_2252",
      "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_2252",
      "to_node": "node_2253",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.565)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2253",
      "to_node": "node_2254",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2254",
      "to_node": "node_2255",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2256",
      "to_node": "node_2257",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.236)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2257",
      "to_node": "node_2258",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2258",
      "to_node": "node_2259",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.443)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2259",
      "to_node": "node_2260",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.637)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2260",
      "to_node": "node_2261",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.376)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2261",
      "to_node": "node_2262",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.182)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2262",
      "to_node": "node_2263",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2264",
      "to_node": "node_2265",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002010)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2265",
      "to_node": "node_2266",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
      "action_type": null,
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    },
    {
      "from_node": "node_2266",
      "to_node": "node_2267",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
      "action_type": null,
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    },
    {
      "from_node": "node_2267",
      "to_node": "node_2268",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.527)",
      "action_type": null,
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    },
    {
      "from_node": "node_2268",
      "to_node": "node_2269",
      "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_2269",
      "to_node": "node_2270",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003072)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2270",
      "to_node": "node_2271",
      "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_2271",
      "to_node": "node_2272",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2273",
      "to_node": "node_2274",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
      "action_type": null,
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    {
      "from_node": "node_2274",
      "to_node": "node_2275",
      "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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    {
      "from_node": "node_2275",
      "to_node": "node_2276",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.435)",
      "action_type": null,
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    },
    {
      "from_node": "node_2276",
      "to_node": "node_2277",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_2277",
      "to_node": "node_2278",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2278",
      "to_node": "node_2279",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2280",
      "to_node": "node_2281",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.003837)",
      "action_type": null,
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    {
      "from_node": "node_2281",
      "to_node": "node_2282",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.140)",
      "action_type": null,
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    {
      "from_node": "node_2282",
      "to_node": "node_2283",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2283",
      "to_node": "node_2284",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002297)",
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      "target_member": null,
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    {
      "from_node": "node_2284",
      "to_node": "node_2285",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003918)",
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      "target_member": null,
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    {
      "from_node": "node_2285",
      "to_node": "node_2286",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.166)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2286",
      "to_node": "node_2287",
      "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_2289",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.359)",
      "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_2290",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.546)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
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      "to_node": "node_2291",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.242)",
      "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_2291",
      "to_node": "node_2292",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2292",
      "to_node": "node_2293",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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      "target_member": null,
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    {
      "from_node": "node_2293",
      "to_node": "node_2294",
      "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_2295",
      "to_node": "node_2296",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.002309)",
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      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_2296",
      "to_node": "node_2297",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.000983)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2298",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.218)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2298",
      "to_node": "node_2299",
      "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,
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      "new_value": null,
      "scale_factor": null
    },
    {
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      "to_node": "node_2300",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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      "to_node": "node_2301",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.493)",
      "action_type": null,
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    {
      "from_node": "node_2301",
      "to_node": "node_2302",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2303",
      "to_node": "node_2304",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003251)",
      "action_type": null,
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    {
      "from_node": "node_2304",
      "to_node": "node_2305",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002488)",
      "action_type": null,
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    {
      "from_node": "node_2305",
      "to_node": "node_2306",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
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    {
      "from_node": "node_2306",
      "to_node": "node_2307",
      "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_2307",
      "to_node": "node_2308",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
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    {
      "from_node": "node_2308",
      "to_node": "node_2309",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2310",
      "to_node": "node_2311",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.647)",
      "action_type": null,
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      "from_node": "node_2311",
      "to_node": "node_2312",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.562)",
      "action_type": null,
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    {
      "from_node": "node_2312",
      "to_node": "node_2313",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002562)",
      "action_type": null,
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    {
      "from_node": "node_2313",
      "to_node": "node_2314",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.267)",
      "action_type": null,
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    {
      "from_node": "node_2314",
      "to_node": "node_2315",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001950)",
      "action_type": null,
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    {
      "from_node": "node_2315",
      "to_node": "node_2316",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.372)",
      "action_type": null,
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    {
      "from_node": "node_2316",
      "to_node": "node_2317",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
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    {
      "from_node": "node_2317",
      "to_node": "node_2318",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2319",
      "to_node": "node_2320",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.203)",
      "action_type": null,
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    },
    {
      "from_node": "node_2320",
      "to_node": "node_2321",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002792)",
      "action_type": null,
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    {
      "from_node": "node_2321",
      "to_node": "node_2322",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.546)",
      "action_type": null,
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    {
      "from_node": "node_2322",
      "to_node": "node_2323",
      "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_2323",
      "to_node": "node_2324",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
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    {
      "from_node": "node_2324",
      "to_node": "node_2325",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.546)",
      "action_type": null,
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    {
      "from_node": "node_2325",
      "to_node": "node_2326",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.471)",
      "action_type": null,
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    },
    {
      "from_node": "node_2326",
      "to_node": "node_2327",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2328",
      "to_node": "node_2329",
      "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_2329",
      "to_node": "node_2330",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.639)",
      "action_type": null,
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    {
      "from_node": "node_2330",
      "to_node": "node_2331",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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    },
    {
      "from_node": "node_2331",
      "to_node": "node_2332",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2333",
      "to_node": "node_2334",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002557)",
      "action_type": null,
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    {
      "from_node": "node_2334",
      "to_node": "node_2335",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003334)",
      "action_type": null,
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    {
      "from_node": "node_2335",
      "to_node": "node_2336",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002108)",
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    {
      "from_node": "node_2336",
      "to_node": "node_2337",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.656)",
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    {
      "from_node": "node_2337",
      "to_node": "node_2338",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002342)",
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    {
      "from_node": "node_2338",
      "to_node": "node_2339",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "scale_factor": null
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    {
      "from_node": "node_2339",
      "to_node": "node_2340",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2341",
      "to_node": "node_2342",
      "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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    {
      "from_node": "node_2342",
      "to_node": "node_2343",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.274)",
      "action_type": null,
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    {
      "from_node": "node_2343",
      "to_node": "node_2344",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2344",
      "to_node": "node_2345",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_2345",
      "to_node": "node_2346",
      "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_2348",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.189)",
      "action_type": null,
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    {
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      "to_node": "node_2349",
      "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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      "scale_factor": null
    },
    {
      "from_node": "node_2349",
      "to_node": "node_2350",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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      "target_member": null,
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    {
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      "to_node": "node_2351",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.319)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2351",
      "to_node": "node_2352",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2353",
      "to_node": "node_2354",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2355",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.504)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
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      "to_node": "node_2356",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.639)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2357",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.425)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2357",
      "to_node": "node_2358",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2358",
      "to_node": "node_2359",
      "edge_type": "modification",
      "reasoning": "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_2360",
      "to_node": "node_2361",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.200)",
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      "to_node": "node_2362",
      "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_2362",
      "to_node": "node_2363",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003264)",
      "action_type": null,
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    {
      "from_node": "node_2363",
      "to_node": "node_2364",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.263)",
      "action_type": null,
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    {
      "from_node": "node_2364",
      "to_node": "node_2365",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2365",
      "to_node": "node_2366",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2367",
      "to_node": "node_2368",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001857)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2368",
      "to_node": "node_2369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001912)",
      "action_type": null,
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    {
      "from_node": "node_2369",
      "to_node": "node_2370",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2370",
      "to_node": "node_2371",
      "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_2371",
      "to_node": "node_2372",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2372",
      "to_node": "node_2373",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_2373",
      "to_node": "node_2374",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2375",
      "to_node": "node_2376",
      "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_2376",
      "to_node": "node_2377",
      "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_2377",
      "to_node": "node_2378",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004070)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2378",
      "to_node": "node_2379",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.178)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2379",
      "to_node": "node_2380",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2380",
      "to_node": "node_2381",
      "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_2381",
      "to_node": "node_2382",
      "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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      "scale_factor": null
    },
    {
      "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 6 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.427)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2385",
      "to_node": "node_2386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2386",
      "to_node": "node_2387",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2387",
      "to_node": "node_2388",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2388",
      "to_node": "node_2389",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2389",
      "to_node": "node_2390",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.550)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2390",
      "to_node": "node_2391",
      "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_2392",
      "to_node": "node_2393",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.645)",
      "action_type": null,
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    },
    {
      "from_node": "node_2393",
      "to_node": "node_2394",
      "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_2394",
      "to_node": "node_2395",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.513)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2395",
      "to_node": "node_2396",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2396",
      "to_node": "node_2397",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
      "action_type": null,
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    },
    {
      "from_node": "node_2397",
      "to_node": "node_2398",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.613)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2398",
      "to_node": "node_2399",
      "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_2400",
      "to_node": "node_2401",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.221)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2401",
      "to_node": "node_2402",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2402",
      "to_node": "node_2403",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 50%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, 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_2403",
      "to_node": "node_2404",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2404",
      "to_node": "node_2405",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, 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_2405",
      "to_node": "node_2406",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "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_2406",
      "to_node": "node_2407",
      "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_2408",
      "to_node": "node_2409",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2409",
      "to_node": "node_2410",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.597)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2410",
      "to_node": "node_2411",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2411",
      "to_node": "node_2412",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2412",
      "to_node": "node_2413",
      "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_2414",
      "to_node": "node_2415",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.001891)",
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      "target_member": null,
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    {
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      "to_node": "node_2416",
      "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
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    {
      "from_node": "node_2416",
      "to_node": "node_2417",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2417",
      "to_node": "node_2418",
      "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_2418",
      "to_node": "node_2419",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2419",
      "to_node": "node_2420",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2422",
      "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_2422",
      "to_node": "node_2423",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.608)",
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      "to_node": "node_2424",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.297)",
      "action_type": null,
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    {
      "from_node": "node_2424",
      "to_node": "node_2425",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.431)",
      "action_type": null,
      "target_member": 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 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2426",
      "to_node": "node_2427",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": 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,
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    {
      "from_node": "node_2429",
      "to_node": "node_2430",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.312)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2430",
      "to_node": "node_2431",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002218)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2431",
      "to_node": "node_2432",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002156)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2432",
      "to_node": "node_2433",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.319)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2433",
      "to_node": "node_2434",
      "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_2434",
      "to_node": "node_2435",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.198)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_2435",
      "to_node": "node_2436",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2436",
      "to_node": "node_2437",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2438",
      "to_node": "node_2439",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2439",
      "to_node": "node_2440",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.473)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2440",
      "to_node": "node_2441",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003295)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2441",
      "to_node": "node_2442",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003620)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2442",
      "to_node": "node_2443",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002675)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2443",
      "to_node": "node_2444",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.111)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2444",
      "to_node": "node_2445",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2446",
      "to_node": "node_2447",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2447",
      "to_node": "node_2448",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2448",
      "to_node": "node_2449",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2449",
      "to_node": "node_2450",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2451",
      "to_node": "node_2452",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2452",
      "to_node": "node_2453",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2453",
      "to_node": "node_2454",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.629)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2454",
      "to_node": "node_2455",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2456",
      "to_node": "node_2457",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.362)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2457",
      "to_node": "node_2458",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2458",
      "to_node": "node_2459",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.585)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2459",
      "to_node": "node_2460",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2461",
      "to_node": "node_2462",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.001985)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2462",
      "to_node": "node_2463",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.206)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2463",
      "to_node": "node_2464",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2464",
      "to_node": "node_2465",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.295)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2465",
      "to_node": "node_2466",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.208)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2466",
      "to_node": "node_2467",
      "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_2468",
      "to_node": "node_2469",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.538)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2469",
      "to_node": "node_2470",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.484)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2470",
      "to_node": "node_2471",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005097)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2471",
      "to_node": "node_2472",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.445)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2472",
      "to_node": "node_2473",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.374)",
      "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_2473",
      "to_node": "node_2474",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.159)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_2474",
      "to_node": "node_2475",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2476",
      "to_node": "node_2477",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2477",
      "to_node": "node_2478",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2478",
      "to_node": "node_2479",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.634)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2479",
      "to_node": "node_2480",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2480",
      "to_node": "node_2481",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
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    {
      "from_node": "node_2481",
      "to_node": "node_2482",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2483",
      "to_node": "node_2484",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
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    {
      "from_node": "node_2484",
      "to_node": "node_2485",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2485",
      "to_node": "node_2486",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2486",
      "to_node": "node_2487",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2488",
      "to_node": "node_2489",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.377)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2489",
      "to_node": "node_2490",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.220)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2490",
      "to_node": "node_2491",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2491",
      "to_node": "node_2492",
      "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_2493",
      "to_node": "node_2494",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.263)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2494",
      "to_node": "node_2495",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2495",
      "to_node": "node_2496",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2496",
      "to_node": "node_2497",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2497",
      "to_node": "node_2498",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2499",
      "to_node": "node_2500",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.261)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2500",
      "to_node": "node_2501",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2501",
      "to_node": "node_2502",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.284)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2502",
      "to_node": "node_2503",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    },
    {
      "from_node": "node_2503",
      "to_node": "node_2504",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2505",
      "to_node": "node_2506",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.143)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2506",
      "to_node": "node_2507",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003197)",
      "action_type": null,
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    },
    {
      "from_node": "node_2507",
      "to_node": "node_2508",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.372)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2508",
      "to_node": "node_2509",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2509",
      "to_node": "node_2510",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2511",
      "to_node": "node_2512",
      "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_2512",
      "to_node": "node_2513",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002653)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2513",
      "to_node": "node_2514",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.277)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    },
    {
      "from_node": "node_2514",
      "to_node": "node_2515",
      "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,
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    },
    {
      "from_node": "node_2515",
      "to_node": "node_2516",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.647)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2516",
      "to_node": "node_2517",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2517",
      "to_node": "node_2518",
      "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_2519",
      "to_node": "node_2520",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.239)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2520",
      "to_node": "node_2521",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002254)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2521",
      "to_node": "node_2522",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2522",
      "to_node": "node_2523",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2523",
      "to_node": "node_2524",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2524",
      "to_node": "node_2525",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2526",
      "to_node": "node_2527",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002129)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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    },
    {
      "from_node": "node_2527",
      "to_node": "node_2528",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.590)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2528",
      "to_node": "node_2529",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001633)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2529",
      "to_node": "node_2530",
      "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_2530",
      "to_node": "node_2531",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003160)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2531",
      "to_node": "node_2532",
      "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_2532",
      "to_node": "node_2533",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2533",
      "to_node": "node_2534",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2535",
      "to_node": "node_2536",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.314)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2536",
      "to_node": "node_2537",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001446)",
      "action_type": null,
      "target_member": null,
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      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2537",
      "to_node": "node_2538",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.618)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2538",
      "to_node": "node_2539",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2539",
      "to_node": "node_2540",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2540",
      "to_node": "node_2541",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.161)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
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      "reasoning": "Increase 15 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.232)",
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      "reasoning": "Optimal solution",
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      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 26%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002198)",
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      "to_node": "node_2548",
      "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_2548",
      "to_node": "node_2549",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2551",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
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      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.397)",
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.458)",
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      "from_node": "node_2554",
      "to_node": "node_2555",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_2555",
      "to_node": "node_2556",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
      "from_node": "node_2556",
      "to_node": "node_2557",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.196)",
      "action_type": null,
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    {
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      "to_node": "node_2561",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.587)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.453)",
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      "to_node": "node_2563",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 55%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.553)",
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    {
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      "to_node": "node_2564",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2566",
      "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_2566",
      "to_node": "node_2567",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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    {
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      "to_node": "node_2568",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 35%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.346)",
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    {
      "from_node": "node_2568",
      "to_node": "node_2569",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
      "from_node": "node_2569",
      "to_node": "node_2570",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
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      "to_node": "node_2571",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
      "from_node": "node_2571",
      "to_node": "node_2572",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.460)",
      "action_type": null,
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    {
      "from_node": "node_2572",
      "to_node": "node_2573",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2574",
      "to_node": "node_2575",
      "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_2575",
      "to_node": "node_2576",
      "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_2576",
      "to_node": "node_2577",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.443)",
      "action_type": null,
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    {
      "from_node": "node_2577",
      "to_node": "node_2578",
      "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_2580",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.211)",
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    {
      "from_node": "node_2580",
      "to_node": "node_2581",
      "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_2581",
      "to_node": "node_2582",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.295)",
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    {
      "from_node": "node_2582",
      "to_node": "node_2583",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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    {
      "from_node": "node_2583",
      "to_node": "node_2584",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2585",
      "to_node": "node_2586",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003667)",
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    {
      "from_node": "node_2586",
      "to_node": "node_2587",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.447)",
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      "to_node": "node_2589",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.658)",
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    {
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      "to_node": "node_2590",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2591",
      "to_node": "node_2592",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003765)",
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    {
      "from_node": "node_2592",
      "to_node": "node_2593",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002555)",
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    {
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      "to_node": "node_2594",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002106)",
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      "to_node": "node_2595",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.626)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.661)",
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      "to_node": "node_2597",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.271)",
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    {
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      "to_node": "node_2598",
      "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_2600",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.196)",
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      "scale_factor": null
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    {
      "from_node": "node_2600",
      "to_node": "node_2601",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.200)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2601",
      "to_node": "node_2602",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.195)",
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      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.495)",
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      "from_node": "node_2604",
      "to_node": "node_2605",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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    {
      "from_node": "node_2605",
      "to_node": "node_2606",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_2608",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
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      "action_type": null,
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      "from_node": "node_2608",
      "to_node": "node_2609",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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      "from_node": "node_2609",
      "to_node": "node_2610",
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      "reasoning": "Increase 10 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.439)",
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      "to_node": "node_2611",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 35%",
      "metadata": null,
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      "to_node": "node_2612",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2613",
      "to_node": "node_2614",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001817)",
      "action_type": null,
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    {
      "from_node": "node_2614",
      "to_node": "node_2615",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003248)",
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      "from_node": "node_2615",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.342)",
      "action_type": null,
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      "from_node": "node_2616",
      "to_node": "node_2617",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
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      "from_node": "node_2617",
      "to_node": "node_2618",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003615)",
      "action_type": null,
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      "to_node": "node_2619",
      "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_2619",
      "to_node": "node_2620",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2621",
      "to_node": "node_2622",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002479)",
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      "from_node": "node_2622",
      "to_node": "node_2623",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.233)",
      "action_type": null,
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    {
      "from_node": "node_2623",
      "to_node": "node_2624",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
      "action_type": null,
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    {
      "from_node": "node_2624",
      "to_node": "node_2625",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.190)",
      "action_type": null,
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      "from_node": "node_2627",
      "to_node": "node_2628",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
      "from_node": "node_2628",
      "to_node": "node_2629",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
      "action_type": null,
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    {
      "from_node": "node_2629",
      "to_node": "node_2630",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
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    {
      "from_node": "node_2630",
      "to_node": "node_2631",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2632",
      "to_node": "node_2633",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002417)",
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    {
      "from_node": "node_2633",
      "to_node": "node_2634",
      "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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    {
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      "to_node": "node_2635",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.340)",
      "action_type": null,
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    {
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      "to_node": "node_2636",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.167)",
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      "to_node": "node_2637",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.362)",
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    {
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      "to_node": "node_2638",
      "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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    {
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      "to_node": "node_2639",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.572)",
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    {
      "from_node": "node_2639",
      "to_node": "node_2640",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2641",
      "to_node": "node_2642",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003445)",
      "action_type": null,
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    {
      "from_node": "node_2642",
      "to_node": "node_2643",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
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    {
      "from_node": "node_2643",
      "to_node": "node_2644",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003252)",
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    {
      "from_node": "node_2644",
      "to_node": "node_2645",
      "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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    {
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      "to_node": "node_2646",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.493)",
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    {
      "from_node": "node_2646",
      "to_node": "node_2647",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2648",
      "to_node": "node_2649",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
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    {
      "from_node": "node_2649",
      "to_node": "node_2650",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
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      "to_node": "node_2651",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2653",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.001782)",
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    {
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      "to_node": "node_2654",
      "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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      "to_node": "node_2655",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.447)",
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    {
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      "to_node": "node_2656",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003177)",
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    {
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      "to_node": "node_2657",
      "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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    {
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      "to_node": "node_2658",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2660",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.202)",
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      "from_node": "node_2660",
      "to_node": "node_2661",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004317)",
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    {
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      "to_node": "node_2662",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.224)",
      "action_type": null,
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    {
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      "to_node": "node_2663",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
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      "reasoning": "Add member connecting joints 1 and 6",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 26%",
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      "metadata": null,
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      "reasoning": "Add member connecting joints 2 and 6",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.351)",
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      "edge_type": "modification",
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      "reasoning": "Increase 5 thickness by 37%",
      "metadata": null,
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      "metadata": null,
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      "to_node": "node_2681",
      "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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      "reasoning": "Add member connecting joints 5 and 6",
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    {
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      "reasoning": "Add member connecting joints 0 and 6",
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001949)",
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    {
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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 32%",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(9, thickness, 1.183)",
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    {
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      "edge_type": "modification",
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    {
      "from_node": "node_2701",
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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(0, thickness, 1.282)",
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      "to_node": "node_2705",
      "edge_type": "modification",
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      "to_node": "node_2706",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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    {
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      "to_node": "node_2707",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_2709",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.127)",
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      "to_node": "node_2710",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004004)",
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      "to_node": "node_2711",
      "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_2712",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_2714",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.597)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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      "to_node": "node_2716",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.004439)",
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      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.221)",
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      "to_node": "node_2718",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.212)",
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      "to_node": "node_2719",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "to_node": "node_2721",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002223)",
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      "to_node": "node_2722",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.178)",
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    {
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      "to_node": "node_2723",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.148)",
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    {
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      "to_node": "node_2724",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.164)",
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      "from_node": "node_2724",
      "to_node": "node_2725",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2726",
      "to_node": "node_2727",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003167)",
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      "to_node": "node_2728",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.222)",
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      "from_node": "node_2728",
      "to_node": "node_2729",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.263)",
      "action_type": null,
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    {
      "from_node": "node_2729",
      "to_node": "node_2730",
      "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_2730",
      "to_node": "node_2731",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.215)",
      "action_type": null,
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    {
      "from_node": "node_2731",
      "to_node": "node_2732",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 65%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.650)",
      "action_type": null,
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    {
      "from_node": "node_2732",
      "to_node": "node_2733",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.565)",
      "action_type": null,
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    {
      "from_node": "node_2733",
      "to_node": "node_2734",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2735",
      "to_node": "node_2736",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003785)",
      "action_type": null,
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    {
      "from_node": "node_2736",
      "to_node": "node_2737",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.001787)",
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    {
      "from_node": "node_2737",
      "to_node": "node_2738",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.248)",
      "action_type": null,
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    {
      "from_node": "node_2738",
      "to_node": "node_2739",
      "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_2739",
      "to_node": "node_2740",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.172)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2740",
      "to_node": "node_2741",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.462)",
      "action_type": null,
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    {
      "from_node": "node_2741",
      "to_node": "node_2742",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2743",
      "to_node": "node_2744",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.195)",
      "action_type": null,
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    },
    {
      "from_node": "node_2744",
      "to_node": "node_2745",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
      "from_node": "node_2745",
      "to_node": "node_2746",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_2746",
      "to_node": "node_2747",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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    {
      "from_node": "node_2747",
      "to_node": "node_2748",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2749",
      "to_node": "node_2750",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001999)",
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    {
      "from_node": "node_2750",
      "to_node": "node_2751",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.205)",
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    {
      "from_node": "node_2751",
      "to_node": "node_2752",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.241)",
      "action_type": null,
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    {
      "from_node": "node_2752",
      "to_node": "node_2753",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_2755",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.227)",
      "action_type": null,
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    {
      "from_node": "node_2755",
      "to_node": "node_2756",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.453)",
      "action_type": null,
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    {
      "from_node": "node_2756",
      "to_node": "node_2757",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.311)",
      "action_type": null,
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    {
      "from_node": "node_2757",
      "to_node": "node_2758",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.276)",
      "action_type": null,
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    {
      "from_node": "node_2758",
      "to_node": "node_2759",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_2759",
      "to_node": "node_2760",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    },
    {
      "from_node": "node_2761",
      "to_node": "node_2762",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003139)",
      "action_type": null,
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    {
      "from_node": "node_2762",
      "to_node": "node_2763",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.623)",
      "action_type": null,
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    {
      "from_node": "node_2763",
      "to_node": "node_2764",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002975)",
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    {
      "from_node": "node_2764",
      "to_node": "node_2765",
      "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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    },
    {
      "from_node": "node_2765",
      "to_node": "node_2766",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.244)",
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      "scale_factor": null
    },
    {
      "from_node": "node_2766",
      "to_node": "node_2767",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
      "from_node": "node_2767",
      "to_node": "node_2768",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.200)",
      "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_2768",
      "to_node": "node_2769",
      "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_2770",
      "to_node": "node_2771",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.285)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2771",
      "to_node": "node_2772",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2772",
      "to_node": "node_2773",
      "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_2773",
      "to_node": "node_2774",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2775",
      "to_node": "node_2776",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.002494)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2776",
      "to_node": "node_2777",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002687)",
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    {
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      "to_node": "node_2778",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.157)",
      "action_type": null,
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      "to_node": "node_2779",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.608)",
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      "scale_factor": null
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    {
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      "to_node": "node_2780",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002883)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2781",
      "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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    {
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      "to_node": "node_2782",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2782",
      "to_node": "node_2783",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2784",
      "to_node": "node_2785",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002338)",
      "action_type": null,
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    {
      "from_node": "node_2785",
      "to_node": "node_2786",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.189)",
      "action_type": null,
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    {
      "from_node": "node_2786",
      "to_node": "node_2787",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.238)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2787",
      "to_node": "node_2788",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.002553)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2788",
      "to_node": "node_2789",
      "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,
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      "scale_factor": null
    },
    {
      "from_node": "node_2789",
      "to_node": "node_2790",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.316)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2790",
      "to_node": "node_2791",
      "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_2792",
      "to_node": "node_2793",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
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    },
    {
      "from_node": "node_2793",
      "to_node": "node_2794",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, 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_2794",
      "to_node": "node_2795",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2795",
      "to_node": "node_2796",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.403)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2796",
      "to_node": "node_2797",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2798",
      "to_node": "node_2799",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.289)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2799",
      "to_node": "node_2800",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2800",
      "to_node": "node_2801",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.527)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2801",
      "to_node": "node_2802",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2803",
      "to_node": "node_2804",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.279)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2804",
      "to_node": "node_2805",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002792)",
      "action_type": null,
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    },
    {
      "from_node": "node_2805",
      "to_node": "node_2806",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.138)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2806",
      "to_node": "node_2807",
      "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_2807",
      "to_node": "node_2808",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003174)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2808",
      "to_node": "node_2809",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.453)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2809",
      "to_node": "node_2810",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2810",
      "to_node": "node_2811",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2812",
      "to_node": "node_2813",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002951)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_2813",
      "to_node": "node_2814",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.517)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2814",
      "to_node": "node_2815",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2815",
      "to_node": "node_2816",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.203)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2816",
      "to_node": "node_2817",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.225)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2817",
      "to_node": "node_2818",
      "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_2819",
      "to_node": "node_2820",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2820",
      "to_node": "node_2821",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.404)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2821",
      "to_node": "node_2822",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2822",
      "to_node": "node_2823",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2823",
      "to_node": "node_2824",
      "edge_type": "modification",
      "reasoning": "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_2824",
      "to_node": "node_2825",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2825",
      "to_node": "node_2826",
      "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_2827",
      "to_node": "node_2828",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2828",
      "to_node": "node_2829",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.342)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2829",
      "to_node": "node_2830",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2830",
      "to_node": "node_2831",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2832",
      "to_node": "node_2833",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.001261)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_2833",
      "to_node": "node_2834",
      "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_2834",
      "to_node": "node_2835",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002064)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2835",
      "to_node": "node_2836",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.195)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2836",
      "to_node": "node_2837",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.529)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2837",
      "to_node": "node_2838",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.595)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2838",
      "to_node": "node_2839",
      "edge_type": "modification",
      "reasoning": "Increase 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_2839",
      "to_node": "node_2840",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2841",
      "to_node": "node_2842",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.656)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2842",
      "to_node": "node_2843",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.397)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2843",
      "to_node": "node_2844",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.189)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2844",
      "to_node": "node_2845",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 47%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.466)",
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    {
      "from_node": "node_2845",
      "to_node": "node_2846",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2847",
      "to_node": "node_2848",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_2848",
      "to_node": "node_2849",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.404)",
      "action_type": null,
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    {
      "from_node": "node_2849",
      "to_node": "node_2850",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2850",
      "to_node": "node_2851",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002401)",
      "action_type": null,
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    {
      "from_node": "node_2851",
      "to_node": "node_2852",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.290)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_2852",
      "to_node": "node_2853",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    },
    {
      "from_node": "node_2853",
      "to_node": "node_2854",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2854",
      "to_node": "node_2855",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_2856",
      "to_node": "node_2857",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.307)",
      "action_type": null,
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    {
      "from_node": "node_2857",
      "to_node": "node_2858",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.412)",
      "action_type": null,
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    {
      "from_node": "node_2858",
      "to_node": "node_2859",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.488)",
      "action_type": null,
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    {
      "from_node": "node_2859",
      "to_node": "node_2860",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.414)",
      "action_type": null,
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    {
      "from_node": "node_2860",
      "to_node": "node_2861",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.631)",
      "action_type": null,
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    {
      "from_node": "node_2861",
      "to_node": "node_2862",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2863",
      "to_node": "node_2864",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.196)",
      "action_type": null,
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    },
    {
      "from_node": "node_2864",
      "to_node": "node_2865",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002342)",
      "action_type": null,
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    {
      "from_node": "node_2865",
      "to_node": "node_2866",
      "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_2866",
      "to_node": "node_2867",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.179)",
      "action_type": null,
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    {
      "from_node": "node_2867",
      "to_node": "node_2868",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
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    {
      "from_node": "node_2868",
      "to_node": "node_2869",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2870",
      "to_node": "node_2871",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.326)",
      "action_type": null,
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    {
      "from_node": "node_2871",
      "to_node": "node_2872",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_2872",
      "to_node": "node_2873",
      "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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    {
      "from_node": "node_2873",
      "to_node": "node_2874",
      "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_2874",
      "to_node": "node_2875",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2875",
      "to_node": "node_2876",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2877",
      "to_node": "node_2878",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003374)",
      "action_type": null,
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    {
      "from_node": "node_2878",
      "to_node": "node_2879",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002370)",
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    {
      "from_node": "node_2879",
      "to_node": "node_2880",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
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    {
      "from_node": "node_2880",
      "to_node": "node_2881",
      "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_2883",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.264)",
      "action_type": null,
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    {
      "from_node": "node_2883",
      "to_node": "node_2884",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002302)",
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    {
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      "to_node": "node_2885",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 37%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.368)",
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      "target_member": null,
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    {
      "from_node": "node_2885",
      "to_node": "node_2886",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.253)",
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    {
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      "to_node": "node_2887",
      "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_2887",
      "to_node": "node_2888",
      "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_2888",
      "to_node": "node_2889",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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      "target_member": null,
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    {
      "from_node": "node_2889",
      "to_node": "node_2890",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2891",
      "to_node": "node_2892",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2893",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.245)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_2894",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.179)",
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    {
      "from_node": "node_2894",
      "to_node": "node_2895",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.451)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2895",
      "to_node": "node_2896",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_2896",
      "to_node": "node_2897",
      "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_2899",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2899",
      "to_node": "node_2900",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003541)",
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    {
      "from_node": "node_2900",
      "to_node": "node_2901",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
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    {
      "from_node": "node_2901",
      "to_node": "node_2902",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2902",
      "to_node": "node_2903",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
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    {
      "from_node": "node_2904",
      "to_node": "node_2905",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002582)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2905",
      "to_node": "node_2906",
      "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_2907",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003330)",
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      "from_node": "node_2907",
      "to_node": "node_2908",
      "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_2908",
      "to_node": "node_2909",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_2910",
      "to_node": "node_2911",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002751)",
      "action_type": null,
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    {
      "from_node": "node_2911",
      "to_node": "node_2912",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.258)",
      "action_type": null,
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    {
      "from_node": "node_2912",
      "to_node": "node_2913",
      "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_2913",
      "to_node": "node_2914",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_2914",
      "to_node": "node_2915",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2916",
      "to_node": "node_2917",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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    {
      "from_node": "node_2917",
      "to_node": "node_2918",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 48%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.481)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_2918",
      "to_node": "node_2919",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
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    {
      "from_node": "node_2919",
      "to_node": "node_2920",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2921",
      "to_node": "node_2922",
      "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,
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    {
      "from_node": "node_2922",
      "to_node": "node_2923",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.181)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2923",
      "to_node": "node_2924",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
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    {
      "from_node": "node_2924",
      "to_node": "node_2925",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
      "action_type": null,
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    {
      "from_node": "node_2925",
      "to_node": "node_2926",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
      "action_type": null,
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    {
      "from_node": "node_2926",
      "to_node": "node_2927",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2928",
      "to_node": "node_2929",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.230)",
      "action_type": null,
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    },
    {
      "from_node": "node_2929",
      "to_node": "node_2930",
      "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_2930",
      "to_node": "node_2931",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.425)",
      "action_type": null,
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    {
      "from_node": "node_2931",
      "to_node": "node_2932",
      "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_2932",
      "to_node": "node_2933",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
      "action_type": null,
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    {
      "from_node": "node_2933",
      "to_node": "node_2934",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2935",
      "to_node": "node_2936",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002581)",
      "action_type": null,
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    {
      "from_node": "node_2936",
      "to_node": "node_2937",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001991)",
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    {
      "from_node": "node_2937",
      "to_node": "node_2938",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.290)",
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    {
      "from_node": "node_2938",
      "to_node": "node_2939",
      "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_2939",
      "to_node": "node_2940",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_2941",
      "to_node": "node_2942",
      "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_2942",
      "to_node": "node_2943",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.155)",
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    {
      "from_node": "node_2943",
      "to_node": "node_2944",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_2944",
      "to_node": "node_2945",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.337)",
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    {
      "from_node": "node_2945",
      "to_node": "node_2946",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    },
    {
      "from_node": "node_2946",
      "to_node": "node_2947",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    },
    {
      "from_node": "node_2948",
      "to_node": "node_2949",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
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      "scale_factor": null
    },
    {
      "from_node": "node_2949",
      "to_node": "node_2950",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003692)",
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    {
      "from_node": "node_2950",
      "to_node": "node_2951",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.305)",
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      "scale_factor": null
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    {
      "from_node": "node_2951",
      "to_node": "node_2952",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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      "scale_factor": null
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    {
      "from_node": "node_2952",
      "to_node": "node_2953",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_2954",
      "to_node": "node_2955",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.115)",
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      "scale_factor": null
    },
    {
      "from_node": "node_2955",
      "to_node": "node_2956",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002359)",
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    {
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      "to_node": "node_2957",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.359)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_2958",
      "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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      "scale_factor": null
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    {
      "from_node": "node_2958",
      "to_node": "node_2959",
      "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_2961",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 41%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.410)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2961",
      "to_node": "node_2962",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_2962",
      "to_node": "node_2963",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
      "target_member": null,
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      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_2963",
      "to_node": "node_2964",
      "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_2965",
      "to_node": "node_2966",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003268)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_2966",
      "to_node": "node_2967",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.397)",
      "action_type": null,
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      "reasoning": "Add member connecting joints 1 and 7",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "metadata": null,
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      "reasoning": "Increase all_members thickness by 20%",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.447)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
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      "reasoning": "Increase all_members thickness by 19%",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 42%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.248)",
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      "reasoning": "Add member connecting joints 3 and 8",
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      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002363)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 26%",
      "metadata": null,
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      "reasoning": "Increase all_members thickness by 24%",
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      "reasoning": "Add member connecting joints 2 and 8",
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      "edge_type": "modification",
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      "to_node": "node_2995",
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      "reasoning": "Add member connecting joints 3 and 9",
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      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003693)",
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      "reasoning": "Add member connecting joints 1 and 5",
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      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003804)",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 20%",
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      "metadata": null,
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    {
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      "edge_type": "modification",
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      "edge_type": "modification",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
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      "reasoning": "Increase 12 thickness by 40%",
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      "grammar_action": "SCALE_PARAM(12, thickness, 1.404)",
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    {
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      "reasoning": "Increase 0 thickness by 33%",
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    {
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      "reasoning": "Increase all_members thickness by 33%",
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    {
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    {
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      "reasoning": "Add member connecting joints 3 and 9",
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      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.002939)",
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    {
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      "reasoning": "Increase all_members thickness by 22%",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "reasoning": "Increase 11 thickness by 20%",
      "metadata": null,
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
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    {
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      "to_node": "node_3020",
      "edge_type": "modification",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.468)",
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      "to_node": "node_3023",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.335)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.548)",
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      "to_node": "node_3025",
      "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_3026",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005314)",
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    {
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      "to_node": "node_3027",
      "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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      "to_node": "node_3029",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.282)",
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      "to_node": "node_3032",
      "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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      "to_node": "node_3033",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.001989)",
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    {
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      "to_node": "node_3034",
      "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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      "to_node": "node_3035",
      "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_3035",
      "to_node": "node_3036",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004784)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
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    {
      "from_node": "node_3037",
      "to_node": "node_3038",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.326)",
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      "from_node": "node_3040",
      "to_node": "node_3041",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.199)",
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      "from_node": "node_3041",
      "to_node": "node_3042",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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    {
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      "to_node": "node_3043",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.284)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.493)",
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      "reasoning": "Increase 9 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.314)",
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    {
      "from_node": "node_3045",
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      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.284)",
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    {
      "from_node": "node_3046",
      "to_node": "node_3047",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3048",
      "to_node": "node_3049",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.002805)",
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    {
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      "to_node": "node_3050",
      "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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    {
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      "to_node": "node_3051",
      "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_3052",
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      "reasoning": "Optimal solution",
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    {
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      "to_node": "node_3054",
      "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_3054",
      "to_node": "node_3055",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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    {
      "from_node": "node_3055",
      "to_node": "node_3056",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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    {
      "from_node": "node_3056",
      "to_node": "node_3057",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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    {
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3060",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.567)",
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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, 1.241)",
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      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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      "reasoning": "Increase 11 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.307)",
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      "to_node": "node_3064",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.464)",
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    {
      "from_node": "node_3064",
      "to_node": "node_3065",
      "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_3067",
      "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_3067",
      "to_node": "node_3068",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003155)",
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    {
      "from_node": "node_3068",
      "to_node": "node_3069",
      "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_3069",
      "to_node": "node_3070",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.517)",
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    {
      "from_node": "node_3070",
      "to_node": "node_3071",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3072",
      "to_node": "node_3073",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.572)",
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    {
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      "to_node": "node_3074",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.359)",
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    {
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      "to_node": "node_3075",
      "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_3076",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.437)",
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      "scale_factor": null
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    {
      "from_node": "node_3076",
      "to_node": "node_3077",
      "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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      "target_member": null,
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    {
      "from_node": "node_3077",
      "to_node": "node_3078",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.437)",
      "action_type": null,
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    {
      "from_node": "node_3078",
      "to_node": "node_3079",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
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      "to_node": "node_3081",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.206)",
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      "to_node": "node_3082",
      "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_3082",
      "to_node": "node_3083",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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    {
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      "to_node": "node_3084",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3086",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.590)",
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      "to_node": "node_3087",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 12%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.124)",
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      "to_node": "node_3088",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.258)",
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      "scale_factor": null
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      "reasoning": "Add member connecting joints 1 and 5",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003204)",
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      "to_node": "node_3118",
      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.321)",
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      "reasoning": "Add member connecting joints 1 and 7",
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      "edge_type": "modification",
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      "edge_type": "modification",
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      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 25%",
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      "grammar_action": "SCALE_PARAM(15, thickness, 1.253)",
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      "to_node": "node_3126",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
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      "to_node": "node_3129",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
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      "grammar_action": "SCALE_PARAM(15, thickness, 1.277)",
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      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.395)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.294)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.441)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.493)",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.264)",
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      "to_node": "node_3140",
      "edge_type": "modification",
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      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.002460)",
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      "to_node": "node_3141",
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      "edge_type": "modification",
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      "to_node": "node_3143",
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      "grammar_action": "SCALE_PARAM(16, thickness, 1.269)",
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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3147",
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      "to_node": "node_3148",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004870)",
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      "to_node": "node_3149",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.212)",
      "action_type": null,
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      "from_node": "node_3149",
      "to_node": "node_3150",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.435)",
      "action_type": null,
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    {
      "from_node": "node_3150",
      "to_node": "node_3151",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "from_node": "node_3152",
      "to_node": "node_3153",
      "edge_type": "modification",
      "reasoning": "Increase 19 thickness by 61%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(19, thickness, 1.610)",
      "action_type": null,
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    {
      "from_node": "node_3153",
      "to_node": "node_3154",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.323)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3154",
      "to_node": "node_3155",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002449)",
      "action_type": null,
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    },
    {
      "from_node": "node_3155",
      "to_node": "node_3156",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3156",
      "to_node": "node_3157",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3158",
      "to_node": "node_3159",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.209)",
      "action_type": null,
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    {
      "from_node": "node_3159",
      "to_node": "node_3160",
      "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_3160",
      "to_node": "node_3161",
      "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_3161",
      "to_node": "node_3162",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3163",
      "to_node": "node_3164",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
      "action_type": null,
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    {
      "from_node": "node_3164",
      "to_node": "node_3165",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.004432)",
      "action_type": null,
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    {
      "from_node": "node_3165",
      "to_node": "node_3166",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
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    {
      "from_node": "node_3166",
      "to_node": "node_3167",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3168",
      "to_node": "node_3169",
      "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_3169",
      "to_node": "node_3170",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002356)",
      "action_type": null,
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    {
      "from_node": "node_3170",
      "to_node": "node_3171",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.439)",
      "action_type": null,
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    {
      "from_node": "node_3171",
      "to_node": "node_3172",
      "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_3172",
      "to_node": "node_3173",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.229)",
      "action_type": null,
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    {
      "from_node": "node_3173",
      "to_node": "node_3174",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_3175",
      "to_node": "node_3176",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.003812)",
      "action_type": null,
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    },
    {
      "from_node": "node_3176",
      "to_node": "node_3177",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.002642)",
      "action_type": null,
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    {
      "from_node": "node_3177",
      "to_node": "node_3178",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.255)",
      "action_type": null,
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    {
      "from_node": "node_3178",
      "to_node": "node_3179",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.377)",
      "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 12 thickness by 49%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.495)",
      "action_type": null,
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    {
      "from_node": "node_3182",
      "to_node": "node_3183",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.002985)",
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    {
      "from_node": "node_3183",
      "to_node": "node_3184",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.227)",
      "action_type": null,
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    {
      "from_node": "node_3184",
      "to_node": "node_3185",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.429)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3185",
      "to_node": "node_3186",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.600)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3186",
      "to_node": "node_3187",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.393)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_3187",
      "to_node": "node_3188",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.337)",
      "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_3188",
      "to_node": "node_3189",
      "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_3190",
      "to_node": "node_3191",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002736)",
      "action_type": null,
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    },
    {
      "from_node": "node_3191",
      "to_node": "node_3192",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.133)",
      "action_type": null,
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    {
      "from_node": "node_3192",
      "to_node": "node_3193",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 64%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.645)",
      "action_type": null,
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    {
      "from_node": "node_3193",
      "to_node": "node_3194",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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    {
      "from_node": "node_3194",
      "to_node": "node_3195",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.332)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3195",
      "to_node": "node_3196",
      "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,
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    {
      "from_node": "node_3196",
      "to_node": "node_3197",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 39%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.385)",
      "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_3197",
      "to_node": "node_3198",
      "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_3199",
      "to_node": "node_3200",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002596)",
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      "target_member": null,
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    {
      "from_node": "node_3200",
      "to_node": "node_3201",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.284)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3201",
      "to_node": "node_3202",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.623)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3202",
      "to_node": "node_3203",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.003216)",
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      "target_member": null,
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    },
    {
      "from_node": "node_3203",
      "to_node": "node_3204",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.250)",
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    {
      "from_node": "node_3204",
      "to_node": "node_3205",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005907)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3205",
      "to_node": "node_3206",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 20%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.196)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3206",
      "to_node": "node_3207",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3209",
      "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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      "to_node": "node_3210",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.004972)",
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    {
      "from_node": "node_3210",
      "to_node": "node_3211",
      "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_3211",
      "to_node": "node_3212",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3213",
      "to_node": "node_3214",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 17%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.171)",
      "action_type": null,
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      "from_node": "node_3214",
      "to_node": "node_3215",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.245)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3215",
      "to_node": "node_3216",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(20, thickness, 1.529)",
      "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_3216",
      "to_node": "node_3217",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3218",
      "to_node": "node_3219",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.383)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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    {
      "from_node": "node_3219",
      "to_node": "node_3220",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3220",
      "to_node": "node_3221",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.272)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3221",
      "to_node": "node_3222",
      "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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    {
      "from_node": "node_3222",
      "to_node": "node_3223",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 46%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.460)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3223",
      "to_node": "node_3224",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
      "action_type": null,
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    {
      "from_node": "node_3224",
      "to_node": "node_3225",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.658)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3225",
      "to_node": "node_3226",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3227",
      "to_node": "node_3228",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 56%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.555)",
      "action_type": null,
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    },
    {
      "from_node": "node_3228",
      "to_node": "node_3229",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.002647)",
      "action_type": null,
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    },
    {
      "from_node": "node_3229",
      "to_node": "node_3230",
      "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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    {
      "from_node": "node_3230",
      "to_node": "node_3231",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.217)",
      "action_type": null,
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    {
      "from_node": "node_3231",
      "to_node": "node_3232",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002578)",
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    {
      "from_node": "node_3232",
      "to_node": "node_3233",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 15%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.153)",
      "action_type": null,
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    {
      "from_node": "node_3233",
      "to_node": "node_3234",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
      "action_type": null,
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    {
      "from_node": "node_3234",
      "to_node": "node_3235",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3236",
      "to_node": "node_3237",
      "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_3237",
      "to_node": "node_3238",
      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.361)",
      "action_type": null,
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    {
      "from_node": "node_3238",
      "to_node": "node_3239",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
      "action_type": null,
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    {
      "from_node": "node_3239",
      "to_node": "node_3240",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3241",
      "to_node": "node_3242",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
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    {
      "from_node": "node_3242",
      "to_node": "node_3243",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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    {
      "from_node": "node_3243",
      "to_node": "node_3244",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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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 14%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.142)",
      "action_type": null,
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    {
      "from_node": "node_3247",
      "to_node": "node_3248",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.513)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3248",
      "to_node": "node_3249",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3249",
      "to_node": "node_3250",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    },
    {
      "from_node": "node_3251",
      "to_node": "node_3252",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003541)",
      "action_type": null,
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    {
      "from_node": "node_3252",
      "to_node": "node_3253",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 8, A36_Steel, Pipe, 0.026632, 0.003713)",
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      "target_member": null,
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    {
      "from_node": "node_3253",
      "to_node": "node_3254",
      "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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      "scale_factor": null
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    {
      "from_node": "node_3254",
      "to_node": "node_3255",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
      "from_node": "node_3255",
      "to_node": "node_3256",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_3256",
      "to_node": "node_3257",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
      "from_node": "node_3257",
      "to_node": "node_3258",
      "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_3260",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 59%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.587)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3261",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.302)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3262",
      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 58%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.580)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3262",
      "to_node": "node_3263",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 9, A36_Steel, Pipe, 0.026595, 0.003568)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3263",
      "to_node": "node_3264",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003119)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3264",
      "to_node": "node_3265",
      "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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      "scale_factor": null
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    {
      "from_node": "node_3265",
      "to_node": "node_3266",
      "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_3267",
      "to_node": "node_3268",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.355)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
      "new_value": null,
      "scale_factor": null
    },
    {
      "from_node": "node_3268",
      "to_node": "node_3269",
      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.232)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "new_value": null,
      "scale_factor": null
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    {
      "from_node": "node_3269",
      "to_node": "node_3270",
      "edge_type": "modification",
      "reasoning": "Increase 20 thickness by 46%",
      "metadata": null,
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      "to_node": "node_3271",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_3272",
      "to_node": "node_3273",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005090)",
      "action_type": null,
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    {
      "from_node": "node_3273",
      "to_node": "node_3274",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 16%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.160)",
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    {
      "from_node": "node_3274",
      "to_node": "node_3275",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
      "action_type": null,
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    {
      "from_node": "node_3275",
      "to_node": "node_3276",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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      "from_node": "node_3277",
      "to_node": "node_3278",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.431)",
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    {
      "from_node": "node_3278",
      "to_node": "node_3279",
      "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_3279",
      "to_node": "node_3280",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.323)",
      "action_type": null,
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    {
      "from_node": "node_3280",
      "to_node": "node_3281",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 62%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.623)",
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    {
      "from_node": "node_3281",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
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      "edge_type": "modification",
      "reasoning": "Increase 8 thickness by 38%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.376)",
      "action_type": null,
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    {
      "from_node": "node_3283",
      "to_node": "node_3284",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3285",
      "to_node": "node_3286",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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    {
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      "to_node": "node_3287",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.004232)",
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    {
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      "to_node": "node_3288",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
      "action_type": null,
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    {
      "from_node": "node_3288",
      "to_node": "node_3289",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 54%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.538)",
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    {
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      "to_node": "node_3290",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.238)",
      "action_type": null,
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    {
      "from_node": "node_3290",
      "to_node": "node_3291",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3292",
      "to_node": "node_3293",
      "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_3294",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.318)",
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    {
      "from_node": "node_3294",
      "to_node": "node_3295",
      "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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    {
      "from_node": "node_3295",
      "to_node": "node_3296",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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    {
      "from_node": "node_3297",
      "to_node": "node_3298",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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    {
      "from_node": "node_3298",
      "to_node": "node_3299",
      "edge_type": "modification",
      "reasoning": "Increase 12 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(12, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_3299",
      "to_node": "node_3300",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
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    {
      "from_node": "node_3300",
      "to_node": "node_3301",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3302",
      "to_node": "node_3303",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.319)",
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    {
      "from_node": "node_3303",
      "to_node": "node_3304",
      "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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    {
      "from_node": "node_3304",
      "to_node": "node_3305",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002606)",
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      "target_member": null,
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    {
      "from_node": "node_3305",
      "to_node": "node_3306",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002620)",
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    {
      "from_node": "node_3306",
      "to_node": "node_3307",
      "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_3307",
      "to_node": "node_3308",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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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, A36_Steel, Pipe, 0.025394, 0.003547)",
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    {
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      "to_node": "node_3311",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.236)",
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    {
      "from_node": "node_3311",
      "to_node": "node_3312",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.193)",
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    {
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      "to_node": "node_3313",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 2 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(2, 6, A36_Steel, Pipe, 0.016059, 0.002676)",
      "action_type": null,
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    {
      "from_node": "node_3313",
      "to_node": "node_3314",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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    {
      "from_node": "node_3314",
      "to_node": "node_3315",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3316",
      "to_node": "node_3317",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.245)",
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    {
      "from_node": "node_3317",
      "to_node": "node_3318",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 13%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.130)",
      "action_type": null,
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    {
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      "to_node": "node_3319",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3320",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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      "to_node": "node_3322",
      "edge_type": "modification",
      "reasoning": "Increase 14 thickness by 26%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(14, thickness, 1.258)",
      "action_type": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3323",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.182)",
      "action_type": null,
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    {
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      "to_node": "node_3324",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.431)",
      "action_type": null,
      "target_member": null,
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    {
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      "to_node": "node_3325",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.235)",
      "action_type": null,
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    {
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      "to_node": "node_3326",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.280)",
      "action_type": null,
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      "scale_factor": null
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    {
      "from_node": "node_3326",
      "to_node": "node_3327",
      "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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    {
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      "to_node": "node_3329",
      "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,
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      "scale_factor": null
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    {
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      "to_node": "node_3330",
      "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,
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      "scale_factor": null
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    {
      "from_node": "node_3330",
      "to_node": "node_3331",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 42%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.420)",
      "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_3331",
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      "edge_type": "modification",
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      "reasoning": "Increase all_members thickness by 29%",
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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, 1.120)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 14%",
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      "reasoning": "Increase all_members thickness by 18%",
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      "reasoning": "Add member connecting joints 3 and 7",
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      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004003)",
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      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 19%",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 7 and 8",
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      "grammar_action": "ADD_MEMBER(7, 8, A36_Steel, Pipe, 0.024132, 0.004022)",
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      "reasoning": "Add member connecting joints 2 and 7",
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      "grammar_action": "ADD_MEMBER(2, 7, A36_Steel, Pipe, 0.021967, 0.003661)",
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      "reasoning": "Add member connecting joints 2 and 6",
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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_3362",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
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      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.003246)",
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      "metadata": null,
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.468)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
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      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.004566)",
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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_3369",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.004818)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.348)",
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      "edge_type": "modification",
      "reasoning": "Increase 7 thickness by 63%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(7, thickness, 1.629)",
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      "edge_type": "modification",
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      "to_node": "node_3374",
      "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_3375",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 5 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(5, 6, A36_Steel, Pipe, 0.018368, 0.003061)",
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    {
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      "to_node": "node_3376",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
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      "reasoning": "Increase 3 thickness by 63%",
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      "grammar_action": "SCALE_PARAM(3, thickness, 1.631)",
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    {
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      "to_node": "node_3378",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3380",
      "edge_type": "modification",
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      "to_node": "node_3381",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 27%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.269)",
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      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.543)",
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      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
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    {
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      "to_node": "node_3384",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3386",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 31%",
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      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.309)",
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      "to_node": "node_3387",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.211)",
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      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.570)",
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      "to_node": "node_3389",
      "edge_type": "modification",
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      "metadata": null,
      "grammar_action": "SCALE_PARAM(8, thickness, 1.502)",
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      "to_node": "node_3390",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.280)",
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    {
      "from_node": "node_3390",
      "to_node": "node_3391",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002529)",
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    {
      "from_node": "node_3391",
      "to_node": "node_3392",
      "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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      "edge_type": "modification",
      "reasoning": "Optimal solution",
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      "to_node": "node_3395",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 11%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.112)",
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      "to_node": "node_3396",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.232)",
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      "to_node": "node_3397",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.534)",
      "action_type": null,
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      "from_node": "node_3397",
      "to_node": "node_3398",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.001891)",
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      "to_node": "node_3399",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.232)",
      "action_type": null,
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    {
      "from_node": "node_3399",
      "to_node": "node_3400",
      "edge_type": "modification",
      "reasoning": "Increase 4 thickness by 57%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(4, thickness, 1.572)",
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    {
      "from_node": "node_3400",
      "to_node": "node_3401",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 28%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.284)",
      "action_type": null,
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    {
      "from_node": "node_3401",
      "to_node": "node_3402",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3403",
      "to_node": "node_3404",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.227)",
      "action_type": null,
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    {
      "from_node": "node_3404",
      "to_node": "node_3405",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.247)",
      "action_type": null,
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    {
      "from_node": "node_3405",
      "to_node": "node_3406",
      "edge_type": "modification",
      "reasoning": "Increase 18 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(18, thickness, 1.435)",
      "action_type": null,
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    {
      "from_node": "node_3406",
      "to_node": "node_3407",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 24%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.242)",
      "action_type": null,
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    {
      "from_node": "node_3407",
      "to_node": "node_3408",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 7, A36_Steel, Pipe, 0.028702, 0.004032)",
      "action_type": null,
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    {
      "from_node": "node_3408",
      "to_node": "node_3409",
      "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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    {
      "from_node": "node_3409",
      "to_node": "node_3410",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3411",
      "to_node": "node_3412",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.597)",
      "action_type": null,
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    {
      "from_node": "node_3412",
      "to_node": "node_3413",
      "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_3413",
      "to_node": "node_3414",
      "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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    {
      "from_node": "node_3414",
      "to_node": "node_3415",
      "edge_type": "modification",
      "reasoning": "Increase 9 thickness by 66%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(9, thickness, 1.656)",
      "action_type": null,
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    {
      "from_node": "node_3415",
      "to_node": "node_3416",
      "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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    {
      "from_node": "node_3416",
      "to_node": "node_3417",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 5",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.027394, 0.003696)",
      "action_type": null,
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    {
      "from_node": "node_3417",
      "to_node": "node_3418",
      "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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    {
      "from_node": "node_3418",
      "to_node": "node_3419",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3420",
      "to_node": "node_3421",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.285)",
      "action_type": null,
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    {
      "from_node": "node_3421",
      "to_node": "node_3422",
      "edge_type": "modification",
      "reasoning": "Increase 5 thickness by 45%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(5, thickness, 1.449)",
      "action_type": null,
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    {
      "from_node": "node_3422",
      "to_node": "node_3423",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002523)",
      "action_type": null,
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    {
      "from_node": "node_3423",
      "to_node": "node_3424",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 4 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(4, 8, A36_Steel, Pipe, 0.028906, 0.003744)",
      "action_type": null,
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    {
      "from_node": "node_3424",
      "to_node": "node_3425",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
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    {
      "from_node": "node_3425",
      "to_node": "node_3426",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
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    {
      "from_node": "node_3427",
      "to_node": "node_3428",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 8 and 9",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(8, 9, A36_Steel, Pipe, 0.017835, 0.002972)",
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    {
      "from_node": "node_3428",
      "to_node": "node_3429",
      "edge_type": "modification",
      "reasoning": "Increase 11 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(11, thickness, 1.186)",
      "action_type": null,
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    {
      "from_node": "node_3429",
      "to_node": "node_3430",
      "edge_type": "modification",
      "reasoning": "Increase 6 thickness by 43%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(6, thickness, 1.427)",
      "action_type": null,
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    {
      "from_node": "node_3430",
      "to_node": "node_3431",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.252)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3431",
      "to_node": "node_3432",
      "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_3434",
      "edge_type": "modification",
      "reasoning": "Increase 10 thickness by 34%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.337)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3434",
      "to_node": "node_3435",
      "edge_type": "modification",
      "reasoning": "Increase 13 thickness by 31%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(13, thickness, 1.307)",
      "action_type": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3435",
      "to_node": "node_3436",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003434)",
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      "target_member": null,
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    {
      "from_node": "node_3436",
      "to_node": "node_3437",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 23%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.233)",
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    {
      "from_node": "node_3437",
      "to_node": "node_3438",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002988)",
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      "target_member": null,
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    {
      "from_node": "node_3438",
      "to_node": "node_3439",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.003875)",
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      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3439",
      "to_node": "node_3440",
      "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_3441",
      "to_node": "node_3442",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 25%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.248)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3442",
      "to_node": "node_3443",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.524)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3444",
      "edge_type": "modification",
      "reasoning": "Increase 15 thickness by 52%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(15, thickness, 1.522)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
      "old_value": null,
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      "scale_factor": null
    },
    {
      "from_node": "node_3444",
      "to_node": "node_3445",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 0 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(0, 6, A36_Steel, Pipe, 0.035440, 0.005035)",
      "action_type": null,
      "target_member": null,
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      "scale_factor": null
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    {
      "from_node": "node_3445",
      "to_node": "node_3446",
      "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,
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    {
      "from_node": "node_3446",
      "to_node": "node_3447",
      "edge_type": "modification",
      "reasoning": "Increase 16 thickness by 51%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(16, thickness, 1.506)",
      "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_3447",
      "to_node": "node_3448",
      "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_3449",
      "to_node": "node_3450",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.001583)",
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      "target_member": null,
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      "scale_factor": null
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    {
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      "to_node": "node_3451",
      "edge_type": "modification",
      "reasoning": "Increase 17 thickness by 21%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(17, thickness, 1.212)",
      "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_3451",
      "to_node": "node_3452",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 33%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.328)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
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      "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",
      "reasoning": "Increase all_members thickness by 22%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.221)",
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    {
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      "reasoning": "Increase 10 thickness by 40%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(10, thickness, 1.397)",
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    {
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      "edge_type": "modification",
      "reasoning": "Increase 2 thickness by 44%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(2, thickness, 1.437)",
      "action_type": null,
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    {
      "from_node": "node_3456",
      "to_node": "node_3457",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3458",
      "to_node": "node_3459",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 7, A36_Steel, Pipe, 0.023249, 0.002590)",
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    {
      "from_node": "node_3459",
      "to_node": "node_3460",
      "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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      "scale_factor": null
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    {
      "from_node": "node_3460",
      "to_node": "node_3461",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 6 and 7",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(6, 7, A36_Steel, Pipe, 0.025394, 0.003194)",
      "action_type": null,
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    {
      "from_node": "node_3461",
      "to_node": "node_3462",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 32%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.325)",
      "action_type": null,
      "target_member": null,
      "parameter_name": null,
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      "scale_factor": null
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    {
      "from_node": "node_3462",
      "to_node": "node_3463",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3464",
      "to_node": "node_3465",
      "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_3465",
      "to_node": "node_3466",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 3 and 8",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(3, 8, A36_Steel, Pipe, 0.017929, 0.002322)",
      "action_type": null,
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    {
      "from_node": "node_3466",
      "to_node": "node_3467",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 29%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.287)",
      "action_type": null,
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    {
      "from_node": "node_3467",
      "to_node": "node_3468",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 60%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.597)",
      "action_type": null,
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    {
      "from_node": "node_3468",
      "to_node": "node_3469",
      "edge_type": "modification",
      "reasoning": "Increase 0 thickness by 36%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(0, thickness, 1.357)",
      "action_type": null,
      "target_member": null,
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    {
      "from_node": "node_3469",
      "to_node": "node_3470",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
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    {
      "from_node": "node_3471",
      "to_node": "node_3472",
      "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_3472",
      "to_node": "node_3473",
      "edge_type": "modification",
      "reasoning": "Add member connecting joints 1 and 6",
      "metadata": null,
      "grammar_action": "ADD_MEMBER(1, 6, A36_Steel, Pipe, 0.019476, 0.002112)",
      "action_type": null,
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    {
      "from_node": "node_3473",
      "to_node": "node_3474",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 30%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.299)",
      "action_type": null,
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    },
    {
      "from_node": "node_3474",
      "to_node": "node_3475",
      "edge_type": "modification",
      "reasoning": "Increase all_members thickness by 18%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(all_members, thickness, 1.183)",
      "action_type": null,
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    },
    {
      "from_node": "node_3475",
      "to_node": "node_3476",
      "edge_type": "modification",
      "reasoning": "Increase 1 thickness by 53%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(1, thickness, 1.531)",
      "action_type": null,
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    {
      "from_node": "node_3476",
      "to_node": "node_3477",
      "edge_type": "modification",
      "reasoning": "Increase 3 thickness by 19%",
      "metadata": null,
      "grammar_action": "SCALE_PARAM(3, thickness, 1.186)",
      "action_type": null,
      "target_member": null,
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    },
    {
      "from_node": "node_3477",
      "to_node": "node_3478",
      "edge_type": "modification",
      "reasoning": "Optimal solution",
      "metadata": null,
      "grammar_action": "OPTIMAL_STATE",
      "action_type": null,
      "target_member": null,
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}