{
  "trace_summary": {
    "theorem_name": "fail_unsat",
    "status": "failed",
    "n_steps": 1,
    "n_unique_goal_states": 1,
    "n_flexure_joints": 1
  },
  "spectral": {
    "n_states": 1,
    "eigenvalue_max": 1.0,
    "spectral_gap": 1.0,
    "laplacian_eigenvalue_max": 1.0,
    "rank_estimate": 1,
    "zero_rows": 0,
    "frobenius_norm": 1.0,
    "trace": 1,
    "density": 1.0
  },
  "feature_vector": [
    1,
    1,
    1.0,
    1.0,
    0,
    1,
    0.0,
    0.0,
    0.0,
    -0.0,
    0.0,
    1112
  ],
  "feature_names": [
    "n_steps",
    "n_unique_goal_states",
    "transition_density",
    "spectral_gap",
    "laplacian_zero_count",
    "rank_estimate",
    "avg_delta_goal_count",
    "avg_delta_hypothesis",
    "avg_delta_symbol",
    "tactic_family_entropy",
    "verified_ratio",
    "total_elapsed"
  ],
  "tactic_family_distribution": {
    "arithmetic": 1
  },
  "delta_stats": {
    "avg_goal_delta": 0.0,
    "avg_hypothesis_delta": 0.0,
    "avg_symbol_delta": 0.0,
    "max_delta_score": 0
  },
  "flexure_joints": [
    {
      "step": 0,
      "tactic": "omega",
      "tactic_family": "arithmetic",
      "delta_score": 0,
      "delta": {
        "symbol_delta": 0,
        "hypothesis_delta": 0,
        "goal_count_delta": 0
      },
      "result": "failure"
    }
  ]
}