{ "trace_summary": { "theorem_name": "constructor_example", "status": "verified", "n_steps": 3, "n_unique_goal_states": 1, "n_flexure_joints": 3 }, "spectral": { "n_states": 1, "eigenvalue_max": 3.0, "spectral_gap": 3.0, "laplacian_eigenvalue_max": 3.0, "rank_estimate": 1, "zero_rows": 0, "frobenius_norm": 3.0, "trace": 3, "density": 3.0 }, "feature_vector": [ 3, 1, 3.0, 3.0, 0, 1, 0.0, 0.0, 0.0, 0.9183, 0.3333333333333333, 3311 ], "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": { "constructor": 1, "discharge": 2 }, "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": "constructor", "tactic_family": "constructor", "delta_score": 0, "delta": { "symbol_delta": 0, "hypothesis_delta": 0, "goal_count_delta": 0 }, "result": "failure" }, { "step": 1, "tactic": "\u00b7 exact hA", "tactic_family": "discharge", "delta_score": 0, "delta": { "symbol_delta": 0, "hypothesis_delta": 0, "goal_count_delta": 0 }, "result": "failure" }, { "step": 2, "tactic": "\u00b7 exact hB", "tactic_family": "discharge", "delta_score": 0, "delta": { "symbol_delta": 0, "hypothesis_delta": 0, "goal_count_delta": 0 }, "result": "success" } ] }