{
  "n_samples": 24,
  "tier2_accuracy": {
    "proof_status": 0.7083
  },
  "results": {
    "proof_status_centroid": {
      "tier2_accuracy": 0.7083,
      "tier2_top2": 1.0,
      "tier1_accuracy": null,
      "majority_baseline": 0.8333,
      "tier2_beats_tier1": true,
      "improves_over_baseline": -0.15,
      "n_samples": 24,
      "distribution": {
        "verified": 20,
        "failed": 4
      }
    },
    "proof_status_knn_3": {
      "tier2_accuracy": 0.7083,
      "tier2_top2": 1.0,
      "tier1_accuracy": null,
      "majority_baseline": 0.8333,
      "tier2_beats_tier1": true,
      "improves_over_baseline": -0.15,
      "n_samples": 24,
      "distribution": {
        "verified": 20,
        "failed": 4
      }
    },
    "proof_method_label_centroid": {
      "tier2_accuracy": 0.2083,
      "tier2_top2": 0.25,
      "tier1_accuracy": 0.0952,
      "majority_baseline": 0.2083,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 0.0,
      "n_samples": 24,
      "distribution": {
        "apply": 2,
        "ring": 1,
        "cases": 2,
        "constructor": 1,
        "rfl": 2,
        "rewrite": 5,
        "omega": 5,
        "have": 1,
        "induction": 3,
        "simp": 1,
        "intro": 1
      }
    },
    "proof_method_label_knn_3": {
      "tier2_accuracy": 0.2083,
      "tier2_top2": 0.25,
      "tier1_accuracy": 0.0714,
      "majority_baseline": 0.2083,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 0.0,
      "n_samples": 24,
      "distribution": {
        "apply": 2,
        "ring": 1,
        "cases": 2,
        "constructor": 1,
        "rfl": 2,
        "rewrite": 5,
        "omega": 5,
        "have": 1,
        "induction": 3,
        "simp": 1,
        "intro": 1
      }
    },
    "domain_label_centroid": {
      "tier2_accuracy": 0.625,
      "tier2_top2": 0.75,
      "tier1_accuracy": 0.1905,
      "majority_baseline": 0.3333,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 0.875,
      "n_samples": 24,
      "distribution": {
        "logic": 7,
        "algebra": 2,
        "type_error": 2,
        "arithmetic": 8,
        "order": 3,
        "equality": 2
      }
    },
    "domain_label_knn_3": {
      "tier2_accuracy": 0.625,
      "tier2_top2": 0.75,
      "tier1_accuracy": 0.3095,
      "majority_baseline": 0.3333,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 0.875,
      "n_samples": 24,
      "distribution": {
        "logic": 7,
        "algebra": 2,
        "type_error": 2,
        "arithmetic": 8,
        "order": 3,
        "equality": 2
      }
    },
    "manual_rrc_shape_centroid": {
      "tier2_accuracy": 0.6667,
      "tier2_top2": 0.9167,
      "tier1_accuracy": 0.381,
      "majority_baseline": 0.2917,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 1.286,
      "n_samples": 24,
      "distribution": {
        "LogogramProjection": 7,
        "SignalShapedRouteCompiler": 4,
        "HoldForUnlawfulOrUnderspecifiedShape": 5,
        "ProjectableGeometryTopology": 3,
        "CognitiveLoadField": 1,
        "CadForceProbeReceipt": 4
      }
    },
    "manual_rrc_shape_knn_3": {
      "tier2_accuracy": 0.6667,
      "tier2_top2": 0.9167,
      "tier1_accuracy": 0.3333,
      "majority_baseline": 0.2917,
      "tier2_beats_tier1": true,
      "improves_over_baseline": 1.286,
      "n_samples": 24,
      "distribution": {
        "LogogramProjection": 7,
        "SignalShapedRouteCompiler": 4,
        "HoldForUnlawfulOrUnderspecifiedShape": 5,
        "ProjectableGeometryTopology": 3,
        "CognitiveLoadField": 1,
        "CadForceProbeReceipt": 4
      }
    }
  },
  "conclusion": {
    "tier2_wins": 8,
    "total_comparable": 6
  }
}