{
  "spec_version": "v0.2.6-exp.1-final",
  "seeds": {
    "seed_data": 104729,
    "seed_model": 130363,
    "seed_decode": 155921
  },
  "timing_repeats": 3,
  "metric_definitions": {
    "e_ood_raw": "held-out shortcut-intervention MSE with X1 fixed; same raw observation as e_inv",
    "delta_e_ood_absolute": "e_ood_base_raw - e_ood_group_raw; unbounded below",
    "r_ood_relative_improvement": "delta_e_ood_absolute / (e_ood_base_raw + 1e-12); upper-bounded by 1",
    "predictive_ood_mse_raw": "held-out label prediction MSE; retained separately and never used in delta_e_ood",
    "e_inv": "alias of e_ood_group_raw; lower is better",
    "e_sens": "absolute error of dŷ/dX1 from the structural slope; lower is better",
    "c_train_ratio": "median group training wall time divided by No-K wall time",
    "c_infer_ratio": "forward-pass graph cost divided by No-K; identical architecture gives 1"
  },
  "headline_correct_k": {
    "e_ood_base_raw": 1.6329936981201172,
    "e_ood_group_correct_k_raw": 6.353416637239206e-08,
    "delta_e_ood_absolute": 1.6329936345859508,
    "r_ood_relative_improvement": 0.9999999610928282,
    "c_train_ratio": 1.8787562461649783,
    "c_infer_ratio": 1.0
  },
  "results": [
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      "lambda_reg": 0.0,
      "claim_meta": {
        "non_causal_indices": [],
        "is_active": false
      },
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      "ood_mse": 3.8300702571868896,
      "invariance_error": 1.6329936981201172,
      "sensitivity_error": 1.039240837097168,
      "feature_gradients": [
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      "evaluation_vector": {
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        "delta_e_ood_absolute": 0.0,
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        "c_train_ratio": 1.0,
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      "group": "Group 1 (Correct K)",
      "lambda_reg": 4.0,
      "claim_meta": {
        "non_causal_indices": [
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        ],
        "is_active": true
      },
      "wall_seconds": 0.046588458004407585,
      "ood_mse": 0.015115885995328426,
      "invariance_error": 6.353416637239206e-08,
      "sensitivity_error": 0.0008015632629394531,
      "feature_gradients": [
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      "evaluation_vector": {
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        "delta_e_ood_absolute": 1.6329936345859508,
        "r_ood_relative_improvement": 0.9999999610928282,
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        "c_infer_ratio": 1.0
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    },
    {
      "group": "Group 2 (Wrong K)",
      "lambda_reg": 4.0,
      "claim_meta": {
        "non_causal_indices": [
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        "is_active": true
      },
      "wall_seconds": 0.04202995804371312,
      "ood_mse": 14.20492172241211,
      "invariance_error": 5.775146484375,
      "sensitivity_error": 2.0115741724148393,
      "feature_gradients": [
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      "evaluation_vector": {
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        "delta_e_ood_absolute": -4.142152786254883,
        "r_ood_relative_improvement": -2.536539357757928,
        "e_inv": 5.775146484375,
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        "c_train_ratio": 1.6949272326894242,
        "c_infer_ratio": 1.0
      }
    },
    {
      "group": "Group 3 (Partial K)",
      "lambda_reg": 4.0,
      "claim_meta": {
        "non_causal_indices": [
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        "is_active": true
      },
      "wall_seconds": 0.04086691699922085,
      "ood_mse": 0.5393426418304443,
      "invariance_error": 0.2759785056114197,
      "sensitivity_error": 0.39242076873779297,
      "feature_gradients": [
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      "evaluation_vector": {
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        "delta_e_ood_absolute": 1.3570151925086975,
        "r_ood_relative_improvement": 0.8309984258175926,
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        "c_train_ratio": 1.6480256883910622,
        "c_infer_ratio": 1.0
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    },
    {
      "group": "Group 4 (Stale K)",
      "lambda_reg": 4.0,
      "claim_meta": {
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        ],
        "is_active": false
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        "delta_e_ood_absolute": 0.0,
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        "c_train_ratio": 1.003211008978343,
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    },
    {
      "group": "Group 5 (Stale K, fault-injected active)",
      "lambda_reg": 4.0,
      "claim_meta": {
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        "is_active": true
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        "delta_e_ood_absolute": -5.275840759277344,
        "r_ood_relative_improvement": -3.23077839513257,
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        "c_infer_ratio": 1.0
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    }
  ]
}