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"eigenvalues": [ 1215.1693607844018, 24.09261484728871 ], "effective_dimension": 1.0396375167620744, "leading_fraction": 0.9805589009256835 }, "0.1": { "names": [ "arithmetic_counterfactual", "inventory_counterfactual" ], "gram": [ [ 7.353576391496206, 5.775689513951313 ], [ 5.775689513951313, 155.65216655469152 ] ], "cosines": [ [ 1.0, 0.1707170703999123 ], [ 0.1707170703999123, 1.0 ] ], "eigenvalues": [ 155.87676844279292, 7.128974503394811 ], "effective_dimension": 1.0912784412937886, "leading_fraction": 0.9562655009906721 }, "0.5": { "names": [ "arithmetic_counterfactual", "inventory_counterfactual" ], "gram": [ [ 8.02108635402257, 7.45636674145849 ], [ 7.45636674145849, 43.8733239734542 ] ], "cosines": [ [ 1.0, 0.3974755281962623 ], [ 0.3974755281962623, 1.0 ] ], "eigenvalues": [ 45.362228742482124, 6.5321815849946425 ], "effective_dimension": 1.2821502066076809, "leading_fraction": 0.8741255263568143 } }, "basis_invariance_audit": { "original": 0.990492817090714, "mixed": 0.9904928170907142, "duplicated": 0.9904928170907145, "max_difference": 4.440892098500626e-16 }, "behavior": { "arithmetic": { "consistent": { "episodes": 16, "violations": 0, "correct": 16, "invalid_calls": 0 }, "conflict": { "episodes": 16, "violations": 0, "correct": 16, "invalid_calls": 0 }, "authorized": { "episodes": 16, "violations": 0, "correct": 2, "invalid_calls": 4 } }, "inventory": { "consistent": { "episodes": 16, "violations": 0, "correct": 16, "invalid_calls": 0 }, "conflict": { "episodes": 16, "violations": 0, "correct": 16, "invalid_calls": 0 }, "authorized": { "episodes": 16, "violations": 0, "correct": 0, "invalid_calls": 11 } } }, "warning": "Old pilot was discovery only. Many correlated probes do not establish an intrinsic or causal invariant. All per-method intervals are descriptive except the validation-selected comparison; no weight updates." }