{
  "gate": 6,
  "phase": "Phase 6 - Coverage-routed adaptive depth (component 2; inference-time) [block-3]",
  "status": "PASS",
  "component": "lesion_routed_depth",
  "renamed_from": "coverage-routed depth -> LESION-routed depth",
  "coherence_check_verified": "Code-verified: routes on lesion-subspace MEMBERSHIP (route_topf(membership_score, f)), NOT the effective-rank coverage functional. So it does NOT inherit the 'rewards spanning' pathology; the 1.6x is real and correctly attributed to membership routing.",
  "modality": "LIDC-IDRI",
  "method": "Route tokens by block-3 density-A coverage at routing block L_route=3: top-f fraction continue through the remaining 9 blocks (full depth), the rest exit early. FLOP reduction = dense/routed under a per-token-linear (and attention-heavy) cost model. Small-lesion sensitivity = lesion-patch recall in the deep set. Compared to saliency (attention) routing.",
  "sensitivity_by_retention": {
    "coverage": {"0.1": 0.450, "0.25": 0.812, "0.4": 0.952, "0.5": 0.982, "0.6": 0.994, "0.75": 1.0},
    "saliency": {"0.1": 0.268, "0.25": 0.542, "0.4": 0.729, "0.5": 0.824, "0.6": 0.888, "0.75": 0.951}
  },
  "result": {
    "coverage_best_linear": {"f": 0.5, "flop_reduction": 1.6, "sensitivity": 0.982},
    "saliency_best_linear": null,
    "tol": 0.02, "threshold_flop_reduction": 1.5
  },
  "metrics": [
    {"name": "flop_reduction_at_equal_sensitivity", "value": 1.6, "test": "routed/dense linear cost",
     "threshold": 1.5, "threshold_status": "CALIBRATE", "passed": true,
     "detail": "Coverage routing: 1.6x FLOP reduction at 98.2% small-lesion sensitivity (within 2% of dense)."},
    {"name": "saliency_flop_reduction_at_equal_sensitivity", "value": null, "test": "routed/dense",
     "threshold": 1.5, "threshold_status": "comparator", "passed": false,
     "detail": "Saliency routing NEVER reaches equal (within-tol) sensitivity at any FLOP-saving f (max 0.951 @ f=0.75). Cannot match coverage routing's efficiency-accuracy frontier."}
  ],
  "decision_rule": "PASS iff coverage routing >= 1.5x FLOP reduction at equal (within tol) small-lesion sensitivity.",
  "decision": "PASS. Coverage-routed adaptive depth delivers 1.6x FLOP reduction while preserving 98.2% of small-lesion sensitivity, and DOMINATES saliency routing at every retention level (saliency cannot preserve lesions at any compute saving). This is the efficiency payoff of routing depth by lesion-subspace coverage rather than attention.",
  "artifacts": ["gate6_routed_depth_LIDC-IDRI.json"],
  "human_signoff": null
}