{"abstract":"Linear schedule exceeds its configured rate ceiling.","category":"Learning rate schedules","checks":6,"contract":"Return min(ceiling, base+slope*step) with step clamped at zero.","contract_signature":"step, base, slope, ceiling","evaluation_group":"lr-schedule-linear-ceiling","failed_approach":"Applying the ceiling without clamping negative steps can return a rate below the initial value.","family":"w3-learning-rate-schedules-linear-ceiling","id":"FA-99121","implementations":{"attempt":{"sha256":"358eb8dc2a9091f6ac41845735de9dabbd4668101f5abd6236ede1c26715c7fe","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(step, base, slope, ceiling):\n    return min(ceiling,base+slope*step)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('initial',solve(0,2,1,6),2); check('rising',solve(2,2,1,6),4); check('at ceiling',solve(4,2,1,6),6); check('above ceiling',solve(8,2,1,6),6); check('negative step',solve(-2,2,1,6),2); check('flat',solve(9,5,0,5),5)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"8a75a343009369e1f8946c62bc36c7e758e394fa40889d347a9d6712741bdf00","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(step, base, slope, ceiling):\n    return base+slope*max(0,step)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('initial',solve(0,2,1,6),2); check('rising',solve(2,2,1,6),4); check('at ceiling',solve(4,2,1,6),6); check('above ceiling',solve(8,2,1,6),6); check('negative step',solve(-2,2,1,6),2); check('flat',solve(9,5,0,5),5)\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"These are toy scalar contracts with integer steps and finite parameters; they do not model framework defaults or optimizer state. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"w3-learning-rate-schedules-linear-ceiling","generated_at":"2026-09-30T16:48:20.799393+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"A deterministic scalar schedule makes step-to-rate mapping explicit for a small training loop.","root_cause":"The increasing ramp returns its raw value without enforcing the ceiling.","sha256":"57e905f298e755eba1c4b848c40613b3f73d8938481c53f1cbba44372b277486","title":"Linear schedule exceeds its configured rate ceiling · case 01","variant":1,"variant_policy":"The same explicitly authored fixtures repeat across all five numbered records; runtime N is unused. These records share one mechanism and must remain together in evaluation splits.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":26.285,"exit_code":1,"observations":[{"actual":2,"check":"initial","expected":2,"passed":true},{"actual":4,"check":"rising","expected":4,"passed":true},{"actual":6,"check":"at ceiling","expected":6,"passed":true},{"actual":6,"check":"above ceiling","expected":6,"passed":true},{"actual":0,"check":"negative step","expected":2,"passed":false},{"actual":5,"check":"flat","expected":5,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"initial\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"rising\", \"actual\": 4, \"expected\": 4, \"passed\": true}, {\"check\": \"at ceiling\", \"actual\": 6, \"expected\": 6, \"passed\": true}, {\"check\": \"above ceiling\", \"actual\": 6, \"expected\": 6, \"passed\": true}, {\"check\": \"negative step\", \"actual\": 0, \"expected\": 2, \"passed\": false}, {\"check\": \"flat\", \"actual\": 5, \"expected\": 5, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":29.233,"exit_code":1,"observations":[{"actual":2,"check":"initial","expected":2,"passed":true},{"actual":4,"check":"rising","expected":4,"passed":true},{"actual":6,"check":"at ceiling","expected":6,"passed":true},{"actual":10,"check":"above ceiling","expected":6,"passed":false},{"actual":2,"check":"negative step","expected":2,"passed":true},{"actual":5,"check":"flat","expected":5,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"initial\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"rising\", \"actual\": 4, \"expected\": 4, \"passed\": true}, {\"check\": \"at ceiling\", \"actual\": 6, \"expected\": 6, \"passed\": true}, {\"check\": \"above ceiling\", \"actual\": 10, \"expected\": 6, \"passed\": false}, {\"check\": \"negative step\", \"actual\": 2, \"expected\": 2, \"passed\": true}, {\"check\": \"flat\", \"actual\": 5, \"expected\": 5, \"passed\": true}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}