{"abstract":"Radius is squared instead of cubed for volume.","category":"Solid geometry","checks":4,"contract":"Nonnegative integer dimensions; exact products and ordinary Python real division. Quantities named divided by pi or pi-squared deliberately omit that factor from the returned result. Sphere volume divided by pi. Exact operational definition: 4*r**3/3","evaluation_group":"model-7091517cd639fcd7","failed_approach":"The sphere coefficient loses its factor of four.","family":"xn-sphere-volume-divided-by-pi","id":"FA-5911","implementations":{"attempt":{"sha256":"888873edae1a9105090fb118262e844c2bce926fbc086d2628ac8851c3af8954","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r):\n    return r**3/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (0,)', solve(*(0,)), 0)\ncheck('fixture 2: (3,)', solve(*(3,)), 36)\ncheck('fixture 3: (6,)', solve(*(6,)), 288)\ncheck('fixture 4: (1,)', solve(*(1,)), 1.3333333333333333)\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":"a00638b8c7e4fa72a370d89cbff360d558d4071e7af3c2ccd8794805ffcf538a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r):\n    return 4*r*r/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (0,)', solve(*(0,)), 0)\ncheck('fixture 2: (3,)', solve(*(3,)), 36)\ncheck('fixture 3: (6,)', solve(*(6,)), 288)\ncheck('fixture 4: (1,)', solve(*(1,)), 1.3333333333333333)\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"},"fixed":{"sha256":"c67bd876330b74256c81ce947e4dc170ae55d781a4b1df2147a9f06a3a1640be","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nimport calendar\nimport statistics\nimport itertools\nfrom fractions import Fraction\nfrom datetime import date, datetime, timedelta, timezone\nfrom decimal import Decimal, ROUND_HALF_UP, ROUND_DOWN, ROUND_CEILING, ROUND_FLOOR\n\nN = 1\nobservations = []\ndef solve(r):\n    return 4*r**3/3\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (0,)', solve(*(0,)), 0)\ncheck('fixture 2: (3,)', solve(*(3,)), 36)\ncheck('fixture 3: (6,)', solve(*(6,)), 288)\ncheck('fixture 4: (1,)', solve(*(1,)), 1.3333333333333333)\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":" 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":"xn-sphere-volume-divided-by-pi","generated_at":"2026-09-29T14:37:55.338575+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Small exact fixtures expose this error without platform timing, external services, or probabilistic observations. Solid geometry results depend on the stated convention.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return 4*r**3/3","root_cause":"Radius is squared instead of cubed for volume.","sha256":"997dce11f5083bf07d1f86549be64275a40e3cbf44581743160ae803b20c9591","title":"Sphere volume divided by pi · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":47.011,"exit_code":1,"observations":[{"actual":0.0,"check":"fixture 1: (0,)","expected":0,"passed":true},{"actual":9.0,"check":"fixture 2: (3,)","expected":36,"passed":false},{"actual":72.0,"check":"fixture 3: (6,)","expected":288,"passed":false},{"actual":0.3333333333333333,"check":"fixture 4: (1,)","expected":1.3333333333333333,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (0,)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 2: (3,)\", \"actual\": 9.0, \"expected\": 36, \"passed\": false}, {\"check\": \"fixture 3: (6,)\", \"actual\": 72.0, \"expected\": 288, \"passed\": false}, {\"check\": \"fixture 4: (1,)\", \"actual\": 0.3333333333333333, \"expected\": 1.3333333333333333, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":51.139,"exit_code":1,"observations":[{"actual":0.0,"check":"fixture 1: (0,)","expected":0,"passed":true},{"actual":12.0,"check":"fixture 2: (3,)","expected":36,"passed":false},{"actual":48.0,"check":"fixture 3: (6,)","expected":288,"passed":false},{"actual":1.3333333333333333,"check":"fixture 4: (1,)","expected":1.3333333333333333,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (0,)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 2: (3,)\", \"actual\": 12.0, \"expected\": 36, \"passed\": false}, {\"check\": \"fixture 3: (6,)\", \"actual\": 48.0, \"expected\": 288, \"passed\": false}, {\"check\": \"fixture 4: (1,)\", \"actual\": 1.3333333333333333, \"expected\": 1.3333333333333333, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":49.616,"exit_code":0,"observations":[{"actual":0.0,"check":"fixture 1: (0,)","expected":0,"passed":true},{"actual":36.0,"check":"fixture 2: (3,)","expected":36,"passed":true},{"actual":288.0,"check":"fixture 3: (6,)","expected":288,"passed":true},{"actual":1.3333333333333333,"check":"fixture 4: (1,)","expected":1.3333333333333333,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (0,)\", \"actual\": 0.0, \"expected\": 0, \"passed\": true}, {\"check\": \"fixture 2: (3,)\", \"actual\": 36.0, \"expected\": 36, \"passed\": true}, {\"check\": \"fixture 3: (6,)\", \"actual\": 288.0, \"expected\": 288, \"passed\": true}, {\"check\": \"fixture 4: (1,)\", \"actual\": 1.3333333333333333, \"expected\": 1.3333333333333333, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}