{"abstract":"The legs are added before squaring.","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. Right cone slant length squared. Exact operational definition: r*r+h*h","evaluation_group":"model-3fb0884fb2d2579a","failed_approach":"Subtracting squares treats height as the hypotenuse.","family":"xn-right-cone-slant-length-squared","id":"FA-5996","implementations":{"attempt":{"sha256":"c336cd19ca433cb1b58ca9d06df823de9bc492143d9551b7aed5dc824ec7e0ac","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, h):\n    return h*h-r*r\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4)', solve(*(3, 4)), 25)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 25)\ncheck('fixture 3: (2, 0)', solve(*(2, 0)), 4)\ncheck('fixture 4: (1, 1)', solve(*(1, 1)), 2)\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":"9fdc08ca0b5bc4eee00cc165d92a15907d35c74a0aac47bd6b8d51b8301b76fa","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, h):\n    return (r+h)**2\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4)', solve(*(3, 4)), 25)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 25)\ncheck('fixture 3: (2, 0)', solve(*(2, 0)), 4)\ncheck('fixture 4: (1, 1)', solve(*(1, 1)), 2)\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":"c591d099ac4d8e08c7c1fb1fbe299cac3a7f5d7660e4983917ddacb468f27da1","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, h):\n    return r*r+h*h\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: (3, 4)', solve(*(3, 4)), 25)\ncheck('fixture 2: (0, 5)', solve(*(0, 5)), 25)\ncheck('fixture 3: (2, 0)', solve(*(2, 0)), 4)\ncheck('fixture 4: (1, 1)', solve(*(1, 1)), 2)\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-right-cone-slant-length-squared","generated_at":"2026-09-29T14:37:56.203506+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 r*r+h*h","root_cause":"The legs are added before squaring.","sha256":"72610b84ce097c69c852bcf03a7854f1895e01373211cd73a078131789df41b7","title":"Right cone slant length squared · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":45.253,"exit_code":1,"observations":[{"actual":7,"check":"fixture 1: (3, 4)","expected":25,"passed":false},{"actual":25,"check":"fixture 2: (0, 5)","expected":25,"passed":true},{"actual":-4,"check":"fixture 3: (2, 0)","expected":4,"passed":false},{"actual":0,"check":"fixture 4: (1, 1)","expected":2,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4)\", \"actual\": 7, \"expected\": 25, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 25, \"expected\": 25, \"passed\": true}, {\"check\": \"fixture 3: (2, 0)\", \"actual\": -4, \"expected\": 4, \"passed\": false}, {\"check\": \"fixture 4: (1, 1)\", \"actual\": 0, \"expected\": 2, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.011,"exit_code":1,"observations":[{"actual":49,"check":"fixture 1: (3, 4)","expected":25,"passed":false},{"actual":25,"check":"fixture 2: (0, 5)","expected":25,"passed":true},{"actual":4,"check":"fixture 3: (2, 0)","expected":4,"passed":true},{"actual":4,"check":"fixture 4: (1, 1)","expected":2,"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4)\", \"actual\": 49, \"expected\": 25, \"passed\": false}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 25, \"expected\": 25, \"passed\": true}, {\"check\": \"fixture 3: (2, 0)\", \"actual\": 4, \"expected\": 4, \"passed\": true}, {\"check\": \"fixture 4: (1, 1)\", \"actual\": 4, \"expected\": 2, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.581,"exit_code":0,"observations":[{"actual":25,"check":"fixture 1: (3, 4)","expected":25,"passed":true},{"actual":25,"check":"fixture 2: (0, 5)","expected":25,"passed":true},{"actual":4,"check":"fixture 3: (2, 0)","expected":4,"passed":true},{"actual":2,"check":"fixture 4: (1, 1)","expected":2,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: (3, 4)\", \"actual\": 25, \"expected\": 25, \"passed\": true}, {\"check\": \"fixture 2: (0, 5)\", \"actual\": 25, \"expected\": 25, \"passed\": true}, {\"check\": \"fixture 3: (2, 0)\", \"actual\": 4, \"expected\": 4, \"passed\": true}, {\"check\": \"fixture 4: (1, 1)\", \"actual\": 2, \"expected\": 2, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}