{"abstract":"Elementwise addition replaces multiplication.","category":"Linear algebra","checks":4,"contract":"Integer matrix/vector entries, rectangular rows, compatible multiplication dimensions, and square matrices for determinant, trace, inverse, symmetry and characteristic-polynomial operations. Rational matrix outputs are reduced Fraction strings. Vector hadamard product. Exact operational definition: [x*y for x,y in zip(a,b)]","evaluation_group":"model-e36cd7f850a945b5","failed_approach":"A scalar dot product is broadcast into every coordinate.","family":"xn-vector-hadamard-product","id":"FA-6006","implementations":{"attempt":{"sha256":"b05db5dc300aa6547e6945b188140088067d3c48c58b886c479c6699b8efbffd","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(a, b):\n    return [sum(x*y for x,y in zip(a,b))]*len(a)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([1, 2], [3, 4])', solve(*([1, 2], [3, 4])), [3, 8])\ncheck('fixture 2: ([1, -1], [1, 1])', solve(*([1, -1], [1, 1])), [1, -1])\ncheck('fixture 3: ([], [])', solve(*([], [])), [])\ncheck('fixture 4: ([0, 2], [5, 0])', solve(*([0, 2], [5, 0])), [0, 0])\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":"a9ba5b634cca2ae0d4ecf9b756197fbc868cccb7ab3c7b955d63354b23bf5efb","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(a, b):\n    return [x+y for x,y in zip(a,b)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([1, 2], [3, 4])', solve(*([1, 2], [3, 4])), [3, 8])\ncheck('fixture 2: ([1, -1], [1, 1])', solve(*([1, -1], [1, 1])), [1, -1])\ncheck('fixture 3: ([], [])', solve(*([], [])), [])\ncheck('fixture 4: ([0, 2], [5, 0])', solve(*([0, 2], [5, 0])), [0, 0])\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":"94a773640f634d8156364128114b6ca290024f4e82f24b8d240eb3ce21b42e0e","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(a, b):\n    return [x*y for x,y in zip(a,b)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('fixture 1: ([1, 2], [3, 4])', solve(*([1, 2], [3, 4])), [3, 8])\ncheck('fixture 2: ([1, -1], [1, 1])', solve(*([1, -1], [1, 1])), [1, -1])\ncheck('fixture 3: ([], [])', solve(*([], [])), [])\ncheck('fixture 4: ([0, 2], [5, 0])', solve(*([0, 2], [5, 0])), [0, 0])\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-vector-hadamard-product","generated_at":"2026-09-29T14:37:56.252322+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. Linear algebra results depend on the stated convention.","repair":"Apply the specified mathematical contract directly, preserving all terms and boundary cases: return [x*y for x,y in zip(a,b)]","root_cause":"Elementwise addition replaces multiplication.","sha256":"92e7b34cb5322dfba210ddcfd97c70876c9022bd8987ff16a08f4f787213262c","title":"Vector hadamard product · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.745,"exit_code":1,"observations":[{"actual":[11,11],"check":"fixture 1: ([1, 2], [3, 4])","expected":[3,8],"passed":false},{"actual":[0,0],"check":"fixture 2: ([1, -1], [1, 1])","expected":[1,-1],"passed":false},{"actual":[],"check":"fixture 3: ([], [])","expected":[],"passed":true},{"actual":[0,0],"check":"fixture 4: ([0, 2], [5, 0])","expected":[0,0],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([1, 2], [3, 4])\", \"actual\": [11, 11], \"expected\": [3, 8], \"passed\": false}, {\"check\": \"fixture 2: ([1, -1], [1, 1])\", \"actual\": [0, 0], \"expected\": [1, -1], \"passed\": false}, {\"check\": \"fixture 3: ([], [])\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"fixture 4: ([0, 2], [5, 0])\", \"actual\": [0, 0], \"expected\": [0, 0], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":48.451,"exit_code":1,"observations":[{"actual":[4,6],"check":"fixture 1: ([1, 2], [3, 4])","expected":[3,8],"passed":false},{"actual":[2,0],"check":"fixture 2: ([1, -1], [1, 1])","expected":[1,-1],"passed":false},{"actual":[],"check":"fixture 3: ([], [])","expected":[],"passed":true},{"actual":[5,2],"check":"fixture 4: ([0, 2], [5, 0])","expected":[0,0],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([1, 2], [3, 4])\", \"actual\": [4, 6], \"expected\": [3, 8], \"passed\": false}, {\"check\": \"fixture 2: ([1, -1], [1, 1])\", \"actual\": [2, 0], \"expected\": [1, -1], \"passed\": false}, {\"check\": \"fixture 3: ([], [])\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"fixture 4: ([0, 2], [5, 0])\", \"actual\": [5, 2], \"expected\": [0, 0], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":46.305,"exit_code":0,"observations":[{"actual":[3,8],"check":"fixture 1: ([1, 2], [3, 4])","expected":[3,8],"passed":true},{"actual":[1,-1],"check":"fixture 2: ([1, -1], [1, 1])","expected":[1,-1],"passed":true},{"actual":[],"check":"fixture 3: ([], [])","expected":[],"passed":true},{"actual":[0,0],"check":"fixture 4: ([0, 2], [5, 0])","expected":[0,0],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"fixture 1: ([1, 2], [3, 4])\", \"actual\": [3, 8], \"expected\": [3, 8], \"passed\": true}, {\"check\": \"fixture 2: ([1, -1], [1, 1])\", \"actual\": [1, -1], \"expected\": [1, -1], \"passed\": true}, {\"check\": \"fixture 3: ([], [])\", \"actual\": [], \"expected\": [], \"passed\": true}, {\"check\": \"fixture 4: ([0, 2], [5, 0])\", \"actual\": [0, 0], \"expected\": [0, 0], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}