{"abstract":"The reduction disagrees with its explicit aggregation oracle.","category":"Numerical aggregation","checks":8,"contract":"Each row holds two integer values or None. Include a row only when both values are observed; zero is observed. Return [paired count, x sum, y sum, cross-product sum, squared-distance sum]. No imputation and no marginal-only contributions.","evaluation_group":"s3-na-jointly-observed-pair-summary","failed_approach":"Counting observed x values admits rows whose y value is missing.","family":"s3-numerical-aggregation-jointly-observed-pair-summary-pair-count-marginal","id":"FA-14161","implementations":{"attempt":{"sha256":"7c020cecd3a9c2c55b9d3b58662659fb5d5ca617d263827ab2ede8569a93ca9e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nfrom collections import Counter, defaultdict\nimport math\nimport itertools\nN = 1\nobservations = []\ndef solve(rows):\n    pairs=[(x,y) for x,y in rows if x is not None and y is not None]\n    return [sum(x is not None for x,y in rows),sum(x for x,y in pairs),sum(y for x,y in pairs),sum(x*y for x,y in pairs),sum((x-y)**2 for x,y in pairs)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('regression 1', solve(*([(1, 2), (None, 9), (3, None), (0, 4)],)), [2, 1, 6, 2, 17])\ncheck('regression 2', solve(*([],)), [0, 0, 0, 0, 0])\ncheck('regression 3', solve(*([(None, None)],)), [0, 0, 0, 0, 0])\ncheck('regression 4', solve(*([(-2, 3), (4, -1), (0, 0)],)), [3, 2, 2, -10, 50])\ncheck('regression 5', solve(*([(3, 3), (3, 3), (None, 4)],)), [2, 6, 6, 18, 0])\ncheck('regression 6', solve(*([(0, 2), (2, 0)],)), [2, 2, 2, 0, 8])\ncheck('regression 7', solve(*([(5, None), (None, 6)],)), [0, 0, 0, 0, 0])\ncheck(\"variable complete pair\",solve([(N,2*N),(None,N),(0,N)]),[2,N,3*N,2*N*N,2*N*N])\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":"0435ebe1bb93a4816d42f5062b2df2cdb4dbd64df4a783191e950aa54192610e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nfrom collections import Counter, defaultdict\nimport math\nimport itertools\nN = 1\nobservations = []\ndef solve(rows):\n    pairs=[(x,y) for x,y in rows if x is not None and y is not None]\n    return [len(rows),sum(x for x,y in pairs),sum(y for x,y in pairs),sum(x*y for x,y in pairs),sum((x-y)**2 for x,y in pairs)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('regression 1', solve(*([(1, 2), (None, 9), (3, None), (0, 4)],)), [2, 1, 6, 2, 17])\ncheck('regression 2', solve(*([],)), [0, 0, 0, 0, 0])\ncheck('regression 3', solve(*([(None, None)],)), [0, 0, 0, 0, 0])\ncheck('regression 4', solve(*([(-2, 3), (4, -1), (0, 0)],)), [3, 2, 2, -10, 50])\ncheck('regression 5', solve(*([(3, 3), (3, 3), (None, 4)],)), [2, 6, 6, 18, 0])\ncheck('regression 6', solve(*([(0, 2), (2, 0)],)), [2, 2, 2, 0, 8])\ncheck('regression 7', solve(*([(5, None), (None, 6)],)), [0, 0, 0, 0, 0])\ncheck(\"variable complete pair\",solve([(N,2*N),(None,N),(0,N)]),[2,N,3*N,2*N*N,2*N*N])\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":"60c442955b5ed4ca674217effef5b7c2d93fe8155f1f2af49686d10e0ebe6143","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nfrom fractions import Fraction\nfrom collections import Counter, defaultdict\nimport math\nimport itertools\nN = 1\nobservations = []\ndef solve(rows):\n    pairs=[(x,y) for x,y in rows if x is not None and y is not None]\n    return [len(pairs),sum(x for x,y in pairs),sum(y for x,y in pairs),sum(x*y for x,y in pairs),sum((x-y)**2 for x,y in pairs)]\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\ncheck('regression 1', solve(*([(1, 2), (None, 9), (3, None), (0, 4)],)), [2, 1, 6, 2, 17])\ncheck('regression 2', solve(*([],)), [0, 0, 0, 0, 0])\ncheck('regression 3', solve(*([(None, None)],)), [0, 0, 0, 0, 0])\ncheck('regression 4', solve(*([(-2, 3), (4, -1), (0, 0)],)), [3, 2, 2, -10, 50])\ncheck('regression 5', solve(*([(3, 3), (3, 3), (None, 4)],)), [2, 6, 6, 18, 0])\ncheck('regression 6', solve(*([(0, 2), (2, 0)],)), [2, 2, 2, 0, 8])\ncheck('regression 7', solve(*([(5, None), (None, 6)],)), [0, 0, 0, 0, 0])\ncheck(\"variable complete pair\",solve([(N,2*N),(None,N),(0,N)]),[2,N,3*N,2*N*N,2*N*N])\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":"Small offline integer/rational inputs only; no performance, statistical inference, or production-library conformance claim. 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":"s3-numerical-aggregation-jointly-observed-pair-summary-pair-count-marginal","generated_at":"2026-09-29T14:39:14.164340+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Exact bounded examples isolate a reduction defect without floating-point or external-service effects.","repair":"Preserve the jointly observed pair summary contract at the identified reduction decision.","root_cause":"Paired count uses all original rows.","sha256":"05938a1d5c68ee6996a804f25ad60797e6be3a881c529a55e7d597fbe2c8ab9a","title":"Jointly observed pair summary: Paired count uses all original rows. · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":45.695,"exit_code":1,"observations":[{"actual":[3,1,6,2,17],"check":"regression 1","expected":[2,1,6,2,17],"passed":false},{"actual":[0,0,0,0,0],"check":"regression 2","expected":[0,0,0,0,0],"passed":true},{"actual":[0,0,0,0,0],"check":"regression 3","expected":[0,0,0,0,0],"passed":true},{"actual":[3,2,2,-10,50],"check":"regression 4","expected":[3,2,2,-10,50],"passed":true},{"actual":[2,6,6,18,0],"check":"regression 5","expected":[2,6,6,18,0],"passed":true},{"actual":[2,2,2,0,8],"check":"regression 6","expected":[2,2,2,0,8],"passed":true},{"actual":[1,0,0,0,0],"check":"regression 7","expected":[0,0,0,0,0],"passed":false},{"actual":[2,1,3,2,2],"check":"variable complete pair","expected":[2,1,3,2,2],"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression 1\", \"actual\": [3, 1, 6, 2, 17], \"expected\": [2, 1, 6, 2, 17], \"passed\": false}, {\"check\": \"regression 2\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"regression 3\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"regression 4\", \"actual\": [3, 2, 2, -10, 50], \"expected\": [3, 2, 2, -10, 50], \"passed\": true}, {\"check\": \"regression 5\", \"actual\": [2, 6, 6, 18, 0], \"expected\": [2, 6, 6, 18, 0], \"passed\": true}, {\"check\": \"regression 6\", \"actual\": [2, 2, 2, 0, 8], \"expected\": [2, 2, 2, 0, 8], \"passed\": true}, {\"check\": \"regression 7\", \"actual\": [1, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": false}, {\"check\": \"variable complete pair\", \"actual\": [2, 1, 3, 2, 2], \"expected\": [2, 1, 3, 2, 2], \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":45.556,"exit_code":1,"observations":[{"actual":[4,1,6,2,17],"check":"regression 1","expected":[2,1,6,2,17],"passed":false},{"actual":[0,0,0,0,0],"check":"regression 2","expected":[0,0,0,0,0],"passed":true},{"actual":[1,0,0,0,0],"check":"regression 3","expected":[0,0,0,0,0],"passed":false},{"actual":[3,2,2,-10,50],"check":"regression 4","expected":[3,2,2,-10,50],"passed":true},{"actual":[3,6,6,18,0],"check":"regression 5","expected":[2,6,6,18,0],"passed":false},{"actual":[2,2,2,0,8],"check":"regression 6","expected":[2,2,2,0,8],"passed":true},{"actual":[2,0,0,0,0],"check":"regression 7","expected":[0,0,0,0,0],"passed":false},{"actual":[3,1,3,2,2],"check":"variable complete pair","expected":[2,1,3,2,2],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression 1\", \"actual\": [4, 1, 6, 2, 17], \"expected\": [2, 1, 6, 2, 17], \"passed\": false}, {\"check\": \"regression 2\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"regression 3\", \"actual\": [1, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": false}, {\"check\": \"regression 4\", \"actual\": [3, 2, 2, -10, 50], \"expected\": [3, 2, 2, -10, 50], \"passed\": true}, {\"check\": \"regression 5\", \"actual\": [3, 6, 6, 18, 0], \"expected\": [2, 6, 6, 18, 0], \"passed\": false}, {\"check\": \"regression 6\", \"actual\": [2, 2, 2, 0, 8], \"expected\": [2, 2, 2, 0, 8], \"passed\": true}, {\"check\": \"regression 7\", \"actual\": [2, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": false}, {\"check\": \"variable complete pair\", \"actual\": [3, 1, 3, 2, 2], \"expected\": [2, 1, 3, 2, 2], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.207,"exit_code":0,"observations":[{"actual":[2,1,6,2,17],"check":"regression 1","expected":[2,1,6,2,17],"passed":true},{"actual":[0,0,0,0,0],"check":"regression 2","expected":[0,0,0,0,0],"passed":true},{"actual":[0,0,0,0,0],"check":"regression 3","expected":[0,0,0,0,0],"passed":true},{"actual":[3,2,2,-10,50],"check":"regression 4","expected":[3,2,2,-10,50],"passed":true},{"actual":[2,6,6,18,0],"check":"regression 5","expected":[2,6,6,18,0],"passed":true},{"actual":[2,2,2,0,8],"check":"regression 6","expected":[2,2,2,0,8],"passed":true},{"actual":[0,0,0,0,0],"check":"regression 7","expected":[0,0,0,0,0],"passed":true},{"actual":[2,1,3,2,2],"check":"variable complete pair","expected":[2,1,3,2,2],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"regression 1\", \"actual\": [2, 1, 6, 2, 17], \"expected\": [2, 1, 6, 2, 17], \"passed\": true}, {\"check\": \"regression 2\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"regression 3\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"regression 4\", \"actual\": [3, 2, 2, -10, 50], \"expected\": [3, 2, 2, -10, 50], \"passed\": true}, {\"check\": \"regression 5\", \"actual\": [2, 6, 6, 18, 0], \"expected\": [2, 6, 6, 18, 0], \"passed\": true}, {\"check\": \"regression 6\", \"actual\": [2, 2, 2, 0, 8], \"expected\": [2, 2, 2, 0, 8], \"passed\": true}, {\"check\": \"regression 7\", \"actual\": [0, 0, 0, 0, 0], \"expected\": [0, 0, 0, 0, 0], \"passed\": true}, {\"check\": \"variable complete pair\", \"actual\": [2, 1, 3, 2, 2], \"expected\": [2, 1, 3, 2, 2], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}