{"abstract":"Between table nodes the correction runs backward.","category":"Seismic magnitude estimation","checks":8,"contract":"P amplitude in micrometres, period in s, epicentral distance in degrees. Valid only for 20 <= delta <= 100 and 0 < period <= 3.0 (else None). Q(delta) is linearly interpolated from [(20,6.0),(30,6.5),(40,6.8),(60,6.9),(80,7.0),(100,7.4)]. mb = log10(A/T) + Q, rounded 0.01.","evaluation_group":"w2-seismic_magnitude_estimation-body-wave-mb","failed_approach":"Dividing by d1 instead of the interval width shrinks the fraction.","family":"w2-seismic_magnitude_estimation-body-wave-mb-calibration-interpolation","id":"FA-71436","implementations":{"attempt":{"sha256":"06cc844b4bb430d21661353f4bf2cf59cf00a38145d9c2b6072f43a67e6df2fe","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(amp_um, period_s, delta_deg):\n    table = [(20, 6.0), (30, 6.5), (40, 6.8), (60, 6.9), (80, 7.0), (100, 7.4)]\n    if not (20 <= delta_deg <= 100):\n        return None\n    if period_s <= 0 or period_s > 3.0:\n        return None\n    q = None\n    for (d0, q0), (d1, q1) in zip(table, table[1:]):\n        if d0 <= delta_deg <= d1:\n            q = q0 + (q1 - q0) * (delta_deg - d0) / d1\n            break\n    return round(math.log10(amp_um / period_s) + q, 2)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['0.05 um 0.5 s at 15 deg', [0.05, 0.5, 15], None], ['0.05 um 0.5 s at 20 deg', [0.05, 0.5, 20], 5.0], ['0.05 um 0.5 s at 25 deg', [0.05, 0.5, 25], 5.25], ['0.05 um 0.5 s at 45 deg', [0.05, 0.5, 45], 5.83], ['0.05 um 0.5 s at 70 deg', [0.05, 0.5, 70], 5.95], ['0.05 um 0.5 s at 99 deg', [0.05, 0.5, 99], 6.38], ['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None]], [['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None], ['0.05 um 1.0 s at 15 deg', [0.05, 1.0, 15], None], ['0.05 um 1.0 s at 20 deg', [0.05, 1.0, 20], 4.7], ['0.05 um 1.0 s at 25 deg', [0.05, 1.0, 25], 4.95], ['0.05 um 1.0 s at 45 deg', [0.05, 1.0, 45], 5.52], ['0.05 um 1.0 s at 70 deg', [0.05, 1.0, 70], 5.65], ['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08]], [['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08], ['0.05 um 1.0 s at 100 deg', [0.05, 1.0, 100], 6.1], ['0.05 um 1.0 s at 101 deg', [0.05, 1.0, 101], None], ['0.05 um 2.0 s at 15 deg', [0.05, 2.0, 15], None], ['0.05 um 2.0 s at 20 deg', [0.05, 2.0, 20], 4.4], ['0.05 um 2.0 s at 25 deg', [0.05, 2.0, 25], 4.65], ['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 70 deg', [0.05, 2.0, 70], 5.35]], [['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 99 deg', [0.05, 2.0, 99], 5.78], ['0.05 um 2.0 s at 100 deg', [0.05, 2.0, 100], 5.8], ['0.05 um 2.0 s at 101 deg', [0.05, 2.0, 101], None], ['0.05 um 3.0 s at 15 deg', [0.05, 3.0, 15], None], ['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 25 deg', [0.05, 3.0, 25], 4.47], ['0.05 um 3.0 s at 45 deg', [0.05, 3.0, 45], 5.05]], [['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 70 deg', [0.05, 3.0, 70], 5.17], ['0.05 um 3.0 s at 99 deg', [0.05, 3.0, 99], 5.6], ['0.05 um 3.0 s at 100 deg', [0.05, 3.0, 100], 5.62], ['0.05 um 3.0 s at 101 deg', [0.05, 3.0, 101], None], ['0.05 um 3.5 s at 15 deg', [0.05, 3.5, 15], None], ['0.05 um 3.5 s at 20 deg', [0.05, 3.5, 20], None], ['0.4 um 0.5 s at 45 deg', [0.4, 0.5, 45], 6.73]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\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":"7824aaa4a92e1e8844bfd1bbfa953a238665608e7f8a240c129a68f631cded6c","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(amp_um, period_s, delta_deg):\n    table = [(20, 6.0), (30, 6.5), (40, 6.8), (60, 6.9), (80, 7.0), (100, 7.4)]\n    if not (20 <= delta_deg <= 100):\n        return None\n    if period_s <= 0 or period_s > 3.0:\n        return None\n    q = None\n    for (d0, q0), (d1, q1) in zip(table, table[1:]):\n        if d0 <= delta_deg <= d1:\n            q = q0 + (q1 - q0) * (d1 - delta_deg) / (d1 - d0)\n            break\n    return round(math.log10(amp_um / period_s) + q, 2)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['0.05 um 0.5 s at 15 deg', [0.05, 0.5, 15], None], ['0.05 um 0.5 s at 20 deg', [0.05, 0.5, 20], 5.0], ['0.05 um 0.5 s at 25 deg', [0.05, 0.5, 25], 5.25], ['0.05 um 0.5 s at 45 deg', [0.05, 0.5, 45], 5.83], ['0.05 um 0.5 s at 70 deg', [0.05, 0.5, 70], 5.95], ['0.05 um 0.5 s at 99 deg', [0.05, 0.5, 99], 6.38], ['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None]], [['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None], ['0.05 um 1.0 s at 15 deg', [0.05, 1.0, 15], None], ['0.05 um 1.0 s at 20 deg', [0.05, 1.0, 20], 4.7], ['0.05 um 1.0 s at 25 deg', [0.05, 1.0, 25], 4.95], ['0.05 um 1.0 s at 45 deg', [0.05, 1.0, 45], 5.52], ['0.05 um 1.0 s at 70 deg', [0.05, 1.0, 70], 5.65], ['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08]], [['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08], ['0.05 um 1.0 s at 100 deg', [0.05, 1.0, 100], 6.1], ['0.05 um 1.0 s at 101 deg', [0.05, 1.0, 101], None], ['0.05 um 2.0 s at 15 deg', [0.05, 2.0, 15], None], ['0.05 um 2.0 s at 20 deg', [0.05, 2.0, 20], 4.4], ['0.05 um 2.0 s at 25 deg', [0.05, 2.0, 25], 4.65], ['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 70 deg', [0.05, 2.0, 70], 5.35]], [['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 99 deg', [0.05, 2.0, 99], 5.78], ['0.05 um 2.0 s at 100 deg', [0.05, 2.0, 100], 5.8], ['0.05 um 2.0 s at 101 deg', [0.05, 2.0, 101], None], ['0.05 um 3.0 s at 15 deg', [0.05, 3.0, 15], None], ['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 25 deg', [0.05, 3.0, 25], 4.47], ['0.05 um 3.0 s at 45 deg', [0.05, 3.0, 45], 5.05]], [['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 70 deg', [0.05, 3.0, 70], 5.17], ['0.05 um 3.0 s at 99 deg', [0.05, 3.0, 99], 5.6], ['0.05 um 3.0 s at 100 deg', [0.05, 3.0, 100], 5.62], ['0.05 um 3.0 s at 101 deg', [0.05, 3.0, 101], None], ['0.05 um 3.5 s at 15 deg', [0.05, 3.5, 15], None], ['0.05 um 3.5 s at 20 deg', [0.05, 3.5, 20], None], ['0.4 um 0.5 s at 45 deg', [0.4, 0.5, 45], 6.73]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\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":"104ae40f4c1f04dc7138c3e4e235d563f895530f6fa1ba1c1fc2ba47edd0ab85","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nN = 1\nobservations = []\ndef solve(amp_um, period_s, delta_deg):\n    table = [(20, 6.0), (30, 6.5), (40, 6.8), (60, 6.9), (80, 7.0), (100, 7.4)]\n    if not (20 <= delta_deg <= 100):\n        return None\n    if period_s <= 0 or period_s > 3.0:\n        return None\n    q = None\n    for (d0, q0), (d1, q1) in zip(table, table[1:]):\n        if d0 <= delta_deg <= d1:\n            q = q0 + (q1 - q0) * (delta_deg - d0) / (d1 - d0)\n            break\n    return round(math.log10(amp_um / period_s) + q, 2)\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[['0.05 um 0.5 s at 15 deg', [0.05, 0.5, 15], None], ['0.05 um 0.5 s at 20 deg', [0.05, 0.5, 20], 5.0], ['0.05 um 0.5 s at 25 deg', [0.05, 0.5, 25], 5.25], ['0.05 um 0.5 s at 45 deg', [0.05, 0.5, 45], 5.83], ['0.05 um 0.5 s at 70 deg', [0.05, 0.5, 70], 5.95], ['0.05 um 0.5 s at 99 deg', [0.05, 0.5, 99], 6.38], ['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None]], [['0.05 um 0.5 s at 100 deg', [0.05, 0.5, 100], 6.4], ['0.05 um 0.5 s at 101 deg', [0.05, 0.5, 101], None], ['0.05 um 1.0 s at 15 deg', [0.05, 1.0, 15], None], ['0.05 um 1.0 s at 20 deg', [0.05, 1.0, 20], 4.7], ['0.05 um 1.0 s at 25 deg', [0.05, 1.0, 25], 4.95], ['0.05 um 1.0 s at 45 deg', [0.05, 1.0, 45], 5.52], ['0.05 um 1.0 s at 70 deg', [0.05, 1.0, 70], 5.65], ['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08]], [['0.05 um 1.0 s at 99 deg', [0.05, 1.0, 99], 6.08], ['0.05 um 1.0 s at 100 deg', [0.05, 1.0, 100], 6.1], ['0.05 um 1.0 s at 101 deg', [0.05, 1.0, 101], None], ['0.05 um 2.0 s at 15 deg', [0.05, 2.0, 15], None], ['0.05 um 2.0 s at 20 deg', [0.05, 2.0, 20], 4.4], ['0.05 um 2.0 s at 25 deg', [0.05, 2.0, 25], 4.65], ['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 70 deg', [0.05, 2.0, 70], 5.35]], [['0.05 um 2.0 s at 45 deg', [0.05, 2.0, 45], 5.22], ['0.05 um 2.0 s at 99 deg', [0.05, 2.0, 99], 5.78], ['0.05 um 2.0 s at 100 deg', [0.05, 2.0, 100], 5.8], ['0.05 um 2.0 s at 101 deg', [0.05, 2.0, 101], None], ['0.05 um 3.0 s at 15 deg', [0.05, 3.0, 15], None], ['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 25 deg', [0.05, 3.0, 25], 4.47], ['0.05 um 3.0 s at 45 deg', [0.05, 3.0, 45], 5.05]], [['0.05 um 3.0 s at 20 deg', [0.05, 3.0, 20], 4.22], ['0.05 um 3.0 s at 70 deg', [0.05, 3.0, 70], 5.17], ['0.05 um 3.0 s at 99 deg', [0.05, 3.0, 99], 5.6], ['0.05 um 3.0 s at 100 deg', [0.05, 3.0, 100], 5.62], ['0.05 um 3.0 s at 101 deg', [0.05, 3.0, 101], None], ['0.05 um 3.5 s at 15 deg', [0.05, 3.5, 15], None], ['0.05 um 3.5 s at 20 deg', [0.05, 3.5, 20], None], ['0.4 um 0.5 s at 45 deg', [0.4, 0.5, 45], 6.73]]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(*args), expected)\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":"Stipulated deterministic teaching model of a seismological magnitude procedure; constants and tables are fixed by the contract and no claim of agency or standards conformance is made. 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":"w2-seismic_magnitude_estimation-body-wave-mb-calibration-interpolation","generated_at":"2026-09-29T14:48:29.668783+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"mb is the first teleseismic magnitude available for global events.","repair":"Weight by (delta - d0)/(d1 - d0).","root_cause":"The interpolation fraction is measured from the upper node.","sha256":"9b9e36d8f066649ee26a35421704fc9a6134b6f7d0140d0e17ccf8a84075d958","title":"Teleseismic body-wave magnitude: calibration interpolation · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":38.365,"exit_code":1,"observations":[{"actual":null,"check":"0.05 um 0.5 s at 15 deg","expected":null,"passed":true},{"actual":5.0,"check":"0.05 um 0.5 s at 20 deg","expected":5.0,"passed":true},{"actual":5.08,"check":"0.05 um 0.5 s at 25 deg","expected":5.25,"passed":false},{"actual":5.81,"check":"0.05 um 0.5 s at 45 deg","expected":5.83,"passed":false},{"actual":5.91,"check":"0.05 um 0.5 s at 70 deg","expected":5.95,"passed":false},{"actual":6.08,"check":"0.05 um 0.5 s at 99 deg","expected":6.38,"passed":false},{"actual":6.08,"check":"0.05 um 0.5 s at 100 deg","expected":6.4,"passed":false},{"actual":null,"check":"0.05 um 0.5 s at 101 deg","expected":null,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"0.05 um 0.5 s at 15 deg\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 20 deg\", \"actual\": 5.0, \"expected\": 5.0, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 25 deg\", \"actual\": 5.08, \"expected\": 5.25, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 45 deg\", \"actual\": 5.81, \"expected\": 5.83, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 70 deg\", \"actual\": 5.91, \"expected\": 5.95, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 99 deg\", \"actual\": 6.08, \"expected\": 6.38, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 100 deg\", \"actual\": 6.08, \"expected\": 6.4, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 101 deg\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":37.156,"exit_code":1,"observations":[{"actual":null,"check":"0.05 um 0.5 s at 15 deg","expected":null,"passed":true},{"actual":5.5,"check":"0.05 um 0.5 s at 20 deg","expected":5.0,"passed":false},{"actual":5.25,"check":"0.05 um 0.5 s at 25 deg","expected":5.25,"passed":true},{"actual":5.88,"check":"0.05 um 0.5 s at 45 deg","expected":5.83,"passed":false},{"actual":5.95,"check":"0.05 um 0.5 s at 70 deg","expected":5.95,"passed":true},{"actual":6.02,"check":"0.05 um 0.5 s at 99 deg","expected":6.38,"passed":false},{"actual":6.0,"check":"0.05 um 0.5 s at 100 deg","expected":6.4,"passed":false},{"actual":null,"check":"0.05 um 0.5 s at 101 deg","expected":null,"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"0.05 um 0.5 s at 15 deg\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 20 deg\", \"actual\": 5.5, \"expected\": 5.0, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 25 deg\", \"actual\": 5.25, \"expected\": 5.25, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 45 deg\", \"actual\": 5.88, \"expected\": 5.83, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 70 deg\", \"actual\": 5.95, \"expected\": 5.95, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 99 deg\", \"actual\": 6.02, \"expected\": 6.38, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 100 deg\", \"actual\": 6.0, \"expected\": 6.4, \"passed\": false}, {\"check\": \"0.05 um 0.5 s at 101 deg\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":38.282,"exit_code":0,"observations":[{"actual":null,"check":"0.05 um 0.5 s at 15 deg","expected":null,"passed":true},{"actual":5.0,"check":"0.05 um 0.5 s at 20 deg","expected":5.0,"passed":true},{"actual":5.25,"check":"0.05 um 0.5 s at 25 deg","expected":5.25,"passed":true},{"actual":5.83,"check":"0.05 um 0.5 s at 45 deg","expected":5.83,"passed":true},{"actual":5.95,"check":"0.05 um 0.5 s at 70 deg","expected":5.95,"passed":true},{"actual":6.38,"check":"0.05 um 0.5 s at 99 deg","expected":6.38,"passed":true},{"actual":6.4,"check":"0.05 um 0.5 s at 100 deg","expected":6.4,"passed":true},{"actual":null,"check":"0.05 um 0.5 s at 101 deg","expected":null,"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"0.05 um 0.5 s at 15 deg\", \"actual\": null, \"expected\": null, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 20 deg\", \"actual\": 5.0, \"expected\": 5.0, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 25 deg\", \"actual\": 5.25, \"expected\": 5.25, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 45 deg\", \"actual\": 5.83, \"expected\": 5.83, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 70 deg\", \"actual\": 5.95, \"expected\": 5.95, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 99 deg\", \"actual\": 6.38, \"expected\": 6.38, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 100 deg\", \"actual\": 6.4, \"expected\": 6.4, \"passed\": true}, {\"check\": \"0.05 um 0.5 s at 101 deg\", \"actual\": null, \"expected\": null, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}