{"abstract":"A level exactly on the q24h line is assigned q36h.","category":"Medication dosing calculations","checks":7,"contract":"Input {dose \"HH:MM\", draw \"HH:MM\" (a draw clock time earlier than the dose means the next day), level mg/L}. Hours after dose must be within 6-14 inclusive, else OUT_OF_RANGE. With rem = 14 - hours: level <= 2 + rem/2 gives q24h; <= 4 + 0.75*rem gives q36h; <= 6 + rem gives q48h; otherwise HOLD_RECHECK. Return {interval, hours (2 dp)}.","contract_signature":"x","evaluation_group":"w2-meddose-extended-interval-nomogram","failed_approach":"Floor division of rem/2 lowers the line for odd remaining hours.","family":"w2-meddose-extended-interval-nomogram-q24h-line-inclusive-edge","id":"FA-64336","implementations":{"attempt":{"sha256":"7848a859f52ecee98a3d145c38f7ffb4c2e61c0552b3836adea121d341bad636","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    def mins(s):\n        h, m = map(int, s.split(':'))\n        return h * 60 + m\n    dt = mins(x['draw']) - mins(x['dose'])\n    if dt < 0:\n        dt += 1440\n    hrs = Fraction(dt, 60)\n    if hrs < 6 or hrs > 14:\n        return {'interval': 'OUT_OF_RANGE', 'hours': round(float(hrs), 2)}\n    lv = Fraction(str(x['level']))\n    rem = 14 - hrs\n    if lv <= 2 + rem // 2:\n        iv = 'q24h'\n    elif lv <= 4 + rem * Fraction(3, 4):\n        iv = 'q36h'\n    elif lv <= 6 + rem:\n        iv = 'q48h'\n    else:\n        iv = 'HOLD_RECHECK'\n    return {'interval': iv, 'hours': round(float(hrs), 2)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('draw after midnight',\n   {'dose': '20:00', 'draw': '03:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 7.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 6}, {'interval': 'q24h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '2'}, {'interval': 'q24h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:10', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.17}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:15', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.25}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '17:00', 'level': '4.5'}, {'interval': 'q24h', 'hours': 9.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 4},\n   {'interval': 'q24h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '04:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 8.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 7}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '3'}, {'interval': 'q36h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:20', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.33}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:20', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.33}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '15:00', 'level': '5.5'}, {'interval': 'q24h', 'hours': 7.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 5},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '05:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 9.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 8}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '4'}, {'interval': 'q36h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:30', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.5}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:25', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.42}),\n  ('on the q24 line',\n   {'dose': '08:00', 'draw': '19:00', 'level': '3.5'},\n   {'interval': 'q24h', 'hours': 11.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 6},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '06:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 10.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 9}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '6'}, {'interval': 'q48h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:40', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.67}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:30', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.5}),\n  ('on the q24 line',\n   {'dose': '08:00', 'draw': '21:00', 'level': '2.5'},\n   {'interval': 'q24h', 'hours': 13.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 7},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '07:00', 'level': '4'},\n   {'interval': 'q36h', 'hours': 11.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 10}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours',\n   {'dose': '06:30', 'draw': '20:30', 'level': '7'},\n   {'interval': 'HOLD_RECHECK', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:50', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.83}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:35', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.58}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '17:00', 'level': '4.5'}, {'interval': 'q24h', 'hours': 9.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 8},\n   {'interval': 'q48h', 'hours': 10.0})]]\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":"a2bf7bd8ee219e2f02d9bfcc91bbb3109ab2a639c8cb97bdc9e0dca9848f79bb","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    def mins(s):\n        h, m = map(int, s.split(':'))\n        return h * 60 + m\n    dt = mins(x['draw']) - mins(x['dose'])\n    if dt < 0:\n        dt += 1440\n    hrs = Fraction(dt, 60)\n    if hrs < 6 or hrs > 14:\n        return {'interval': 'OUT_OF_RANGE', 'hours': round(float(hrs), 2)}\n    lv = Fraction(str(x['level']))\n    rem = 14 - hrs\n    if lv < 2 + rem / 2:\n        iv = 'q24h'\n    elif lv <= 4 + rem * Fraction(3, 4):\n        iv = 'q36h'\n    elif lv <= 6 + rem:\n        iv = 'q48h'\n    else:\n        iv = 'HOLD_RECHECK'\n    return {'interval': iv, 'hours': round(float(hrs), 2)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('draw after midnight',\n   {'dose': '20:00', 'draw': '03:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 7.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 6}, {'interval': 'q24h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '2'}, {'interval': 'q24h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:10', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.17}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:15', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.25}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '17:00', 'level': '4.5'}, {'interval': 'q24h', 'hours': 9.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 4},\n   {'interval': 'q24h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '04:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 8.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 7}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '3'}, {'interval': 'q36h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:20', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.33}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:20', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.33}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '15:00', 'level': '5.5'}, {'interval': 'q24h', 'hours': 7.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 5},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '05:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 9.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 8}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '4'}, {'interval': 'q36h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:30', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.5}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:25', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.42}),\n  ('on the q24 line',\n   {'dose': '08:00', 'draw': '19:00', 'level': '3.5'},\n   {'interval': 'q24h', 'hours': 11.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 6},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '06:00', 'level': '4'},\n   {'interval': 'q24h', 'hours': 10.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 9}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours', {'dose': '06:30', 'draw': '20:30', 'level': '6'}, {'interval': 'q48h', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:40', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.67}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:30', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.5}),\n  ('on the q24 line',\n   {'dose': '08:00', 'draw': '21:00', 'level': '2.5'},\n   {'interval': 'q24h', 'hours': 13.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 7},\n   {'interval': 'q36h', 'hours': 10.0})],\n [('draw after midnight',\n   {'dose': '20:00', 'draw': '07:00', 'level': '4'},\n   {'interval': 'q36h', 'hours': 11.0}),\n  ('exactly 6 hours', {'dose': '08:00', 'draw': '14:00', 'level': 10}, {'interval': 'q36h', 'hours': 6.0}),\n  ('exactly 14 hours',\n   {'dose': '06:30', 'draw': '20:30', 'level': '7'},\n   {'interval': 'HOLD_RECHECK', 'hours': 14.0}),\n  ('beyond 14 hours',\n   {'dose': '06:00', 'draw': '20:50', 'level': '1'},\n   {'interval': 'OUT_OF_RANGE', 'hours': 14.83}),\n  ('fractional hour reading',\n   {'dose': '08:00', 'draw': '18:35', 'level': '3.95'},\n   {'interval': 'q36h', 'hours': 10.58}),\n  ('on the q24 line', {'dose': '08:00', 'draw': '17:00', 'level': '4.5'}, {'interval': 'q24h', 'hours': 9.0}),\n  ('late draw mid-band',\n   {'dose': '07:00', 'draw': '17:00', 'level': 8},\n   {'interval': 'q48h', 'hours': 10.0})]]\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":"A deterministic toy software model with explicitly stipulated thresholds and formulas; it is not clinical guidance, not a validated medical calculator, and makes no claim of conformance to any published protocol. Numbered variants vary patient and order inputs. 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-meddose-extended-interval-nomogram-q24h-line-inclusive-edge","generated_at":"2026-09-29T14:47:23.308263+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Interval nomograms read a timed level against sloped lines; clock arithmetic and line edges are separate defect sites.","root_cause":"The q24h comparison is strict, excluding values on the line.","sha256":"10c931fc60dbe923f565a1198d5b50bd9f9d010c426e8d65df48321875ca1e2c","title":"Single-level extended-interval nomogram: q24h line inclusive edge · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verified":true,"visibility":"public","verification":{"attempt":{"elapsed_ms":44.171,"exit_code":1,"observations":[{"actual":{"hours":7.0,"interval":"q24h"},"check":"draw after midnight","expected":{"hours":7.0,"interval":"q24h"},"passed":true},{"actual":{"hours":6.0,"interval":"q24h"},"check":"exactly 6 hours","expected":{"hours":6.0,"interval":"q24h"},"passed":true},{"actual":{"hours":14.0,"interval":"q24h"},"check":"exactly 14 hours","expected":{"hours":14.0,"interval":"q24h"},"passed":true},{"actual":{"hours":14.17,"interval":"OUT_OF_RANGE"},"check":"beyond 14 hours","expected":{"hours":14.17,"interval":"OUT_OF_RANGE"},"passed":true},{"actual":{"hours":10.25,"interval":"q36h"},"check":"fractional hour reading","expected":{"hours":10.25,"interval":"q36h"},"passed":true},{"actual":{"hours":9.0,"interval":"q36h"},"check":"on the q24 line","expected":{"hours":9.0,"interval":"q24h"},"passed":false},{"actual":{"hours":10.0,"interval":"q24h"},"check":"late draw mid-band","expected":{"hours":10.0,"interval":"q24h"},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"draw after midnight\", \"actual\": {\"interval\": \"q24h\", \"hours\": 7.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 7.0}, \"passed\": true}, {\"check\": \"exactly 6 hours\", \"actual\": {\"interval\": \"q24h\", \"hours\": 6.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 6.0}, \"passed\": true}, {\"check\": \"exactly 14 hours\", \"actual\": {\"interval\": \"q24h\", \"hours\": 14.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 14.0}, \"passed\": true}, {\"check\": \"beyond 14 hours\", \"actual\": {\"interval\": \"OUT_OF_RANGE\", \"hours\": 14.17}, \"expected\": {\"interval\": \"OUT_OF_RANGE\", \"hours\": 14.17}, \"passed\": true}, {\"check\": \"fractional hour reading\", \"actual\": {\"interval\": \"q36h\", \"hours\": 10.25}, \"expected\": {\"interval\": \"q36h\", \"hours\": 10.25}, \"passed\": true}, {\"check\": \"on the q24 line\", \"actual\": {\"interval\": \"q36h\", \"hours\": 9.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 9.0}, \"passed\": false}, {\"check\": \"late draw mid-band\", \"actual\": {\"interval\": \"q24h\", \"hours\": 10.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 10.0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.958,"exit_code":1,"observations":[{"actual":{"hours":7.0,"interval":"q24h"},"check":"draw after midnight","expected":{"hours":7.0,"interval":"q24h"},"passed":true},{"actual":{"hours":6.0,"interval":"q36h"},"check":"exactly 6 hours","expected":{"hours":6.0,"interval":"q24h"},"passed":false},{"actual":{"hours":14.0,"interval":"q36h"},"check":"exactly 14 hours","expected":{"hours":14.0,"interval":"q24h"},"passed":false},{"actual":{"hours":14.17,"interval":"OUT_OF_RANGE"},"check":"beyond 14 hours","expected":{"hours":14.17,"interval":"OUT_OF_RANGE"},"passed":true},{"actual":{"hours":10.25,"interval":"q36h"},"check":"fractional hour reading","expected":{"hours":10.25,"interval":"q36h"},"passed":true},{"actual":{"hours":9.0,"interval":"q36h"},"check":"on the q24 line","expected":{"hours":9.0,"interval":"q24h"},"passed":false},{"actual":{"hours":10.0,"interval":"q36h"},"check":"late draw mid-band","expected":{"hours":10.0,"interval":"q24h"},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"draw after midnight\", \"actual\": {\"interval\": \"q24h\", \"hours\": 7.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 7.0}, \"passed\": true}, {\"check\": \"exactly 6 hours\", \"actual\": {\"interval\": \"q36h\", \"hours\": 6.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 6.0}, \"passed\": false}, {\"check\": \"exactly 14 hours\", \"actual\": {\"interval\": \"q36h\", \"hours\": 14.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 14.0}, \"passed\": false}, {\"check\": \"beyond 14 hours\", \"actual\": {\"interval\": \"OUT_OF_RANGE\", \"hours\": 14.17}, \"expected\": {\"interval\": \"OUT_OF_RANGE\", \"hours\": 14.17}, \"passed\": true}, {\"check\": \"fractional hour reading\", \"actual\": {\"interval\": \"q36h\", \"hours\": 10.25}, \"expected\": {\"interval\": \"q36h\", \"hours\": 10.25}, \"passed\": true}, {\"check\": \"on the q24 line\", \"actual\": {\"interval\": \"q36h\", \"hours\": 9.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 9.0}, \"passed\": false}, {\"check\": \"late draw mid-band\", \"actual\": {\"interval\": \"q36h\", \"hours\": 10.0}, \"expected\": {\"interval\": \"q24h\", \"hours\": 10.0}, \"passed\": false}], \"passed\": false}\n"}},"member_only":{"stages":["fixed"],"fields":["implementations.fixed","verification.fixed","harness","repair"],"note":"The verified repair, its recorded checks, the repair description, and the scoring harness are available to members."}}