{"abstract":"Individual doses above max_single_mg are produced for heavy patients on high mg/kg/day orders.","category":"Medication dosing calculations","checks":6,"contract":"Input {weight_kg, mg_per_kg_day, interval_h (divides 24), max_single_mg, max_daily_mg, round_mg}. Toy rule: doses/day = 24 / interval_h; daily = min(mg_per_kg_day * weight, max_daily_mg); per-dose = min(daily / doses, max_single_mg), then rounded DOWN to a multiple of round_mg. Return {doses_per_day, dose_mg, daily_mg = dose_mg * doses_per_day}.","evaluation_group":"w2-meddose-divided-daily-dose","failed_approach":"Capping the daily amount by the single-dose limit before dividing shrinks every dose far below the cap.","family":"w2-meddose-divided-daily-dose-single-dose-ceiling","id":"FA-63881","implementations":{"attempt":{"sha256":"c3ad91b5e65674a230092609e259dfbcd12530959b922d2847a8479389958d47","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    w = Fraction(str(x['weight_kg']))\n    per_day = 24 // x['interval_h']\n    daily = min(Fraction(str(x['mg_per_kg_day'])) * w, x['max_daily_mg'])\n    dose = min(daily, x['max_single_mg']) / per_day\n    inc = Fraction(str(x['round_mg']))\n    dose = math.floor(dose / inc) * inc\n    return {'doses_per_day': per_day, 'dose_mg': float(dose), 'daily_mg': float(dose * per_day)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('every 8 hours normal order',\n   {'weight_kg': 21,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 220.0, 'daily_mg': 660.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 11,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 110.0, 'daily_mg': 440.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 61,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 41,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 10.0, 'daily_mg': 10.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 22,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 165.0, 'daily_mg': 330.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 22,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 230.0, 'daily_mg': 690.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 12,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 120.0, 'daily_mg': 480.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 62,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 42,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 19,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 15.0, 'daily_mg': 15.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 24,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 180.0, 'daily_mg': 360.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 23,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 245.0, 'daily_mg': 735.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 13,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 130.0, 'daily_mg': 520.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 63,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 43,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 20.0, 'daily_mg': 20.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 26,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 195.0, 'daily_mg': 390.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 255.0, 'daily_mg': 765.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 140.0, 'daily_mg': 560.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 64,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 44,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 29,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 25.0, 'daily_mg': 25.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 28,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 210.0, 'daily_mg': 420.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 25,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 265.0, 'daily_mg': 795.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 150.0, 'daily_mg': 600.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 65,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 45,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 34,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 30.0, 'daily_mg': 30.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 30,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 225.0, 'daily_mg': 450.0})]]\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":"248fad9cea1ac9f8fcc5caf7ee94acaabdafd662841ed8831161498e9fb6fbd1","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    w = Fraction(str(x['weight_kg']))\n    per_day = 24 // x['interval_h']\n    daily = min(Fraction(str(x['mg_per_kg_day'])) * w, x['max_daily_mg'])\n    dose = daily / per_day\n    inc = Fraction(str(x['round_mg']))\n    dose = math.floor(dose / inc) * inc\n    return {'doses_per_day': per_day, 'dose_mg': float(dose), 'daily_mg': float(dose * per_day)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('every 8 hours normal order',\n   {'weight_kg': 21,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 220.0, 'daily_mg': 660.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 11,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 110.0, 'daily_mg': 440.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 61,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 41,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 10.0, 'daily_mg': 10.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 22,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 165.0, 'daily_mg': 330.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 22,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 230.0, 'daily_mg': 690.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 12,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 120.0, 'daily_mg': 480.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 62,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 42,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 19,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 15.0, 'daily_mg': 15.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 24,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 180.0, 'daily_mg': 360.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 23,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 245.0, 'daily_mg': 735.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 13,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 130.0, 'daily_mg': 520.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 63,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 43,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 20.0, 'daily_mg': 20.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 26,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 195.0, 'daily_mg': 390.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 255.0, 'daily_mg': 765.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 140.0, 'daily_mg': 560.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 64,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 44,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 29,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 25.0, 'daily_mg': 25.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 28,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 210.0, 'daily_mg': 420.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 25,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 265.0, 'daily_mg': 795.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 150.0, 'daily_mg': 600.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 65,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 45,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 34,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 30.0, 'daily_mg': 30.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 30,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 225.0, 'daily_mg': 450.0})]]\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"},"fixed":{"sha256":"554b1c8d4d7287825c88725f774ac420ca44def84a74abf15542c063553f9798","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\nimport math\nfrom fractions import Fraction\nN = 1\nobservations = []\ndef solve(x):\n    w = Fraction(str(x['weight_kg']))\n    per_day = 24 // x['interval_h']\n    daily = min(Fraction(str(x['mg_per_kg_day'])) * w, x['max_daily_mg'])\n    dose = min(daily / per_day, x['max_single_mg'])\n    inc = Fraction(str(x['round_mg']))\n    dose = math.floor(dose / inc) * inc\n    return {'doses_per_day': per_day, 'dose_mg': float(dose), 'daily_mg': float(dose * per_day)}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('every 8 hours normal order',\n   {'weight_kg': 21,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 220.0, 'daily_mg': 660.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 11,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 110.0, 'daily_mg': 440.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 61,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 41,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 10.0, 'daily_mg': 10.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 22,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 165.0, 'daily_mg': 330.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 22,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 230.0, 'daily_mg': 690.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 12,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 120.0, 'daily_mg': 480.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 62,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 42,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 19,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 15.0, 'daily_mg': 15.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 24,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 180.0, 'daily_mg': 360.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 23,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 245.0, 'daily_mg': 735.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 13,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 130.0, 'daily_mg': 520.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 63,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 43,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 20.0, 'daily_mg': 20.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 26,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 195.0, 'daily_mg': 390.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 24,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 255.0, 'daily_mg': 765.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 14,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 140.0, 'daily_mg': 560.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 64,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 44,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 29,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 25.0, 'daily_mg': 25.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 28,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 210.0, 'daily_mg': 420.0})],\n [('every 8 hours normal order',\n   {'weight_kg': 25,\n    'mg_per_kg_day': 32,\n    'interval_h': 8,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 5},\n   {'doses_per_day': 3, 'dose_mg': 265.0, 'daily_mg': 795.0}),\n  ('every 6 hours with 2.5 mg steps',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 40,\n    'interval_h': 6,\n    'max_single_mg': 500,\n    'max_daily_mg': 2000,\n    'round_mg': '2.5'},\n   {'doses_per_day': 4, 'dose_mg': 150.0, 'daily_mg': 600.0}),\n  ('daily ceiling limits large child',\n   {'weight_kg': 65,\n    'mg_per_kg_day': 50,\n    'interval_h': 12,\n    'max_single_mg': 1500,\n    'max_daily_mg': 2000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('single-dose ceiling',\n   {'weight_kg': 45,\n    'mg_per_kg_day': 100,\n    'interval_h': 12,\n    'max_single_mg': 1000,\n    'max_daily_mg': 5000,\n    'round_mg': 5},\n   {'doses_per_day': 2, 'dose_mg': 1000.0, 'daily_mg': 2000.0}),\n  ('rounding never exceeds calculated dose',\n   {'weight_kg': 34,\n    'mg_per_kg_day': 1,\n    'interval_h': 24,\n    'max_single_mg': 500,\n    'max_daily_mg': 500,\n    'round_mg': 5},\n   {'doses_per_day': 1, 'dose_mg': 30.0, 'daily_mg': 30.0}),\n  ('twice daily control',\n   {'weight_kg': 15,\n    'mg_per_kg_day': 30,\n    'interval_h': 12,\n    'max_single_mg': 500,\n    'max_daily_mg': 1500,\n    'round_mg': 1},\n   {'doses_per_day': 2, 'dose_mg': 225.0, 'daily_mg': 450.0})]]\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-divided-daily-dose-single-dose-ceiling","generated_at":"2026-09-29T14:47:19.109783+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Divided-dose calculators must count administrations per day correctly and apply both ceilings before rounding down to a measurable increment.","repair":"Divide the capped daily amount by doses/day and then cap each dose at max_single_mg.","root_cause":"The per-dose amount is never compared with max_single_mg.","sha256":"2439f6eb53a62f87e35dacfe06ae4f50f083d19e86843888ee107340b02d142a","title":"Pediatric mg/kg/day dose divided by interval: single-dose ceiling · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":44.449,"exit_code":1,"observations":[{"actual":{"daily_mg":495.0,"dose_mg":165.0,"doses_per_day":3},"check":"every 8 hours normal order","expected":{"daily_mg":660.0,"dose_mg":220.0,"doses_per_day":3},"passed":false},{"actual":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"check":"every 6 hours with 2.5 mg steps","expected":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"passed":true},{"actual":{"daily_mg":1500.0,"dose_mg":750.0,"doses_per_day":2},"check":"daily ceiling limits large child","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":false},{"actual":{"daily_mg":1000.0,"dose_mg":500.0,"doses_per_day":2},"check":"single-dose ceiling","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":false},{"actual":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"check":"rounding never exceeds calculated dose","expected":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"passed":true},{"actual":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"check":"twice daily control","expected":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"every 8 hours normal order\", \"actual\": {\"doses_per_day\": 3, \"dose_mg\": 165.0, \"daily_mg\": 495.0}, \"expected\": {\"doses_per_day\": 3, \"dose_mg\": 220.0, \"daily_mg\": 660.0}, \"passed\": false}, {\"check\": \"every 6 hours with 2.5 mg steps\", \"actual\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"expected\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"passed\": true}, {\"check\": \"daily ceiling limits large child\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 750.0, \"daily_mg\": 1500.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": false}, {\"check\": \"single-dose ceiling\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 500.0, \"daily_mg\": 1000.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": false}, {\"check\": \"rounding never exceeds calculated dose\", \"actual\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"expected\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"passed\": true}, {\"check\": \"twice daily control\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"passed\": true}], \"passed\": false}\n"},"broken":{"elapsed_ms":43.691,"exit_code":1,"observations":[{"actual":{"daily_mg":660.0,"dose_mg":220.0,"doses_per_day":3},"check":"every 8 hours normal order","expected":{"daily_mg":660.0,"dose_mg":220.0,"doses_per_day":3},"passed":true},{"actual":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"check":"every 6 hours with 2.5 mg steps","expected":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"passed":true},{"actual":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"check":"daily ceiling limits large child","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":true},{"actual":{"daily_mg":4100.0,"dose_mg":2050.0,"doses_per_day":2},"check":"single-dose ceiling","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":false},{"actual":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"check":"rounding never exceeds calculated dose","expected":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"passed":true},{"actual":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"check":"twice daily control","expected":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"passed":true}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"every 8 hours normal order\", \"actual\": {\"doses_per_day\": 3, \"dose_mg\": 220.0, \"daily_mg\": 660.0}, \"expected\": {\"doses_per_day\": 3, \"dose_mg\": 220.0, \"daily_mg\": 660.0}, \"passed\": true}, {\"check\": \"every 6 hours with 2.5 mg steps\", \"actual\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"expected\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"passed\": true}, {\"check\": \"daily ceiling limits large child\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": true}, {\"check\": \"single-dose ceiling\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 2050.0, \"daily_mg\": 4100.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": false}, {\"check\": \"rounding never exceeds calculated dose\", \"actual\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"expected\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"passed\": true}, {\"check\": \"twice daily control\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"passed\": true}], \"passed\": false}\n"},"fixed":{"elapsed_ms":45.872,"exit_code":0,"observations":[{"actual":{"daily_mg":660.0,"dose_mg":220.0,"doses_per_day":3},"check":"every 8 hours normal order","expected":{"daily_mg":660.0,"dose_mg":220.0,"doses_per_day":3},"passed":true},{"actual":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"check":"every 6 hours with 2.5 mg steps","expected":{"daily_mg":440.0,"dose_mg":110.0,"doses_per_day":4},"passed":true},{"actual":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"check":"daily ceiling limits large child","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":true},{"actual":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"check":"single-dose ceiling","expected":{"daily_mg":2000.0,"dose_mg":1000.0,"doses_per_day":2},"passed":true},{"actual":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"check":"rounding never exceeds calculated dose","expected":{"daily_mg":10.0,"dose_mg":10.0,"doses_per_day":1},"passed":true},{"actual":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"check":"twice daily control","expected":{"daily_mg":330.0,"dose_mg":165.0,"doses_per_day":2},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"every 8 hours normal order\", \"actual\": {\"doses_per_day\": 3, \"dose_mg\": 220.0, \"daily_mg\": 660.0}, \"expected\": {\"doses_per_day\": 3, \"dose_mg\": 220.0, \"daily_mg\": 660.0}, \"passed\": true}, {\"check\": \"every 6 hours with 2.5 mg steps\", \"actual\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"expected\": {\"doses_per_day\": 4, \"dose_mg\": 110.0, \"daily_mg\": 440.0}, \"passed\": true}, {\"check\": \"daily ceiling limits large child\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": true}, {\"check\": \"single-dose ceiling\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 1000.0, \"daily_mg\": 2000.0}, \"passed\": true}, {\"check\": \"rounding never exceeds calculated dose\", \"actual\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"expected\": {\"doses_per_day\": 1, \"dose_mg\": 10.0, \"daily_mg\": 10.0}, \"passed\": true}, {\"check\": \"twice daily control\", \"actual\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"expected\": {\"doses_per_day\": 2, \"dose_mg\": 165.0, \"daily_mg\": 330.0}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}