FAILURE MAP
← Case archive

FA-64831 / Clinical triage scoring / Open access

Acute asthma severity from peak flow and signs: acute severe peak flow edge · case 01

A peak flow of exactly 50% is graded moderate.

Verified by executionVariant 1 · 10 checks per implementationDownload source bundle ↓JSON ↗

ROOT CAUSE

The acute severe band excludes 50%.

THE FAILURE

The acute severe band excludes 50%.

Unsuccessful approach: Requiring tachypnoea as well removes peak flow as an independent criterion.

Case contract

Input {pef, best (best or predicted PEF), spo2, sentences (can complete sentences), rr, hr, age}. pct = pef*100/best. Toy classification: LIFE_THREATENING when pct < 33 or spo2 < 92; ACUTE_SEVERE when pct <= 50, rr >= 25, hr >= 110 or sentences cannot be completed; MODERATE when pct <= 75; else MILD. Return {pct (1 dp), severity}.

Why this case matters

Severity grading from a percentage of best peak flow mixes ratio arithmetic with or-combined bedside signs.

1 / The failure

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    pct = Fraction(x['pef'] * 100, x['best'])
    if pct < 33 or x['spo2'] < 92:
        sev = 'LIFE_THREATENING'
    elif pct < 50 or x['rr'] >= 25 or x['hr'] >= 110 or not x['sentences']:
        sev = 'ACUTE_SEVERE'
    elif pct <= 75:
        sev = 'MODERATE'
    else:
        sev = 'MILD'
    return {'pct': round(float(pct), 1), 'severity': sev}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('mild control',
   {'pef': 430, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 86.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 310, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 62.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 91, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 19, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 331, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.2, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 26, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 11},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 116, 'age': 6},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 401, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.2, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 110, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 24.4, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 440, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 88.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 320, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 64.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 92, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 20, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 332, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.4, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 27, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 12},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 117, 'age': 7},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 402, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.4, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 120, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 26.7, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 450, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 90.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 330, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 93, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 21, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 333, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.6, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 28, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 13},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 118, 'age': 8},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 403, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.6, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 130, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 28.9, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 460, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 92.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 340, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 68.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 94, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 22, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 334, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.8, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 29, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 14},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 119, 'age': 9},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 404, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.8, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 140, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 31.1, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 470, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 94.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 95, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 23, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 335, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 67.0, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 30, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 15},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 120, 'age': 10},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 405, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 81.0, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 150, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 33.3, 'severity': 'ACUTE_SEVERE'})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
mild control{'pct': 86.0, 'severity': 'MILD'}{'pct': 86.0, 'severity': 'MILD'}Passed
moderate{'pct': 62.0, 'severity': 'MODERATE'}{'pct': 62.0, 'severity': 'MODERATE'}Passed
exactly 50 percent{'pct': 50.0, 'severity': 'MODERATE'}{'pct': 50.0, 'severity': 'ACUTE_SEVERE'}Failed
exactly 33 percent{'pct': 33.0, 'severity': 'ACUTE_SEVERE'}{'pct': 33.0, 'severity': 'ACUTE_SEVERE'}Passed
hypoxic with fair peak flow{'pct': 66.2, 'severity': 'LIFE_THREATENING'}{'pct': 66.2, 'severity': 'LIFE_THREATENING'}Passed
severe by rate alone{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}Passed
heart rate exactly 110{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}Passed
tachycardic child{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}Passed
cannot finish sentences{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}Passed
below one third{'pct': 24.4, 'severity': 'LIFE_THREATENING'}{'pct': 24.4, 'severity': 'LIFE_THREATENING'}Passed

SHA-256 / 6093f49bef1daf6a4e7150fd8d680caac2c2d987f23d899e473954c6f10384b6

2 / The unsuccessful fix

Exit 1
"""Failure Map reference implementation. Python standard library only."""
import json
import math
from fractions import Fraction
N = 1
observations = []
def solve(x):
    pct = Fraction(x['pef'] * 100, x['best'])
    if pct < 33 or x['spo2'] < 92:
        sev = 'LIFE_THREATENING'
    elif (pct <= 50 and x['rr'] >= 25) or x['rr'] >= 25 or x['hr'] >= 110 or not x['sentences']:
        sev = 'ACUTE_SEVERE'
    elif pct <= 75:
        sev = 'MODERATE'
    else:
        sev = 'MILD'
    return {'pct': round(float(pct), 1), 'severity': sev}
def check(label, actual, expected):
    observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('mild control',
   {'pef': 430, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 86.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 310, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 62.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 91, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 19, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 331, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.2, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 26, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 11},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 116, 'age': 6},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 401, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.2, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 110, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 24.4, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 440, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 88.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 320, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 64.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 92, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 20, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 332, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.4, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 27, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 12},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 117, 'age': 7},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 402, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.4, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 120, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 26.7, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 450, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 90.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 330, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 93, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 21, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 333, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.6, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 28, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 13},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 118, 'age': 8},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 403, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.6, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 130, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 28.9, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 460, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 92.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 340, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 68.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 94, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 22, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 334, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 66.8, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 29, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 14},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 119, 'age': 9},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 404, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 80.8, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 140, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 31.1, 'severity': 'LIFE_THREATENING'})],
 [('mild control',
   {'pef': 470, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 94.0, 'severity': 'MILD'}),
  ('moderate',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'MODERATE'}),
  ('exactly 50 percent',
   {'pef': 250, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 95, 'age': 30},
   {'pct': 50.0, 'severity': 'ACUTE_SEVERE'}),
  ('exactly 33 percent',
   {'pef': 165, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 23, 'hr': 90, 'age': 30},
   {'pct': 33.0, 'severity': 'ACUTE_SEVERE'}),
  ('hypoxic with fair peak flow',
   {'pef': 335, 'best': 500, 'spo2': 90, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 67.0, 'severity': 'LIFE_THREATENING'}),
  ('severe by rate alone',
   {'pef': 350, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 30, 'hr': 90, 'age': 30},
   {'pct': 70.0, 'severity': 'ACUTE_SEVERE'}),
  ('heart rate exactly 110',
   {'pef': 360, 'best': 500, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 110, 'age': 15},
   {'pct': 72.0, 'severity': 'ACUTE_SEVERE'}),
  ('tachycardic child',
   {'pef': 200, 'best': 250, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 120, 'age': 10},
   {'pct': 80.0, 'severity': 'ACUTE_SEVERE'}),
  ('cannot finish sentences',
   {'pef': 405, 'best': 500, 'spo2': 97, 'sentences': False, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 81.0, 'severity': 'ACUTE_SEVERE'}),
  ('below one third',
   {'pef': 150, 'best': 450, 'spo2': 97, 'sentences': True, 'rr': 18, 'hr': 90, 'age': 30},
   {'pct': 33.3, 'severity': 'ACUTE_SEVERE'})]]
for label, args, expected in fixtures[N-1]:
    check(label, solve(args), expected)
print(json.dumps({"observations": observations, "passed": all(x["passed"] for x in observations)}, ensure_ascii=False))
raise SystemExit(0 if all(x["passed"] for x in observations) else 1)
Boundary fixtureActualExpectedOutcome
mild control{'pct': 86.0, 'severity': 'MILD'}{'pct': 86.0, 'severity': 'MILD'}Passed
moderate{'pct': 62.0, 'severity': 'MODERATE'}{'pct': 62.0, 'severity': 'MODERATE'}Passed
exactly 50 percent{'pct': 50.0, 'severity': 'MODERATE'}{'pct': 50.0, 'severity': 'ACUTE_SEVERE'}Failed
exactly 33 percent{'pct': 33.0, 'severity': 'MODERATE'}{'pct': 33.0, 'severity': 'ACUTE_SEVERE'}Failed
hypoxic with fair peak flow{'pct': 66.2, 'severity': 'LIFE_THREATENING'}{'pct': 66.2, 'severity': 'LIFE_THREATENING'}Passed
severe by rate alone{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}{'pct': 70.0, 'severity': 'ACUTE_SEVERE'}Passed
heart rate exactly 110{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}{'pct': 72.0, 'severity': 'ACUTE_SEVERE'}Passed
tachycardic child{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}{'pct': 80.0, 'severity': 'ACUTE_SEVERE'}Passed
cannot finish sentences{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}{'pct': 80.2, 'severity': 'ACUTE_SEVERE'}Passed
below one third{'pct': 24.4, 'severity': 'LIFE_THREATENING'}{'pct': 24.4, 'severity': 'LIFE_THREATENING'}Passed

SHA-256 / 63cfe85fabb44ffceaf6617b0ccddb007152cb9e13e3ea8ea81bae002f592e51

HELD IN THE MEMBER ARCHIVE

The verified repair and its recorded checks are member-only.

This mechanism has 10 recorded checks per implementation. The open-access tier publishes the failure and the unsuccessful fix; the repaired source that passes every check, and the observations that prove it, are available to members.

Every case sharing this mechanism uses the same contract and the same repair, so this one record is held back for all of them.

Member access is invitation-based. Sign in with your invited account to inspect the repair.

Sign in to the archive ↗

Verification & scope

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.

Observations recorded using Python 3.12.14 at 2026-09-29T14:47:28.240813+00:00.

Case digest / 56ad014e50ce870751c2787baed9af9906790dc49a644a474378e041a8f6f87b