FA-97106 / Recipe scaling and nutrition / Open access
High-altitude baking adjuster: oven temperature bump · case 01
At 8000 ft the oven is raised 45 F.
ROOT CAUSE
The oven bump is multiplied by the level instead of being a single step.
THE FAILURE
The oven bump is multiplied by the level instead of being a single step.
Unsuccessful approach: Giving level 2 the 25 F bump overheats mid-altitude bakes.
Case contract
Level 0 below 3000 ft, 1 for 3000-4999, 2 for 5000-6999, 3 at 7000+. Baking powder times (1-level/8); sugar times (1-level/16) (1 tbsp per cup per level); liquid times (1+3*level/32) (1.5 tbsp per cup per level); oven +15 F at levels 1-2 and +25 F at level 3. Amounts are fraction strings in and exact str(Fraction) out.
Why this case matters
Cake and quick-bread recipes need leavening, sugar, liquid and temperature changes at elevation.
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(altitude_ft, recipe):
if altitude_ft < 3000:
level = 0
elif altitude_ft < 5000:
level = 1
elif altitude_ft < 7000:
level = 2
else:
level = 3
bp = Fraction(recipe['baking_powder_tsp'])
sugar = Fraction(recipe['sugar_cups'])
liquid = Fraction(recipe['liquid_cups'])
bp = bp * (1 - Fraction(level, 8))
sugar = sugar * (1 - Fraction(level, 16))
liquid = liquid * (1 + Fraction(3 * level, 32))
oven = recipe['oven_f'] + 15 * level
return {'level': level, 'baking_powder_tsp': str(bp), 'sugar_cups': str(sugar),
'liquid_cups': str(liquid), 'oven_f': oven}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['regression: oven temperature bump',
[9000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '39/64'}],
['repair check: oven temperature bump',
[6500, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 340, 'sugar_cups': '21/32'}],
['generated control 1',
[0, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
['generated control 2',
[3500, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'}],
['generated control 3',
[7000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '13/16'}]],
[['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['regression: oven temperature bump',
[7000, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '15/16', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 400, 'sugar_cups': '13/16'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 340, 'sugar_cups': '7/16'}],
['generated control 1',
[0, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1'}],
['generated control 2',
[0, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
['generated control 3',
[4999, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 390, 'sugar_cups': '15/32'}]],
[['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['regression: oven temperature bump',
[7000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '39/64'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/8', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 365, 'sugar_cups': '21/32'}],
['generated control 1',
[3000, {'baking_powder_tsp': '3/2', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '21/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 390, 'sugar_cups': '15/8'}],
['generated control 2',
[3500, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 340, 'sugar_cups': '45/64'}],
['generated control 3',
[5000, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/8', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/16'}]],
[['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['regression: oven temperature bump',
[9000, {'baking_powder_tsp': '2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 365, 'sugar_cups': '7/16'}],
['generated control 1',
[7000, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
['generated control 2',
[7000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '39/64'}],
['generated control 3',
[3500, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 365, 'sugar_cups': '45/64'}]],
[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['regression: oven temperature bump',
[6999, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/4'}],
['repair check: oven temperature bump',
[6999, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '7/8'}],
['generated control 1',
[3500, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 340, 'sugar_cups': '45/64'}],
['generated control 2',
[3000, {'baking_powder_tsp': '3/2', 'liquid_cups': '1', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '21/16', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 390, 'sugar_cups': '15/32'}],
['generated control 3',
[2999, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}]]]
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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| sea level | {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'} | {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'} | Passed |
| threshold 3000 | {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'} | {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'} | Passed |
| level two | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 405, 'sugar_cups': '7/4'} | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'} | Failed |
| regression: oven temperature bump | {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 395, 'sugar_cups': '39/64'} | {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '39/64'} | Failed |
| repair check: oven temperature bump | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 355, 'sugar_cups': '21/32'} | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 340, 'sugar_cups': '21/32'} | Failed |
| generated control 1 | {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'} | {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'} | Passed |
| generated control 2 | {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'} | {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'} | Passed |
| generated control 3 | {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 395, 'sugar_cups': '13/16'} | {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '13/16'} | Failed |
SHA-256 / 66735842198faa45c1243425ecc7e14021ebe8268a401d7520b1cb8788dc1798
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(altitude_ft, recipe):
if altitude_ft < 3000:
level = 0
elif altitude_ft < 5000:
level = 1
elif altitude_ft < 7000:
level = 2
else:
level = 3
bp = Fraction(recipe['baking_powder_tsp'])
sugar = Fraction(recipe['sugar_cups'])
liquid = Fraction(recipe['liquid_cups'])
bp = bp * (1 - Fraction(level, 8))
sugar = sugar * (1 - Fraction(level, 16))
liquid = liquid * (1 + Fraction(3 * level, 32))
oven = recipe['oven_f'] + (0 if level == 0 else 25 if level >= 2 else 15)
return {'level': level, 'baking_powder_tsp': str(bp), 'sugar_cups': str(sugar),
'liquid_cups': str(liquid), 'oven_f': oven}
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['regression: oven temperature bump',
[9000, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '39/64'}],
['repair check: oven temperature bump',
[6500, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 340, 'sugar_cups': '21/32'}],
['generated control 1',
[0, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
['generated control 2',
[3500, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'}],
['generated control 3',
[7000, {'baking_powder_tsp': '1/2', 'liquid_cups': '1/2', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '13/16'}]],
[['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['regression: oven temperature bump',
[7000, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '15/16', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 400, 'sugar_cups': '13/16'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 340, 'sugar_cups': '7/16'}],
['generated control 1',
[0, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1/2', 'level': 0, 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '1'}],
['generated control 2',
[0, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
['generated control 3',
[4999, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 390, 'sugar_cups': '15/32'}]],
[['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['regression: oven temperature bump',
[7000, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '123/128', 'oven_f': 350, 'sugar_cups': '39/64'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '3/8', 'level': 2, 'liquid_cups': '19/12', 'oven_f': 365, 'sugar_cups': '21/32'}],
['generated control 1',
[3000, {'baking_powder_tsp': '3/2', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '21/16', 'level': 1, 'liquid_cups': '35/64', 'oven_f': 390, 'sugar_cups': '15/8'}],
['generated control 2',
[3500, {'baking_powder_tsp': '1/2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/16', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 340, 'sugar_cups': '45/64'}],
['generated control 3',
[5000, {'baking_powder_tsp': '1/2', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/8', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/16'}]],
[['mountain', [8000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '13/16'}],
['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['regression: oven temperature bump',
[9000, {'baking_powder_tsp': '2', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
['repair check: oven temperature bump',
[5000, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 365, 'sugar_cups': '7/16'}],
['generated control 1',
[7000, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/24', 'oven_f': 350, 'sugar_cups': '13/16'}],
['generated control 2',
[7000, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '5/8', 'level': 3, 'liquid_cups': '41/32', 'oven_f': 375, 'sugar_cups': '39/64'}],
['generated control 3',
[3500, {'baking_powder_tsp': '2', 'liquid_cups': '3/4', 'oven_f': 350, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 365, 'sugar_cups': '45/64'}]],
[['sea level', [0, {'baking_powder_tsp': '1', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
['threshold 3000', [3000, {'baking_powder_tsp': '2', 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'}],
{'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'}],
['level two', [5000, {'baking_powder_tsp': '1', 'liquid_cups': '1/2', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'}],
['regression: oven temperature bump',
[6999, {'baking_powder_tsp': '1', 'liquid_cups': '3/4', 'oven_f': 375, 'sugar_cups': '2'}],
{'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '57/64', 'oven_f': 390, 'sugar_cups': '7/4'}],
['repair check: oven temperature bump',
[6999, {'baking_powder_tsp': '2', 'liquid_cups': '1/2', 'oven_f': 325, 'sugar_cups': '1'}],
{'baking_powder_tsp': '3/2', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 340, 'sugar_cups': '7/8'}],
['generated control 1',
[3500, {'baking_powder_tsp': '1', 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'}],
{'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '35/24', 'oven_f': 340, 'sugar_cups': '45/64'}],
['generated control 2',
[3000, {'baking_powder_tsp': '3/2', 'liquid_cups': '1', 'oven_f': 375, 'sugar_cups': '1/2'}],
{'baking_powder_tsp': '21/16', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 390, 'sugar_cups': '15/32'}],
['generated control 3',
[2999, {'baking_powder_tsp': '3/2', 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}],
{'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 375, 'sugar_cups': '1'}]]]
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 fixture | Actual | Expected | Outcome |
|---|---|---|---|
| sea level | {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'} | {'baking_powder_tsp': '1', 'level': 0, 'liquid_cups': '1', 'oven_f': 350, 'sugar_cups': '1'} | Passed |
| threshold 3000 | {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'} | {'baking_powder_tsp': '7/4', 'level': 1, 'liquid_cups': '35/32', 'oven_f': 365, 'sugar_cups': '15/16'} | Passed |
| level two | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 400, 'sugar_cups': '7/4'} | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/32', 'oven_f': 390, 'sugar_cups': '7/4'} | Failed |
| regression: oven temperature bump | {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '39/64'} | {'baking_powder_tsp': '5/4', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '39/64'} | Passed |
| repair check: oven temperature bump | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 350, 'sugar_cups': '21/32'} | {'baking_powder_tsp': '3/4', 'level': 2, 'liquid_cups': '19/16', 'oven_f': 340, 'sugar_cups': '21/32'} | Failed |
| generated control 1 | {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'} | {'baking_powder_tsp': '3/2', 'level': 0, 'liquid_cups': '4/3', 'oven_f': 325, 'sugar_cups': '3/4'} | Passed |
| generated control 2 | {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'} | {'baking_powder_tsp': '7/8', 'level': 1, 'liquid_cups': '105/128', 'oven_f': 390, 'sugar_cups': '15/16'} | Passed |
| generated control 3 | {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '13/16'} | {'baking_powder_tsp': '5/16', 'level': 3, 'liquid_cups': '41/64', 'oven_f': 375, 'sugar_cups': '13/16'} | Passed |
SHA-256 / 28d7809f4bdb8189ea872cae86b2547305403f3213c91a4cfe3086489bd7a5cc
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The verified repair and its recorded checks are member-only.
This mechanism has 8 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.
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Sign in to the archive ↗Verification & scope
A deterministic toy contract stated in full here; it is a bounded teaching model, not an authoritative reference or standards implementation. 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 2026-09-29T14:52:28.909674+00:00.
Case digest / 6efd73ceeceb664e248e781205d34b5053d1c8f518ce4284da1dcd6c7dd169dc