FA-59181 / Payroll withholding rules / Open access
Cumulative wages withholding method: annualization base · case 01
Employees on the cumulative method are withheld as if on the ordinary per-period method.
ROOT CAUSE
Only the current paycheck is annualized, ignoring year-to-date wages and elapsed periods.
VERIFIED REPAIR
Restore the contract rule at the annualization base step: use `annual = Fraction(total * x['periods'], k)`.
Unsuccessful approach: The attempt includes year-to-date wages but treats their sum as the annual figure without annualizing.
Case contract
Input {ytd_wages, ytd_wh, wage, period_index k (1-based, includes this period), periods}. Annualized = (ytd_wages + wage)*periods/k exactly. Annual tax: 0% to 10,000.00, 12% to 40,000.00, 24% above. Tax to date = annual tax * k/periods. Withholding = max(0, tax_to_date - ytd_wh) rounded half-up at the end.
Why this case matters
The cumulative method spreads irregular pay across elapsed periods and trues up against prior withholding.
1 / The failure
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
k = x['period_index']
total = x['ytd_wages'] + x['wage']
annual = Fraction(x['wage'] * x['periods'], 1)
def tax(a):
t = Fraction(0)
if a > 1000000:
t += (min(a, 4000000) - 1000000) * Fraction(12, 100)
if a > 4000000:
t += (a - 4000000) * Fraction(24, 100)
return t
due = tax(annual) * k / x['periods']
wh = max(0, due - x['ytd_wh'])
return math.floor(wh + Fraction(1, 2))
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('regression', {'ytd_wages': 2182615, 'ytd_wh': 379871, 'wage': 414670, 'period_index': 20, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('normal control', {'ytd_wages': 185427, 'ytd_wh': 36091, 'wage': 108159, 'period_index': 2, 'periods': 12}, 0), ('normal control', {'ytd_wages': 141603, 'ytd_wh': 11497, 'wage': 15563, 'period_index': 7, 'periods': 12}, 0), ('normal control', {'ytd_wages': 29165, 'ytd_wh': 3348, 'wage': 5167, 'period_index': 8, 'periods': 52}, 0), ('normal control', {'ytd_wages': 2675147, 'ytd_wh': 522064, 'wage': 171429, 'period_index': 26, 'periods': 26}, 0)], [('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('regression', {'ytd_wages': 3504142, 'ytd_wh': 423680, 'wage': 219362, 'period_index': 26, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('partial-repair probe', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('normal control', {'ytd_wages': 78474, 'ytd_wh': 12616, 'wage': 2681, 'period_index': 35, 'periods': 52}, 0), ('normal control', {'ytd_wages': 780083, 'ytd_wh': 115357, 'wage': 60520, 'period_index': 12, 'periods': 26}, 0), ('normal control', {'ytd_wages': 30504, 'ytd_wh': 1425, 'wage': 14017, 'period_index': 11, 'periods': 12}, 0), ('normal control', {'ytd_wages': 255421, 'ytd_wh': 47741, 'wage': 37513, 'period_index': 11, 'periods': 12}, 0)], [('regression', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('partial-repair probe', {'ytd_wages': 0, 'ytd_wh': 1, 'wage': 366567, 'period_index': 1, 'periods': 12}, 37975), ('partial-repair probe', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('normal control', {'ytd_wages': 4101816, 'ytd_wh': 781382, 'wage': 93819, 'period_index': 46, 'periods': 52}, 0), ('normal control', {'ytd_wages': 1734664, 'ytd_wh': 216863, 'wage': 75980, 'period_index': 15, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2864664, 'ytd_wh': 419863, 'wage': 94961, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 430759, 'ytd_wh': 55675, 'wage': 54560, 'period_index': 5, 'periods': 12}, 0)], [('regression', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 2724662, 'ytd_wh': 86701, 'wage': 332622, 'period_index': 7, 'periods': 52}, 566278), ('partial-repair probe', {'ytd_wages': 1665992, 'ytd_wh': 58323, 'wage': 387492, 'period_index': 4, 'periods': 12}, 234513), ('normal control', {'ytd_wages': 353147, 'ytd_wh': 9536, 'wage': 96030, 'period_index': 6, 'periods': 12}, 0), ('normal control', {'ytd_wages': 659564, 'ytd_wh': 7849, 'wage': 18236, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2446975, 'ytd_wh': 466368, 'wage': 202023, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 152088, 'ytd_wh': 11592, 'wage': 17915, 'period_index': 8, 'periods': 26}, 0)], [('regression', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('regression', {'ytd_wages': 953768, 'ytd_wh': 32122, 'wage': 67782, 'period_index': 21, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 17382079, 'ytd_wh': 703861, 'wage': 564605, 'period_index': 25, 'periods': 52}, 3314882), ('partial-repair probe', {'ytd_wages': 7572146, 'ytd_wh': 1352041, 'wage': 228907, 'period_index': 18, 'periods': 52}, 312519), ('normal control', {'ytd_wages': 2303411, 'ytd_wh': 406780, 'wage': 112030, 'period_index': 23, 'periods': 26}, 0), ('normal control', {'ytd_wages': 288287, 'ytd_wh': 41455, 'wage': 26146, 'period_index': 26, 'periods': 26}, 0), ('normal control', {'ytd_wages': 102743, 'ytd_wh': 20507, 'wage': 5626, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 1160977, 'ytd_wh': 199709, 'wage': 91537, 'period_index': 11, 'periods': 26}, 0)]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), 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 |
|---|---|---|---|
| regression 0 | 2129858 | 1110812 | Failed |
| regression 1 | 1149007 | 0 | Failed |
| partial-repair probe 2 | 2078481 | 1684840 | Failed |
| partial-repair probe 3 | 0 | 15666 | Failed |
| normal control 4 | 0 | 0 | Passed |
| normal control 5 | 0 | 0 | Passed |
| normal control 6 | 0 | 0 | Passed |
| normal control 7 | 0 | 0 | Passed |
SHA-256 / 15d58b90574151d6611b6583614581977923551c4f18d1c7fe7dbd913cbca943
2 / The unsuccessful fix
Exit 1"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
k = x['period_index']
total = x['ytd_wages'] + x['wage']
annual = Fraction(total * x['periods'], x['periods'])
def tax(a):
t = Fraction(0)
if a > 1000000:
t += (min(a, 4000000) - 1000000) * Fraction(12, 100)
if a > 4000000:
t += (a - 4000000) * Fraction(24, 100)
return t
due = tax(annual) * k / x['periods']
wh = max(0, due - x['ytd_wh'])
return math.floor(wh + Fraction(1, 2))
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('regression', {'ytd_wages': 2182615, 'ytd_wh': 379871, 'wage': 414670, 'period_index': 20, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('normal control', {'ytd_wages': 185427, 'ytd_wh': 36091, 'wage': 108159, 'period_index': 2, 'periods': 12}, 0), ('normal control', {'ytd_wages': 141603, 'ytd_wh': 11497, 'wage': 15563, 'period_index': 7, 'periods': 12}, 0), ('normal control', {'ytd_wages': 29165, 'ytd_wh': 3348, 'wage': 5167, 'period_index': 8, 'periods': 52}, 0), ('normal control', {'ytd_wages': 2675147, 'ytd_wh': 522064, 'wage': 171429, 'period_index': 26, 'periods': 26}, 0)], [('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('regression', {'ytd_wages': 3504142, 'ytd_wh': 423680, 'wage': 219362, 'period_index': 26, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('partial-repair probe', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('normal control', {'ytd_wages': 78474, 'ytd_wh': 12616, 'wage': 2681, 'period_index': 35, 'periods': 52}, 0), ('normal control', {'ytd_wages': 780083, 'ytd_wh': 115357, 'wage': 60520, 'period_index': 12, 'periods': 26}, 0), ('normal control', {'ytd_wages': 30504, 'ytd_wh': 1425, 'wage': 14017, 'period_index': 11, 'periods': 12}, 0), ('normal control', {'ytd_wages': 255421, 'ytd_wh': 47741, 'wage': 37513, 'period_index': 11, 'periods': 12}, 0)], [('regression', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('partial-repair probe', {'ytd_wages': 0, 'ytd_wh': 1, 'wage': 366567, 'period_index': 1, 'periods': 12}, 37975), ('partial-repair probe', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('normal control', {'ytd_wages': 4101816, 'ytd_wh': 781382, 'wage': 93819, 'period_index': 46, 'periods': 52}, 0), ('normal control', {'ytd_wages': 1734664, 'ytd_wh': 216863, 'wage': 75980, 'period_index': 15, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2864664, 'ytd_wh': 419863, 'wage': 94961, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 430759, 'ytd_wh': 55675, 'wage': 54560, 'period_index': 5, 'periods': 12}, 0)], [('regression', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 2724662, 'ytd_wh': 86701, 'wage': 332622, 'period_index': 7, 'periods': 52}, 566278), ('partial-repair probe', {'ytd_wages': 1665992, 'ytd_wh': 58323, 'wage': 387492, 'period_index': 4, 'periods': 12}, 234513), ('normal control', {'ytd_wages': 353147, 'ytd_wh': 9536, 'wage': 96030, 'period_index': 6, 'periods': 12}, 0), ('normal control', {'ytd_wages': 659564, 'ytd_wh': 7849, 'wage': 18236, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2446975, 'ytd_wh': 466368, 'wage': 202023, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 152088, 'ytd_wh': 11592, 'wage': 17915, 'period_index': 8, 'periods': 26}, 0)], [('regression', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('regression', {'ytd_wages': 953768, 'ytd_wh': 32122, 'wage': 67782, 'period_index': 21, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 17382079, 'ytd_wh': 703861, 'wage': 564605, 'period_index': 25, 'periods': 52}, 3314882), ('partial-repair probe', {'ytd_wages': 7572146, 'ytd_wh': 1352041, 'wage': 228907, 'period_index': 18, 'periods': 52}, 312519), ('normal control', {'ytd_wages': 2303411, 'ytd_wh': 406780, 'wage': 112030, 'period_index': 23, 'periods': 26}, 0), ('normal control', {'ytd_wages': 288287, 'ytd_wh': 41455, 'wage': 26146, 'period_index': 26, 'periods': 26}, 0), ('normal control', {'ytd_wages': 102743, 'ytd_wh': 20507, 'wage': 5626, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 1160977, 'ytd_wh': 199709, 'wage': 91537, 'period_index': 11, 'periods': 26}, 0)]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), 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 |
|---|---|---|---|
| regression 0 | 134909 | 1110812 | Failed |
| regression 1 | 0 | 0 | Passed |
| partial-repair probe 2 | 1310987 | 1684840 | Failed |
| partial-repair probe 3 | 0 | 15666 | Failed |
| normal control 4 | 0 | 0 | Passed |
| normal control 5 | 0 | 0 | Passed |
| normal control 6 | 0 | 0 | Passed |
| normal control 7 | 0 | 0 | Passed |
SHA-256 / 24b976c9fb617c992b292736ea31387dba640aaff4acb09c828b7c0a3d3ceb0e
3 / The verified repair
Exit 0"""Failure Map reference implementation. Python standard library only."""
import json
from fractions import Fraction
import math
N = 1
observations = []
def solve(x):
k = x['period_index']
total = x['ytd_wages'] + x['wage']
annual = Fraction(total * x['periods'], k)
def tax(a):
t = Fraction(0)
if a > 1000000:
t += (min(a, 4000000) - 1000000) * Fraction(12, 100)
if a > 4000000:
t += (a - 4000000) * Fraction(24, 100)
return t
due = tax(annual) * k / x['periods']
wh = max(0, due - x['ytd_wh'])
return math.floor(wh + Fraction(1, 2))
def check(label, actual, expected):
observations.append({"check": label, "actual": actual, "expected": expected, "passed": actual == expected})
fixtures = [[('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('regression', {'ytd_wages': 2182615, 'ytd_wh': 379871, 'wage': 414670, 'period_index': 20, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('normal control', {'ytd_wages': 185427, 'ytd_wh': 36091, 'wage': 108159, 'period_index': 2, 'periods': 12}, 0), ('normal control', {'ytd_wages': 141603, 'ytd_wh': 11497, 'wage': 15563, 'period_index': 7, 'periods': 12}, 0), ('normal control', {'ytd_wages': 29165, 'ytd_wh': 3348, 'wage': 5167, 'period_index': 8, 'periods': 52}, 0), ('normal control', {'ytd_wages': 2675147, 'ytd_wh': 522064, 'wage': 171429, 'period_index': 26, 'periods': 26}, 0)], [('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('regression', {'ytd_wages': 3504142, 'ytd_wh': 423680, 'wage': 219362, 'period_index': 26, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('partial-repair probe', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('normal control', {'ytd_wages': 78474, 'ytd_wh': 12616, 'wage': 2681, 'period_index': 35, 'periods': 52}, 0), ('normal control', {'ytd_wages': 780083, 'ytd_wh': 115357, 'wage': 60520, 'period_index': 12, 'periods': 26}, 0), ('normal control', {'ytd_wages': 30504, 'ytd_wh': 1425, 'wage': 14017, 'period_index': 11, 'periods': 12}, 0), ('normal control', {'ytd_wages': 255421, 'ytd_wh': 47741, 'wage': 37513, 'period_index': 11, 'periods': 12}, 0)], [('regression', {'ytd_wages': 8775450, 'ytd_wh': 1616919, 'wage': 334681, 'period_index': 24, 'periods': 26}, 15666), ('regression', {'ytd_wages': 7060061, 'ytd_wh': 424656, 'wage': 491569, 'period_index': 24, 'periods': 52}, 1110812), ('partial-repair probe', {'ytd_wages': 0, 'ytd_wh': 1, 'wage': 366567, 'period_index': 1, 'periods': 12}, 37975), ('partial-repair probe', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('normal control', {'ytd_wages': 4101816, 'ytd_wh': 781382, 'wage': 93819, 'period_index': 46, 'periods': 52}, 0), ('normal control', {'ytd_wages': 1734664, 'ytd_wh': 216863, 'wage': 75980, 'period_index': 15, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2864664, 'ytd_wh': 419863, 'wage': 94961, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 430759, 'ytd_wh': 55675, 'wage': 54560, 'period_index': 5, 'periods': 12}, 0)], [('regression', {'ytd_wages': 6145936, 'ytd_wh': 219937, 'wage': 315568, 'period_index': 15, 'periods': 52}, 1157747), ('regression', {'ytd_wages': 9590400, 'ytd_wh': 237513, 'wage': 534789, 'period_index': 22, 'periods': 26}, 1684840), ('partial-repair probe', {'ytd_wages': 2724662, 'ytd_wh': 86701, 'wage': 332622, 'period_index': 7, 'periods': 52}, 566278), ('partial-repair probe', {'ytd_wages': 1665992, 'ytd_wh': 58323, 'wage': 387492, 'period_index': 4, 'periods': 12}, 234513), ('normal control', {'ytd_wages': 353147, 'ytd_wh': 9536, 'wage': 96030, 'period_index': 6, 'periods': 12}, 0), ('normal control', {'ytd_wages': 659564, 'ytd_wh': 7849, 'wage': 18236, 'period_index': 20, 'periods': 26}, 0), ('normal control', {'ytd_wages': 2446975, 'ytd_wh': 466368, 'wage': 202023, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 152088, 'ytd_wh': 11592, 'wage': 17915, 'period_index': 8, 'periods': 26}, 0)], [('regression', {'ytd_wages': 4585857, 'ytd_wh': 265867, 'wage': 360821, 'period_index': 12, 'periods': 26}, 644413), ('regression', {'ytd_wages': 953768, 'ytd_wh': 32122, 'wage': 67782, 'period_index': 21, 'periods': 26}, 0), ('partial-repair probe', {'ytd_wages': 17382079, 'ytd_wh': 703861, 'wage': 564605, 'period_index': 25, 'periods': 52}, 3314882), ('partial-repair probe', {'ytd_wages': 7572146, 'ytd_wh': 1352041, 'wage': 228907, 'period_index': 18, 'periods': 52}, 312519), ('normal control', {'ytd_wages': 2303411, 'ytd_wh': 406780, 'wage': 112030, 'period_index': 23, 'periods': 26}, 0), ('normal control', {'ytd_wages': 288287, 'ytd_wh': 41455, 'wage': 26146, 'period_index': 26, 'periods': 26}, 0), ('normal control', {'ytd_wages': 102743, 'ytd_wh': 20507, 'wage': 5626, 'period_index': 12, 'periods': 12}, 0), ('normal control', {'ytd_wages': 1160977, 'ytd_wh': 199709, 'wage': 91537, 'period_index': 11, 'periods': 26}, 0)]]
for i, (label, args, expected) in enumerate(fixtures[N-1]):
check("%s %d" % (label, i), 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 |
|---|---|---|---|
| regression 0 | 1110812 | 1110812 | Passed |
| regression 1 | 0 | 0 | Passed |
| partial-repair probe 2 | 1684840 | 1684840 | Passed |
| partial-repair probe 3 | 15666 | 15666 | Passed |
| normal control 4 | 0 | 0 | Passed |
| normal control 5 | 0 | 0 | Passed |
| normal control 6 | 0 | 0 | Passed |
| normal control 7 | 0 | 0 | Passed |
SHA-256 / d96854553043601d4c7932e5b7206b9ff7b6231d0d6b331bf1c789d65ce7ffb5
Verification & scope
A deterministic teaching model of a stipulated payroll rule with toy thresholds and rates. It makes no claim of conformance to any tax authority, statute or jurisdiction and is not payroll software. 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 2026-09-29T14:46:33.814756+00:00.
Case digest / aea40d9a756868f3042e7c1dcb5225076c7b5060d059149636a9ed109020395c