Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 15
GPT 5.6 Luna* · Single-turn · Task 15 (Calculation, half-cent rounding tie) Mean 100.0%
Field Expected Rollout #1 (100%) Rollout #2 (100%) Rollout #3 (100%)
decision calculate calculate calculate calculate
currency LCR LCR LCR LCR
gross pay 3872.25 3872.25 3872.25 3872.25
employee contribution 232.34 232.34 232.34 232.34
allowed deduction 61.98 61.98 61.98 61.98
taxable pay 3577.93 3577.93 3577.93 3577.93
income tax 388.70 388.70 388.70 388.70
net pay 3189.23 3189.23 3189.23 3189.23
clauses R1 R2 R3 R4 R5 R6 R1 R2 R3 R4 R5 R6 R1 R2 R3 R4 R5 R6 R1 R2 R3 R4 R5 R6
Prompt
Process this monthly payroll record under the supplied rulebook. Return the R6 or R7 JSON answer.
Source documents: {"35d44967e5524da6-payroll": {"kind": "payroll", "record": {"gross_pay": "3872.25", "payroll_month": "2026-04", "allowed_deduction": "61.98"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.06", "cap": "4000.00", "deduction": "400.00", "free": "1000.00", "upper": "3300.00", "middle_rate": "0.14", "upper_rate": "0.24"}, "second-half": {"rate": "0.08", "cap": "4000.00", "deduction": "400.00", "free": "1100.00", "upper": "2800.00", "middle_rate": "0.14", "upper_rate": "0.18"}}
Rollouts
Rollout #1 100.0% passed · 4.1s · $0.0004
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6
exact 100.0% R1 R2 R3 R4 R5 R6
field accuracy 100.0% R1 R2 R3 R4 R5 R6
citations 100.0% R1 R2 R3 R4 R5 R6
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3872.25",
  "employee_contribution": "232.34",
  "allowed_deduction": "61.98",
  "taxable_pay": "3577.93",
  "income_tax": "388.70",
  "net_pay": "3189.23",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and taxes**

I need to calculate the first half of the month’s gross income, which is $3872.25. For contributions, I calculate 0.06 times the lesser of $3872.25 or $4000, which gives me $232.34 after rounding. After deductions, I arrive at a taxable amount of $3577.93. For tax calculations, I analyze the segments and find a total tax of $388.70, leading to a net income of $3189.23. Now, I need to format this in JSON.
Rollout #2 100.0% passed · 4.5s · $0.0004
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6
exact 100.0% R1 R2 R3 R4 R5 R6
field accuracy 100.0% R1 R2 R3 R4 R5 R6
citations 100.0% R1 R2 R3 R4 R5 R6
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3872.25",
  "employee_contribution": "232.34",
  "allowed_deduction": "61.98",
  "taxable_pay": "3577.93",
  "income_tax": "388.70",
  "net_pay": "3189.23",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net income and tax**

I need to make some calculations for the first half of the month's schedule. Starting with a gross of 3872.25, the contribution amounts to 232.34 after applying a 0.06 rate on the first 4000. The taxable income is 3577.93, and the tax needs to be calculated based on specific income brackets. After working through the tax steps, I find that the net income comes to approximately 3189.23. Now, I’ll put together the necessary clauses in JSON format.
Rollout #3 100.0% passed · 4.7s · $0.0003
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6
exact 100.0% R1 R2 R3 R4 R5 R6
field accuracy 100.0% R1 R2 R3 R4 R5 R6
citations 100.0% R1 R2 R3 R4 R5 R6
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3872.25",
  "employee_contribution": "232.34",
  "allowed_deduction": "61.98",
  "taxable_pay": "3577.93",
  "income_tax": "388.70",
  "net_pay": "3189.23",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and taxes**

I need to calculate some financial figures. The gross income is $3872.25. First, I calculate the contribution, which is 0.06 times the gross, resulting in $232.34 when rounded. The deduction is $61.98, leading to a taxable income of $3577.93 after these deductions. Next, I apply the tax: the first $1000 is free, then I have $2300 taxed at 14%, and the excess $277.93 taxed at 24%. This brings the total tax to $388.70, leaving a net income of $3189.23. I’ll need to ensure I have the exact JSON fields for Clauses R1-R6.