Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 90
GPT 5.6 Luna* · Single-turn · Task 90 (Calculation, at the wage cap) 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 4999.99 4999.99 4999.99 4999.99
employee contribution 350.00 350.00 350.00 350.00
allowed deduction 355.71 355.71 355.71 355.71
taxable pay 4294.28 4294.28 4294.28 4294.28
income tax 536.74 536.74 536.74 536.74
net pay 3757.54 3757.54 3757.54 3757.54
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: {"9aeda9b75546629e-payroll": {"kind": "payroll", "record": {"gross_pay": "4999.99", "payroll_month": "2026-02", "allowed_deduction": "355.71"}}, "9aeda9b75546629e-contract": {"kind": "contract", "gross_pay": "4999.99"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "5000.00", "deduction": "400.00", "free": "900.00", "upper": "3000.00", "middle_rate": "0.12", "upper_rate": "0.22"}, "second-half": {"rate": "0.06", "cap": "5000.00", "deduction": "400.00", "free": "1000.00", "upper": "2800.00", "middle_rate": "0.08", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 3.7s · $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": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "355.71",
  "taxable_pay": "4294.28",
  "income_tax": "536.74",
  "net_pay": "3757.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net income**

I need to go through some calculations. First, I check the gross amount and find the contribution is approximately $350. The deduction is below the cap, and based on that, I can determine the taxable income. After calculating the tax rates for various income portions, I end up with a total tax of around $536.74. So, the net income is around $3757.54. I also need to make sure to format this in the exact JSON fields required.
Rollout #2 100.0% passed · 3.8s · $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": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "355.71",
  "taxable_pay": "4294.28",
  "income_tax": "536.74",
  "net_pay": "3757.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and taxes**

I need to validate that deductions are within the cap of 400 and the gross contribution. For contributions from January to June, it's 0.07 times the minimum of 4999.99 and 5000, which rounds to 350. The deduction is 355.71, which is valid as it's less than or equal to 400, with an available amount of 4649.99. I then calculate the taxable amount and apply tax rates for different income brackets before determining the net amount. Finally, I need to ensure I format this in JSON correctly.
Rollout #3 100.0% passed · 4.1s · $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": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "355.71",
  "taxable_pay": "4294.28",
  "income_tax": "536.74",
  "net_pay": "3757.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating tax deductions and net income**

I need to do some calculations starting with the gross amount of $4,999.99. The contribution is 0.07 times the minimum of $4,999.99 and $5,000, which gives me $350 when rounded up. The deduction of $355.71 is valid as it’s less than the cap of $400. After subtracting these amounts, I find the taxable income and calculate the tax, which totals $536.74. This leaves the net income at $3,757.54. I must ensure all fields are accurate.