Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 43
GPT 5.6 Luna* · Single-turn · Task 43 (Calculation, at the upper bracket line) 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 3260.87 3260.87 3260.87 3260.87
employee contribution 260.87 260.87 260.87 260.87
allowed deduction 0.00 0.00 0.00 0.00
taxable pay 3000.00 3000.00 3000.00 3000.00
income tax 190.00 190.00 190.00 190.00
net pay 2810.00 2810.00 2810.00 2810.00
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: {"266ad92a0f7f5085-payroll": {"kind": "payroll", "record": {"gross_pay": "3260.87", "payroll_month": "2026-08", "allowed_deduction": "0.00"}}, "266ad92a0f7f5085-contract": {"kind": "contract", "gross_pay": "3260.87"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "4500.00", "deduction": "400.00", "free": "1200.00", "upper": "2800.00", "middle_rate": "0.08", "upper_rate": "0.18"}, "second-half": {"rate": "0.08", "cap": "5000.00", "deduction": "400.00", "free": "1100.00", "upper": "3000.00", "middle_rate": "0.10", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 3.4s · $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": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "2810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net income**

I need to compute the figures for the second half of August. Starting with a gross income of 3260.87, I calculate the contribution as 0.08 times the minimum gross cap, which rounds to 260.87. Then, if I deduct that from the gross, I’m left with a taxable amount of 3000. For taxes, the first 1100 is free, and the next up to 3000 is taxed, totaling 190. My final net income is 2810.00, and I need those exact fields in JSON format.
Rollout #2 100.0% 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": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "2810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and taxes**

I need to calculate for the second half of August. The gross amount is $3,260.87. I’ll consider an 8% contribution on the minimum gross calculated up to a cap of $5,000, which gives me about $260.87 after rounding. Deducting $0 for taxable income results in an exact $3,000. Tax-free income is $1,100, and calculating for the middle to upper range gives $1,900 on tax at 10%, which totals $190. After deducting everything, the net is $2,810. I also need to format this in JSON.
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": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "2810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net income**

I need to calculate based on the figures provided for the second half of August. The gross amount is 3260.87. First, I find the contribution by multiplying 0.08 by the minimum gross of 5000, which gives me about 260.87. After deductions, I find the taxable income, which is around 3000. Then, applying the tax-free limit of 1100 and calculating the remaining amount leads to a net income of 2810.00. I also should review the clauses R1-R6 for any additional fields needed.