Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 3
GPT 5.6 Luna* · Single-turn · Task 3 (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 5000.02 5000.02 5000.02 5000.02
employee contribution 300.00 300.00 300.00 300.00
allowed deduction 0.00 0.00 0.00 0.00
taxable pay 4700.02 4700.02 4700.02 4700.02
income tax 472.00 472.00 472.00 472.00
net pay 4228.02 4228.02 4228.02 4228.02
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: {"713704016144c9f9-payroll": {"kind": "payroll", "record": {"gross_pay": "5000.02", "payroll_month": "2026-05", "allowed_deduction": "0.00"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.06", "cap": "5000.00", "deduction": "400.00", "free": "1100.00", "upper": "3300.00", "middle_rate": "0.10", "upper_rate": "0.18"}, "second-half": {"rate": "0.07", "cap": "4000.00", "deduction": "400.00", "free": "1100.00", "upper": "3600.00", "middle_rate": "0.12", "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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating tax details**

I need to calculate some tax details. For the first half, with a gross of 5000.02 and a rate of .06 capped at 5000, the contribution is 300.00. This leads to a taxable amount of 4700.02, with a tax-free portion of 1100. For the middle bracket, up to 3300, I calculate 2200*.10 = 220, while the upper portion is 1400.02*.18 = 252.00. Altogether, that makes the total tax 472.00. After deductions, the net comes to 4228.02. I need the JSON fields for this too.
Rollout #2 100.0% passed · 3.9s · $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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net earnings**

I need to calculate the earnings based on a gross amount of $5000.02 for the first half of May. The contribution is 6% of the minimum between $5000.02 and $5000, which gives me $300.00. There's no valid deduction, so the taxable income is $4700.02. The tax calculation is a bit complex: for the middle portion of $2200, I apply a 10% tax, while for the upper portion above $3300, I use an 18% rate. This results in a total tax of $472.00, leaving a net income of $4228.02.
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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating tax contributions**

I need to calculate the gross income, which is $5000.02 for the first half of May, with a tax rate of 6%. The contribution cap is $5000, resulting in a deduction of $300. The taxable amount would be $4700.02. The tax above the free amount (assuming $1100) breaks down to $220 on the upper rate and $252 on the upper excess. Finally, the net income stands at $4228.02 after deductions. I need to ensure I include clauses R1-R6 in the JSON format.