Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 24
GPT 5.6 Luna* · Single-turn · Task 24 (Calculation, at the wage cap, resolved amendment) 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 264.22 264.22 264.22 264.22
taxable pay 4385.77 4385.77 4385.77 4385.77
income tax 387.44 387.44 387.44 387.44
net pay 3998.33 3998.33 3998.33 3998.33
clauses R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9
Prompt
Process this monthly payroll record under the supplied rulebook. Return the R6 or R7 JSON answer.
Source documents: {"f6c75cab8c86e7df-payroll": {"kind": "payroll", "record": {"gross_pay": "4999.99", "payroll_month": "2026-02", "allowed_deduction": "264.22"}}, "f6c75cab8c86e7df-contract": {"kind": "contract", "gross_pay": "5019.61"}, "f6c75cab8c86e7df-amendment": {"kind": "amendment", "gross_pay": "4999.99", "approved": true, "effective_month": "2026-01"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "5000.00", "deduction": "400.00", "free": "900.00", "upper": "3300.00", "middle_rate": "0.08", "upper_rate": "0.18"}, "second-half": {"rate": "0.08", "cap": "3500.00", "deduction": "400.00", "free": "1000.00", "upper": "3000.00", "middle_rate": "0.14", "upper_rate": "0.24"}}
Rollouts
Rollout #1 100.0% passed · 4.1s · $0.0004
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
**Calculating payroll details**

I’m calculating the payroll for February based on a gross income of 4999.99. There was a contract conflict that’s been resolved. The contribution is calculated at 0.07 times the lesser of 4999.99 or 5000, which gives me about 350 after rounding.

I'll check deductions and taxable income. The tax is split into portions based on brackets. After calculating, my total net pay comes to 3998.33 after all deductions and taxes. I’m considering the relevant clauses and JSON fields, but explanations aren't necessary.
Rollout #2 100.0% passed · 4.6s · $0.0004
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
**Calculating tax contributions**

I need to run some calculations and cite relevant clauses. First, I compute the contribution: 0.07 multiplied by the lesser of 4999.99 or 5000 equals 350.00. The deduction of 264.22 is less than or equal to 400, making gross contribution 4649.99. For taxable income, I subtract: 4999.99 minus 350 minus 264.22 gives 4385.77. The tax breaks down into different brackets, totaling about 387.44. This leads to a net amount of approximately 3998.33.
Rollout #3 100.0% passed · 5.6s · $0.0004
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
**Calculating net earnings**

I'm working through a calculation for February, starting with a gross of $4999.99. After resolving a contract conflict, the contribution is calculated at 0.07 times the minimum of $4999.99 or $5000, which checks out to about $350. After deducting $264.22, I'm looking at a taxable income of $4385.77. Then, I'm calculating the tax-free amount and applying the appropriate rates on different portions for a total tax of $387.44. Finally, the net comes out to $3998.33.