Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 7
GPT 5.6 Luna* · Single-turn · Task 7 (Calculation, wage cap binds) 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 8370.45 8370.45 8370.45 8370.45
employee contribution 200.00 200.00 200.00 200.00
allowed deduction 370.62 370.62 370.62 370.62
taxable pay 7799.83 7799.83 7799.83 7799.83
income tax 1267.96 1267.96 1267.96 1267.96
net pay 6531.87 6531.87 6531.87 6531.87
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: {"9869ba945ef7380b-payroll": {"kind": "payroll", "record": {"gross_pay": "8370.45", "payroll_month": "2026-05", "allowed_deduction": "370.62"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.04", "cap": "5000.00", "deduction": "400.00", "free": "1000.00", "upper": "3600.00", "middle_rate": "0.10", "upper_rate": "0.24"}, "second-half": {"rate": "0.04", "cap": "4000.00", "deduction": "400.00", "free": "1000.00", "upper": "3600.00", "middle_rate": "0.12", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 3.9s · $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": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and net income**

I need to calculate the gross for May's first half, which is 8370.45. For the contribution, I find 0.04 * min(8370.45, 5000), resulting in 200.00. The deduction is 370.62, and since it’s less than 400, I confirm the contributions are valid. The taxable amount comes out to be 7799.83. After applying the tax calculations, my total tax is 1267.96. Finally, net earnings are 6531.87. Now, I will prepare the exact JSON fields as needed.
Rollout #2 100.0% passed · 4.0s · $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": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating net income**

I need to calculate the gross income, which is $8370.45 for the first half of May. The contribution is 0.04 times the minimum of $8370.45 and $5000, which equals $200.00. The deduction is $370.62, and since it’s under the cap of $400, that’s fine. The taxable amount is $7799.83. The tax breaks down into three brackets, resulting in a total tax of $1267.96, which leads to a net income of $6531.87.
Rollout #3 100.0% 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": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating financial figures**

I'm working on calculating the gross amount of $8,370.45 for May’s first half, with a 0.04 rate and deductions. I've got numbers like a $5,000 cap and $200 contribution. Allowed is $370.62, which is lower than $400. The taxable amount comes to $7,799.83. The tax-free portion is $1,000, and I'm figuring out mid and upper taxes based on brackets, leading to a total tax of about $1,267.96. My final net amount appears to be $6,531.87.