Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 10
GPT 5.6 Luna* · Single-turn · Task 10 (Calculation, middle bracket) 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 1978.24 1978.24 1978.24 1978.24
employee contribution 79.13 79.13 79.13 79.13
allowed deduction 82.86 82.86 82.86 82.86
taxable pay 1816.25 1816.25 1816.25 1816.25
income tax 61.63 61.63 61.63 61.63
net pay 1754.62 1754.62 1754.62 1754.62
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: {"8d558bb0cabd2e37-payroll": {"kind": "payroll", "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.05", "cap": "4500.00", "deduction": "400.00", "free": "1200.00", "upper": "2800.00", "middle_rate": "0.10", "upper_rate": "0.18"}, "second-half": {"rate": "0.04", "cap": "4000.00", "deduction": "400.00", "free": "1200.00", "upper": "3000.00", "middle_rate": "0.10", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 3.6s · $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": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating deductions and taxes**

I need to calculate some deductions and tax liabilities for the second half of October. The rate caps and contribution figures are in play. So, starting with gross of 1978.24 and accounting for deductions, my contribution comes to 79.13. After adjustments for various caps and tax calculations, it looks like my net amount will arrive at 1754.62. Lastly, I need to prepare the data in JSON format with the correct fields.
Rollout #2 100.0% passed · 3.5s · $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": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating financial details**

I need to calculate the financial figures for the second-half of October. The gross is $1978.24, and after a deduction of $82.86, I’ll calculate a contribution, which is .04 times the minimum of gross or 4000, resulting in $79.13. The taxable amount comes out to $1816.25 after those adjustments. With a tax-free threshold of $1200, the excess is $616.25. The net amount is $1754.62 after accounting for all deductions. I'll need to include clauses likely R1-R6 in JSON format.
Rollout #3 100.0% 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": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
**Calculating tax deductions**

I need to do some calculations for the second half of October. The rate is 0.04 with a cap of 4000. There’s also a deduction cap of 400 and a free deduction of 1200, with upper limits for different tiers (3000 and 4000). The gross amount is 1978.24, leading to a contribution of 79.13. The deduction needs to be 82.86, making the taxable amount 1816.25. After applying the tax, the net gross should be 1754.62, and I’ll need to include specific clauses in the JSON.