Luma Payroll Gym
← Heatmap / GPT 5.6 Luna · Task 104
GPT 5.6 Luna* · Single-turn · Task 104 (Calculation, wage cap binds, 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 5662.30 5662.30 5662.30 5662.30
employee contribution 180.00 180.00 180.00 180.00
allowed deduction 169.02 169.02 169.02 169.02
taxable pay 5313.28 5313.28 5313.28 5313.28
income tax 748.92 748.92 748.92 748.92
net pay 4564.36 4564.36 4564.36 4564.36
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: {"1fb17c8b15731951-payroll": {"kind": "payroll", "record": {"gross_pay": "5662.30", "payroll_month": "2026-09", "allowed_deduction": "169.02"}}, "1fb17c8b15731951-contract": {"kind": "contract", "gross_pay": "6025.51"}, "1fb17c8b15731951-amendment": {"kind": "amendment", "gross_pay": "5662.30", "approved": true, "effective_month": "2026-03"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "3500.00", "deduction": "400.00", "free": "1100.00", "upper": "2800.00", "middle_rate": "0.14", "upper_rate": "0.20"}, "second-half": {"rate": "0.04", "cap": "4500.00", "deduction": "400.00", "free": "1000.00", "upper": "3000.00", "middle_rate": "0.12", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 4.1s · $0.0005
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": "5662.30",
  "employee_contribution": "180.00",
  "allowed_deduction": "169.02",
  "taxable_pay": "5313.28",
  "income_tax": "748.92",
  "net_pay": "4564.36",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
**Calculating payroll deductions**

I need to calculate some payroll deductions and ensure the amendment resolves conflict within the approved amounts. I start with gross pay of $5,662.30 and apply the custom rates. The contribution comes to $180, and I need to check it's allowed against the cap. After taxes, the total deduction rounds to $748.92. So, the net pay ends up at $4,564.36. I'll revisit clauses R1-R6 and R9 for the necessary amendments in JSON format.
Rollout #2 100.0% passed · 5.0s · $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": "5662.30",
  "employee_contribution": "180.00",
  "allowed_deduction": "169.02",
  "taxable_pay": "5313.28",
  "income_tax": "748.92",
  "net_pay": "4564.36",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
**Calculating payroll amendment**

I need to assess an amendment concerning payroll gross of 5662.30 and contract 6025.51, approved effective 2026-03. The September amount should equal payroll gross, as cited in R9. 

For the second half, the custom rate is .04 with a deduction cap of 400. I calculate the contribution as .04 times 4500, which equals 180. The taxable income is 5313.28 after applying deductions. Tax calculations follow for different portions, summing to 748.92, leading to a net of 4564.36. I need to format this into JSON with specific clauses.
Rollout #3 100.0% passed · 3.4s · $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": "5662.30",
  "employee_contribution": "180.00",
  "allowed_deduction": "169.02",
  "taxable_pay": "5313.28",
  "income_tax": "748.92",
  "net_pay": "4564.36",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}