Luma Payroll Gym
Rules Report
← Heatmap / DeepSeek V4.1 Flash · Task 10
DeepSeek V4.1 Flash · Tool use · 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.
Retrieve the case inputs with list_documents and read_document. Reference rows are available only through lookup_reference. Use calculate for exact decimal arithmetic.
Rollouts
Rollout #1 100.0% passed · 4 tool calls · 6.1s · $0.0018
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
list_documents()
Reasoning 
Let me start by listing documents.
Tool
[
  {"id": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="8d558bb0cabd2e37-payroll")
Reasoning 
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}
Assistant
lookup_reference(reference="second-half")
Reasoning 
Payroll month 2026-10, second half. Need reference rows. Look up second-half.

Also check for contract_gross_pay? Not present. No amendment. Good.

Let me lookup reference second-half.
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(1978.24, 4000.00) * 0.04, 2)\ntaxable = 1978.24 - contribution - 82.86\ntax = round(max(0, min(taxable, 3000.00) - 1200.00) * 0.10 + max(0, taxable - 3000.00) * 0.22, 2)\nnet = 1978.24 - contribution - 82.86 - tax")
Reasoning 
Second-half row: rate 0.04, cap 4000.00, deduction 400.00, free 1200.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22.

Gross pay 1978.24. Month 2026-10 falls in second-half (2026-07 to 2026-12).

Employee contribution = 0.04 * min(1978.24, 4000.00) = 0.04*1978.24 = 79.1296 → round 79.13.

Allowed deduction: 82.86 must not exceed deduction cap 400.00 or gross minus rounded contribution = 1978.24 - 79.13 = 1899.11. 82.86 ≤ both. OK.

Taxable pay = 1978.24 - 79.13 - 82.86 = 1816.25.

Income tax: taxable 1816.25, free 1200.00, upper 3000.00. Portion above free up to upper = 1816.25 - 1200 = 616.25 at middle rate 0.10 = 61.625 → but total tax round half up at end. 616.25*0.10 = 61.625. No upper portion. Total = 61.625 → round 61.63 (round half up: 61.625 → 61.63? Round half up: 61.625 to two decimals, the third decimal is 5, so round up → 61.63).

Net pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62.

Let me compute: 1978.24 - 79.13 = 1899.11. -82.86 = 1816.25. -61.63 = 1754.62.

Let me verify with calculator.
Tool
{
  "results": {"contribution": "79.13", "taxable": "1816.25", "tax": "61.63", "net": "1754.62"}
}
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 
All good. Return calculate answer.

Clauses: R1-R6 (calculated answers cite R1 through R6). No amendment needed, so not R9.
Rollout #2 100.0% passed · 4 tool calls · 6.0s · $0.0017
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
list_documents()
Reasoning 
Let me start by listing documents.
Tool
[
  {"id": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="8d558bb0cabd2e37-payroll")
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}
Assistant
lookup_reference(reference="second-half")
Reasoning 
Payroll month 2026-10, second half. Look up reference.
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(1978.24, 4000.00) * 0.04, 2)\ntaxable = 1978.24 - contribution - 82.86\ntax = round(max(0, min(taxable, 3000.00) - 1200.00) * 0.10 + max(0, taxable - 3000.00) * 0.22, 2)\nnet = 1978.24 - contribution - 82.86 - tax")
Reasoning 
Now compute.

gross_pay = 1978.24
contribution rate 0.04, cap 4000.00. smaller of 1978.24 and 4000 = 1978.24. contribution = 1978.24*0.04 = 79.1296 → round 79.13.

allowed_deduction = 82.86. Check: must not exceed deduction cap 400.00 nor gross - rounded contribution = 1978.24 - 79.13 = 1899.11. 82.86 ≤ 400 and ≤ 1899.11. OK.

taxable_pay = 1978.24 - 79.13 - 82.86 = 1816.25.

Income tax: free 1200.00, upper 3000.00. taxable 1816.25 ≤ 1200? No. Portion above free up to upper: 1816.25 - 1200 = 616.25 at 10% = 61.625 → round 61.63? Wait, do not round intermediate bracket products separately before summing. Only one bracket here. Round total = 61.63 (round half up: 61.625 → 61.63).

Actually 616.25*0.10 = 61.625, round half up to 61.63.

net_pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62.

Let me compute: 1978.24 - 79.13 = 1899.11; -82.86 = 1816.25; -61.63 = 1754.62.

Let me verify with calculate tool.
Tool
{
  "results": {"contribution": "79.13", "taxable": "1816.25", "tax": "61.63", "net": "1754.62"}
}
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 
All good. Return calculate JSON.

Clauses: R1 through R6 (R9 not needed). Cite R1, R2, R3, R4, R5, R6.
Rollout #3 100.0% passed · 4 tool calls · 4.5s · $0.0017
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
list_documents()
Reasoning 
Let me start by listing documents.
Tool
[
  {"id": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="8d558bb0cabd2e37-payroll")
Reasoning 
Let me read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}
Assistant
lookup_reference(reference="second-half")
Reasoning 
Payroll month 2026-10, second half. Let me look up reference.
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="gross = 1978.24\ncontribution = round(min(gross, 4000.00) * 0.04, 2)\ntaxable = gross - contribution - 82.86\nincome_tax = round(max(0, min(taxable, 3000.00) - 1200.00) * 0.10 + max(0, taxable - 3000.00) * 0.22, 2)\nnet = gross - contribution - 82.86 - income_tax")
Reasoning 
Month 2026-10 falls in second half (2026-07 to 2026-12). Good.

Now compute:
- gross_pay = 1978.24
- employee_contribution = 0.04 * min(1978.24, 4000.00) = 0.04 * 1978.24 = 79.1296 → round half up = 79.13
- allowed_deduction = 82.86, must not exceed deduction cap 400.00 or gross - employee contribution = 1978.24 - 79.13 = 1899.11. 82.86 ≤ 1899.11 OK.
- taxable_pay = gross - employee_contribution - allowed_deduction = 1978.24 - 79.13 - 82.86 = 1816.25
- income tax: taxable pay up to free (1200) untaxed. Portion above 1200 up to upper boundary 3000 uses middle rate 0.10. Taxable pay 1816.25 < 3000, so all portion (1816.25 - 1200 = 616.25) at 0.10 = 61.625 → round half up = 61.63. Wait, but R5 says round the total income tax under R2, don't round intermediate bracket products separately before summing. Here only one bracket applies. 616.25 * 0.10 = 61.625 → round half up 61.63.
- net_pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62

Let me compute: 1978.24 - 79.13 = 1899.11; - 82.86 = 1816.25; - 61.63 = 1754.62.

Let me verify with calculate tool.
Tool
{
  "results": {"gross": "1978.24", "contribution": "79.13", "taxable": "1816.25", "income_tax": "61.63", "net": "1754.62"}
}
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 
All fields confirmed.

Return calculate JSON.