Luma Payroll Gym
Rules Report
← Heatmap / DeepSeek V4.1 Flash · Task 78
DeepSeek V4.1 Flash · Tool use · Task 78 (Calculation, at the tax-free line) 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 948.45 948.45 948.45 948.45
employee contribution 47.42 47.42 47.42 47.42
allowed deduction 1.03 1.03 1.03 1.03
taxable pay 900.00 900.00 900.00 900.00
income tax 0.00 0.00 0.00 0.00
net pay 900.00 900.00 900.00 900.00
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 · $0.0013
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": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")
Reasoning 
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")
Reasoning 
Payroll month 2026-05 is first-half (months 1-6). Let me look up reference.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Assistant
calculate(program="contribution = round(min(948.45, 4500.00) * 0.05, 2)\ntaxable = 948.45 - contribution - 1.03\ntax = round(max(0, min(taxable, 3300.00) - 900.00) * 0.08 + max(0, taxable - 3300.00) * 0.18, 2)\nnet = 948.45 - contribution - 1.03 - tax")
Reasoning 
Now compute.

gross_pay = 948.45
employee contribution = 0.05 * min(948.45, 4500.00) = 0.05*948.45 = 47.4225 → round half up = 47.42? 47.4225 rounds to 47.42 (third decimal 2). Actually 47.4225 → two decimals: look at third decimal digit which is 2 (47.42|25), so 47.42.

allowed_deduction = 1.03. Check: must not exceed deduction cap 400.00, nor gross pay minus rounded employee contribution = 948.45 - 47.42 = 901.03. 1.03 ≤ 901.03, ok.

taxable_pay = 948.45 - 47.42 - 1.03 = 900.00.

Income tax: taxable pay 900.00, free = 900.00. So up to 900 untaxed. No tax. income_tax = 0.00.

net_pay = 948.45 - 47.42 - 1.03 - 0.00 = 900.00.

Let me verify with calculate.
Tool
{
  "results": {"contribution": "47.42", "taxable": "900.00", "tax": "0.00", "net": "900.00"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "948.45",
  "employee_contribution": "47.42",
  "allowed_deduction": "1.03",
  "taxable_pay": "900.00",
  "income_tax": "0.00",
  "net_pay": "900.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
All good. taxable = 900.00, which is exactly at free amount, so tax = 0.00.

Return JSON.
Rollout #2 100.0% passed · 5 tool calls · 6.1s · $0.0016
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": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")
Reasoning 
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning 
Payroll month 2026-05. Need reference row. First-half covers which months? Let me look up references.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.06",
  "cap": "3500.00",
  "deduction": "400.00",
  "free": "1100.00",
  "upper": "2800.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="employee_contribution = round(min(948.45, 4500.00) * 0.05, 2)\ntaxable_pay = 948.45 - employee_contribution - 1.03\nincome_tax = round(max(0.00, min(taxable_pay, 3300.00) - 900.00) * 0.08 + max(0.00, taxable_pay - 3300.00) * 0.18, 2)\nnet_pay = 948.45 - employee_contribution - 1.03 - income_tax")
Reasoning 
Payroll month 2026-05 falls in first-half (2026-01 to 2026-06). Row: rate 0.05, cap 4500.00, deduction 400.00, free 900.00, upper 3300.00, middle_rate 0.08, upper_rate 0.18.

Gross pay 948.45. Employee contribution = 0.05 * min(948.45, 4500.00) = 0.05*948.45 = 47.4225 → round 47.42.

Allowed deduction 1.03. Check: must not exceed deduction cap 400.00 or gross pay minus rounded employee contribution = 948.45 - 47.42 = 901.03. 1.03 ≤ both. OK.

Taxable pay = gross - employee contribution - allowed deduction = 948.45 - 47.42 - 1.03 = 900.00.

Income tax: taxable 900.00 up to free 900.00 → untaxed. Tax = 0.00.

Net pay = 948.45 - 47.42 - 1.03 - 0.00 = 900.00.

Let me compute with calculator.
Tool
{
  "results": {"employee_contribution": "47.42", "taxable_pay": "900.00", "income_tax": "0.00", "net_pay": "900.00"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "948.45",
  "employee_contribution": "47.42",
  "allowed_deduction": "1.03",
  "taxable_pay": "900.00",
  "income_tax": "0.00",
  "net_pay": "900.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
All good. Return JSON.
Rollout #3 100.0% passed · 5 tool calls · 5.6s · $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": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")
Reasoning 
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning 
Payroll month 2026-05, first-half? Let me check reference tables. Need to look up first-half and second-half. The month 2026-05 — which reference covers it? Let me lookup both.

Actually R1 says select the reference row using the payroll month. There's a schedule for first-half and second-half. Let me lookup both.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.06",
  "cap": "3500.00",
  "deduction": "400.00",
  "free": "1100.00",
  "upper": "2800.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(948.45, 4500.00) * 0.05, 2)\ntaxable_pay = 948.45 - contribution - 1.03\nincome_tax = round(0.00, 2)\nnet_pay = 948.45 - contribution - 1.03 - income_tax")
Reasoning 
Payroll month 2026-05 falls in first-half (2026-01 through 2026-06). So use first-half row: rate 0.05, cap 4500.00, deduction 400.00, free 900.00, upper 3300.00, middle_rate 0.08, upper_rate 0.18.

Gross pay 948.45. Employee contribution = 0.05 * min(948.45, 4500.00) = 0.05*948.45 = 47.4225 → round half up → 47.42.

Allowed deduction = 1.03. Check: must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (948.45 - 47.42 = 901.03). 1.03 ≤ 400 and ≤ 901.03, OK.

Taxable pay = 948.45 - 47.42 - 1.03 = 900.00.

Income tax: taxable pay 900.00. Free amount 900.00. Up to 900 untaxed, so tax = 0.00.

Net pay = 948.45 - 47.42 - 1.03 - 0.00 = 900.00.

Let me compute exactly with the calculator.
Tool
{
  "results": {"contribution": "47.42", "taxable_pay": "900.00", "income_tax": "0.00", "net_pay": "900.00"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "948.45",
  "employee_contribution": "47.42",
  "allowed_deduction": "1.03",
  "taxable_pay": "900.00",
  "income_tax": "0.00",
  "net_pay": "900.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
Taxable pay 900.00 equals free amount 900.00, so no tax. Income tax = 0.00.

Now return JSON.