Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 17
DeepSeek V4.1 Flash · Tool use · Task 17 (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 1430.25 1430.25 1430.25 1430.25
employee contribution 114.42 114.42 114.42 114.42
allowed deduction 115.82 115.82 115.82 115.82
taxable pay 1200.01 1200.01 1200.01 1200.01
income tax 0.00 0.00 0.00 0.00
net pay 1200.01 1200.01 1200.01 1200.01
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 · 5 tool calls · 4.8s · $0.0019
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": "c0b6cf337e756b28-payroll", "kind": "payroll"},
  {"id": "c0b6cf337e756b28-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b6cf337e756b28-payroll")read_document(document_id="c0b6cf337e756b28-contract")
Reasoning
Let me read both documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1430.25", "payroll_month": "2026-03", "allowed_deduction": "115.82"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1430.25"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, first-half. Let me look up reference.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.08",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.14",
  "upper_rate": "0.18"
}
Assistant
calculate(program="employee_contribution = round(min(1430.25, 4000.00) * 0.08, 2)\ntaxable_pay = round(1430.25 - employee_contribution - 115.82, 2)\nmiddle_tax = round(max(min(taxable_pay, 3000.00) - 1200.00, 0) * 0.14, 2)\nupper_tax = round(max(taxable_pay - 3000.00, 0) * 0.18, 2)\nincome_tax = round(middle_tax + upper_tax, 2)\nnet_pay = round(1430.25 - employee_contribution - 115.82 - income_tax, 2)")
Reasoning
March 2026 is in first-half (2026-01 to 2026-06). Good.

Inputs:
- gross_pay = 1430.25
- payroll_month = 2026-03
- allowed_deduction = 115.82
- contract_gross_pay = 1430.25 (matches gross_pay, no conflict)

Reference row first-half:
- rate = 0.08
- cap = 4000.00
- deduction cap = 400.00
- free = 1200.00
- upper = 3000.00
- middle_rate = 0.14
- upper_rate = 0.18

Employee contribution = rate * min(gross, cap) = 0.08 * min(1430.25, 4000.00) = 0.08 * 1430.25 = 114.42.

Allowed deduction = 115.82. Check: must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (1430.25 - 114.42 = 1315.83). 115.82 <= 400 and <= 1315.83. OK.

Taxable pay = gross - employee contribution - allowed deduction = 1430.25 - 114.42 - 115.82 = 1200.01.

Income tax: taxable pay 1200.01. Free 1200.00. Portion above free = 0.01, up to upper boundary 3000.00 uses middle rate 0.14. So tax = 0.01 * 0.14 = 0.0014 → round half up = 0.00.

Net pay = gross - employee contribution - allowed deduction - income tax = 1430.25 - 114.42 - 115.82 - 0.00 = 1200.01.

Let me verify with calculate.
Tool
{
  "results": {"employee_contribution": "114.42", "taxable_pay": "1200.01", "middle_tax": "0.00", "upper_tax": "0.00", "income_tax": "0.00", "net_pay": "1200.01"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1430.25",
  "employee_contribution": "114.42",
  "allowed_deduction": "115.82",
  "taxable_pay": "1200.01",
  "income_tax": "0.00",
  "net_pay": "1200.01",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Contract gross matches, no conflict. Answer.
Rollout #2 100.0% passed · 5 tool calls · 4.8s · $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": "c0b6cf337e756b28-payroll", "kind": "payroll"},
  {"id": "c0b6cf337e756b28-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b6cf337e756b28-payroll")read_document(document_id="c0b6cf337e756b28-contract")
Reasoning
Read both documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1430.25", "payroll_month": "2026-03", "allowed_deduction": "115.82"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1430.25"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, first half (Jan-Jun). Need reference row for first-half.

Contract gross_pay = 1430.25 matches gross_pay, so no conflict.

Lookup reference first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.08",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.14",
  "upper_rate": "0.18"
}
Assistant
calculate(program="contribution = round(min(1430.25, 4000.00) * 0.08, 2)\ntaxable = 1430.25 - contribution - 115.82\nmiddle = round(max(0, min(taxable, 3000.00) - 1200.00) * 0.14, 2)\nupper = round(max(0, taxable - 3000.00) * 0.18, 2)\ntax = round(middle + upper, 2)\nnet = 1430.25 - contribution - 115.82 - tax")
Reasoning
Now compute.

gross_pay = 1430.25
employee_contribution = rate * min(gross, cap) = 0.08 * min(1430.25, 4000.00) = 0.08 * 1430.25 = 114.42
allowed_deduction = 115.82. Must not exceed deduction cap 400.00 nor gross - employee contribution = 1430.25 - 114.42 = 1315.83. 115.82 <= 400 and <= 1315.83. OK.

taxable_pay = 1430.25 - 114.42 - 115.82 = 1200.01
income_tax: free 1200.00 untaxed. taxable pay 1200.01, portion above free = 0.01 up to upper 3000 -> middle rate 0.14. 0.01*0.14 = 0.0014 -> round 0.00.
income_tax = 0.00
net_pay = 1430.25 - 114.42 - 115.82 - 0.00 = 1200.01

Let me verify with calculate.
Tool
{
  "results": {"contribution": "114.42", "taxable": "1200.01", "middle": "0.00", "upper": "0.00", "tax": "0.00", "net": "1200.01"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1430.25",
  "employee_contribution": "114.42",
  "allowed_deduction": "115.82",
  "taxable_pay": "1200.01",
  "income_tax": "0.00",
  "net_pay": "1200.01",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Contract matches gross pay, no conflict, no amendment needed.

Answer fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses.

Clauses R1-R6.
Rollout #3 100.0% passed · 5 tool calls · 5.4s · $0.0020
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": "c0b6cf337e756b28-payroll", "kind": "payroll"},
  {"id": "c0b6cf337e756b28-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b6cf337e756b28-payroll")read_document(document_id="c0b6cf337e756b28-contract")

Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "1430.25", "payroll_month": "2026-03", "allowed_deduction": "115.82"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1430.25"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, first half. Contract gross_pay matches gross_pay, so no conflict. Need reference row for first-half.

Let me lookup_reference first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.08",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.14",
  "upper_rate": "0.18"
}
Assistant
calculate(program="contribution = round(min(1430.25, 4000.00) * 0.08, 2)\ntaxable = 1430.25 - contribution - 115.82\nmiddle_tax = round(max(min(taxable, 3000.00) - 1200.00, 0) * 0.14, 2)\nupper_tax = round(max(taxable - 3000.00, 0) * 0.18, 2)\nincome_tax = round(middle_tax + upper_tax, 2)\nnet = round(1430.25 - contribution - 115.82 - income_tax, 2)")
Reasoning
Month 2026-03 is in first-half (2026-01 to 2026-06).

Row: rate 0.08, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.18.

Gross pay = 1430.25.

Employee contribution = 0.08 * min(1430.25, 4000.00) = 0.08 * 1430.25 = 114.42.

Allowed deduction = 115.82. Check cap: must not exceed deduction cap 400.00 or gross pay minus rounded employee contribution = 1430.25 - 114.42 = 1315.83. 115.82 ≤ 400 and ≤ 1315.83. OK.

Taxable pay = 1430.25 - 114.42 - 115.82 = 1200.01.

Income tax: taxable pay up to free 1200.00 untaxed. Portion above up to upper 3000.00 uses middle rate. Taxable 1200.01, so portion above free = 0.01 at 0.14 = 0.0014 → round to 0.00. Total income tax = 0.00.

Net pay = 1430.25 - 114.42 - 115.82 - 0.00 = 1200.01.

Let me compute exactly with calculator.
Tool
{
  "results": {"contribution": "114.42", "taxable": "1200.01", "middle_tax": "0.00", "upper_tax": "0.00", "income_tax": "0.00", "net": "1200.01"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1430.25",
  "employee_contribution": "114.42",
  "allowed_deduction": "115.82",
  "taxable_pay": "1200.01",
  "income_tax": "0.00",
  "net_pay": "1200.01",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-03 selects the first-half row (rate 0.08, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle 0.14, upper 0.18). Contribution = 0.08 x 1430.25 = 114.42. Deduction 115.82 is within the 400.00 cap and within gross minus contribution (1315.83). Taxable = 1430.25 - 114.42 - 115.82 = 1200.01; only 0.01 exceeds the 1200.00 free amount, giving tax 0.0014 -> 0.00. Net = 1200.01. Contract gross matches, so no amendment is needed."
}
Reasoning
All good. Contract matches gross pay, no conflict. Return calculate.

Clauses: R1-R6 (no amendment needed). Contract value matches, no R9 needed.