Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 31
DeepSeek V4.1 Flash · Tool use · Task 31 (Calculation, upper 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 3941.14 3941.14 3941.14 3941.14
employee contribution 197.06 197.06 197.06 197.06
allowed deduction 197.94 197.94 197.94 197.94
taxable pay 3546.14 3546.14 3546.14 3546.14
income tax 390.15 390.15 390.15 390.15
net pay 3155.99 3155.99 3155.99 3155.99
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 · 18.9s · $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": "c0b4647b43710bd2-payroll", "kind": "payroll"},
  {"id": "c0b4647b43710bd2-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b4647b43710bd2-payroll")read_document(document_id="c0b4647b43710bd2-contract")
Reasoning
Let me read both documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "3941.14", "payroll_month": "2026-03", "allowed_deduction": "197.94"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "3941.14"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, which is first-half (Jan-Jun). Let me lookup reference for first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.14",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(3941.14, 5000.00) * 0.05, 2)\ntaxable = 3941.14 - contribution - 197.94\nmiddle = (3300.00 - 900.00) * 0.14\nupper = (taxable - 3300.00) * 0.22\nincome_tax = round(middle + upper, 2)\nnet = 3941.14 - contribution - 197.94 - income_tax")
Reasoning
Now let's compute.

gross_pay = 3941.14
contribution rate = 0.05, cap = 5000.00. min(3941.14, 5000.00) = 3941.14. contribution = 3941.14 * 0.05 = 197.057 → round half up = 197.06.

Wait: 3941.14 * 0.05 = 197.057. Round to two decimals half up: 197.06.

allowed_deduction = 197.94. Check cap: deduction cap = 400.00. Also must not exceed gross pay minus rounded employee contribution = 3941.14 - 197.06 = 3744.08. 197.94 ≤ 400 and ≤ 3744.08. OK.

taxable_pay = gross - contribution - allowed_deduction = 3941.14 - 197.06 - 197.94 = 3546.14.

Income tax: free = 900.00, upper boundary = 3300.00, middle rate 0.14, upper rate 0.22.

Taxable pay 3546.14. Portion up to free 900 untaxed. Portion from 900 to 3300 = 2400 at 0.14 = 336.00. Portion above 3300 = 3546.14 - 3300 = 246.14 at 0.22 = 54.1508.

Total = 336.00 + 54.1508 = 390.1508 → round 390.15.

Net pay = 3941.14 - 197.06 - 197.94 - 390.15 = 3155.99.

Let me verify: 3941.14 - 197.06 = 3744.08. -197.94 = 3546.14. -390.15 = 3155.99.

Let me use calculate tool to be exact.
Tool
{
  "results": {"contribution": "197.06", "taxable": "3546.14", "middle": "336.0000", "upper": "54.1508", "income_tax": "390.15", "net": "3155.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Contract gross_pay = 3941.14 matches payroll gross_pay, so no conflict. No amendment needed.

Now produce JSON with decision calculate, currency LCR, fields, clauses R1-R6.

Clauses: R1 through R6 (calculated answers cite R1 through R6, and R9 only when amendment needed). So clauses: ["R1","R2","R3","R4","R5","R6"].
Rollout #2 100.0% passed · 5 tool calls · 5.6s · $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": "c0b4647b43710bd2-payroll", "kind": "payroll"},
  {"id": "c0b4647b43710bd2-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b4647b43710bd2-payroll")read_document(document_id="c0b4647b43710bd2-contract")
Reasoning
Read both documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "3941.14", "payroll_month": "2026-03", "allowed_deduction": "197.94"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "3941.14"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, first half. Need reference row. Let me lookup reference first-half.

Contract gross_pay equals payroll gross_pay, so no conflict (matching contract values require no amendment).

Let me get reference.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.14",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(3941.14, 5000.00) * 0.05, 2)\ntaxable = 3941.14 - contribution - 197.94\nmiddle_tax = (3300.00 - 900.00) * 0.14\nupper_tax = max(taxable - 3300.00, 0) * 0.22\nincome_tax = round(middle_tax + upper_tax, 2)\nnet = 3941.14 - contribution - 197.94 - income_tax")
Reasoning
Now compute.

gross_pay = 3941.14
contribution rate 0.05, cap 5000.00. min(3941.14, 5000) = 3941.14. contribution = 3941.14 * 0.05 = 197.057 → round 197.06.

allowed_deduction = 197.94. Check cap: deduction cap 400.00. Check gross - contribution = 3941.14 - 197.06 = 3744.08. allowed_deduction 197.94 ≤ 400 and ≤ 3744.08. OK.

taxable_pay = gross - contribution - allowed_deduction = 3941.14 - 197.06 - 197.94 = 3546.14.

Income tax: free 900, upper 3300, middle 0.14, upper 0.22.
Taxable 3546.14. Portion above free up to upper: 3300 - 900 = 2400 taxed at 0.14 = 336.00. Portion above upper: 3546.14 - 3300 = 246.14 at 0.22 = 54.1508 → round to 54.15. Total = 336.00 + 54.15 = 390.15.

Wait, R2: do not round intermediate bracket products separately before summing. So sum = 336.00 + 54.1508 = 390.1508 → round 390.15. Same.

net_pay = 3941.14 - 197.06 - 197.94 - 390.15 = 3155.99.

Let me verify with calculate.
Tool
{
  "results": {"contribution": "197.06", "taxable": "3546.14", "middle_tax": "336.0000", "upper_tax": "54.1508", "income_tax": "390.15", "net": "3155.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Contract matches, no amendment needed. Cite R1-R6.

Answer fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses.
Rollout #3 100.0% passed · 5 tool calls · 6.6s · $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": "c0b4647b43710bd2-payroll", "kind": "payroll"},
  {"id": "c0b4647b43710bd2-contract", "kind": "contract"}
]
Assistant
read_document(document_id="c0b4647b43710bd2-payroll")read_document(document_id="c0b4647b43710bd2-contract")
Reasoning
Let me read both documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "3941.14", "payroll_month": "2026-03", "allowed_deduction": "197.94"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "3941.14"
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll record: gross_pay 3941.14, payroll_month 2026-03, allowed_deduction 197.94. Contract gross_pay 3941.14 — matches, no conflict.

Now I need reference rows. Month 2026-03 is first-half. Let me lookup first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.05",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3300.00",
  "middle_rate": "0.14",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(3941.14, 5000.00) * 0.05, 2)\ntaxable = 3941.14 - contribution - 197.94\nmiddle = (3300.00 - 900.00) * 0.14\nupper = (taxable - 3300.00) * 0.22\ntax = round(middle + upper, 2)\nnet = 3941.14 - contribution - 197.94 - tax")
Reasoning
Month 2026-03 is covered by first-half (2026-01 through 2026-06).

Reference row: rate 0.05, cap 5000.00, deduction 400.00, free 900.00, upper 3300.00, middle_rate 0.14, upper_rate 0.22.

Compute:
- employee_contribution = rate * min(gross, cap) = 0.05 * min(3941.14, 5000.00) = 0.05 * 3941.14 = 197.057 → round half up = 197.06.
- allowed_deduction = 197.94. Check: must not exceed deduction cap 400.00, and not exceed gross - employee_contribution = 3941.14 - 197.06 = 3744.08. 197.94 ≤ 400 and ≤ 3744.08. OK.
- taxable_pay = 3941.14 - 197.06 - 197.94 = 3546.14.
- income tax: taxable up to free 900 untaxed. Portion above 900 up to upper 3300 uses middle rate 0.14. Portion above 3300 uses upper rate 0.22.
  - middle portion: 3300 - 900 = 2400 → 2400 * 0.14 = 336.00
  - upper portion: taxable 3546.14 - 3300 = 246.14 → 246.14 * 0.22 = 54.1508 → 54.15 (but don't round separately before summing; sum then round)
  - total = 336.00 + 54.1508 = 390.1508 → round = 390.15.
- net_pay = 3941.14 - 197.06 - 197.94 - 390.15 = ?

Let me compute: 3941.14 - 197.06 = 3744.08; -197.94 = 3546.14; -390.15 = 3155.99.

Let me verify with calculate tool.
Tool
{
  "results": {"contribution": "197.06", "taxable": "3546.14", "middle": "336.0000", "upper": "54.1508", "tax": "390.15", "net": "3155.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All confirmed. Contract gross matches payroll gross, no conflict. Answer calculate.

Clauses: R1 through R6. No amendment needed, so not R9.