Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 7
DeepSeek V4.1 Flash · Tool use · Task 7 (Calculation, wage cap binds) 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 8370.45 8370.45 8370.45 8370.45
employee contribution 200.00 200.00 200.00 200.00
allowed deduction 370.62 370.62 370.62 370.62
taxable pay 7799.83 7799.83 7799.83 7799.83
income tax 1267.96 1267.96 1267.96 1267.96
net pay 6531.87 6531.87 6531.87 6531.87
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 · 6.2s · $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": "9869ba945ef7380b-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9869ba945ef7380b-payroll")
Reasoning
Let me read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "8370.45", "payroll_month": "2026-05", "allowed_deduction": "370.62"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-05, first-half? Let me check reference. Need to look up first-half and second-half. 2026-05 is May, which is in first half presumably (Jan-Jun). Let me look up both.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.04",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.10",
  "upper_rate": "0.24"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.12",
  "upper_rate": "0.22"
}
Assistant
calculate(program="employee_contribution = round(min(8370.45, 5000.00) * 0.04, 2)\ntaxable_pay = round(8370.45 - employee_contribution - 370.62, 2)\nincome_tax = round(2600.00 * 0.10 + max(taxable_pay - 3600.00, 0) * 0.24, 2)\nnet_pay = round(8370.45 - employee_contribution - 370.62 - income_tax, 2)")
Reasoning
Payroll month 2026-05 falls in first-half. So use first-half row: rate 0.04, cap 5000.00, deduction 400.00, free 1000.00, upper 3600.00, middle_rate 0.10, upper_rate 0.24.

Gross pay = 8370.45.

Employee contribution = rate * min(gross, cap) = 0.04 * min(8370.45, 5000.00) = 0.04 * 5000.00 = 200.00.

Allowed deduction: given 370.62. Must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (8370.45 - 200.00 = 8170.45). 370.62 <= 400 and <= 8170.45. OK.

Taxable pay = gross - employee contribution - allowed deduction = 8370.45 - 200.00 - 370.62 = 7799.83.

Income tax: progressive marginal.
Free amount 1000.00 untaxed.
Portion above free up to upper boundary 3600.00 uses middle rate 0.10. That's (3600 - 1000) = 2600.00 * 0.10 = 260.00.
Portion above upper boundary uses upper rate 0.24: (7799.83 - 3600) = 4199.83 * 0.24 = 1007.9592 → round... but R2 says do not round intermediate bracket products separately before summing. So compute total: 260.00 + 4199.83*0.24 = 260.00 + 1007.9592 = 1267.9592 → round half up to 1267.96.

Net pay = gross - employee contribution - allowed deduction - income tax = 8370.45 - 200.00 - 370.62 - 1267.96 = 6531.87.

Let me compute with calculate.
Tool
{
  "results": {"employee_contribution": "200.00", "taxable_pay": "7799.83", "income_tax": "1267.96", "net_pay": "6531.87"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. No contract_gross_pay or amendment present. Return calculate.

Clauses: R1 through R6 (R7 not needed, R9 not needed). Cite R1, R2, R3, R4, R5, R6.
Rollout #2 100.0% passed · 4 tool calls · 5.1s · $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": "9869ba945ef7380b-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9869ba945ef7380b-payroll")
Reasoning
Let me read the document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "8370.45", "payroll_month": "2026-05", "allowed_deduction": "370.62"}
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-05, first-half. Let me look up reference.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.04",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.10",
  "upper_rate": "0.24"
}
Assistant
calculate(program="contribution = round(min(8370.45, 5000.00) * 0.04, 2)\ntaxable = 8370.45 - contribution - 370.62\nmiddle = (3600.00 - 1000.00) * 0.10\nupper = (taxable - 3600.00) * 0.24\nincome_tax = round(middle + upper, 2)\nnet = 8370.45 - contribution - 370.62 - income_tax")
Reasoning
Month 2026-05 falls in first-half (2026-01 through 2026-06). Good.

Now calculate.

gross_pay = 8370.45
contribution rate = 0.04, cap = 5000.00
employee_contribution = round(min(8370.45, 5000.00) * 0.04, 2) = round(5000 * 0.04) = 200.00

allowed_deduction = 370.62
Check: must not exceed deduction cap (400.00) nor gross pay minus rounded employee contribution (8370.45 - 200.00 = 8170.45). 370.62 <= 400 and <= 8170.45. OK.

taxable_pay = 8370.45 - 200.00 - 370.62 = 7799.83

income tax:
free = 1000.00, upper = 3600.00
Taxable pay up to free untaxed. Portion above free up to upper boundary uses middle rate 0.10. Portion above upper boundary uses upper rate 0.24.

middle bracket: from 1000 to 3600 = 2600.00 * 0.10 = 260.00
upper bracket: above 3600 = 7799.83 - 3600 = 4199.83 * 0.24 = 1007.9592

total = 260.00 + 1007.9592 = 1267.9592 → round half up = 1267.96

net_pay = 8370.45 - 200.00 - 370.62 - 1267.96 = 6531.87

Let me compute with calculator.
Tool
{
  "results": {"contribution": "200.00", "taxable": "7799.83", "middle": "260.0000", "upper": "1007.9592", "income_tax": "1267.96", "net": "6531.87"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Now produce the JSON answer.
Rollout #3 100.0% passed · 4 tool calls · 4.3s · $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": "9869ba945ef7380b-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9869ba945ef7380b-payroll")
Reasoning
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "8370.45", "payroll_month": "2026-05", "allowed_deduction": "370.62"}
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-05, first-half. Let me look up reference.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.04",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.10",
  "upper_rate": "0.24"
}
Assistant
calculate(program="contribution = round(min(8370.45, 5000.00) * 0.04, 2)\ntaxable = 8370.45 - contribution - 370.62\nmiddle = round((3600.00 - 1000.00) * 0.10, 2)\nupper = round((taxable - 3600.00) * 0.24, 2)\ntax = round(middle + upper, 2)\nnet = round(8370.45 - contribution - 370.62 - tax, 2)")
Reasoning
Month 2026-05 covered by first-half (2026-01 to 2026-06).

Now compute.

gross_pay = 8370.45
contribution rate = 0.04, cap = 5000.00
employee_contribution = 0.04 * min(8370.45, 5000.00) = 0.04 * 5000.00 = 200.00

allowed_deduction = 370.62. Check cap: deduction cap 400.00, and gross minus rounded contribution = 8370.45 - 200.00 = 8170.45. 370.62 <= 400.00 and <= 8170.45. OK.

taxable_pay = 8370.45 - 200.00 - 370.62 = 7799.83

income tax: free 1000.00, upper 3600.00, middle 0.10, upper 0.24.
Portion up to free: 1000 untaxed.
Portion above free up to upper boundary 3600: (3600 - 1000) = 2600 at 0.10 = 260.00
Portion above 3600: 7799.83 - 3600 = 4199.83 at 0.24 = 1007.9592
Total = 260 + 1007.9592 = 1267.9592 → round 1267.96

net_pay = 8370.45 - 200.00 - 370.62 - 1267.96 = 6531.87

Let me compute via tool.
Tool
{
  "results": {"contribution": "200.00", "taxable": "7799.83", "middle": "260.00", "upper": "1007.96", "tax": "1267.96", "net": "6531.87"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "8370.45",
  "employee_contribution": "200.00",
  "allowed_deduction": "370.62",
  "taxable_pay": "7799.83",
  "income_tax": "1267.96",
  "net_pay": "6531.87",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
Note: R2 says do not round intermediate bracket products separately before summing income tax. So I should compute middle and upper without rounding then sum then round. Let me redo: middle = 2600*0.10 = 260.00 exactly. upper = 4199.83*0.24 = 1007.9592. Sum = 1267.9592 → round half up = 1267.96. Same result. Good.

Final answer.