Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 75
DeepSeek V4.1 Flash · Tool use · Task 75 (Calculation, half-cent rounding tie) 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 2107.50 2107.50 2107.50 2107.50
employee contribution 147.53 147.53 147.53 147.53
allowed deduction 273.91 273.91 273.91 273.91
taxable pay 1686.06 1686.06 1686.06 1686.06
income tax 54.88 54.88 54.88 54.88
net pay 1631.18 1631.18 1631.18 1631.18
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 · 5.6s · $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": "9c34fc341666103e-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9c34fc341666103e-payroll")
Reasoning
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "2107.50", "payroll_month": "2026-04", "allowed_deduction": "273.91"}
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Now I need reference rows. Month 2026-04 is first half. Let's look up first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.24"
}
Assistant
calculate(program="contribution = round(min(2107.50, 4500.00) * 0.07, 2)\ntaxable = 2107.50 - contribution - 273.91\ntax = round(max(0, min(taxable, 3600.00) - 1000.00) * 0.08 + max(0, taxable - 3600.00) * 0.24, 2)\nnet = 2107.50 - contribution - 273.91 - tax")
Reasoning
Now compute. Gross 2107.50. Contribution = 0.07 * min(2107.50, 4500) = 0.07 * 2107.50 = 147.525 → round half up = 147.53? Wait 147.525 round half up to 2 decimals = 147.53.

Hmm, let me be careful: 2107.50 * 0.07 = 147.525. Round half up → 147.53.

Allowed deduction: 273.91, cap 400.00, also must not exceed gross - contribution = 2107.50 - 147.53 = 1959.97. 273.91 <= 400 and <= 1959.97, ok.

Taxable pay = 2107.50 - 147.53 - 273.91 = 1686.06.

Income tax: taxable 1686.06, free 1000, upper 3600. Since 1686.06 <= 3600, portion above free = 686.06 at middle rate 0.08 = 54.8848 → round 54.88.

Net pay = 2107.50 - 147.53 - 273.91 - 54.88 = 1631.18.

Let me verify with calculate.
Tool
{
  "results": {"contribution": "147.53", "taxable": "1686.06", "tax": "54.88", "net": "1631.18"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "2107.50",
  "employee_contribution": "147.53",
  "allowed_deduction": "273.91",
  "taxable_pay": "1686.06",
  "income_tax": "54.88",
  "net_pay": "1631.18",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. No contract_gross_pay, no amendment. Return calculate.

Clauses: R1 through R6. R9 not needed.
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": "9c34fc341666103e-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9c34fc341666103e-payroll")
Reasoning
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "2107.50", "payroll_month": "2026-04", "allowed_deduction": "273.91"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-04, first half? Need to determine reference row. Let me look up reference tables. The month is April 2026. Need to know first-half vs second-half boundaries. Let me lookup both.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.24"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "1100.00",
  "upper": "3600.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(2107.50, 4500.00) * 0.07, 2)\navailable = 2107.50 - contribution\ntaxable = 2107.50 - contribution - 273.91\nmiddle = round(max(0, min(taxable, 3600.00) - 1000.00) * 0.08, 2)\nupper = round(max(0, taxable - 3600.00) * 0.24, 2)\ntax = round(middle + upper, 2)\nnet = 2107.50 - contribution - 273.91 - tax")
Reasoning
Payroll month 2026-04 falls in first-half (2026-01 through 2026-06). So selected row: rate 0.07, cap 4500.00, deduction 400.00, free 1000.00, upper 3600.00, middle_rate 0.08, upper_rate 0.24.

Gross pay = 2107.50
Employee contribution = rate * min(gross, cap) = 0.07 * min(2107.50, 4500) = 0.07*2107.50 = 147.525 → round half up = 147.53? Let's compute: 2107.50*0.07 = 147.525. Round half up to 2 decimals = 147.53.

Allowed deduction = 273.91. Must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution = 2107.50 - 147.53 = 1959.97. 273.91 ≤ 400 and ≤ 1959.97, valid.

Taxable pay = gross - employee contribution - allowed deduction = 2107.50 - 147.53 - 273.91 = 1686.06.

Income tax: taxable pay 1686.06. Free 1000.00 untaxed. Portion above free up to upper boundary 3600.00 uses middle rate. 1686.06 - 1000 = 686.06, which is below 3600. So middle rate 0.08 * 686.06 = 54.8848 → round = 54.88.

Net pay = gross - employee contribution - allowed deduction - income tax = 2107.50 - 147.53 - 273.91 - 54.88 = 1631.18.

Let me verify with calculate.

Actually let me do all arithmetic via calculate.
Tool
{
  "results": {"contribution": "147.53", "available": "1959.97", "taxable": "1686.06", "middle": "54.88", "upper": "0.00", "tax": "54.88", "net": "1631.18"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "2107.50",
  "employee_contribution": "147.53",
  "allowed_deduction": "273.91",
  "taxable_pay": "1686.06",
  "income_tax": "54.88",
  "net_pay": "1631.18",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All good. Now return JSON with decision calculate, currency LCR, and fields. Clauses R1-R6.

No amendment present, so cite R1 through R6.
Rollout #3 100.0% passed · 5 tool calls · 6.1s · $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": "9c34fc341666103e-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="9c34fc341666103e-payroll")
Reasoning
Let me read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "2107.50", "payroll_month": "2026-04", "allowed_deduction": "273.91"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Now I need the reference row for 2026-04. Let me lookup both halves.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1000.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.24"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "5000.00",
  "deduction": "400.00",
  "free": "1100.00",
  "upper": "3600.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(2107.50, 4500.00) * 0.07, 2)\ntaxable = 2107.50 - contribution - 273.91\ntax = round(max(0, min(taxable, 3600.00) - 1000.00) * 0.08 + max(0, taxable - 3600.00) * 0.24, 2)\nnet = 2107.50 - contribution - 273.91 - tax")
Reasoning
Payroll month 2026-04 falls in first-half (2026-01 to 2026-06). So use first-half row.

rate = 0.07, cap = 4500.00, deduction cap = 400.00, free = 1000.00, upper = 3600.00, middle_rate = 0.08, upper_rate = 0.24.

gross_pay = 2107.50, allowed_deduction = 273.91.

Employee contribution = rate * min(gross, cap) = 0.07 * min(2107.50, 4500.00) = 0.07 * 2107.50 = 147.525 → round half up = 147.53.

Allowed deduction check: must not exceed deduction cap (400.00) and gross pay minus rounded employee contribution (2107.50 - 147.53 = 1959.97). 273.91 ≤ 400 and ≤ 1959.97. OK.

Taxable pay = gross - employee contribution - allowed deduction = 2107.50 - 147.53 - 273.91 = 1686.06.

Income tax: taxable pay 1686.06. Free = 1000.00 untaxed. Portion above free up to upper (3600): 1686.06 - 1000 = 686.06 at middle rate 0.08 = 54.8848 → not rounded separately. Above upper: none.

Total income tax = 54.8848 → round = 54.88.

Net pay = gross - contribution - deduction - tax = 2107.50 - 147.53 - 273.91 - 54.88 = 1631.18.

Let me compute: 2107.50 - 147.53 = 1959.97. -273.91 = 1686.06. -54.88 = 1631.18.

Let me verify with calculator.
Tool
{
  "results": {"contribution": "147.53", "taxable": "1686.06", "tax": "54.88", "net": "1631.18"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "2107.50",
  "employee_contribution": "147.53",
  "allowed_deduction": "273.91",
  "taxable_pay": "1686.06",
  "income_tax": "54.88",
  "net_pay": "1631.18",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All values confirmed.

Now produce JSON. Clauses: R1 through R6 (no amendment needed). Actually R1-R6. Let me include R1, R2, R3, R4, R5, R6.

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