Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 19
DeepSeek V4.1 Flash · Tool use · Task 19 (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 4326.01 4326.01 4326.01 4326.01
employee contribution 302.82 302.82 302.82 302.82
allowed deduction 386.64 386.64 386.64 386.64
taxable pay 3636.55 3636.55 3636.55 3636.55
income tax 198.58 198.58 198.58 198.58
net pay 3437.97 3437.97 3437.97 3437.97
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 · 6.6s · $0.0023
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": "f8d9f5fe0eb33c57-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="f8d9f5fe0eb33c57-payroll")
Reasoning
Let me read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "4326.01", "payroll_month": "2026-03", "allowed_deduction": "386.64"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-03, first-half. Need reference row. Let me lookup first-half and second-half.

Actually the month 2026-03 is in the first half (Jan-Jun). Let me look up both to be safe.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.05",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.22"
}
Assistant
calculate(program="gross = 4326.01\ncap = 4500.00\nrate = 0.07\nemployee_contribution = round(min(gross, cap) * rate, 2)\navailable = gross - employee_contribution\nallowed_deduction = 386.64\ntaxable_pay = gross - employee_contribution - allowed_deduction\nfree = 1200.00\nupper = 3600.00\nmiddle_rate = 0.08\nupper_rate = 0.18\nmiddle_tax = max(0, min(taxable_pay, upper) - free) * middle_rate\nupper_tax = max(0, taxable_pay - upper) * upper_rate\nincome_tax = round(middle_tax + upper_tax, 2)\nnet_pay = round(gross - employee_contribution - allowed_deduction - income_tax, 2)")
Reasoning
Month 2026-03 → first-half row. rate=0.07, cap=4500.00, deduction=400.00, free=1200.00, upper=3600.00, middle_rate=0.08, upper_rate=0.18.

Gross pay = 4326.01. No contract_gross_pay, no amendment.

Employee contribution = rate * min(gross, cap) = 0.07 * min(4326.01, 4500.00) = 0.07 * 4326.01 = 302.8207 → round half up → 302.82.

Allowed deduction: given 386.64. Must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (4326.01 - 302.82 = 4023.19). 386.64 ≤ 400 and ≤ 4023.19. OK.

Taxable pay = gross - employee contribution - allowed deduction = 4326.01 - 302.82 - 386.64 = 3636.55.

Income tax: taxable 3636.55. Free 1200.00. Portion above free up to upper boundary 3600.00: 3600.00 - 1200.00 = 2400.00 at middle rate 0.08 = 192.00. Portion above upper boundary: 3636.55 - 3600.00 = 36.55 at upper rate 0.18 = 6.579 → 6.58? Wait, R2 says do not round intermediate bracket products separately before summing. So compute 2400.00*0.08 + 36.55*0.18 = 192.00 + 6.579 = 198.579 → round → 198.58.

Net pay = gross - employee contribution - allowed deduction - income tax = 4326.01 - 302.82 - 386.64 - 198.58 = 3437.97.

Let me verify with calculate.
Tool
{
  "results": {"gross": "4326.01", "cap": "4500.00", "rate": "0.07", "employee_contribution": "302.82", "available": "4023.19", "allowed_deduction": "386.64", "taxable_pay": "3636.55", "free": "1200.00", "upper": "3600.00", "middle_rate": "0.08", "upper_rate": "0.18", "middle_tax": "192.0000", "upper_tax": "6.5790", "income_tax": "198.58", "net_pay": "3437.97"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4326.01",
  "employee_contribution": "302.82",
  "allowed_deduction": "386.64",
  "taxable_pay": "3636.55",
  "income_tax": "198.58",
  "net_pay": "3437.97",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-03 falls in the first-half reference row (rate 0.07, cap 4500.00, deduction 400.00, free 1200.00, upper 3600.00, middle 0.08, upper 0.18). Contribution = 0.07 \u00d7 min(4326.01, 4500.00) = 302.82; allowed deduction 386.64 is within the 400.00 cap and available pay 4023.19. Taxable pay = 3636.55; tax = 2400.00\u00d70.08 + 36.55\u00d70.18 = 198.58. Net pay = 3437.97."
}
Reasoning
All checks pass. Return calculate answer.

Clauses: R1 through R6 (R9 not needed). Cite R1-R6.
Rollout #2 100.0% passed · 4 tool calls · 6.6s · $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": "f8d9f5fe0eb33c57-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="f8d9f5fe0eb33c57-payroll")
Reasoning
Let me read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "4326.01", "payroll_month": "2026-03", "allowed_deduction": "386.64"}
}
Assistant
lookup_reference(reference="first-half")
Reasoning
Payroll month 2026-03, first half of 2026. Need reference row. Let me lookup first-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Assistant
calculate(program="gross = 4326.01\ncontribution = round(min(4326.01, 4500.00) * 0.07, 2)\ntaxable = gross - contribution - 386.64\nincome_tax = round(2400.00 * 0.08 + (taxable - 3600.00) * 0.18, 2)\nnet = gross - contribution - 386.64 - income_tax")
Reasoning
Month 2026-03 covered by first-half (2026-01 to 2026-06). 

Gross pay = 4326.01
Contribution rate = 0.07, cap = 4500.00
min(4326.01, 4500.00) = 4326.01
contribution = 4326.01 * 0.07 = 302.8207 → round half up = 302.82

allowed_deduction = 386.64. Check cap: deduction cap = 400.00. Also must not exceed gross pay minus rounded employee contribution = 4326.01 - 302.82 = 4023.19. 386.64 ≤ 400.00 and ≤ 4023.19. OK.

taxable_pay = gross - contribution - allowed_deduction = 4326.01 - 302.82 - 386.64 = 3636.55

Income tax: free = 1200.00, upper = 3600.00, middle_rate = 0.08, upper_rate = 0.18.
Taxable pay 3636.55. Portion up to 1200 untaxed. Portion above 1200 up to 3600 uses middle rate: (3600 - 1200) = 2400 * 0.08 = 192.00. Portion above 3600: 3636.55 - 3600 = 36.55 * 0.18 = 6.579 → 6.58? Wait, R2 says do not round intermediate bracket products separately before summing income tax. So sum products then round total.

Total = 2400*0.08 + 36.55*0.18 = 192.00 + 6.579 = 198.579 → round half up = 198.58.

net_pay = gross - contribution - allowed_deduction - income_tax = 4326.01 - 302.82 - 386.64 - 198.58 = 3437.97

Let me compute: 4326.01 - 302.82 = 4023.19. 4023.19 - 386.64 = 3636.55. 3636.55 - 198.58 = 3437.97.

Let me use calculate to verify.
Tool
{
  "results": {"gross": "4326.01", "contribution": "302.82", "taxable": "3636.55", "income_tax": "198.58", "net": "3437.97"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4326.01",
  "employee_contribution": "302.82",
  "allowed_deduction": "386.64",
  "taxable_pay": "3636.55",
  "income_tax": "198.58",
  "net_pay": "3437.97",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-03 selects the first-half row (rate 0.07, cap 4500.00, deduction cap 400.00, free 1200.00, upper 3600.00, middle 0.08, upper 0.18). Contribution = round(min(4326.01,4500.00)*0.07,2) = 302.82. Allowed deduction 386.64 is within the 400.00 cap and within gross minus contribution. Taxable pay = 3636.55; tax = round(2400.00*0.08 + 36.55*0.18, 2) = 198.58. Net = 4326.01 - 302.82 - 386.64 - 198.58 = 3437.97."
}
Reasoning
All checks pass. Return calculate answer.

Clauses: R1 through R6. No amendment needed. So cite R1, R2, R3, R4, R5, R6.
Rollout #3 100.0% passed · 5 tool calls · 6.0s · $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": "f8d9f5fe0eb33c57-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="f8d9f5fe0eb33c57-payroll")
Reasoning
Read the payroll document.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "4326.01", "payroll_month": "2026-03", "allowed_deduction": "386.64"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-03, first half. Need reference rows via lookup_reference.

Let me look up first-half and second-half.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.07",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.18"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.05",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3600.00",
  "middle_rate": "0.08",
  "upper_rate": "0.22"
}
Assistant
calculate(program="contribution = round(min(4326.01, 4500.00) * 0.07, 2)\ntaxable = 4326.01 - contribution - 386.64\ntax = round(2400.00 * 0.08 + (taxable - 3600.00) * 0.18, 2)\nnet = 4326.01 - contribution - 386.64 - tax")
Reasoning
Payroll month 2026-03 falls in first-half (2026-01 to 2026-06). So first-half row applies.

Gross pay = 4326.01
rate = 0.07, cap = 4500.00
Employee contribution = 0.07 * min(4326.01, 4500.00) = 0.07 * 4326.01 = 302.8207 → round 302.82

Allowed deduction = 386.64. Check cap: deduction cap = 400.00. 386.64 <= 400.00 ok. Check gross minus rounded contribution = 4326.01 - 302.82 = 4023.19. 386.64 <= 4023.19 ok.

Taxable pay = gross - contribution - allowed deduction = 4326.01 - 302.82 - 386.64 = 3636.55.

Income tax: free = 1200.00, upper = 3600.00, middle_rate = 0.08, upper_rate = 0.18.
Taxable pay 3636.55.
Portion up to free untaxed: 1200.
Portion from 1200 to 3600 = 2400 at 0.08 = 192.00.
Portion above 3600 = 3636.55 - 3600 = 36.55 at 0.18 = 6.579 → 6.58.
Total = 192.00 + 6.58 = 198.58. Wait, don't round intermediate bracket products separately before summing. So compute 2400*0.08 + 36.55*0.18 = 192 + 6.579 = 198.579 → round = 198.58.

Net pay = 4326.01 - 302.82 - 386.64 - 198.58 = 3437.97.

Let me compute: 4326.01 - 302.82 = 4023.19. -386.64 = 3636.55. -198.58 = 3437.97.

Let me verify with calculator.
Tool
{
  "results": {"contribution": "302.82", "taxable": "3636.55", "tax": "198.58", "net": "3437.97"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4326.01",
  "employee_contribution": "302.82",
  "allowed_deduction": "386.64",
  "taxable_pay": "3636.55",
  "income_tax": "198.58",
  "net_pay": "3437.97",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
All checks pass. No contract_gross_pay, no amendment. Return calculate.

Clauses: R1 through R6. No amendment needed, so no R9.