Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 58
DeepSeek V4.1 Flash · Tool use · Task 58 (Calculation, below tax-free line, resolved amendment) 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 599.56 599.56 599.56 599.56
employee contribution 35.97 35.97 35.97 35.97
allowed deduction 68.60 68.60 68.60 68.60
taxable pay 494.99 494.99 494.99 494.99
income tax 0.00 0.00 0.00 0.00
net pay 494.99 494.99 494.99 494.99
clauses R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9
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 · 6 tool calls · 5.5s · $0.0019
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
list_documents()
Reasoning
Let me start by listing documents.
Tool
[
  {"id": "168ee1fead32400b-payroll", "kind": "payroll"},
  {"id": "168ee1fead32400b-contract", "kind": "contract"},
  {"id": "168ee1fead32400b-amendment", "kind": "amendment"}
]
Assistant
read_document(document_id="168ee1fead32400b-payroll")read_document(document_id="168ee1fead32400b-contract")read_document(document_id="168ee1fead32400b-amendment")
Reasoning
Read all three.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "599.56", "payroll_month": "2026-12", "allowed_deduction": "68.60"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1019.55"
}
Tool
{
  "kind": "amendment",
  "gross_pay": "599.56",
  "approved": true,
  "effective_month": "2026-01"
}
Assistant
lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-12, second-half. Need reference rows via lookup_reference. Contract gross pay 1019.55 differs from gross_pay 599.56. Amendment: approved true, effective_month 2026-01 ≤ 2026-12, amount 599.56 equals payroll record's gross pay → resolves conflict.

Now lookup second-half reference.
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.06",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "2800.00",
  "middle_rate": "0.14",
  "upper_rate": "0.20"
}
Assistant
calculate(program="contribution = round(min(599.56, 4000.00) * 0.06, 2)\ntaxable = round(599.56 - contribution - 68.60, 2)\nincome_tax = round(0.00, 2)\nnet = round(599.56 - contribution - 68.60 - income_tax, 2)")
Reasoning
Now compute.

Gross pay = 599.56
Employee contribution = rate * min(gross, cap) = 0.06 * 599.56 = 35.9736 → round half up = 35.97.

Allowed deduction = 68.60. Check cap: must not exceed deduction cap (400.00) or gross minus rounded employee contribution = 599.56 - 35.97 = 563.59. 68.60 ≤ both. OK.

Taxable pay = 599.56 - 35.97 - 68.60 = 494.99.

Income tax: taxable pay 494.99 ≤ free 900.00 → 0.00.

Net pay = 599.56 - 35.97 - 68.60 - 0.00 = 494.99.

Let me verify with calculate.
Tool
{
  "results": {"contribution": "35.97", "taxable": "494.99", "income_tax": "0.00", "net": "494.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "599.56",
  "employee_contribution": "35.97",
  "allowed_deduction": "68.60",
  "taxable_pay": "494.99",
  "income_tax": "0.00",
  "net_pay": "494.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"],
  "explanation": "Payroll month 2026-12 selects the second-half row (rate 0.06, cap 4000.00, deduction cap 400.00, free 900.00, upper 2800.00, middle 0.14, upper 0.20). The contract gross pay conflict is resolved by the approved amendment effective 2026-01 whose amount 599.56 equals the payroll record. Contribution = 0.06 \u00d7 min(599.56, 4000.00) = 35.97. Allowed deduction 68.60 is within the cap and available pay. Taxable pay = 599.56 \u2212 35.97 \u2212 68.60 = 494.99, which is at or below the 900.00 tax-free amount, so income tax is 0.00. Net pay = 599.56 \u2212 35.97 \u2212 68.60 \u2212 0.00 = 494.99."
}
Reasoning
All good. Amendment resolves conflict, so cite R1-R6 and R9.

Output JSON with decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses.
Rollout #2 100.0% passed · 7 tool calls · 5.2s · $0.0022
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
list_documents()
Reasoning
Let me start by listing documents.
Tool
[
  {"id": "168ee1fead32400b-payroll", "kind": "payroll"},
  {"id": "168ee1fead32400b-contract", "kind": "contract"},
  {"id": "168ee1fead32400b-amendment", "kind": "amendment"}
]
Assistant
read_document(document_id="168ee1fead32400b-payroll")read_document(document_id="168ee1fead32400b-contract")read_document(document_id="168ee1fead32400b-amendment")
Reasoning
Let me read all documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "599.56", "payroll_month": "2026-12", "allowed_deduction": "68.60"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1019.55"
}
Tool
{
  "kind": "amendment",
  "gross_pay": "599.56",
  "approved": true,
  "effective_month": "2026-01"
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")
Reasoning
Payroll: gross_pay 599.56, month 2026-12, allowed_deduction 68.60.

Contract gross_pay 1019.55 differs from gross_pay 599.56. Amendment: gross_pay 599.56, approved true, effective_month 2026-01 ≤ 2026-12, amount equals payroll record's gross pay 599.56. So amendment resolves conflict. Cite R9.

Now I need reference row for 2026-12. Only 2026 covered. Need to lookup reference. Which half? December is second-half. Let me lookup both to see effective months.
Tool
{
  "reference": "first-half",
  "months": ["2026-01", "2026-06"],
  "rate": "0.06",
  "cap": "4500.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "3000.00",
  "middle_rate": "0.14",
  "upper_rate": "0.22"
}
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.06",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "2800.00",
  "middle_rate": "0.14",
  "upper_rate": "0.20"
}
Assistant
calculate(program="contribution = round(min(599.56, 4000.00) * 0.06, 2)\ntaxable = 599.56 - contribution - 68.60\ntax = round(0.00, 2)\nnet = 599.56 - contribution - 68.60 - tax")
Reasoning
Month 2026-12 falls in second-half. Row: rate 0.06, cap 4000.00, deduction 400.00, free 900.00, upper 2800.00, middle_rate 0.14, upper_rate 0.20.

Compute:
employee_contribution = round(min(599.56, 4000.00) * 0.06, 2) = round(35.9736, 2) = 35.97.

allowed_deduction = 68.60. Check: must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (599.56 - 35.97 = 563.59). 68.60 ≤ 400 and ≤ 563.59. OK.

taxable_pay = 599.56 - 35.97 - 68.60 = 494.99.

Income tax: taxable pay 494.99 ≤ free 900.00, so income tax = 0.00.

net_pay = 599.56 - 35.97 - 68.60 - 0.00 = 494.99.

Let me verify with calculate.
Tool
{
  "results": {"contribution": "35.97", "taxable": "494.99", "tax": "0.00", "net": "494.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "599.56",
  "employee_contribution": "35.97",
  "allowed_deduction": "68.60",
  "taxable_pay": "494.99",
  "income_tax": "0.00",
  "net_pay": "494.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"],
  "explanation": "Payroll month 2026-12 selects the second-half row (rate 0.06, cap 4000.00, deduction cap 400.00, free 900.00, upper 2800.00, middle 0.14, upper 0.20). Employee contribution = round(min(599.56, 4000.00) * 0.06, 2) = 35.97. Allowed deduction 68.60 is within the cap and within gross minus contribution (563.59). Taxable pay = 599.56 - 35.97 - 68.60 = 494.99, which is below the 900.00 tax-free amount, so income tax is 0.00. Net pay = 494.99. The contract gross pay conflict is resolved by the approved amendment effective 2026-01 matching the payroll gross pay, per R9."
}
Reasoning
All good. Amendment resolves conflict, cite R9. Clauses R1-R6, R9.

Output JSON.
Rollout #3 100.0% passed · 6 tool calls · 6.1s · $0.0019
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
list_documents()
Reasoning
Let me start by listing documents.
Tool
[
  {"id": "168ee1fead32400b-payroll", "kind": "payroll"},
  {"id": "168ee1fead32400b-contract", "kind": "contract"},
  {"id": "168ee1fead32400b-amendment", "kind": "amendment"}
]
Assistant
read_document(document_id="168ee1fead32400b-payroll")read_document(document_id="168ee1fead32400b-contract")read_document(document_id="168ee1fead32400b-amendment")
Reasoning
Read all documents.
Tool
{
  "kind": "payroll",
  "record": {"gross_pay": "599.56", "payroll_month": "2026-12", "allowed_deduction": "68.60"}
}
Tool
{
  "kind": "contract",
  "gross_pay": "1019.55"
}
Tool
{
  "kind": "amendment",
  "gross_pay": "599.56",
  "approved": true,
  "effective_month": "2026-01"
}
Assistant
lookup_reference(reference="second-half")
Reasoning
Payroll month 2026-12, second half. Need reference row. Let's lookup second-half.

Contract gross pay 1019.55 differs from gross_pay 599.56. Amendment: approved true, effective_month 2026-01 <= 2026-12, amount 599.56 equals payroll gross pay. So resolves conflict. Good.

Now lookup reference second-half.
Tool
{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.06",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "900.00",
  "upper": "2800.00",
  "middle_rate": "0.14",
  "upper_rate": "0.20"
}
Assistant
calculate(program="contribution = round(min(599.56, 4000.00) * 0.06, 2)\ntaxable = 599.56 - contribution - 68.60\nincome_tax = round(0.00, 2)\nnet = 599.56 - contribution - 68.60 - income_tax")
Reasoning
Second-half row: rate 0.06, cap 4000.00, deduction cap 400.00, free 900.00, upper 2800.00, middle_rate 0.14, upper_rate 0.20.

Gross pay 599.56, month 2026-12 covered.

Employee contribution = 0.06 * min(599.56, 4000.00) = 0.06*599.56 = 35.9736 -> round 35.97.

Allowed deduction: given 68.60. Must not exceed deduction cap 400.00 or gross pay minus rounded employee contribution = 599.56 - 35.97 = 563.59. 68.60 <= 563.59 ok.

Taxable pay = 599.56 - 35.97 - 68.60 = 494.99.

Income tax: taxable pay up to free 900.00 untaxed. 494.99 < 900, so income tax = 0.00.

Net pay = 599.56 - 35.97 - 68.60 - 0.00 = 494.99.

Let me compute with calculator to be exact.
Tool
{
  "results": {"contribution": "35.97", "taxable": "494.99", "income_tax": "0.00", "net": "494.99"}
}
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "599.56",
  "employee_contribution": "35.97",
  "allowed_deduction": "68.60",
  "taxable_pay": "494.99",
  "income_tax": "0.00",
  "net_pay": "494.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"],
  "explanation": "Payroll month 2026-12 uses the second-half row (rate 0.06, cap 4000.00, deduction cap 400.00, free 900.00). The contract gross pay conflict is resolved by the approved amendment effective 2026-01 matching gross pay 599.56. Contribution = 0.06 * min(599.56, 4000.00) = 35.97; taxable pay = 599.56 - 35.97 - 68.60 = 494.99, which is below the 900.00 tax-free amount, so income tax is 0.00; net pay = 494.99."
}
Reasoning
Return JSON. Clauses: R1-R6, and R9 since amendment needed to resolve conflict.