Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 92
DeepSeek V4.1 Flash · Single-turn · Task 92 (Calculation, at the wage cap) 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 3999.99 3999.99 3999.99 3999.99
employee contribution 280.00 280.00 280.00 280.00
allowed deduction 391.99 391.99 391.99 391.99
taxable pay 3328.00 3328.00 3328.00 3328.00
income tax 324.16 324.16 324.16 324.16
net pay 3003.84 3003.84 3003.84 3003.84
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.
Source documents: {"96ed6aa66caaba7d-payroll": {"kind": "payroll", "record": {"gross_pay": "3999.99", "payroll_month": "2026-09", "allowed_deduction": "391.99"}}, "96ed6aa66caaba7d-contract": {"kind": "contract", "gross_pay": "3999.99"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.05", "cap": "3500.00", "deduction": "400.00", "free": "1100.00", "upper": "3000.00", "middle_rate": "0.14", "upper_rate": "0.20"}, "second-half": {"rate": "0.07", "cap": "4000.00", "deduction": "400.00", "free": "1200.00", "upper": "3000.00", "middle_rate": "0.14", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 4.1s · $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
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3999.99",
  "employee_contribution": "280.00",
  "allowed_deduction": "391.99",
  "taxable_pay": "3328.00",
  "income_tax": "324.16",
  "net_pay": "3003.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need be careful. We have payroll record gross_pay 3999.99, month 2026-09, allowed_deduction 391.99. Contract gross_pay 3999.99 matches, no conflict. Authoritative schedule second-half for 2026-09: rate 0.07, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.22.

Need calculate.

R3 employee contribution = rate * min(gross, wage cap). Gross 3999.99, cap 4000.00, min = 3999.99. Contribution = 3999.99 * 0.07 = 279.9993. Round half-up to two decimals: 280.00? 279.9993 -> third decimal? Let's do decimal: 3999.99*7/100 = 27999.93/100 = 279.9993. To two decimals: look at third decimal (9) after 279.99? Actually 279.9993: hundredths digit 9? Number 279.9993. To round to 2 decimals: 279.99 with next digit 9 (thousandths) so round up to 280.00. Yes.

Allowed deduction = 391.99. Must not exceed deduction cap 400.00, okay. Must not exceed gross minus rounded employee contribution = 3999.99 - 280.00 = 3719.99. 391.99 <= 3719.99. OK.

Taxable pay = gross - employee_contribution - allowed_deduction = 3999.99 - 280.00 - 391.99 = 3327.? Compute: 3999.99 - 280.00 = 3719.99. -391.99 = 3328.00? 3719.99 - 391.99 = 3328.00 exactly. Let's verify: 391.99 + 3328.00 = 3719.99. Yes taxable_pay = 3328.00.

Income tax progressive:
Tax-free amount 1200.00 untaxed.
Upper bracket begins 3000.00. Middle rate 0.14 on portion above free up to upper. Taxable pay 3328.00. Portion from 1200 to 3000 = 1800.00 taxed at 0.14 = 252.00.
Portion above 3000 = 3328.00 - 3000.00 = 328.00 taxed at upper rate 0.22 = 72.16.
Total = 324.16. Round already two decimals. Do not round intermediate bracket products separately before summing? Here exact. Income_tax = 324.16.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 3999.99 - 280.00 - 391.99 - 324.16 = ? 3999.99 - 280 = 3719.99. -391.99 = 3328.00. -324.16 = 3003.84. Alternatively gross - contrib - ded - tax. Net = 3003.84.

Need return decision calculate, currency LCR, fields strings two decimals. Clauses: calculated answers cite R1 through R6, and R9 only when amendment needed. No amendment. So clauses likely ["R1","R2","R3","R4","R5","R6"]. Need exactly required answer fields and only clauses directly govern. Allowed fields include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but not needed. Need no Markdown. Ensure JSON object.

Check if any issue: The source documents include contract gross_pay matching. No amendment. Good.

Need maybe cite R1-R6. Could include R9? No. "Calculated answers cite R1 through R6, and also R9 only when an amendment is needed to resolve a conflict." So include R1-R6.

Need ensure money strings with two decimal places. gross_pay "3999.99"; employee_contribution "280.00"; allowed_deduction "391.99"; taxable_pay "3328.00"; income_tax "324.16"; net_pay "3003.84". Currency "LCR". decision "calculate".

Double-check R4: allowed deduction must not exceed selected deduction cap or gross pay minus rounded employee contribution. It doesn't. Also "The allowed deduction is withheld from take-home pay as well as reducing taxable pay." We subtracted.

Potential subtlety: R3 contribution uses smaller of monthly gross pay and selected wage cap. Gross 3999.99 < cap 4000.00. Yes.

Potential subtlety: Rounding contribution 279.9993 -> 280.00. Then taxable pay = 3999.99 - 280.00 - 391.99 = 3328.00. If unrounded contribution used, taxable = 3999.99 - 279.9993 - 391.99 = 3328.0007, income maybe 324.160154? But R3 says round contribution, R4 subtract rounded employee contribution. So yes.

Income tax: taxable 3328.00. Middle portion = 3000 - 1200 = 1800 * .14 = 252. Upper = 328 * .22 = 72.16. Total 324.16. Net 3999.99 - 280 - 391.99 - 324.16 = 3003.84. Let's recompute: 3999.99 - 280 = 3719.99. 3719.99 - 391.99 = 3328.00. 3328.00 - 324.16 = 3003.84. Yes.

Need final JSON only.
Rollout #2 100.0% passed · 2.5s · $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
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3999.99",
  "employee_contribution": "280.00",
  "allowed_deduction": "391.99",
  "taxable_pay": "3328.00",
  "income_tax": "324.16",
  "net_pay": "3003.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need be careful.

We have payroll record gross_pay 3999.99, payroll_month 2026-09, allowed_deduction 391.99. Contract gross_pay 3999.99 same. No conflict. Authoritative schedule second-half for 2026-09. Values: rate 0.07, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.22.

Need calculate. Check required: gross_pay present, month present. Month covered by schedule second-half. Contract same gross pay, no amendment needed.

R2 money valid. allowed_deduction 391.99. Need check allowed_deduction <= deduction cap 400.00 and <= gross_pay minus rounded employee contribution.

Compute employee contribution = rate * min(gross, wage cap). gross 3999.99, cap 4000.00, min = 3999.99. rate 0.07. 3999.99*0.07 = 279.9993? Let's calculate: 3999.99 * 7 /100 = 27999.93 /100 = 279.9993. Round half-up to 2 decimals = 280.00 (since third decimal 9? 279.9993 -> 280.00 yes). Employee contribution 280.00.

Allowed deduction = 391.99. Check <= cap 400.00 yes. Check <= gross - rounded employee contribution = 3999.99 - 280.00 = 3719.99. 391.99 <= 3719.99 yes.

Taxable pay = gross - employee contribution - allowed deduction = 3999.99 - 280.00 = 3719.99; minus 391.99 = 3328.00. Let's do exact: 3999.99 - 280.00 = 3719.99. 3719.99 - 391.99 = 3328.00. yes.

Income tax progressive:
Taxable 3328.00. Free 1200.00 untaxed. Upper bracket begins 3000.00. Portion above free up to upper boundary: 3000 - 1200 = 1800 at middle 0.14 = 252.00. Portion above upper: 3328 - 3000 = 328 at upper 0.22 = 72.16. Total = 324.16. Round 324.16.

Net pay = gross - employee contribution - allowed deduction - income tax = 3328.00 - 324.16 = 3003.84. Or 3999.99 - 280.00 - 391.99 - 324.16 = 3003.84.

Need output decision calculate, currency LCR, fields strings two decimals. clauses supporting calculation. Need cite R1-R6? Since no amendment needed, cite R1 through R6. Maybe clauses array ["R1","R2","R3","R4","R5","R6"]. Need include only clauses directly govern answer. R9 not needed. Could include R1 for schedule selection, R2 arithmetic, R3 contribution, R4 deduction/taxable, R5 tax, R6 net/answer. yes.

Need ensure no Markdown fences, exactly JSON object. Optional explanation permitted but not needed. Allowed answer fields for calculate: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. We can include no extra. Money strings two decimals.

Let's double-check rounding half-up: 3999.99*0.07 = 279.9993 -> 280.00. If using decimal, yes. Tax: 1800*0.14 = 252.00. 328*0.22=72.16. total 324.16.

Check allowed_deduction cap: R4 says must not exceed selected deduction cap or gross pay minus rounded employee contribution. 391.99 <= 400 and <=3719.99. OK.

Potential issue: authoritative schedule replaces defaults. Yes.

Potential issue: contract_gross_pay present and differs? It is same "3999.99". So no conflict. No amendment. Good.

Need maybe mention "currency": "LCR".

Final JSON. Ensure no prose.
Rollout #3 100.0% passed · 2.9s · $0.0013
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
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3999.99",
  "employee_contribution": "280.00",
  "allowed_deduction": "391.99",
  "taxable_pay": "3328.00",
  "income_tax": "324.16",
  "net_pay": "3003.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process payroll. Need inspect rules. We have record gross_pay 3999.99, payroll_month 2026-09, allowed_deduction 391.99. Contract gross_pay 3999.99 matches, no conflict. Authoritative case reference schedule supplied. Need use second-half row for 2026-09: rate 0.07, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.14, upper_rate 0.22.

Need calculate employee contribution = rate * min(gross, wage cap). gross 3999.99, cap 4000.00 -> min 3999.99. contribution = 0.07 * 3999.99 = 279.9993. Round half-up to two decimals: 280.00? 279.9993 -> 280.00 yes.

Allowed deduction = 391.99. Must not exceed deduction cap 400.00 or gross minus rounded employee contribution. Gross - contribution = 3999.99 - 280.00 = 3719.99. 391.99 <= 3719.99 and <=400. OK.

Taxable pay = gross - employee contribution - allowed deduction = 3999.99 - 280.00 - 391.99 = 3328.00? Let's compute: 3999.99 - 280.00 = 3719.99. -391.99 = 3328.00 exactly.

Income tax progressive: taxable 3328.00. Free 1200.00. Upper bracket begins 3000.00. Portion above free up to upper: 3000 - 1200 = 1800 at 0.14 = 252.00. Portion above upper: 3328 - 3000 = 328 at 0.22 = 72.16. Total = 324.16. Round 324.16.

Net pay = gross - employee contribution - allowed deduction - income tax = 3999.99 - 280.00 - 391.99 - 324.16 = 3003.84? Compute: 3999.99 - 280 = 3719.99. -391.99 = 3328.00. -324.16 = 3003.84. Yes.

Need include clauses. Calculated answers cite R1 through R6, and also R9 only when amendment needed. No amendment needed. So clauses likely ["R1","R2","R3","R4","R5","R6"]. Need exact answer fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but likely not needed. Need ensure money strings two decimals.

Let's double-check if any issue with source documents? Contract gross_pay matches. The authoritative schedule replaces defaults for that case only. Use second-half. Good.

Need output JSON object no markdown. Ensure all fields. Maybe include clauses as array of strings. The instruction: "Use exactly the required answer fields and only the clauses that directly govern the answer." For calculate required fields include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. We can include explanation optional. Probably omit explanation. Need no input-only fields.

Let's craft:
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3999.99",
  "employee_contribution": "280.00",
  "allowed_deduction": "391.99",
  "taxable_pay": "3328.00",
  "income_tax": "324.16",
  "net_pay": "3003.84",
  "clauses": ["R1","R2","R3","R4","R5","R6"]
}

Check if R2 needed? Yes arithmetic. R1 selecting row. R3 contribution. R4 deduction/taxable. R5 income tax. R6 net. Good.

Need ensure no markdown. Final only JSON.