Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 99
DeepSeek V4.1 Flash · Single-turn · Task 99 (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 9174.15 9174.15 9174.15 9174.15
employee contribution 160.00 160.00 160.00 160.00
allowed deduction 353.50 353.50 353.50 353.50
taxable pay 8660.65 8660.65 8660.65 8660.65
income tax 1438.13 1438.13 1438.13 1438.13
net pay 7222.52 7222.52 7222.52 7222.52
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: {"b91d767a6a759d3c-payroll": {"kind": "payroll", "record": {"gross_pay": "9174.15", "payroll_month": "2026-07", "allowed_deduction": "353.50"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.08", "cap": "4000.00", "deduction": "400.00", "free": "1200.00", "upper": "3300.00", "middle_rate": "0.10", "upper_rate": "0.18"}, "second-half": {"rate": "0.04", "cap": "4000.00", "deduction": "400.00", "free": "900.00", "upper": "2800.00", "middle_rate": "0.14", "upper_rate": "0.20"}}
Rollouts
Rollout #1 100.0% passed · 4.1s · $0.0007
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": "9174.15",
  "employee_contribution": "160.00",
  "allowed_deduction": "353.50",
  "taxable_pay": "8660.65",
  "income_tax": "1438.13",
  "net_pay": "7222.52",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need compute. Need follow rules. We have payroll_month 2026-07 -> second-half row from authoritative schedule. Values: rate 0.04, cap 4000.00, deduction cap 400.00, free 900.00, upper 2800.00, middle_rate 0.14, upper_rate 0.20.

Gross 9174.15. allowed_deduction given 353.50. Need check cap 400 and gross - employee contribution. Employee contribution = rate * min(gross, cap) = 0.04 * 4000.00 = 160.00. Rounded 160.00. Available gross minus contribution = 9174.15 - 160.00 = 9014.15. allowed 353.50 <= 400 and <= 9014.15 yes.

Taxable pay = gross - employee_contribution - allowed_deduction = 9174.15 - 160.00 - 353.50 = 8660.65? Compute 9174.15 - 160 = 9014.15. minus 353.50 = 8660.65. Yes.

Income tax progressive:
Tax-free amount 900.00 untaxed.
Middle bracket: taxable pay above free up to upper boundary 2800.00. Portion = 2800.00 - 900.00 = 1900.00. Middle rate 0.14 -> 266.00.
Upper bracket: portion above 2800.00 = 8660.65 - 2800.00 = 5860.65. Upper rate 0.20 -> 1172.13? 5860.65 * 0.20 = 1172.130 = 1172.13. Sum = 266.00 + 1172.13 = 1438.13. No separate rounding issue? Middle exact, upper exact at two decimals? 5860.65*0.2 = 1172.13 exactly two decimals. Sum 1438.13.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 9174.15 - 160.00 - 353.50 - 1438.13. Compute 9174.15 - 160 = 9014.15; -353.50 = 8660.65; -1438.13 = 7222.52. Alternatively taxable 8660.65 - tax 1438.13 = 7222.52. Yes.

Need answer fields exactly required: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation? Not needed. Money strings two decimals. Clauses cite R1-R6. Since no amendment. Include R1 through R6. Need maybe clauses array. Format? The prompt: "Allowed answer fields: calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses". So JSON object with those. Clauses likely list of strings. Use "R1","R2","R3","R4","R5","R6". No R9. Need no markdown.

Ensure no input-only fields. Use decision "calculate". Currency "LCR".

Double-check if allowed_deduction is 353.50, within cap 400.00. Yes.

Potential issue: R1 says select reference row using payroll month, not doc upload. Authoritative schedule second-half. Yes.

Need maybe include explanation? Optional permitted but not necessary. Don't include if not needed.

Let's craft JSON.
Rollout #2 100.0% passed · 6.1s · $0.0009
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": "9174.15",
  "employee_contribution": "160.00",
  "allowed_deduction": "353.50",
  "taxable_pay": "8660.65",
  "income_tax": "1438.13",
  "net_pay": "7222.52",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need follow rules. Let's parse.

Record gross_pay 9174.15, payroll_month 2026-07, allowed_deduction 353.50. Authoritative schedule second-half applies. Values: rate 0.04, cap 4000.00, deduction cap 400.00, free 900.00, upper 2800.00, middle_rate 0.14, upper_rate 0.20.

Need calculate.

R3 employee contribution = rate * min(gross, cap). min(9174.15, 4000)=4000.00. 0.04*4000=160.00. Rounded 160.00.

R4 allowed_deduction defaults 0 but given 353.50. Must not exceed selected deduction cap 400.00 or gross minus rounded employee contribution. gross - contribution = 9174.15 - 160.00 = 9014.15. 353.50 <=400 and <=9014.15. OK. taxable_pay = gross - employee_contribution - allowed_deduction = 9174.15 -160 -353.50 = 8660.65? Let's compute: 9174.15 - 160.00 = 9014.15. minus 353.50 = 8660.65 yes.

R5 income tax progressive:
Taxable 8660.65.
Tax-free amount 900.00 untaxed.
Portion above free up to upper bracket boundary 2800.00 uses middle 0.14. Need interpret upper bracket begins? Table has "Upper bracket begins" 2800.00. Taxable pay up to tax-free untaxed. Portion above that amount up to upper-bracket boundary uses middle. Portion above upper-bracket boundary uses upper. So middle bracket amount = max(0, min(taxable, upper) - free). Since taxable > upper: min(8660.65,2800)=2800; -900 =1900.00. Middle tax = 1900 * 0.14 = 266.00.
Upper portion = taxable - upper = 8660.65 - 2800 = 5860.65. Upper tax = 5860.65 * 0.20 = 1172.13? Compute 5860.65*0.2 = 1172.130. Round? It's exactly 1172.13 (two decimals). Total income tax = 266 + 1172.13 = 1438.13. Need round total under R2. 1438.13.

Net pay = gross - employee contribution - allowed deduction - income tax = 9174.15 -160 -353.50 -1438.13 = ? 9174.15 -160=9014.15; -353.50=8660.65; -1438.13 = 7222.52. Check: 8660.65 - 1438.13 = 7222.52.

Need return JSON with decision calculate, currency LCR, fields strings two decimals: gross_pay "9174.15", employee_contribution "160.00", allowed_deduction "353.50", taxable_pay "8660.65", income_tax "1438.13", net_pay "7222.52", clauses. Clause references supporting calculation. Calculated answers cite R1 through R6. No amendment. So clauses likely ["R1","R2","R3","R4","R5","R6"]. Maybe include R1 for schedule? Use exactly required answer fields and only clauses that directly govern. We can include explanation optional? Not needed. Need no markdown. Ensure JSON object.

Need consider allowed_deduction cap: schedule deduction 400.00. Given 353.50 valid. Good.

Need ensure no input-only fields. Use exactly required fields. "calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses". Yes.

Potential issue: R2 money input non-negative decimal at most two fractional digits. gross 9174.15 valid. allowed 353.50 valid. Schedule values. Good.

Potential issue: contribution rate 0.04; cap 4000.00. Employee contribution 160.00.

Potential issue: Income tax rounding: Do not round intermediate bracket products separately before summing income tax. But middle 266 exact, upper 1172.130 exact. Sum 1438.13. If not rounding intermediate, same. Good.

Need final only JSON. Use no prose.
Rollout #3 100.0% passed · 4.6s · $0.0008
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": "9174.15",
  "employee_contribution": "160.00",
  "allowed_deduction": "353.50",
  "taxable_pay": "8660.65",
  "income_tax": "1438.13",
  "net_pay": "7222.52",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need calculate. Need follow rules. Need parse.

We have payroll record gross_pay 9174.15, payroll_month 2026-07, allowed_deduction 353.50. Authoritative schedule second-half applies for 2026-07 through 12. Values: rate 0.04, cap 4000.00, deduction cap 400.00, free 900.00, upper begins 2800.00, middle 0.14, upper 0.20.

Need check allowed_deduction <= deduction cap 400.00 yes 353.50. Also must not exceed gross_pay minus rounded employee contribution. Compute employee contribution = rate * min(gross, cap) = 0.04 * 4000.00 = 160.00. Rounded 160.00. Gross - contrib = 9174.15 - 160 = 9014.15. allowed 353.50 <= yes.

Taxable pay = gross - employee contribution - allowed deduction = 9174.15 - 160.00 - 353.50 = 8660.65? Let's compute: 9174.15 - 160 = 9014.15; -353.50 = 8660.65. Yes.

Income tax progressive:
Taxable pay 8660.65.
Tax-free up to 900.00: untaxed.
Portion above free up to upper bracket boundary 2800.00? Need interpret: "Taxable pay up to tax-free amount untaxed. Portion above that amount up to upper-bracket boundary uses middle rate. Portion above upper-bracket boundary uses upper rate." Upper bracket begins 2800.00. So middle applies on taxable pay between 900 and 2800 = 1900.00 at 0.14 = 266.00.
Upper applies on amount above 2800: 8660.65 - 2800 = 5860.65 at 0.20 = 1172.13? Compute 5860.65*0.20 = 1172.130 = 1172.13. Total income tax = 266 + 1172.13 = 1438.13. Round half-up already two decimals. Need not round intermediate separately? We did exact. 1900*0.14=266.00. Sum 1438.13.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 9174.15 - 160.00 - 353.50 - 1438.13.
9174.15-160=9014.15; -353.50=8660.65; -1438.13 = 7222.52. Check: 8660.65 - 1438.13 = 7222.52. Yes.

Need output fields: decision calculate, currency LCR, gross_pay "9174.15", employee_contribution "160.00", allowed_deduction "353.50", taxable_pay "8660.65", income_tax "1438.13", net_pay "7222.52", clauses. Clauses should cite R1 through R6. Any R9? No amendment conflict. So ["R1","R2","R3","R4","R5","R6"]. Maybe R1 for schedule. Need exactly required answer fields and only clauses directly govern. Include optional explanation? Not necessary. Must no markdown. Money strings two decimals.

Need ensure no input-only fields. Good.

Double-check if allowed_deduction input 353.50 exceeds selected deduction cap? second-half cap 400.00 yes. If default? schedule deduction 400.00. okay.

Potential issue: "When supplied, its numeric values replace defaults above for that case only." So second-half row rate 0.04, cap 4000, deduction 400, free 900, upper 2800, middle 0.14, upper 0.20. Yes.

Need cite R1 through R6. Could include R4? yes. The clauses array maybe ["R1","R2","R3","R4","R5","R6"]. No explanation.

Need final JSON object no fences.