Luma Payroll Gym
Rules Report
← Heatmap / DeepSeek V4.1 Flash · Task 23
DeepSeek V4.1 Flash · Single-turn · Task 23 (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 7913.09 7913.09 7913.09 7913.09
employee contribution 200.00 200.00 200.00 200.00
allowed deduction 63.29 63.29 63.29 63.29
taxable pay 7649.80 7649.80 7649.80 7649.80
income tax 1246.96 1246.96 1246.96 1246.96
net pay 6402.84 6402.84 6402.84 6402.84
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: {"a605acd47aaaa8d4-payroll": {"kind": "payroll", "record": {"gross_pay": "7913.09", "payroll_month": "2026-01", "allowed_deduction": "63.29"}}, "a605acd47aaaa8d4-contract": {"kind": "contract", "gross_pay": "7913.09"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.05", "cap": "4000.00", "deduction": "400.00", "free": "1000.00", "upper": "2800.00", "middle_rate": "0.10", "upper_rate": "0.22"}, "second-half": {"rate": "0.04", "cap": "3500.00", "deduction": "400.00", "free": "1200.00", "upper": "3300.00", "middle_rate": "0.12", "upper_rate": "0.18"}}
Rollouts
Rollout #1 100.0% passed · 40.6s · $0.0006
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": "7913.09",
  "employee_contribution": "200.00",
  "allowed_deduction": "63.29",
  "taxable_pay": "7649.80",
  "income_tax": "1246.96",
  "net_pay": "6402.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
We need answer JSON only. Need calculate. Need inspect rules. Payroll month 2026-01 first-half authoritative schedule replaces defaults. Gross 7913.09. Contract gross same no conflict. Allowed deduction 63.29. Need contribution rate 0.05 * min(gross, cap 4000)=200.00. Allowed deduction cap 400.00, also must not exceed gross - contribution = 7713.09, 63.29 ok. Taxable pay = gross - contribution - deduction = 7913.09 - 200.00 - 63.29 = 7649.80? Let's compute: 7913.09-200=7713.09; -63.29=7649.80 yes.

Income tax progressive: free 1000.00. upper bracket begins 2800.00. middle rate 0.10, upper rate 0.22. Taxable 7649.80. Portion above free up to upper: 2800-1000=1800 taxed at 10% = 180.00. Portion above upper: 7649.80 - 2800 = 4849.80 taxed at 22% = ? 4849.80*0.22 = 1066.956? Compute 4849.8*22/100 = 1066.956. Sum = 1246.956. Round half-up to two decimals = 1246.96 (third decimal 6). Need not round intermediate? We didn't separately round bracket products? We computed exact product 1066.956 not rounded before sum. Sum 1246.956 rounds 1246.96. Good.

Net pay = gross - contribution - allowed deduction - income tax = 7913.09 - 200.00 - 63.29 - 1246.96 =? 7913.09-200=7713.09; -63.29=7649.80; -1246.96=6402.84. Need fields strings two decimals. clauses cite R1-R6 maybe R1,R2,R3,R4,R5,R6. Since authoritative schedule used under R1, R1. No R9 needed. Decision calculate, currency LCR. allowed_deduction "63.29". taxable_pay "7649.80". employee_contribution "200.00". income_tax "1246.96". net_pay "6402.84". Need exactly required fields and only clauses. Optional explanation permitted but maybe omit. Need no Markdown. Ensure JSON valid. Use clauses array? The rules say clauses. We can do ["R1","R2","R3","R4","R5","R6"]. Good.

Need consider if schedule deduction cap 400.00, allowed 63.29 valid. Yes.

Return one JSON object.
Rollout #2 100.0% passed · 5.6s · $0.0004
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": "7913.09",
  "employee_contribution": "200.00",
  "allowed_deduction": "63.29",
  "taxable_pay": "7649.80",
  "income_tax": "1246.96",
  "net_pay": "6402.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
We need answer JSON only. Need calculate. Need inspect rules. Month 2026-01 first-half. Authoritative schedule replaces defaults: rate 0.05 cap 4000 deduction cap 400 free 1000 upper 2800 middle 0.10 upper 0.22. Gross 7913.09. Contract gross same, no conflict. Allowed deduction 63.29 <= cap 400 and <= gross - contribution. Contribution = 0.05 * min(7913.09,4000)=200.00 exactly. Taxable = gross - contribution - allowed = 7913.09 -200.00 -63.29 = 7649.80? compute: 7913.09-200=7713.09; -63.29=7649.80. Income tax progressive: free 1000, middle portion up to upper boundary 2800? Need interpret: taxable pay up to tax-free untaxed. Portion above free up to upper-bracket boundary uses middle. "Upper bracket begins" = 2800. So middle bracket taxable amount = 2800-1000=1800 at 0.10 =180.00. Portion above 2800 = 7649.80-2800=4849.80 at 0.22 =? 4849.80*0.22 = 1066.956 -> round? Rule don't round intermediate bracket products separately before summing income tax. Total tax = 180 + 1066.956 = 1246.956 -> round half up to 1246.96. If instead round product 1066.96 plus 180=1246.96 same. Net = gross - contribution - allowed - income tax = 7913.09 -200 -63.29 -1246.96 =? 7913.09-200=7713.09; -63.29=7649.80; -1246.96=6402.84. Need output fields decision calculate currency gross_pay employee_contribution allowed_deduction taxable_pay income_tax net_pay clauses. Clauses cite R1-R6? Since no amendment, R1-R6. But R1 includes schedule? Use R1 through R6. Need exact strings two decimals. No explanation. Ensure JSON no markdown.
Rollout #3 100.0% passed · 6.6s · $0.0006
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": "7913.09",
  "employee_contribution": "200.00",
  "allowed_deduction": "63.29",
  "taxable_pay": "7649.80",
  "income_tax": "1246.96",
  "net_pay": "6402.84",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning 
We need answer JSON only. Need calculate. Need inspect rules, schedule replaces defaults. Payroll month 2026-01 first-half. gross 7913.09 allowed deduction 63.29. Contract gross same no conflict. Need compute.

First-half case schedule:
rate 0.05, cap 4000.00, deduction cap 400.00, free 1000.00, upper 2800.00, middle_rate 0.10, upper_rate 0.22.

Employee contribution = 0.05 * min(gross 7913.09, cap 4000) = 200.00 exactly? 4000*0.05=200.00. Round.

Allowed deduction 63.29. Check <= cap 400 yes. <= gross - contribution = 7913.09 - 200 = 7713.09 yes.

Taxable pay = gross - contribution - deduction = 7913.09 - 200.00 - 63.29 = 7649.80? 7913.09-200=7713.09; -63.29=7649.80 yes.

Income tax progressive:
Taxable 7649.80. Free 1000 untaxed. Portion above free up to upper boundary 2800: amount = 2800 - 1000 = 1800 taxed at 10% = 180.00. Portion above upper boundary = 7649.80 - 2800 = 4849.80 at 22% =? 4849.80*0.22 = 1066.956. Round total tax: 180 + 1066.956 = 1246.956 -> round half up 1246.96. Need not round intermediate separately. Since 180 exact and product 1066.956, sum 1246.956 -> 1246.96.

Net = gross - contribution - allowed deduction - income tax = 7913.09 - 200.00 - 63.29 - 1246.96 = ? 7913.09 -200=7713.09; -63.29=7649.80; -1246.96=6402.84. Check.

Need output fields exactly: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation? Probably omit. Clauses cite R1 through R6. Since no amendment needed, not R9. Need maybe clauses array? The instruction says "clauses" field. Likely array of strings. Use ["R1","R2","R3","R4","R5","R6"]. Money strings two decimals. JSON object no markdown.

Need ensure no input-only fields. final only JSON.