Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 3
DeepSeek V4.1 Flash · Single-turn · Task 3 (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 5000.02 5000.02 5000.02 5000.02
employee contribution 300.00 300.00 300.00 300.00
allowed deduction 0.00 0.00 0.00 0.00
taxable pay 4700.02 4700.02 4700.02 4700.02
income tax 472.00 472.00 472.00 472.00
net pay 4228.02 4228.02 4228.02 4228.02
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: {"713704016144c9f9-payroll": {"kind": "payroll", "record": {"gross_pay": "5000.02", "payroll_month": "2026-05", "allowed_deduction": "0.00"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.06", "cap": "5000.00", "deduction": "400.00", "free": "1100.00", "upper": "3300.00", "middle_rate": "0.10", "upper_rate": "0.18"}, "second-half": {"rate": "0.07", "cap": "4000.00", "deduction": "400.00", "free": "1100.00", "upper": "3600.00", "middle_rate": "0.12", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 9.5s · $0.0012
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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need calculate under supplied rules and authoritative schedule. Need parse.

Payroll month 2026-05 => first-half row from supplied schedule replaces defaults. Values:
rate 0.06, cap 5000.00, deduction cap 400.00, free 1100.00, upper 3300.00, middle_rate 0.10, upper_rate 0.18.

Gross pay 5000.02. allowed_deduction 0.00.

Employee contribution = rate * min(gross, cap) = 0.06 * 5000.00 = 300.0000 => 300.00 rounded.

Allowed deduction defaults? given 0.00. Must not exceed cap 400 or gross minus rounded contribution = 4700.02. okay.

Taxable pay = gross - employee contribution - allowed deduction = 5000.02 - 300.00 - 0.00 = 4700.02.

Income tax progressive:
Tax-free amount 1100.00 untaxed.
Portion above free up to upper bracket boundary 3300.00 uses middle rate. Need interpret upper bracket begins? Table: Tax-free amount, Upper bracket begins. R5: Taxable pay up to tax-free untaxed. Portion above that amount up to upper-bracket boundary uses middle rate. Portion above upper-bracket boundary uses upper rate. The "upper bracket begins" is boundary. So middle taxable amount = upper - free = 3300 - 1100 = 2200.00 at 0.10 = 220.00.
Portion above upper = taxable pay - upper = 4700.02 - 3300.00 = 1400.02 at 0.18 = 252.0036? Compute 1400.02 * 0.18 = 252.0036. Sum = 472.0036. Round half-up to 472.00? Wait 472.0036 rounds to 472.00 (third decimal 0? Let's see 472.0036: to two decimals, hundredths = 0? 472.0036 -> 472.00 because third decimal is 3? Actually 472.0036 decimal digits: 472 . 0 0 3 6. Hundredths digit = 0 (digits: tenths 0, hundredths 0, thousandths 3). Yes rounds down to 472.00. If sum separate not round intermediate: 220 + 252.0036 = 472.0036 -> 472.00.

Net pay = gross - employee contribution - allowed deduction - income tax = 5000.02 - 300.00 - 0.00 - 472.00 = 4228.02.

Need ensure if there is conflict contract? No contract_gross_pay not present. Amendment absent. Should cite R1-R6. Since no amendment, not R9. Need output JSON object with decision calculate, currency LCR, gross_pay "5000.02", employee_contribution "300.00", allowed_deduction "0.00", taxable_pay "4700.02", income_tax "472.00", net_pay "4228.02", clauses perhaps ["R1","R2","R3","R4","R5","R6"]. Optional explanation permitted, but likely not needed. Must use exactly required answer fields and only clauses that directly govern. Should include clauses. Money strings with two decimals.

Need consider R2 rounding "round-half-up" for contribution: 300.0000 -> 300.00. Tax calculation "Do not round intermediate bracket products separately before summing income tax." We did. Round total 472.0036 -> 472.00 (since half-up? 472.0036 less than .005, down). Good.

Potential subtlety: Reference schedule "Authoritative case reference schedule": Use first-half for 2026-05. It says "When supplied, its numeric values replace defaults for that case only." Yes.

Need ensure allowed_deduction cap: 400.00. Given 0.00 fine. Gross minus employee contribution = 4700.02.

Need maybe clause R1 for reference schedule? R1 governs reference row and schedule. R3 for contribution. R4 for deduction. R5 tax. R6 net. Include R2 arithmetic. "Calculated answers cite R1 through R6, and also R9 only when amendment needed." So clauses R1-R6.

Need return JSON only, no markdown. final.
Rollout #2 100.0% passed · 7.6s · $0.0010
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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need follow rules. Need compute using authoritative schedule for first-half because month 2026-05. Values: rate 0.06, cap 5000.00, deduction cap 400.00, free 1100.00, upper 3300.00, middle 0.10, upper 0.18.

Gross 5000.02. Allowed deduction 0.00.

Employee contribution = rate * min(gross, cap) = 0.06 * min(5000.02, 5000.00) = 0.06*5000.00 = 300.00. Round 300.00.

Allowed deduction defaults? Given 0.00. Must not exceed cap 400 and gross - contribution = 4700.02. OK.

Taxable pay = gross - employee_contribution - allowed_deduction = 5000.02 - 300.00 - 0.00 = 4700.02.

Income tax: taxable 4700.02. Tax-free 1100.00. Upper bracket begins 3300.00. Middle portion: taxable above free up to upper. Since upper 3300 > free 1100. Middle taxable = min(taxable, upper) - free = min(4700.02, 3300) - 1100 = 3300 - 1100 = 2200.00. Middle tax = 2200 * 0.10 = 220.00.
Upper portion = taxable - upper = 4700.02 - 3300 = 1400.02. Upper tax = 1400.02 * 0.18 = 252.0036. Round? Rule: Do not round intermediate bracket products separately before summing income tax. Sum = 220.00 + 252.0036 = 472.0036. Round total to 472.00? round-half-up to two decimals: 472.0036 -> 472.00 because third decimal 3? Let's see 472.0036: hundredths is 0? 472.00 with third decimal 3, so 472.00. If separate: 1400.02*0.18=252.0036 round 252.00, total 472.00. same. Good.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 5000.02 - 300.00 - 0.00 - 472.00 = 4228.02.

Need return JSON object exactly fields. Clauses: R1 through R6? Since no amendment, cite R1-R6. Need include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Maybe explanation optional. We can omit explanation. Need no markdown. Money strings two decimals. Ensure all fields exactly. Clauses maybe array? The prompt: "Allowed answer fields: calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses". Need clauses. Could be ["R1","R2","R3","R4","R5","R6"]. We should cite R1-R6. Maybe include R1,R2,R3,R4,R5,R6. No R9. Good.

Let's double-check authoritative schedule: "When supplied, its numeric values replace defaults above for that case only." Yes use rate 0.06 cap 5000.00 etc.

Potential issue: cap 5000.00, gross 5000.02, min = 5000.00. Contribution 300.00. Good.

Taxable pay = 5000.02 - 300.00 = 4700.02. Good.

Income tax: Progressive. Taxable pay up to free 1100 untaxed. Portion above free up to upper boundary 3300 uses middle. Portion above upper uses upper. 4700.02 above upper by 1400.02. Middle portion 2200.00. Tax = 220 + 252.0036 = 472.0036 round 472.00. Good.

Net = 5000.02 - 300.00 - 0.00 - 472.00 = 4228.02. 5000.02-300=4700.02; -472=4228.02. Good.

Need return JSON only. Ensure no markdown. Let's craft. 
Rollout #3 100.0% passed · 5.6s · $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": "5000.02",
  "employee_contribution": "300.00",
  "allowed_deduction": "0.00",
  "taxable_pay": "4700.02",
  "income_tax": "472.00",
  "net_pay": "4228.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need calculate. Need be careful. We have payroll record gross 5000.02, month 2026-05 => first-half row from authoritative schedule. Values: rate 0.06, cap 5000.00, deduction cap 400.00, free 1100.00, upper begins 3300.00, middle 0.10, upper 0.18. allowed_deduction 0.00.

Need compute employee contribution = rate * min(gross, cap). gross 5000.02, cap 5000.00 => min 5000.00. 0.06 * 5000.00 = 300.00. Round 300.00.

Allowed deduction 0.00. Check cap 400 and gross - contribution = 5000.02 - 300 = 4700.02, ok.

Taxable pay = gross - employee contribution - allowed deduction = 5000.02 - 300.00 - 0 = 4700.02.

Income tax progressive:
Tax-free up to 1100.00 untaxed.
Portion above free up to upper boundary 3300.00 uses middle 0.10. Amount = 3300 - 1100 = 2200.00. Tax = 220.00.
Portion above upper boundary = taxable 4700.02 - 3300 = 1400.02. Upper rate 0.18. Tax = 1400.02 * 0.18 = 252.0036? Let's compute: 1400*0.18=252; .02*0.18=0.0036. total 252.0036. Round half-up to two decimals = 252.00? Wait 252.0036 rounds to 252.00 because third decimal is 3? Actually 252.0036: two decimals: 252.00 since third decimal digit is 3 (digits 252.0036 -> hundredths: 0? Let's parse: 252.0036. To two decimals: 252.00 because 0.0036 < 0.005. Yes. Sum unrounded bracket products: 220.00 + 252.0036 = 472.0036. Round total to 472.00. Rule says do not round intermediate bracket products separately before summing income tax. If separately, 252.00, sum 472.00 same. Good.

Net pay = gross - contribution - allowed deduction - income tax = 5000.02 - 300.00 - 0.00 - 472.00 = 4228.02? Compute 5000.02 - 300 = 4700.02; -472 = 4228.02. Yes.

Need return decision calculate, currency LCR, fields strings two decimals. clauses. Cite R1-R6? No amendment needed. Maybe R1 through R6. Need exactly required answer fields and only clauses that directly govern answer. Allowed answer fields include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Explanation optional. We can include clauses array? Need know format. "clauses" likely array of strings. Use ["R1","R2","R3","R4","R5","R6"]. Maybe R1 selects row, R3 contribution, R4 deduction/taxable, R5 tax, R6 net. R2 arithmetic. Good.

Need ensure JSON no markdown. Money strings two decimals. 
Let's double-check if authoritative schedule replaces defaults for that case. Yes. First-half rate 0.06 etc. Month 2026-05 in first-half. Good.

Need no input-only fields. 
Final JSON only.