Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 18
DeepSeek V4.1 Flash · Single-turn · Task 18 (Calculation, at the upper bracket line) 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 2978.74 2978.74 2978.74 2978.74
employee contribution 178.72 178.72 178.72 178.72
allowed deduction 0.00 0.00 0.00 0.00
taxable pay 2800.02 2800.02 2800.02 2800.02
income tax 224.00 224.00 224.00 224.00
net pay 2576.02 2576.02 2576.02 2576.02
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: {"60299c2a6df8880c-payroll": {"kind": "payroll", "record": {"gross_pay": "2978.74", "payroll_month": "2026-07", "allowed_deduction": "0.00"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "4000.00", "deduction": "400.00", "free": "900.00", "upper": "3300.00", "middle_rate": "0.08", "upper_rate": "0.22"}, "second-half": {"rate": "0.06", "cap": "4500.00", "deduction": "400.00", "free": "1200.00", "upper": "2800.00", "middle_rate": "0.14", "upper_rate": "0.20"}}
Rollouts
Rollout #1 100.0% passed · 6.1s · $0.0011
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": "2978.74",
  "employee_contribution": "178.72",
  "allowed_deduction": "0.00",
  "taxable_pay": "2800.02",
  "income_tax": "224.00",
  "net_pay": "2576.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer one JSON object no markdown. Need calculate payroll. Need be careful.

We have payroll record gross_pay 2978.74, month 2026-07, allowed_deduction 0.00. Authoritative schedule supplied. Need use second-half row for 2026-07. Values:
rate 0.06, cap 4500.00, deduction cap 400.00, free 1200.00, upper 2800.00, middle_rate 0.14, upper_rate 0.20.

Need calculate employee contribution = rate * min(gross, cap). Gross 2978.74 < 4500. contribution = 0.06 * 2978.74 = 178.7244. Round half-up to two decimals = 178.72? Let's check: 178.7244, third decimal 4, so 178.72. Yes.

Allowed deduction 0.00, cap 400 and gross-contribution available. Gross - contribution = 2800.0156? Wait 2978.74 - 178.72 = 2800.02 (using rounded contribution) actually 2978.74 - 178.72 = 2800.02. Allowed deduction 0 <= cap and <= 2800.02. Taxable pay = gross - employee_contribution - allowed_deduction = 2978.74 - 178.72 - 0.00 = 2800.02.

Income tax progressive:
Tax-free up to 1200 = 0.
Portion above free up to upper bracket boundary 2800 uses middle rate 0.14. Taxable pay 2800.02. This exceeds upper by 0.02? Wait upper bracket begins 2800.00. Taxable pay is 2800.02. So first 1200 untaxed. From 1200 to 2800 = 1600 at 14% = 224.00. Above 2800 = 0.02 at 20% = 0.004. Total = 224.004. Round half-up to two decimals = 224.00? Third decimal 4, so 224.00. Need not round intermediate bracket products separately before summing. If compute 1600*0.14=224, 0.02*0.20=0.004, sum 224.004 -> 224.00. Yes.

Net pay = gross - employee contribution - allowed deduction - income tax = 2978.74 - 178.72 - 0 - 224.00 = 2576.02? Compute 2978.74 - 178.72 = 2800.02. -224 = 2576.02. Yes.

Need return decision calculate, currency LCR, fields as strings two decimals:
gross_pay "2978.74"
employee_contribution "178.72"
allowed_deduction "0.00"
taxable_pay "2800.02"
income_tax "224.00"
net_pay "2576.02"
clauses supporting. Need cite R1 through R6. Since no amendment conflict, not R9. The prompt: "Calculated answers cite R1 through R6, and also R9 only when an amendment is needed". So clauses ["R1","R2","R3","R4","R5","R6"]. Need only clauses that directly govern answer. Could include R1-R6. No explanation needed. Ensure exact answer fields. No input-only fields. JSON only.

Double-check no optional contract_gross_pay or amendment. Source doc record has allowed_deduction 0.00. Use schedule: authoritative schedule replaces defaults. R1 says schedule values replace defaults for that case only. Second-half row. Good.

Let's ensure money strings two decimal places.

Potential tricky: taxable_pay calculation order: subtract rounded employee contribution and allowed deduction. allowed_deduction defaults 0.00. We computed taxable_pay = 2800.02. But if using unrounded contribution? R2 arithmetic uses decimal values. Round contribution under R3. R4: Subtract both the employee contribution and allowed deduction from gross pay. Since employee contribution is rounded? R3: The employee contribution is rate multiplied by smaller... Round the contribution under R2. So yes rounded. Taxable pay = 2978.74 - 178.72 - 0 = 2800.02. If unrounded 2978.74 - 178.7244 = 2800.0156, rounded? But rule says contribution is rounded. The taxable pay maybe also monetary calculation result round to two decimals. If using rounded contribution, already 2800.02. If using unrounded then round taxable pay = 2800.02 as well? 2800.0156 round half-up to 2800.02. Same.

Income tax: taxable pay 2800.02. Bracket:
free=1200.
upper=2800.
Middle taxable portion = min(taxable, upper) - free = 2800 - 1200 = 1600. (Because taxable 2800.02 > upper)
Upper portion = max(taxable - upper, 0) = 0.02.
Middle tax = 1600 * 0.14 = 224.00.
Upper tax = 0.02 * 0.20 = 0.004.
Total = 224.004 -> 224.00. Yes.

Net pay = 2978.74 - 178.72 - 0.00 - 224.00 = 2576.02. Check 2978.74 - 402.72 = 2576.02. Yes.

Need final JSON. No markdown. Use exactly required fields. Could include explanation optional but not needed.

Let's produce.
Rollout #2 100.0% passed · 4.1s · $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": "2978.74",
  "employee_contribution": "178.72",
  "allowed_deduction": "0.00",
  "taxable_pay": "2800.02",
  "income_tax": "224.00",
  "net_pay": "2576.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need be careful. Source documents JSON has weird key? It shows {"60299c2a6df8880c-payroll": {"kind": "payroll", "record": {"gross_pay": "2978.74", "payroll_month": "2026-07", "allowed_deduction": "0.00"}}}. Authoritative case reference schedule supplied. Need use schedule not defaults. Payroll month 2026-07 -> second-half. Values: rate 0.06, cap 4500.00, deduction cap 400.00, tax-free 1200.00, upper bracket begins 2800.00, middle rate 0.14, upper rate 0.20.

Gross 2978.74. Employee contribution = rate * min(gross, wage cap). min(2978.74,4500)=2978.74. 0.06*2978.74 = 178.7244. Round half-up to two decimals = 178.72? Let's calculate: 2978.74 * 6/100 = 178.7244. Third decimal 4? 178.7244 -> two decimals: hundredths 2? 178.72 with third decimal 4 (since 178.724: digits 178 . 7 2 4 4). Yes 178.72.

Allowed deduction 0.00. Taxable pay = gross - employee contribution - allowed deduction = 2978.74 - 178.72 = 2800.02. (No rounding needed). Tax: tax-free amount 1200.00. Taxable pay 2800.02. Upper bracket begins 2800.00. So portion up to upper? "Taxable pay up to tax-free amount untaxed. Portion above that amount up to upper-bracket boundary uses middle. Portion above upper-bracket boundary uses upper." Here taxable pay 2800.02, which is above upper boundary 2800.00 by 0.02. So middle portion = 2800.00 - 1200.00 = 1600.00. Tax middle = 1600 * 0.14 = 224.00. Upper portion = 2800.02 - 2800.00 = 0.02. Tax upper = 0.02 * 0.20 = 0.004. Total = 224.004. Round half-up to two decimals = 224.00? 224.004 -> third decimal 4, so 224.00. Wait 224.004 to two decimal: hundredths digit 0, third decimal 4, so 224.00. Yes.

Net pay = gross - employee contribution - allowed deduction - income_tax = 2978.74 - 178.72 - 0.00 - 224.00 = 2576.02? Compute: 2978.74 - 178.72 = 2800.02. -224 = 2576.02. Yes.

Need output fields: decision calculate, currency LCR, gross_pay string two decimals, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Clauses support calculation R1-R6, and R9 only if amendment needed. No amendment. So cite R1-R6? The instruction: "Calculated answers cite R1 through R6, and also R9 only when an amendment is needed to resolve a conflict." So clauses ["R1","R2","R3","R4","R5","R6"]. Need maybe R2 included? Yes cite R1-R6. No explanation optional. Return JSON no markdown.

Need ensure Money strings two decimals: gross "2978.74", employee_contribution "178.72", allowed_deduction "0.00", taxable_pay "2800.02", income_tax "224.00", net_pay "2576.02". Good.

Let's final.
Rollout #3 100.0% 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": "2978.74",
  "employee_contribution": "178.72",
  "allowed_deduction": "0.00",
  "taxable_pay": "2800.02",
  "income_tax": "224.00",
  "net_pay": "2576.02",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need calculate for record gross 2978.74 payroll_month 2026-07. Authoritative schedule second-half for 2026-07 through 12. Values: rate 0.06 cap 4500 deduction cap 400 free 1200 upper 2800 middle 0.14 upper 0.20.

Need process.

Gross_pay = 2978.74. Allowed_deduction = 0.00. Employee contribution = rate * min(gross, cap) = 0.06 * 2978.74 = 178.7244. Round half-up to two decimals = 178.72? Let's calculate: 2978.74*0.06 = 178.7244. At two decimals, third decimal 4? Number 178.7244: hundredths digit 2, thousandths digit 4, so 178.72. Yes.

Taxable pay = gross - employee_contribution - allowed_deduction = 2978.74 - 178.72 - 0.00 = 2800.02.

Income tax progressive: free 1200. Taxable pay 2800.02. Upper bracket begins 2800.00. Portion above free up to upper = 2800.00 - 1200 = 1600.00 at middle rate 0.14 = 224.00. Portion above upper = 2800.02 - 2800.00 = 0.02 at upper rate 0.20 = 0.004 -> round? Rule says do not round intermediate bracket products separately before summing income tax. Need compute total income tax = 1600*0.14 + 0.02*0.20 = 224.00 + 0.004 = 224.004. Round total to two decimals half-up = 224.00? 224.004 third decimal? Actually 224.004, hundredths digit 0? Let's parse: 224.004, two decimals = 224.00 because thousandths is 4? Wait decimal digits: .004 = tenths 0, hundredths 0, thousandths 4. So round down to 224.00. If separately rounded 0.004 -> 0.00. Total 224.00. Good.

Net pay = gross 2978.74 - employee contribution 178.72 - allowed deduction 0.00 - income tax 224.00 = 2576.02? Calculate 2978.74 - 178.72 = 2800.02. minus 224.00 = 2576.02. Yes.

Need return fields decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Clauses cite R1-R6. Since no amendment conflict, no R9. Need exact JSON no markdown. Currency LCR. Money strings two decimals.

Check if any conflict? Source documents only payroll record. No contract_gross_pay. No amendment. Good.

Need only clauses that directly govern answer. Could include ["R1","R2","R3","R4","R5","R6"]. R6 answer format but calculated answers cite R1 through R6 per R9? Actually R6 says provide clause references supporting calculation. R9: Calculated answers cite R1 through R6. So include R1-R6. Good.

Need ensure no extra prose. Return JSON object.