Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 31
DeepSeek V4.1 Flash · Single-turn · Task 31 (Calculation, upper bracket) 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 3941.14 3941.14 3941.14 3941.14
employee contribution 197.06 197.06 197.06 197.06
allowed deduction 197.94 197.94 197.94 197.94
taxable pay 3546.14 3546.14 3546.14 3546.14
income tax 390.15 390.15 390.15 390.15
net pay 3155.99 3155.99 3155.99 3155.99
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: {"c0b4647b43710bd2-payroll": {"kind": "payroll", "record": {"gross_pay": "3941.14", "payroll_month": "2026-03", "allowed_deduction": "197.94"}}, "c0b4647b43710bd2-contract": {"kind": "contract", "gross_pay": "3941.14"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.05", "cap": "5000.00", "deduction": "400.00", "free": "900.00", "upper": "3300.00", "middle_rate": "0.14", "upper_rate": "0.22"}, "second-half": {"rate": "0.07", "cap": "4500.00", "deduction": "400.00", "free": "1100.00", "upper": "3600.00", "middle_rate": "0.14", "upper_rate": "0.20"}}
Rollouts
Rollout #1 100.0% passed · 7.2s · $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": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need be careful.

We have payroll record gross 3941.14, month 2026-03, allowed_deduction 197.94. Contract gross same 3941.14, so no conflict. Authoritative schedule first-half for 2026-01 through 2026-06. Values: rate 0.05, cap 5000.00, deduction cap 400.00, free 900.00, upper begins 3300.00, middle 0.14, upper 0.22.

Need calculate.

Gross = 3941.14. Employee contribution = rate * min(gross, cap). Cap 5000 > gross, so 0.05*3941.14 = 197.057 -> round half-up two decimals = 197.06? Let's compute: 3941.14*0.05 = 197.057. Round to 2 decimals: third decimal 7, so 197.06 yes.

Allowed deduction = 197.94. Check not exceed deduction cap 400.00 yes. Check not exceed gross - rounded employee contribution = 3941.14 - 197.06 = 3744.08. 197.94 <= 3744.08 yes.

Taxable pay = gross - employee contribution - allowed deduction = 3941.14 - 197.06 - 197.94 = 3546.14? Compute 3941.14 - 197.06 = 3744.08; -197.94 = 3546.14. Yes.

Income tax progressive:
Tax-free amount = 900.00. Upper bracket begins = 3300.00. Taxable 3546.14.
Portion above free up to upper: 3300 - 900 = 2400.00 at middle 0.14 = 336.00.
Portion above upper: 3546.14 - 3300 = 246.14 at upper 0.22 = 54.1508? Compute 246.14*0.22 = 54.1508. Round total? R2: Do not round intermediate bracket products separately before summing income tax. Sum = 336.00 + 54.1508 = 390.1508. Round total to 2 = 390.15 (third decimal 0? 390.1508 -> 390.15 because 0.1508, hundredths 5? Let's parse: 390.1508, to two decimals: look at third decimal which is 0? Decimal digits: .1508: tenths=1, hundredths=5, thousandths=0, so 390.15. Yes.)

Net pay = gross - employee contribution - allowed deduction - income tax = 3941.14 - 197.06 - 197.94 - 390.15.
3941.14 - 197.06 = 3744.08; -197.94 = 3546.14; -390.15 = 3155.99.

Need return decision calculate, currency LCR, fields strings two decimals: gross_pay "3941.14", employee_contribution "197.06", allowed_deduction "197.94", taxable_pay "3546.14", income_tax "390.15", net_pay "3155.99", clauses. Need cite R1 through R6? R9 not needed because no conflict. Also maybe R1, R2, R3, R4, R5, R6. Use clauses array? The required answer fields include clauses. Format likely array of strings. Need no markdown. Optional explanation permitted but not necessary. Need exactly required fields. Could include explanation? The instruction says optional explanation permitted. But "Use exactly required answer fields" maybe no extra? It says optional explanation string permitted. To be safe, include no explanation. Need clauses. Could include ["R1","R2","R3","R4","R5","R6"]. The rules say Calculated answers cite R1 through R6, and also R9 only when amendment needed. So yes.

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

Double-check authoritative schedule: "When supplied, its numeric values replace defaults above for that case only." So use first-half schedule: rate 0.05, cap 5000, deduction 400, free 900, upper 3300, middle 0.14, upper 0.22.

Contribution: min(3941.14, 5000)=3941.14. 0.05*3941.14 = 197.057. Round half-up to 197.06. Good.

Allowed deduction: 197.94. Does R4 say allowed_deduction must not exceed selected deduction cap or gross pay minus rounded employee contribution. Gross - contribution = 3744.08. 197.94 okay. Deduction cap 400.00 okay.

Taxable: 3941.14 - 197.06 - 197.94 = 3546.14. Yes.

Tax: free 900. upper 3300. middle rate 0.14. portion 2400*0.14=336.00. upper portion 246.14*0.22=54.1508. Sum 390.1508 -> 390.15. Note if rounding contribution first is correct. R3 says round contribution. R4 subtract rounded contribution. Good.

Net: 3941.14 - 197.06 - 197.94 - 390.15 = 3155.99. Check: 3941.14 - 197.06 = 3744.08. 3744.08 - 197.94 = 3546.14. 3546.14 - 390.15 = 3155.99. Yes.

Need output as JSON with strings. Use "currency": "LCR". Should "clauses" be array. Yes.

Potential issue: The contract gross same as payroll, so no conflict. No amendment. Good.

Let's craft final. Ensure no markdown.
Rollout #2 100.0% passed · 6.0s · $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": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need parse. We have payroll month 2026-03 -> first-half. Authoritative schedule replaces defaults. Values: rate 0.05, cap 5000.00, deduction cap 400.00, free 900.00, upper 3300.00, middle 0.14, upper 0.22.

Gross 3941.14. allowed_deduction 197.94. Contract gross same, no conflict.

Employee contribution = rate * min(gross, cap). min(3941.14,5000)=3941.14. *0.05 = 197.057 -> round half-up 197.06. Need decimal exact: 3941.14*0.05 = 197.057. Round to two = 197.06.

Allowed deduction must not exceed cap 400 and gross - employee contribution = 3941.14 -197.06 = 3744.08. 197.94 <= both. OK.

Taxable pay = gross - employee contribution - allowed deduction = 3941.14 -197.06 -197.94 = 3546.14? Compute: 3941.14 - 197.06 = 3744.08. -197.94 = 3546.14. Yes.

Income tax progressive:
Taxable 3546.14. Free 900.00 untaxed. Upper bracket begins 3300.00.
Portion above free up to upper: 3300 - 900 = 2400.00 taxed at middle 0.14 = 336.00.
Portion above upper: 3546.14 - 3300 = 246.14 taxed at upper 0.22 = 54.1508. Sum = 390.1508. Round half-up to two = 390.15? Check third decimal: 390.1508 -> two decimals: 390.15 because hundredths 5? Actually 390.1508, to two decimal: look at third decimal (0? Let's write 390.1508: digits after decimal 1 5 0 8. Two decimals = 390.15, third digit 0, so 390.15. If 390.1508, hundredths is 5? decimal digits: .1508 = tenths 1, hundredths 5, thousandths 0. So 390.15. Yes.

Net pay = gross - employee contribution - allowed deduction - income tax = 3941.14 -197.06 -197.94 -390.15 = 3155.99? Compute: 3941.14 -197.06 = 3744.08. -197.94 = 3546.14. -390.15 = 3155.99. Yes.

Need JSON with fields decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Maybe explanation optional. Clauses cite R1-R6? No amendment. Need exact required answer fields. Money strings two decimals. Include clauses array? The allowed answer fields "calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses". So clauses likely array. Need no markdown. Ensure no extra fields? explanation optional permitted. We can omit explanation. Use exactly fields.

Need consider R9? Contract gross matches, no amendment needed. Cite R1 through R6. Maybe include R1,R2,R3,R4,R5,R6. Clauses identifiers. Use array of strings. Good.

Double-check authoritative schedule: first-half rate 0.05 cap 5000 deduction 400 free 900 upper 3300 middle .14 upper .22. Yes.

Potential nuance: R4 allowed deduction must not exceed gross pay minus rounded employee contribution. gross - contribution = 3744.08, cap 400, allowed 197.94. OK.

Potential issue: employee contribution calculation: selected contribution rate multiplied by smaller of monthly gross pay and selected wage cap. Rate 0.05, cap 5000, gross 3941.14. 197.057 rounds to 197.06. Yes.

Tax rounding: "Do not round intermediate bracket products separately before summing income tax." We computed exact sum 336 + 54.1508 = 390.1508, round 390.15. If rounded each: 336.00 + 54.15 = 390.15 same.

Net: 3941.14 -197.06 -197.94 -390.15 = 3155.99. Yes.

Need output JSON only.
Rollout #3 100.0% passed · 4.5s · $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": "3941.14",
  "employee_contribution": "197.06",
  "allowed_deduction": "197.94",
  "taxable_pay": "3546.14",
  "income_tax": "390.15",
  "net_pay": "3155.99",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need be careful.

We have payroll record gross 3941.14 month 2026-03 allowed_deduction 197.94. Contract gross same 3941.14, so no conflict. Authoritative schedule first-half applies (2026-01 through 2026-06). Values replace defaults: rate 0.05, cap 5000.00, deduction cap 400.00, free 900.00, upper 3300.00, middle_rate 0.14, upper_rate 0.22.

Need calculate.

Employee contribution = rate * min(gross, wage cap). gross 3941.14 < cap 5000.00. 3941.14 * 0.05 = 197.057. Round half-up to two decimals: 197.06. Check: 3941.14*5/100 = 197.057 -> 197.06.

Allowed deduction = 197.94. Must not exceed deduction cap 400 or gross minus rounded employee contribution. gross - contribution = 3941.14 - 197.06 = 3744.08. 197.94 <= 400 and <=3744.08 yes.

Taxable pay = gross - employee contribution - allowed deduction = 3941.14 - 197.06 - 197.94 = 3546.14? Let's compute: 3941.14 - 197.06 = 3744.08. Minus 197.94 = 3546.14. Yes.

Income tax progressive:
Tax-free amount 900.00 untaxed.
Portion above free up to upper bracket boundary 3300.00 uses middle rate 0.14. Taxable pay 3546.14 > 3300. Middle portion = 3300.00 - 900.00 = 2400.00. Tax middle = 2400 * 0.14 = 336.00.
Upper portion = 3546.14 - 3300.00 = 246.14. Tax upper = 246.14 * 0.22 = 54.1508? Compute 246.14*22/100 = 54.1508. Sum = 390.1508. Round half-up to two decimals: 390.15 (third decimal 0? 390.1508 -> 390.15 because hundredths 15, thousandths 0? Actually 390.1508: digits after decimal 1 5 0 8. To two decimals: 390.15 since third decimal 0. yes).

Net pay = gross - employee contribution - allowed deduction - income tax = 3941.14 -197.06 -197.94 -390.15. 3941.14 -197.06=3744.08. -197.94=3546.14. -390.15=3155.99. Or taxable - tax = 3546.14 -390.15=3155.99.

Need return decision calculate, currency LCR, fields strings two decimals, clauses. Cite R1-R6. No R9 because contract matches no amendment needed. Could include explanation optional? They ask Return R6 or R7 JSON answer. Use exactly required answer fields and only clauses that directly govern. Allowed answer fields for calculate: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted. Probably no explanation to avoid extra. Need JSON object without markdown.

Need ensure clauses references. For calculation cite R1 through R6. Maybe clauses: ["R1","R2","R3","R4","R5","R6"]. That supports. R9 not needed. Good.

Double-check if allowed_deduction cap under authoritative schedule is 400.00, yes. Contribution cap 5000.00. Tax free 900, upper 3300, middle 0.14, upper 0.22. Good.

Potential issue: R1 says schedule must include rate, cap, deduction, free, upper, middle_rate, upper_rate. Supplied first-half has exactly. Use first-half.

Need money strings two decimals. gross_pay "3941.14"; employee_contribution "197.06"; allowed_deduction "197.94"; taxable_pay "3546.14"; income_tax "390.15"; net_pay "3155.99".

Let's verify arithmetic with decimal half-up. Contribution 3941.14*0.05 = 197.057. Round half-up to two decimals: 197.06. Yes.

Tax: Middle: 2400*0.14 = 336.00. Upper: 246.14*0.22 = 54.1508. Sum 390.1508. Round: Look at 390.1508. To two decimals, 390.15 because third decimal is 0. If it were 390.155 would 390.16. Yes.

Net: 3941.14 -197.06 = 3744.08; -197.94=3546.14; -390.15=3155.99. Good.

Need final only JSON.