Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 22
DeepSeek V4.1 Flash · Single-turn · Task 22 (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 4499.98 4499.98 4499.98 4499.98
employee contribution 270.00 270.00 270.00 270.00
allowed deduction 93.05 93.05 93.05 93.05
taxable pay 4136.93 4136.93 4136.93 4136.93
income tax 371.39 371.39 371.39 371.39
net pay 3765.54 3765.54 3765.54 3765.54
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: {"b3c7b35caa7886e2-payroll": {"kind": "payroll", "record": {"gross_pay": "4499.98", "payroll_month": "2026-04", "allowed_deduction": "93.05"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.06", "cap": "4500.00", "deduction": "400.00", "free": "1200.00", "upper": "3000.00", "middle_rate": "0.08", "upper_rate": "0.20"}, "second-half": {"rate": "0.06", "cap": "4500.00", "deduction": "400.00", "free": "1100.00", "upper": "3000.00", "middle_rate": "0.12", "upper_rate": "0.24"}}
Rollouts
Rollout #1 100.0% passed · 5.1s · $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": "4499.98",
  "employee_contribution": "270.00",
  "allowed_deduction": "93.05",
  "taxable_pay": "4136.93",
  "income_tax": "371.39",
  "net_pay": "3765.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON. Need process. Need use supplied rules. We have payroll record: gross_pay 4499.98, month 2026-04, allowed_deduction 93.05. No contract_gross_pay. Authoritative schedule replaces defaults. For 2026-04 first-half row: rate 0.06, cap 4500.00, deduction 400.00, free 1200.00, upper 3000.00, middle_rate 0.08, upper_rate 0.20.

Need calculate employee contribution = rate * min(gross, cap). gross 4499.98, cap 4500.00 so min=4499.98. Contribution = 0.06 * 4499.98 = 269.9988. Round half-up two decimals = 270.00? 269.9988 -> at third decimal? Let's compute: 269.9988. To two decimals: hundredths digit? 269.99 and third decimal 8? Actually 269.9988: digits 269 . 9 9 8 8. To round to two decimals, look at third decimal (8), so 269.99 + 0.01 = 270.00. Yes employee_contribution = 270.00.

Allowed deduction defaults but present 93.05. Must not exceed deduction cap 400 or gross - rounded employee contribution = 4499.98 - 270.00 = 4229.98. 93.05 <= both. allowed_deduction = 93.05.

Taxable pay = gross - employee_contribution - allowed_deduction = 4499.98 - 270.00 - 93.05 = 4136.93? Compute: 4499.98 - 270 = 4229.98; -93.05 = 4136.93. Yes.

Income tax progressive:
Taxable pay 4136.93.
Tax-free amount 1200.00 untaxed.
Upper bracket begins 3000.00.
Portion above free up to upper: 3000 - 1200 = 1800.00 at middle rate 0.08 = 144.00.
Portion above upper: 4136.93 - 3000 = 1136.93 at upper rate 0.20 = 227.386. Round? Rule: Do not round intermediate bracket products separately before summing income tax. Total tax = 144 + 227.386 = 371.386. Round total under R2 = 371.39? 371.386 -> third decimal 6 -> round up: 371.39. Check if 144.00 exact. Sum 371.386. Two decimal round half-up: 371.39. Yes.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 4499.98 - 270.00 - 93.05 - 371.39. 4499.98 - 270 = 4229.98; -93.05 = 4136.93; -371.39 = 3765.54. Check if net = taxable - income = 4136.93 - 371.39 = 3765.54.

Need return decision calculate, currency LCR, fields strings two decimals. Clauses supporting calculation. Need cite R1-R6 maybe if amendment none. Clauses should include R1? Calculated answers cite R1 through R6. So clauses ["R1","R2","R3","R4","R5","R6"]. Optional explanation permitted but not necessary. Need exact required answer fields only. Must be JSON object no markdown. Ensure money strings. Include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses.

Need not include explanation. Ensure no extra fields. Let's craft.
Rollout #2 100.0% passed · 5.8s · $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": "4499.98",
  "employee_contribution": "270.00",
  "allowed_deduction": "93.05",
  "taxable_pay": "4136.93",
  "income_tax": "371.39",
  "net_pay": "3765.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
Need solve payroll.

Inputs: gross_pay 4499.98, payroll_month 2026-04, allowed_deduction 93.05. Authoritative case reference schedule: first-half applies for 2026-01 through 2026-06. Row: rate 0.06, cap 4500.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle 0.08, upper 0.20.

No contract_gross_pay, no amendment. Need calculate.

Contribution = rate * min(gross, wage cap). gross 4499.98, cap 4500.00, min = 4499.98. contribution = 0.06 * 4499.98 = 269.9988. Round half-up to two decimals = 270.00? Let's compute: 4499.98 * 0.06 = 269.9988. Rounding to two decimals: hundredths: 269.99 with third decimal 8 -> 270.00? Wait 269.9988: two decimals: 269.99? Let's be precise: 269.9988. Decimal digits: 269 . 9 9 8 8. To round to 2 decimals, look at third decimal digit (8). So 269.99 + 0.01 = 270.00. Yes.

Allowed deduction 93.05. Must not exceed deduction cap 400.00 or gross minus rounded employee contribution. gross - contribution = 4499.98 - 270.00 = 4229.98. 93.05 <= 400 and <= 4229.98, OK.

Taxable pay = gross - employee_contribution - allowed_deduction = 4499.98 - 270.00 - 93.05 = 4136.93? 4499.98 - 270 = 4229.98; -93.05 = 4136.93.

Income tax progressive:
Tax-free amount 1200.00 untaxed.
Upper bracket begins 3000.00. Middle rate 0.08 applies portion above free up to upper: from 1200 to 3000 = 1800.00 at 8% = 144.00.
Portion above upper: taxable 4136.93 - 3000 = 1136.93 at upper rate 0.20 = 227.386. Round total? Rule: Do not round intermediate bracket products separately before summing income tax. So total = 144.00 + 227.386 = 371.386. Round half-up to two decimals = 371.39? Let's check: 371.386, third decimal 6 -> round up 371.39. Yes.

Income tax = 371.39.

Net pay = gross - employee contribution - allowed deduction - income tax = 4499.98 - 270.00 - 93.05 - 371.39 = 3765.54? Compute: 4499.98 - 270.00 = 4229.98; -93.05 = 4136.93; -371.39 = 3765.54. Yes.

Need output JSON exact required fields: decision calculate, currency LCR, gross_pay string, employee_contribution string, allowed_deduction string, taxable_pay string, income_tax string, net_pay string, clauses array.

Clauses: calculated answers cite R1 through R6, and R9 only when amendment needed. No amendment. So clauses: ["R1","R2","R3","R4","R5","R6"] or maybe include only relevant? The rule says calculated answers cite R1 through R6. Use those. Maybe clauses include all these. Required answer fields exactly: for calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. No explanation needed.

Check if any issue: authoritative schedule values replace defaults. first-half rate .06, cap 4500, deduction 400, free 1200, upper 3000, middle .08, upper .20. Month 2026-04 first-half. Good.

Need money strings two decimals.

Let's ensure contribution rounding: 0.06*4499.98 = 269.9988 -> round half-up: 270.00. Some systems might round to 270.00? Yes because .9988 -> .00? Wait, let's visualize: 269.9988. To round to two decimals, we look at 269.9988: the hundredths digit is 9, thousandths digit is 9? Actually decimal digits after point: 9 (tenths), 9 (hundredths), 8 (thousandths), 8 (ten-thousandths). So number is 269.9988, which is greater than 269.995, so round up to 270.00. Correct.

Taxable pay = 4136.93. Let me recalc gross minus contribution and deduction: 4499.98 - 270.00 = 4229.98. Minus 93.05 = 4136.93. Yes.

Income tax: middle portion: 3000.00 - 1200.00 = 1800.00 * 0.08 = 144.00. Upper: 4136.93 - 3000.00 = 1136.93 * 0.20 = 227.386. Sum 371.386 -> 371.39. Yes.

Net pay: 4136.93 - 371.39 = 3765.54. Yes.

Now produce JSON. No markdown fences.

Check field order? Not important. But ensure only allowed fields. Include decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses.

Let's craft.
Rollout #3 100.0% passed · 5.0s · $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": "4499.98",
  "employee_contribution": "270.00",
  "allowed_deduction": "93.05",
  "taxable_pay": "4136.93",
  "income_tax": "371.39",
  "net_pay": "3765.54",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need parse. Need follow rules. We have source payroll record gross_pay 4499.98 payroll_month 2026-04 allowed_deduction 93.05. Authoritative schedule first-half applies for 2026-04. Values: rate 0.06, cap 4500.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.08, upper_rate 0.20.

Need calculate employee contribution: rate * min(gross, cap). Gross 4499.98, cap 4500.00, min=4499.98. Contribution = 4499.98 * 0.06 = 269.9988. Round half-up to cents = 270.00? 269.9988 -> third decimal? Let's compute: 4499.98*0.06 = 269.9988. Round to two decimals: hundredths digit is 9? Value 269.9988. At two decimals: 269.99 if looking at 269.9988, next digit (third decimal) is 8? Let's write: 269.9988. decimals: .9988. To two decimal, .99 with third digit 8 => round .99 up to 1.00? Actually 269.9988: hundredths: 9 (269.99), thousandths: 8, so round up 269.99 to 270.00. Yes.

Allowed deduction: 93.05. Must not exceed selected deduction cap 400.00 or gross minus rounded employee contribution = 4499.98 - 270.00 = 4229.98. 93.05 <= both. OK.

Taxable pay = gross - employee contribution - allowed deduction = 4499.98 - 270.00 - 93.05 = 4136.93? Compute 4499.98 - 270 = 4229.98. -93.05 = 4136.93. Yes.

Income tax progressive: free up to 1200. Upper bracket begins 3000. Taxable 4136.93. Portion above free up to upper boundary: 3000 - 1200 = 1800 taxed at middle 0.08. Tax middle = 144.00? 1800*0.08=144.00. Portion above upper boundary: 4136.93 - 3000 = 1136.93 taxed at upper 0.20 = 227.386. Round total? Rule: Do not round intermediate bracket products separately before summing income tax. Round total under R2. Sum = 144 + 227.386 = 371.386. Round half-up to two decimals = 371.39? 371.386: third decimal 6, so 371.39. Yes.

Net pay = gross - employee contribution - allowed deduction - income tax = 4499.98 - 270.00 - 93.05 - 371.39 = 3765.54? Compute: 4499.98-270=4229.98; -93.05=4136.93; -371.39=3765.54. Yes.

Need output JSON only. Fields: decision calculate, currency LCR, gross_pay "4499.98", employee_contribution "270.00", allowed_deduction "93.05", taxable_pay "4136.93", income_tax "371.39", net_pay "3765.54", clauses. Clauses should cite R1 through R6? Calculated answers cite R1 through R6, and R9 only when amendment needed. Here no amendment. Need include clauses array. Maybe ["R1","R2","R3","R4","R5","R6"]. Exactly required fields and only clauses directly govern. Could include R2, R3, R4, R5, R6; R1 for row selection. Since "Calculated answers cite R1 through R6". So include all six.

Need no Markdown fences. Ensure money strings with two decimals.

Let's craft concise JSON. Optional explanation? Not needed. Must not include input-only fields. Good.

Check any contract_gross_pay absent. Amendment absent. Allowed deduction valid.

Potential subtlety: Authoritative schedule first-half has rate 0.06, cap 4500.00. gross 4499.98 less than cap. Rate 0.06 gives 269.9988 rounds to 270.00. Yes.

Need ensure income tax rounding: no intermediate rounding. We did sum then round. 144 + 227.386 = 371.386. Round half-up to 371.39. Yes.

Taxable pay: subtract rounded employee contribution? R4: "Subtract both the employee contribution and the allowed deduction from gross pay to obtain taxable pay." employee contribution is rounded under R3. So 270.00. Yes.

Allowed deduction cap: selected deduction cap 400.00. Also gross minus rounded employee contribution 4229.98. OK.

Net pay uses rounded income tax. 3765.54.

Now final JSON.