Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 40
DeepSeek V4.1 Flash · Single-turn · Task 40 (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 9539.93 9539.93 9539.93 9539.93
employee contribution 200.00 200.00 200.00 200.00
allowed deduction 123.64 123.64 123.64 123.64
taxable pay 9216.29 9216.29 9216.29 9216.29
income tax 1435.26 1435.26 1435.26 1435.26
net pay 7781.03 7781.03 7781.03 7781.03
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: {"087f1008f556d1d3-payroll": {"kind": "payroll", "record": {"gross_pay": "9539.93", "payroll_month": "2026-08", "allowed_deduction": "123.64"}}}
Authoritative case reference schedule: {"first-half": {"rate": "0.06", "cap": "4000.00", "deduction": "400.00", "free": "1200.00", "upper": "3300.00", "middle_rate": "0.12", "upper_rate": "0.20"}, "second-half": {"rate": "0.04", "cap": "5000.00", "deduction": "400.00", "free": "1000.00", "upper": "3600.00", "middle_rate": "0.12", "upper_rate": "0.20"}}
Rollouts
Rollout #1 100.0% passed · 4.0s · $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": "9539.93",
  "employee_contribution": "200.00",
  "allowed_deduction": "123.64",
  "taxable_pay": "9216.29",
  "income_tax": "1435.26",
  "net_pay": "7781.03",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need follow rules. Need parse. We have payroll record gross 9539.93, month 2026-08, allowed_deduction 123.64. Authoritative schedule replaces defaults. Month second-half. Row: rate 0.04, cap 5000.00, deduction cap 400.00, free 1000.00, upper 3600.00, middle 0.12, upper 0.20.

Need compute employee contribution = rate * min(gross, cap) = 0.04 * 5000 = 200.00. Round 200.00.

Allowed deduction defaults? given 123.64. Must not exceed deduction cap 400 or gross minus rounded employee contribution = 9539.93 - 200 = 9339.93. 123.64 <= both. taxable_pay = gross - employee_contribution - allowed_deduction = 9539.93 - 200.00 - 123.64 = 9216.29? Let's compute: 9539.93 - 200 = 9339.93; -123.64 = 9216.29. Yes.

Income tax progressive:
taxable 9216.29. Free 1000 untaxed.
Middle bracket from 1000 to 3600: amount 2600.00 at 0.12 = 312.00.
Upper above 3600: 9216.29 - 3600 = 5616.29 at 0.20 = 1123.258 -> round? R2 says round monetary calculation results to two decimals round-half-up. Do not round intermediate bracket products separately before summing income tax. Hmm "Do not round intermediate bracket products separately before summing income tax." So compute total = 2600*0.12 + 5616.29*0.20 = 312 + 1123.258 = 1435.258. Round total to two decimals = 1435.26 (half-up? 1435.258 -> third decimal 8 so 1435.26). If we rounded upper separately 1123.26 +312=1435.26 same. Good.

Net pay = gross - employee contribution - allowed deduction - income_tax = 9539.93 - 200.00 - 123.64 - 1435.26 = 7781.03? Compute 9539.93 - 200 = 9339.93; -123.64 = 9216.29; -1435.26 = 7781.03. Yes.

Need return JSON with fields: decision "calculate", currency "LCR", gross_pay "9539.93", employee_contribution "200.00", allowed_deduction "123.64", taxable_pay "9216.29", income_tax "1435.26", net_pay "7781.03", clauses. Clauses supporting calculation: R1 through R6? Since no amendment needed. Cite R1, R2, R3, R4, R5, R6 maybe. Need exactly required answer fields and only clauses directly govern answer. Could include clauses ["R1","R2","R3","R4","R5","R6"]. Optional explanation permitted but maybe not needed. Ensure no markdown fences. Money strings two decimals. Use decision. No input-only fields. final JSON only.

Need consider if allowed_deduction cap? Schedule deduction 400.00. Yes.

Potential issue: R4 says allowed deduction must not exceed selected deduction cap or gross pay minus rounded employee contribution. It doesn't. Good.

Need maybe cite R1 for schedule, R3, R4, R5, R6, R2. R1 covers reference schedule. R2 arithmetic. R3 contribution. R4 deduction/taxable. R5 tax. R6 net. All directly govern. Fine.

Final JSON.
Rollout #2 100.0% passed · 5.1s · $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": "9539.93",
  "employee_contribution": "200.00",
  "allowed_deduction": "123.64",
  "taxable_pay": "9216.29",
  "income_tax": "1435.26",
  "net_pay": "7781.03",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer calculate. Need follow rules. Need parse.

We have payroll record gross_pay 9539.93, payroll_month 2026-08, allowed_deduction 123.64. Authoritative case reference schedule supplied. Need use schedule values replacing defaults. Month 2026-08 falls second-half. second-half: rate 0.04 cap 5000.00 deduction 400.00 free 1000.00 upper 3600.00 middle_rate 0.12 upper_rate 0.20.

Need calculate employee contribution = rate * min(gross, cap) = 0.04 * 5000 = 200.00. Round 200.00.

Allowed deduction 123.64. Must not exceed selected deduction cap 400 or gross minus rounded employee contribution = 9539.93 - 200 = 9339.93. 123.64 ok.

Taxable pay = gross - employee_contribution - allowed_deduction = 9539.93 - 200.00 - 123.64 = 9216.29? Compute: 9539.93 - 200 = 9339.93. minus 123.64 = 9216.29. Yes.

Income tax progressive:
Taxable pay 9216.29.
Tax-free up to 1000.00 untaxed.
Middle portion above free up to upper boundary 3600.00. That portion = 3600 - 1000 = 2600.00 at 0.12 = 312.00.
Above upper: taxable - upper = 9216.29 - 3600 = 5616.29 at 0.20 = 1123.258. Round? R2: Do not round intermediate bracket products separately before summing income tax. Sum exact = 312 + 1123.258 = 1435.258. Round total income tax half-up to two decimals = 1435.26. Need ensure no separate rounding. 5616.29*0.20 = 1123.258. Sum 1435.258 -> 1435.26.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 9539.93 - 200.00 - 123.64 - 1435.26.
9539.93 - 200 = 9339.93. -123.64 = 9216.29. -1435.26 = 7781.03. Check 9216.29 - 1435.26 = 7781.03.

Need output JSON exactly required fields. decision calculate, currency LCR, gross_pay string "9539.93", employee_contribution "200.00", allowed_deduction "123.64", taxable_pay "9216.29", income_tax "1435.26", net_pay "7781.03", clauses. Need clauses supporting calculation. Cite R1 through R6. Maybe include R2, R3, R4, R5, R6, R1. Since R9 not needed. Need exactly required answer fields and only clauses that directly govern answer. Allowed answer fields for calculate: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted. Could include clauses array ["R1","R2","R3","R4","R5","R6"]. Need maybe R1 selecting schedule. R3 contribution, R4 deduction/taxable, R5 income tax, R6 net. R2 arithmetic. This seems fine.

Need no Markdown fences. Ensure JSON valid. Money strings two decimals. No explanation maybe. But maybe include only clauses. Need no input-only fields.

Let's craft final JSON.
Rollout #3 100.0% passed · 6.1s · $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": "9539.93",
  "employee_contribution": "200.00",
  "allowed_deduction": "123.64",
  "taxable_pay": "9216.29",
  "income_tax": "1435.26",
  "net_pay": "7781.03",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}
Reasoning
We need answer JSON only. Need process. Need check rules.

We have payroll record gross_pay 9539.93, payroll_month 2026-08, allowed_deduction 123.64. Authoritative schedule supplied: second-half for 2026-07 through 12: rate 0.04, cap 5000.00, deduction cap 400.00, free 1000.00, upper 3600.00, middle_rate 0.12, upper_rate 0.20. Use schedule replaces defaults.

Need calculate.

Required gross_pay present. payroll_month present. Month covered 2026-08 -> second-half. No contract_gross_pay. allowed_deduction 123.64.

Employee contribution: rate * min(gross, cap) = 0.04 * min(9539.93, 5000.00) = 0.04*5000=200.00. Round 200.00.

Allowed deduction: 123.64. Must not exceed deduction cap 400 or gross minus rounded employee contribution = 9539.93 - 200 = 9339.93. 123.64 <= both. taxable_pay = gross - employee_contribution - allowed_deduction = 9539.93 - 200.00 - 123.64 = 9216.29? Let's compute: 9539.93 - 200 = 9339.93. minus 123.64 = 9216.29. Yes.

Income tax progressive:
Taxable pay 9216.29.
Tax-free amount 1000.00 untaxed.
Portion above free up to upper bracket boundary: upper begins 3600.00. So middle portion = 3600 - 1000 = 2600.00 taxed at 0.12 = 312.00.
Portion above upper = 9216.29 - 3600 = 5616.29 taxed at 0.20 = 1123.258. Round total? Rule: Do not round intermediate bracket products separately before summing. So total = 312.00 + 1123.258 = 1435.258. Round half-up to two decimals = 1435.26. If round each: 1123.26 + 312 = 1435.26 same. Good.

Net pay = gross - employee contribution - allowed deduction - income tax = 9539.93 - 200.00 - 123.64 - 1435.26 = 7781.03? Compute: 9539.93 - 200 = 9339.93. -123.64 = 9216.29. -1435.26 = 7781.03. Yes.

Need clauses. Calculated answers cite R1 through R6, and also R9 only when amendment needed. No amendment. So clauses likely ["R1","R2","R3","R4","R5","R6"]? Need exactly required answer fields and only clauses that directly govern answer. They say Calculated answers cite R1 through R6. So include R1-R6. Maybe R2 for rounding. R1 for schedule. R3 contribution. R4 deduction/taxable. R5 income tax. R6 net/answer. Good.

Need output JSON object no markdown. Money strings two decimals. Fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but not necessary. Ensure no input-only fields.

Let's craft.