Luma Payroll Gym
← Heatmap / DeepSeek V4.1 Flash · Task 24
DeepSeek V4.1 Flash · Single-turn · Task 24 (Calculation, at the wage cap, resolved amendment) 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 4999.99 4999.99 4999.99 4999.99
employee contribution 350.00 350.00 350.00 350.00
allowed deduction 264.22 264.22 264.22 264.22
taxable pay 4385.77 4385.77 4385.77 4385.77
income tax 387.44 387.44 387.44 387.44
net pay 3998.33 3998.33 3998.33 3998.33
clauses R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9 R1 R2 R3 R4 R5 R6 R9
Prompt
Process this monthly payroll record under the supplied rulebook. Return the R6 or R7 JSON answer.
Source documents: {"f6c75cab8c86e7df-payroll": {"kind": "payroll", "record": {"gross_pay": "4999.99", "payroll_month": "2026-02", "allowed_deduction": "264.22"}}, "f6c75cab8c86e7df-contract": {"kind": "contract", "gross_pay": "5019.61"}, "f6c75cab8c86e7df-amendment": {"kind": "amendment", "gross_pay": "4999.99", "approved": true, "effective_month": "2026-01"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "5000.00", "deduction": "400.00", "free": "900.00", "upper": "3300.00", "middle_rate": "0.08", "upper_rate": "0.18"}, "second-half": {"rate": "0.08", "cap": "3500.00", "deduction": "400.00", "free": "1000.00", "upper": "3000.00", "middle_rate": "0.14", "upper_rate": "0.24"}}
Rollouts
Rollout #1 100.0% passed · 4.4s · $0.0018
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
We need answer JSON only. Need process. Need be careful.

We have payroll record gross_pay 4999.99, payroll_month 2026-02, allowed_deduction 264.22. Contract gross_pay 5019.61 differs. Amendment approved true, effective_month 2026-01, amount 4999.99 equals payroll gross. Under R9 resolves conflict if approved, effective <= payroll month, amount equals payroll record gross. Yes. So no clarify. Need calculate using authoritative case reference schedule. Month 2026-02 -> first-half row. Values: rate 0.07, cap 5000.00, deduction cap 400.00, free 900.00, upper 3300.00, middle_rate 0.08, upper_rate 0.18. Currency LCR.

Need compute employee contribution = rate * min(gross_pay, wage cap). gross 4999.99 < cap 5000.00. contribution = 4999.99 * 0.07 = 349.9993. Round half-up to 2 decimals = 350.00? Let's calculate: 4999.99*7/100 = 34999.93/100 = 349.9993. Round to 2: third decimal 9? 349.9993 -> at two decimals: 349.99 with next digit 9? Actually 349.9993: hundredths digit = 9? Let's parse: 349.9993. To two decimals: 349.99 and third decimal is 9 (digits 349 . 9 9 9 3). Since third decimal 9 >=5, round up 349.99 to 350.00. yes.

Allowed deduction 264.22. Must not exceed selected deduction cap 400.00 or gross pay minus rounded employee contribution. Gross minus contribution = 4999.99 - 350.00 = 4649.99. 264.22 <= both. OK.

Taxable pay = gross - employee contribution - allowed deduction = 4999.99 - 350.00 - 264.22 = 4385.77? Compute 4999.99 - 350.00 = 4649.99. minus 264.22 = 4385.77. yes.

Income tax progressive: free 900.00 untaxed. Upper bracket begins 3300.00. Taxable 4385.77. Portion above free up to upper: from 900 to 3300 = 2400.00 taxed at middle_rate 0.08 = 192.00. Portion above upper: 4385.77 - 3300.00 = 1085.77 taxed at upper_rate 0.18 = 195.4386? Compute 1085.77*0.18 = 1085.77*18/100 = 19543.86/100 = 195.4386. Sum = 192 + 195.4386 = 387.4386. Round half-up to 2: 387.44 (third decimal 8? 387.4386 -> hundredths 3? 387.43 with third decimal 8, round up to 387.44). Need not round intermediate bracket products separately before summing. We did sum then round. If round each: 192.00 + 195.44 = 387.44 same. Income tax = 387.44.

Net pay = gross - employee contribution - allowed deduction - income tax = 4999.99 - 350.00 - 264.22 - 387.44. First 4999.99 - 350 = 4649.99. -264.22 = 4385.77 taxable. -387.44 = 3998.33. Compute 4385.77 - 387.44 = 3998.33. yes.

Need include clauses. Calculated answers cite R1 through R6, and also R9 when amendment needed. Amendment needed to resolve conflict? Contract differs, amendment resolves. So clauses should include R1,R2,R3,R4,R5,R6,R9. Possibly R7? R9 says calculated answers cite R1 through R6, and also R9 only when amendment is needed to resolve a conflict. Since conflict resolved by amendment, cite R9. Do not cite R7? R7 for conflicts but resolved. Probably not. Need fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but maybe not needed. Need exactly required answer fields and only clauses directly govern. Use strings two decimals. gross_pay "4999.99", employee_contribution "350.00", allowed_deduction "264.22", taxable_pay "4385.77", income_tax "387.44", net_pay "3998.33". clauses array? Likely array of strings. Need JSON object no markdown.

Double-check reference schedule: "Authoritative case reference schedule": first-half rate 0.07 cap 5000.00 deduction 400.00 free 900.00 upper 3300.00 middle_rate 0.08 upper_rate 0.18. Yes.

Need ensure allowed deduction cap: R4 says must not exceed selected deduction cap or gross pay minus rounded employee contribution. Gross minus contribution = 4649.99. deduction cap 400.00. 264.22 okay.

Potential issue: contract gross differs. Amendment effective_month 2026-01 <= 2026-02. amount equals payroll record gross 4999.99. approved true. Resolves. So calculate.

Need answer JSON only.

Let's craft. Maybe include clauses as ["R1","R2","R3","R4","R5","R6","R9"]. Is R9 needed? Yes. Could include R7? The prompt says calculated answers cite R1 through R6, and also R9 only when amendment needed. So no R7. Good.

Need no Markdown. Final.
Rollout #2 100.0% passed · 3.8s · $0.0015
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
We need answer JSON only. Need process. Need be careful. We need calculate payroll for 2026-02. Authoritative case schedule first-half applies. Need check conflict contract_gross_pay differs from gross_pay? Contract gross 5019.61 vs payroll gross 4999.99. Amendment present approved true effective_month 2026-01 <= 2026-02, amount equals payroll record gross_pay 4999.99. Thus resolves conflict under R9. So calculate.

Need use case schedule values: first-half rate 0.07, cap 5000.00, deduction cap 400.00, free 900.00, upper 3300.00, middle_rate 0.08, upper_rate 0.18.

Input gross_pay 4999.99, allowed_deduction 264.22. Need employee contribution = rate * min(gross, cap). min 4999.99 vs 5000 = 4999.99. 4999.99 * 0.07 = 349.9993? Compute: 4999.99 * 7 /100 = 34999.93 /100? Wait 4999.99*7 = 34999.93, /100 = 349.9993. Round half-up to two decimals = 350.00. Need check allowed deduction cap and gross minus rounded contribution. Deduction cap 400.00. Gross - contribution = 4999.99 - 350.00 = 4649.99. Allowed 264.22 <= 400 and <= 4649.99 ok.

Taxable pay = gross - employee_contribution - allowed_deduction = 4999.99 - 350.00 - 264.22 = 4385.77? 4999.99-350=4649.99; -264.22=4385.77 yes.

Income tax progressive:
Taxable 4385.77.
Tax-free amount 900.00 untaxed.
Middle bracket from 900 to upper 3300. Portion = 3300 - 900 = 2400.00 at 0.08 = 192.00.
Upper portion = taxable - upper = 4385.77 - 3300 = 1085.77 at 0.18 = 195.4386? 1085.77*0.18 = 195.4386. Sum = 387.4386. Round half-up to two decimals = 387.44. Need not round intermediate products separately before summing. If round each: 192.00 + 195.44 = 387.44 same. Good.

Net pay = gross - employee_contribution - allowed_deduction - income_tax = 4999.99 - 350.00 - 264.22 - 387.44 = 3998.33? Let's compute: 4999.99 - 350 = 4649.99; -264.22 = 4385.77; -387.44 = 3998.33. Yes.

Need output decision calculate, currency LCR, monetary strings two decimals: gross_pay "4999.99", employee_contribution "350.00", allowed_deduction "264.22", taxable_pay "4385.77", income_tax "387.44", net_pay "3998.33". Clauses: calculated answers cite R1 through R6, and also R9 only when amendment needed to resolve conflict. Here amendment needed, so include R1,R2,R3,R4,R5,R6,R9? R6 for answer format? It says calculated answers cite R1 through R6, and also R9 only when amendment needed. So clauses ["R1","R2","R3","R4","R5","R6","R9"]. Need maybe R9 because conflict resolved. Yes.

Need no extra prose, exactly JSON object. Ensure allowed fields. Optional explanation permitted but not needed. Use exactly required answer fields. For calculate fields: decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. No explanation. Ensure money strings two decimals.

Double-check if allowed_deduction cap: selected deduction cap 400.00. allowed 264.22. Gross minus rounded employee contribution = 4649.99. Fine.

Potential subtle: R4 says allowed_deduction must not exceed selected deduction cap or gross pay minus rounded employee contribution. Subtract both employee contribution and allowed deduction from gross pay to obtain taxable pay. Good.

Potential subtle: R3 employee contribution rate * smaller of monthly gross pay and selected wage cap. Gross 4999.99 < cap 5000.00, so contribution 350.00. If using round half-up: 349.9993 -> 350.00. Yes.

Potential subtle: If contract conflict resolved by amendment? Amendment amount equals payroll record gross_pay, approved true, effective_month 2026-01 <= payroll month 2026-02. Yes. Contract gross differs but amendment resolves. Good.

Need final JSON.
Rollout #3 100.0% passed · 4.4s · $0.0015
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6 R9
exact 100.0% R1 R2 R3 R4 R5 R6 R9
field accuracy 100.0% R1 R2 R3 R4 R5 R6 R9
citations 100.0% R1 R2 R3 R4 R5 R6 R9
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "4999.99",
  "employee_contribution": "350.00",
  "allowed_deduction": "264.22",
  "taxable_pay": "4385.77",
  "income_tax": "387.44",
  "net_pay": "3998.33",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6", "R9"]
}
Reasoning
We need answer JSON only. Need process. Need be careful. We need calculate payroll for 2026-02. Authoritative case reference schedule first-half applies Jan-Jun. Values replace defaults. Need check conflict contract gross_pay differs from gross_pay? Payroll gross 4999.99, contract 5019.61 differs. Amendment present approved true, effective_month 2026-01 <= payroll 2026-02, amount equals payroll record gross_pay 4999.99. Thus resolves conflict under R9. So calculate. Need compute.

Inputs:
gross_pay = 4999.99
payroll_month 2026-02 -> first-half schedule:
rate 0.07
cap 5000.00
deduction cap 400.00
free 900.00
upper begins 3300.00
middle_rate 0.08
upper_rate 0.18

allowed_deduction = 264.22. Must not exceed deduction cap 400 or gross minus rounded employee contribution. Need compute employee contribution = rate * min(gross, cap). Gross 4999.99 < cap 5000.00. Contribution = 4999.99 * 0.07 = 349.9993? Let's compute: 4999.99*7/100 = 34999.93/100 = 349.9993. Round half-up to two decimals = 350.00? 349.9993 -> third decimal 9? Let's see 349.9993: cents 349.99 with third decimal 9, round up to 350.00. Yes employee_contribution 350.00.

Available gross minus rounded contribution = 4999.99 - 350.00 = 4649.99. allowed_deduction 264.22 <= 400 and <=4649.99. OK.

taxable_pay = gross - employee contribution - allowed deduction = 4999.99 - 350.00 - 264.22 = 4385.77? 4999.99 - 350.00 = 4649.99; -264.22 = 4385.77.

Income tax progressive:
Taxable 4385.77.
Tax-free up to 900.00 untaxed.
Middle: portion above 900 up to upper boundary 3300.00. That amount = 3300.00 - 900.00 = 2400.00. Middle tax = 2400 * 0.08 = 192.00.
Upper: portion above 3300.00 = 4385.77 - 3300.00 = 1085.77. Upper tax = 1085.77 * 0.18 = 195.4386? Compute 1085.77*18/100 = 19543.86/100 = 195.4386. Round? R2 says do not round intermediate bracket products separately before summing income tax. Sum = 192.00 + 195.4386 = 387.4386. Round total to two decimals half-up = 387.44 (third decimal 8? 387.4386, cents 387.43, third decimal 8 => 387.44). If rounded upper separately 195.44 + 192 = 387.44 same. Income_tax 387.44.

Net pay = gross - employee contribution - allowed deduction - income tax = 4999.99 - 350.00 - 264.22 - 387.44. Compute 4999.99 - 350=4649.99; -264.22=4385.77; -387.44=3998.33. So net_pay 3998.33.

Need include clauses supporting calculation. Calculated answers cite R1 through R6, and also R9 only when amendment needed to resolve conflict. Here amendment needed to resolve conflict. So clauses likely ["R1","R2","R3","R4","R5","R6","R9"]. Need exactly required answer fields: calculate uses decision, currency, gross_pay, employee_contribution, allowed_deduction, taxable_pay, income_tax, net_pay, clauses. Optional explanation permitted but maybe not include. Need no markdown. Money strings two decimals. Ensure gross_pay "4999.99", employee_contribution "350.00", allowed_deduction "264.22", taxable_pay "4385.77", income_tax "387.44", net_pay "3998.33", currency "LCR", decision "calculate", clauses array. Return JSON object only.

Need ensure no input-only fields. Good.

Double-check conflict: contract gross 5019.61 differs. Amendment approved, effective_month 2026-01 <= 2026-02, amount equals payroll record gross 4999.99. Resolves. Does amendment need to equal payroll record's gross_pay, yes. It does. So calculate.

Potential issue: "Source documents" contains contract and amendment. Payroll record gross. Amendment amount equals payroll. Good.

Need maybe cite R9 because conflict resolved. Yes.

Potential issue: R4 allowed deduction cap from schedule: deduction 400.00. OK.

Potential issue: R1 says schedule numeric values replace defaults. We used.

Potential issue: Contribution cap: min(gross, cap) = 4999.99. rate 0.07. Yes.

Let's craft final JSON.