Luma Payroll Gym
← Heatmap / GLM 5.3 Flash · Task 43
GLM 5.3 Flash · Single-turn · Task 43 (Calculation, at the upper bracket line) Mean 55.0%
Field Expected Rollout #1 (100%) Rollout #2 (-35%) Rollout #3 (100%)
decision calculate calculate calculate calculate
currency LCR LCR LCR LCR
gross pay 3260.87 3260.87 3260.87 3260.87
employee contribution 260.87 260.87 260.87 260.87
allowed deduction 0.00 0.00 0.00 0.00
taxable pay 3000.00 3000.00 3000.00 3000.00
income tax 190.00 190.00 190.00 190.00
net pay 2810.00 2810.00 1810.00 2810.00
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: {"266ad92a0f7f5085-payroll": {"kind": "payroll", "record": {"gross_pay": "3260.87", "payroll_month": "2026-08", "allowed_deduction": "0.00"}}, "266ad92a0f7f5085-contract": {"kind": "contract", "gross_pay": "3260.87"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "4500.00", "deduction": "400.00", "free": "1200.00", "upper": "2800.00", "middle_rate": "0.08", "upper_rate": "0.18"}, "second-half": {"rate": "0.08", "cap": "5000.00", "deduction": "400.00", "free": "1100.00", "upper": "3000.00", "middle_rate": "0.10", "upper_rate": "0.22"}}
Rollouts
Rollout #1 100.0% passed · 5.9s · $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": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "2810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-08 selects the second-half row of the authoritative case schedule. Employee contribution: 0.08 x min(3260.87, 5000.00) = 260.87. Allowed deduction 0.00 is within the 400.00 cap and gross minus contribution. Taxable pay: 3260.87 - 260.87 - 0.00 = 3000.00. Income tax marginal: first 1100.00 untaxed, next 1900.00 at 0.10 = 190.00, remainder above 3000.00 at 0.22 = 0.00. Net pay: 3260.87 - 260.87 - 0.00 - 190.00 = 2810.00. Contract gross matches the payroll record, so no amendment is needed."
}
Reasoning
Let me process this payroll record.

Inputs:
- gross_pay: 3260.87
- payroll_month: 2026-08
- allowed_deduction: 0.00
- contract gross_pay: 3260.87 (matches, so no conflict, no amendment needed)

Case reference schedule:
- second-half (2026-07 through 2026-12): rate 0.08, cap 5000.00, deduction 400.00, free 1100.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22

Calculation:
1. Employee contribution (R3): rate 0.08 × min(3260.87, 5000.00) = 0.08 × 3260.87 = 260.8696 → 260.87 (rounded half-up to 2 decimals)

Let me compute: 3260.87 × 0.08 = 260.8696. Round to 260.87.

2. Allowed deduction check (R4): 0.00 ≤ 400.00 cap and ≤ gross - contribution = 3260.87 - 260.87 = 3000.00. Valid. allowed_deduction = 0.00.

3. Taxable pay (R4): 3260.87 - 260.87 - 0.00 = 3000.00.

4. Income tax (R5): progressive marginal:
- Free amount: 1100.00 → untaxed
- Middle portion: from 1100 to upper 3000: 3000.00 - 1100.00 = 1900.00 × 0.10 = 190.00
- Upper portion: above 3000: 3000.00 - 3000.00 = 0 → 0.00
- Total tax: 190.00

5. Net pay (R6): 3260.87 - 260.87 - 0.00 - 190.00 = 2810.00

Check: 3260.87 - 260.87 = 3000.00; 3000.00 - 190.00 = 2810.00.

Fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "3260.87"
- employee_contribution: "260.87"
- allowed_deduction: "0.00"
- taxable_pay: "3000.00"
- income_tax: "190.00"
- net_pay: "2810.00"
- clauses: R1, R2, R3, R4, R5, R6 (also schedule mention). Calculated answers cite R1 through R6. No amendment needed since contract matches gross_pay exactly, so R9 not cited.

Note: The case schedule says the schedule's numeric values replace defaults for that case. So second-half row: rate 0.08, cap 5000.00, deduction 400.00, free 1100.00, upper 3000.00, middle 0.10, upper 0.22.

Taxable pay: 3000.00 exactly equals the upper boundary 3000.00. Portion above upper boundary = 0. Portion between free (1100) and upper (3000): taxed at middle rate 0.10: 1900 × 0.10 = 190.00. Correct.

Contribution: 0.08 × 3260.87 = 260.8696 → round half-up → 260.87. Yes.

Net pay: 3260.87 - 260.87 - 0.00 - 190.00 = 2810.00.

Output JSON only, no markdown fences.
Rollout #2 -35.0% wrong net pay · 5.5s · $0.0005
ComponentScoreClauses
decision 100.0% R1 R2 R3 R4 R5 R6
exact 0.0% R1 R2 R3 R4 R5 R6
field accuracy 75.0% R1 R2 R3 R4 R5 R6
citations 100.0% R1 R2 R3 R4 R5 R6
Assistant
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "1810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-08 selects the second-half row of the authoritative case schedule (rate 0.08, cap 5000.00, deduction cap 400.00, free 1100.00, upper 3000.00, middle 0.10, upper 0.22). Contract gross pay matches the payroll record, so no amendment is needed. Employee contribution: 0.08 \u00d7 min(3260.87, 5000.00) = 260.87. Allowed deduction 0.00 is within the 400.00 cap and available pay. Taxable pay: 3260.87 \u2212 260.87 \u2212 0.00 = 3000.00. Income tax: first 1100.00 untaxed; 1100.00\u20133000.00 at 0.10 = 190.00; nothing above 3000.00 at 0.22; total 190.00. Net pay: 3260.87 \u2212 260.87 \u2212 0.00 \u2212 190.00 = 1810.00."
}
Reasoning
Let me process this payroll record.

Inputs:
- gross_pay: 3260.87
- payroll_month: 2026-08
- allowed_deduction: 0.00
- contract_gross_pay: 3260.87 (matches, so no conflict)
- Case reference schedule provided: second-half row applies for 2026-08.

Second-half values from the authoritative schedule:
- rate: 0.08
- cap: 5000.00
- deduction: 400.00
- free: 1100.00
- upper: 3000.00
- middle_rate: 0.10
- upper_rate: 0.22

Calculations:
1. Employee contribution = rate × min(gross_pay, cap) = 0.08 × min(3260.87, 5000.00) = 0.08 × 3260.87 = 260.8696 → round to 260.87.

2. Allowed deduction: 0.00. Check: ≤ deduction cap 400.00 ✓; ≤ gross_pay − contribution = 3260.87 − 260.87 = 3000.00 ✓.

3. Taxable pay = gross − contribution − deduction = 3260.87 − 260.87 − 0.00 = 3000.00.

4. Income tax (marginal):
- Tax-free amount: 1100.00
- Upper bracket begins: 3000.00
- Middle rate: 0.10
- Upper rate: 0.22

Taxable pay = 3000.00.
- First 1100.00: untaxed → 0
- 1100.00 to 3000.00: 1900.00 × 0.10 = 190.00
- Above 3000.00: 0 × 0.22 = 0
Total tax = 190.00.

5. Net pay = 3260.87 − 260.87 − 0.00 − 190.00 = 1810.00.

Check: 3260.87 − 260.87 = 3000.00; 3000.00 − 190.00 = 1810.00.

Answer fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "3260.87"
- employee_contribution: "260.87"
- allowed_deduction: "0.00"
- taxable_pay: "3000.00"
- income_tax: "190.00"
- net_pay: "1810.00"
- clauses: R1, R2, R3, R4, R5, R6 (contract matches so no R9 needed)

Money as strings with two decimals. Contract gross pay matches payroll gross pay, so no conflict, no amendment needed.

Citations: R1 (row selection via schedule), R2 (rounding), R3 (contribution), R4 (deduction/taxable), R5 (tax), R6 (net/answer format).
Rollout #3 100.0% passed · 6.6s · $0.0005
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": "3260.87",
  "employee_contribution": "260.87",
  "allowed_deduction": "0.00",
  "taxable_pay": "3000.00",
  "income_tax": "190.00",
  "net_pay": "2810.00",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-08 selects the second-half row of the authoritative case schedule (R1). Contract gross pay matches the record, so no amendment is needed. Contribution: 0.08 x min(3260.87, 5000.00) = 260.87 (R2, R3). Deduction 0.00 is within the 400.00 cap and available pay (R4). Taxable pay: 3260.87 - 260.87 - 0.00 = 3000.00. Tax: 1100.00 untaxed, 1900.00 at 0.10 = 190.00, nothing above the 3000.00 boundary; total 190.00 (R5). Net pay: 3260.87 - 260.87 - 0.00 - 190.00 = 2810.00 (R6)."
}
Reasoning
Let me process this payroll record.

Inputs:
- gross_pay: "3260.87"
- payroll_month: "2026-08"
- allowed_deduction: "0.00"
- contract gross_pay: "3260.87" — matches, so no conflict, no amendment needed.

Payroll month 2026-08 → second-half row. The authoritative case schedule is provided, so its values replace defaults:
- second-half: rate 0.08, cap 5000.00, deduction 400.00, free 1100.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22

Steps (R1-R6):

1. Employee contribution (R3): rate × min(gross, cap) = 0.08 × min(3260.87, 5000.00) = 0.08 × 3260.87 = 260.8696 → round to 260.87.

2. Allowed deduction (R4): 0.00. Check: ≤ deduction cap 400.00 ✓; ≤ gross − rounded contribution = 3260.87 − 260.87 = 3000.00 ✓.

3. Taxable pay (R4): 3260.87 − 260.87 − 0.00 = 3000.00.

4. Income tax (R5), brackets for second-half:
   - Tax-free: 1100.00 → 0 tax
   - Middle band: from 1100.00 to 3000.00 = 1900.00 × 0.10 = 190.00
   - Upper band: above 3000.00 = taxable pay is exactly 3000.00, so nothing above. Tax = 190.00
   - Total: 190.00 → rounded 190.00.

5. Net pay (R6): 3260.87 − 260.87 − 0.00 − 190.00 = 2810.00.

Check: 3260.87 − 260.87 = 3000.00; 3000.00 − 190.00 = 2810.00.

Decision: calculate. Currency LCR.

Fields:
- decision: "calculate"
- currency: "LCR"
- gross_pay: "3260.87"
- employee_contribution: "260.87"
- allowed_deduction: "0.00"
- taxable_pay: "3000.00"
- income_tax: "190.00"
- net_pay: "2810.00"
- clauses: R1, R2, R3, R4, R5, R6. No amendment needed (contract matches gross pay), so no R9.

Clauses: ["R1","R2","R3","R4","R5","R6"] — cite R1 through R6.

Should I include an explanation? Optional. I can include a brief explanation noting the case schedule's second-half row used. But the instructions say "Do not include input-only fields such as payroll_month..." — explanation is permitted optionally. I'll include a brief one.

Output must be a single JSON object, no Markdown fences.