Luma Payroll Gym
← Heatmap / GLM 5.3 Flash · Task 71
GLM 5.3 Flash · Single-turn · Task 71 (Calculation, upper bracket) Mean 0.0%
Field Expected Rollout #1 (-50%) Rollout #2 (100%) Rollout #3 (-50%)
decision calculate (malformed) calculate (malformed)
currency LCR (malformed) LCR (malformed)
gross pay 3693.66 (malformed) 3693.66 (malformed)
employee contribution 221.62 (malformed) 221.62 (malformed)
allowed deduction 317.42 (malformed) 317.42 (malformed)
taxable pay 3154.62 (malformed) 3154.62 (malformed)
income tax 194.02 (malformed) 194.02 (malformed)
net pay 2960.60 (malformed) 2960.60 (malformed)
clauses R1 R2 R3 R4 R5 R6 (malformed) R1 R2 R3 R4 R5 R6 (malformed)
Prompt
Process this monthly payroll record under the supplied rulebook. Return the R6 or R7 JSON answer.
Source documents: {"58270f5a8f66aa95-payroll": {"kind": "payroll", "record": {"gross_pay": "3693.66", "payroll_month": "2026-08", "allowed_deduction": "317.42"}}, "58270f5a8f66aa95-contract": {"kind": "contract", "gross_pay": "3693.66"}}
Authoritative case reference schedule: {"first-half": {"rate": "0.07", "cap": "3500.00", "deduction": "400.00", "free": "1000.00", "upper": "3600.00", "middle_rate": "0.12", "upper_rate": "0.22"}, "second-half": {"rate": "0.06", "cap": "4000.00", "deduction": "400.00", "free": "1000.00", "upper": "3000.00", "middle_rate": "0.08", "upper_rate": "0.22"}}
Rollouts
Rollout #1 -50.0% malformed · 2.8s · $0.0007
ComponentScoreClauses
decision 0.0% R1 R2 R3 R4 R5 R6
exact 0.0% R1 R2 R3 R4 R5 R6
field accuracy 0.0% R1 R2 R3 R4 R5 R6
citations 0.0% R1 R2 R3 R4 R5 R6
Assistant
```json
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3693.66",
  "employee_contribution": "221.62",
  "allowed_deduction": "317.42",
  "taxable_pay": "3154.62",
  "income_tax": "194.02",
  "net_pay": "2960.60",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-08 selects the second-half row of the authoritative case schedule (rate 0.06, wage cap 4000.00, deduction cap 400.00, tax-free 1000.00, upper boundary 3000.00). Contribution: 0.06 × 3693.66 = 221.62 (rounded). Allowed deduction 317.42 is within the 400.00 cap and within available pay 3472.04. Taxable pay: 3693.66 − 221.62 − 317.42 = 3154.62. Tax: first 1000.00 untaxed; 2000.00 × 0.08 = 160.00; 154.62 × 0.22 = 34.0164; total 194.0164 → 194.02. Net pay: 3693.66 − 221.62 − 317.42 − 194.02 = 2960.60. Contract gross pay matches the payroll record, so no amendment is needed."
}
```
Reasoning
Let me work through this.

Payroll month: 2026-08 → second-half row of the case schedule: rate 0.06, cap 4000.00, deduction 400.00, free 1000.00, upper 3000.00, middle_rate 0.08, upper_rate 0.22.

Gross pay: 3693.66. Contract gross pay: 3693.66 — matches, no conflict.

Employee contribution: rate × min(gross, cap) = 0.06 × min(3693.66, 4000.00) = 0.06 × 3693.66 = 221.6196 → round half up to 2 dp = 221.62.

Allowed deduction: 317.42. Check cap: 400.00 — OK. Check gross minus rounded contribution: 3693.66 − 221.62 = 3472.04. 317.42 ≤ 3472.04 — OK.

Taxable pay: 3693.66 − 221.62 − 317.42 = 3154.62.

Income tax: brackets:
- Up to 1000.00: untaxed.
- 1000.00 to 3000.00 (upper boundary): 2000.00 × 0.08 = 160.00.
- Above 3000.00: 3154.62 − 3000.00 = 154.62 × 0.22 = 34.0164.

Total = 160.00 + 34.0164 = 194.0164 → round = 194.02.

Net pay: 3693.66 − 221.62 − 317.42 − 194.02 = 2960.60.

Let me verify: 3693.66 − 221.62 = 3472.04. 3472.04 − 317.42 = 3154.62. 3154.62 − 194.02 = 2960.60. Yes.

Output JSON: decision calculate, currency LCR, gross_pay "3693.66", employee_contribution "221.62", allowed_deduction "317.42", taxable_pay "3154.62", income_tax "194.02", net_pay "2960.60", clauses R1, R2, R3, R4, R5, R6. No amendment needed since contract matches.
Rollout #2 100.0% passed · 3.1s · $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": "3693.66",
  "employee_contribution": "221.62",
  "allowed_deduction": "317.42",
  "taxable_pay": "3154.62",
  "income_tax": "194.02",
  "net_pay": "2960.60",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "2026-08 selects the case schedule's second-half row (rate 0.06, wage cap 4000.00, deduction cap 400.00, free 1000.00, upper 3000.00, middle 0.08, upper rate 0.22). Contribution: 0.06 \u00d7 3693.66 = 221.62. Allowed deduction 317.42 is within the 400.00 cap and within gross minus contribution (3472.04). Taxable pay: 3693.66 \u2212 221.62 \u2212 317.42 = 3154.62. Tax: first 1000.00 untaxed, 2000.00 \u00d7 0.08 = 160.00, 154.62 \u00d7 0.22 = 34.0164, total rounded to 194.02. Net pay: 3693.66 \u2212 221.62 \u2212 317.42 \u2212 194.02 = 2960.60. Contract gross pay matches the payroll record, so no amendment is needed."
}
Reasoning
Let me process this payroll record.

Inputs:
- gross_pay: "3693.66"
- payroll_month: "2026-08"
- allowed_deduction: "317.42"
- contract gross_pay: "3693.66" (matches, no conflict)
- Case reference schedule provided (authoritative). For 2026-08, that's second-half row: rate 0.06, cap 4000.00, deduction 400.00, free 1000.00, upper 3000.00, middle_rate 0.08, upper_rate 0.22.

Check R7 order:
1. gross_pay present ✓
2. payroll_month present ✓
3. 2026-08 has a reference row (second-half, per case schedule) ✓
4. contract_gross_pay = 3693.66 = gross_pay, matches, no conflict ✓

Calculations:
- Employee contribution: rate 0.06 × min(3693.66, 4000.00) = 0.06 × 3693.66 = 221.6196 → round half up to 221.62
- Allowed deduction check: cap 400.00; gross − contribution = 3693.66 − 221.62 = 3472.04. Allowed deduction 317.42 ≤ 400.00 and ≤ 3472.04 ✓
- Taxable pay: 3693.66 − 221.62 − 317.42 = 3154.62
- Income tax: brackets with free 1000.00, upper boundary 3000.00, middle 0.08, upper 0.22.
  - Taxable 3154.62.
  - Portion up to 1000: untaxed.
  - Portion 1000 to 3000: 2000.00 × 0.08 = 160.00
  - Portion above 3000: 3154.62 − 3000.00 = 154.62 × 0.22 = 34.0164
  - Total: 160.00 + 34.0164 = 194.0164 → round half up → 194.02
- Net pay: 3693.66 − 221.62 − 317.42 − 194.02 = 2960.60

Let me verify: 3693.66 − 221.62 = 3472.04. 3472.04 − 317.42 = 3154.62. 3154.62 − 194.02 = 2960.60. ✓

Answer JSON:
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3693.66",
  "employee_contribution": "221.62",
  "allowed_deduction": "317.42",
  "taxable_pay": "3154.62",
  "income_tax": "194.02",
  "net_pay": "2960.60",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}

No amendment needed, so don't cite R9. Cite R1–R6.
Rollout #3 -50.0% malformed · 3.3s · $0.0009
ComponentScoreClauses
decision 0.0% R1 R2 R3 R4 R5 R6
exact 0.0% R1 R2 R3 R4 R5 R6
field accuracy 0.0% R1 R2 R3 R4 R5 R6
citations 0.0% R1 R2 R3 R4 R5 R6
Assistant
```json
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3693.66",
  "employee_contribution": "221.62",
  "allowed_deduction": "317.42",
  "taxable_pay": "3154.62",
  "income_tax": "194.02",
  "net_pay": "2960.60",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-08 selects the second-half row of the authoritative case schedule (R1). Employee contribution = 0.06 × min(3693.66, 4000.00) = 221.62 (R3). Allowed deduction 317.42 is within the 400.00 cap and within available pay 3472.04 (R4). Taxable pay = 3693.66 − 221.62 − 317.42 = 3154.62 (R4). Income tax = 0.00 on first 1000.00 + 0.08 × 2000.00 + 0.22 × 154.62 = 194.0164 → 194.02 (R5). Net pay = 3693.66 − 221.62 − 317.42 − 194.02 = 2960.60 (R6). Contract gross pay matches the payroll record, so no amendment is needed."
}
```
Reasoning
Let me process this payroll record.

Inputs:
- gross_pay: "3693.66"
- payroll_month: "2026-08"
- allowed_deduction: "317.42"
- contract gross_pay: "3693.66" (matches, no conflict)
- Authoritative case reference schedule provided.

Payroll month 2026-08 is in second-half (2026-07 through 2026-12). Use the schedule's second-half row:
- rate: 0.06
- cap: 4000.00
- deduction cap: 400.00
- tax-free: 1000.00
- upper bracket begins: 3000.00
- middle rate: 0.08
- upper rate: 0.22

Step 1: Employee contribution (R3): rate 0.06 × min(3693.66, 4000.00) = 0.06 × 3693.66 = 221.6196 → round to 221.62.

Step 2: Allowed deduction check (R4): 317.42 ≤ 400.00 (cap) ✓. Must not exceed gross pay minus rounded contribution: 3693.66 − 221.62 = 3472.04. 317.42 ≤ 3472.04 ✓.

Step 3: Taxable pay (R4): gross − contribution − deduction = 3693.66 − 221.62 − 317.42 = 3154.62.

Let me compute: 3693.66 − 221.62 = 3472.04. 3472.04 − 317.42 = 3154.62. Yes.

Step 4: Income tax (R5):
- Tax-free: 1000.00 → untaxed.
- Middle portion: from 1000.00 to 3000.00 = 2000.00 × 0.08 = 160.00.
- Upper portion: above 3000.00: 3154.62 − 3000.00 = 154.62 × 0.22 = 34.0164.
- Total tax = 160.00 + 34.0164 = 194.0164 → round half up → 194.02.

Step 5: Net pay (R6): 3693.66 − 221.62 − 317.42 − 194.02 = ?

3693.66 − 221.62 = 3472.04. 3472.04 − 317.42 = 3154.62. 3154.62 − 194.02 = 2960.60.

Net pay = 2960.60.

Answer JSON:
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "3693.66",
  "employee_contribution": "221.62",
  "allowed_deduction": "317.42",
  "taxable_pay": "3154.62",
  "income_tax": "194.02",
  "net_pay": "2960.60",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"]
}

Contract matches gross pay, so no amendment needed; don't cite R9.

The clause references should support the calculation: R1 (scope/reference row selection), R2 (money/arithmetic), R3 (contribution), R4 (deduction/taxable), R5 (tax), R6 (net pay/answer format).