← Heatmap / GLM 5.3 Flash · Task 78
GLM 5.3 Flash · Tool use · Task 78 (Calculation, at the tax-free line)
Mean 50.0%
| Field | Expected | Rollout #1 (100%) | Rollout #2 (-50%) | Rollout #3 (100%) |
|---|---|---|---|---|
| decision | calculate | calculate | (malformed) | calculate |
| currency | LCR | LCR | (malformed) | LCR |
| gross pay | 948.45 | 948.45 | (malformed) | 948.45 |
| employee contribution | 47.42 | 47.42 | (malformed) | 47.42 |
| allowed deduction | 1.03 | 1.03 | (malformed) | 1.03 |
| taxable pay | 900.00 | 900.00 | (malformed) | 900.00 |
| income tax | 0.00 | 0.00 | (malformed) | 0.00 |
| net pay | 900.00 | 900.00 | (malformed) | 900.00 |
| clauses | R1 R2 R3 R4 R5 R6 | R1 R2 R3 R4 R5 R6 | (malformed) | R1 R2 R3 R4 R5 R6 |
Prompt
Process this monthly payroll record under the supplied rulebook. Return the R6 or R7 JSON answer. Retrieve the case inputs with list_documents and read_document. Reference rows are available only through lookup_reference. Use calculate for exact decimal arithmetic.
Rollouts
Rollout #1 100.0% passed · 5 tool calls · 15.1s · $0.0015
| Component | Score | Clauses |
|---|---|---|
| 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
list_documents()Reasoning
Let me start by listing the documents to get the case inputs.
Tool
[
{"id": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")Tool
{
"kind": "payroll",
"record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")lookup_reference(reference="second-half")Reasoning
The payroll record has: - gross_pay: 948.45 - payroll_month: 2026-05 - allowed_deduction: 1.03 Payroll month 2026-05 is in 2026, which is covered. May 2026 is in the second half of the year (months 7-12? or is it first-half/second-half?). Let me check the reference. "first-half" and "second-half" — likely first half is Jan-Jun and second half is Jul-Dec. May is in the first half. But I should use lookup_reference to get the exact rows. Let me look up both to be safe — actually, May 2026 is in the first half (Jan-Jun). Let me look up first-half. But to be careful, I could look up both in the same block since they're independent.
Tool
{
"reference": "first-half",
"months": ["2026-01", "2026-06"],
"rate": "0.05",
"cap": "4500.00",
"deduction": "400.00",
"free": "900.00",
"upper": "3300.00",
"middle_rate": "0.08",
"upper_rate": "0.18"
}
Tool
{
"reference": "second-half",
"months": ["2026-07", "2026-12"],
"rate": "0.06",
"cap": "3500.00",
"deduction": "400.00",
"free": "1100.00",
"upper": "2800.00",
"middle_rate": "0.10",
"upper_rate": "0.22"
}
Assistant
calculate(program="gross_pay = 948.45\ncontribution = round(min(948.45, 4500.00) * 0.05, 2)\ndeduction = 1.03\navailable = gross_pay - contribution\ntaxable = gross_pay - contribution - deduction\ntax_free_portion = max(0, taxable - 900.00)\nmiddle_portion = max(0, min(taxable, 3300.00) - 900.00)\nupper_portion = max(0, taxable - 3300.00)\ntax = round(tax_free_portion * 0 + middle_portion * 0.08 + upper_portion * 0.18, 2)\nnet = gross_pay - contribution - deduction - tax")Reasoning
The months lists: first-half covers "2026-01" through "2026-06" (range), second-half covers "2026-07" through "2026-12". Payroll month 2026-05 falls in first-half. First-half row: - rate: 0.05 - cap: 4500.00 - deduction cap: 400.00 - free: 900.00 - upper: 3300.00 - middle_rate: 0.08 - upper_rate: 0.18 Now compute: - gross_pay = 948.45 - employee_contribution = round(min(948.45, 4500.00) * 0.05, 2) = round(47.4225, 2) = 47.42 (round half up: 47.4225 → 47.42 since third decimal is 2... wait, 47.4225 rounds to 47.42 because the digit after the second decimal is 2, which is < 5). Actually 47.4225: two decimal places means we look at 0.0025 → rounds to 0.00? Wait: 47.4225 → the cents part is 42, next digit is 2, so round down → 47.42. Yes. - allowed_deduction = 1.03. Check cap: must not exceed 400.00 or gross pay minus contribution = 948.45 - 47.42 = 901.03. 1.03 ≤ both. OK. - taxable_pay = 948.45 - 47.42 - 1.03 = 900.00 - income tax: taxable 900.00, free = 900.00. Portion above free = 0.00. Tax = 0.00. - net_pay = 948.45 - 47.42 - 1.03 - 0.00 = 900.00 Let me verify with the calculator for exactness.
Tool
{
"results": {"gross_pay": "948.45", "contribution": "47.42", "deduction": "1.03", "available": "901.03", "taxable": "900.00", "tax_free_portion": "0", "middle_portion": "0", "upper_portion": "0", "tax": "0.00", "net": "900.00"}
}
Assistant
{
"decision": "calculate",
"currency": "LCR",
"gross_pay": "948.45",
"employee_contribution": "47.42",
"allowed_deduction": "1.03",
"taxable_pay": "900.00",
"income_tax": "0.00",
"net_pay": "900.00",
"clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
"explanation": "Payroll month 2026-05 selects the first-half reference row (2026-01 to 2026-06). Employee contribution is 0.05 \u00d7 min(948.45, 4500.00) = 47.42 (R3). Allowed deduction 1.03 is within the 400.00 cap and the 901.03 available after contribution (R4). Taxable pay is 948.45 \u2212 47.42 \u2212 1.03 = 900.00, which does not exceed the 900.00 tax-free amount, so income tax is 0.00 (R5). Net pay is 948.45 \u2212 47.42 \u2212 1.03 \u2212 0.00 = 900.00 (R6)."
}
Reasoning
All checks pass: - 2026-05 covered by first-half row (2026-01 to 2026-06). - Contribution: 5% × min(948.45, 4500.00) = 47.42 (rounded). - Allowed deduction 1.03 ≤ 400.00 cap and ≤ 901.03 available. OK. - Taxable pay = 900.00, exactly at the tax-free amount 900.00, so tax = 0.00. - Net = 900.00. Return R6 JSON with clauses R1, R2, R3, R4, R5, R6.
Rollout #2 -50.0% malformed · 4 tool calls · 9.7s · $0.0013
| Component | Score | Clauses |
|---|---|---|
| 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
list_documents()Reasoning
Let me start by listing the documents to get the case inputs.
Tool
[
{"id": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")Tool
{
"kind": "payroll",
"record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")Reasoning
The payroll record: - gross_pay: 948.45 - payroll_month: 2026-05 - allowed_deduction: 1.03 Payroll month 2026-05 is in 2026, so covered. May 2026 — need to determine which reference row applies. The rules mention first-half and second-half. Let me look up the reference tables. Presumably first-half covers Jan–Jun and second-half covers Jul–Dec. May 2026 would be first-half. Let me look up first-half reference.
Tool
{
"reference": "first-half",
"months": ["2026-01", "2026-06"],
"rate": "0.05",
"cap": "4500.00",
"deduction": "400.00",
"free": "900.00",
"upper": "3300.00",
"middle_rate": "0.08",
"upper_rate": "0.18"
}
Assistant
calculate(program="contribution_base = min(948.45, 4500.00)\nemployee_contribution = round(contribution_base * 0.05, 2)\ntaxable_pay = round(948.45 - employee_contribution - 1.03, 2)\ntax_free_portion = max(0.00, min(taxable_pay, 900.00) - 0.00)\nmiddle_portion = max(0.00, min(taxable_pay, 3300.00) - 900.00)\nupper_portion = max(0.00, taxable_pay - 3300.00)\nincome_tax = round(tax_free_portion * 0.00 + middle_portion * 0.08 + upper_portion * 0.18, 2)\nnet_pay = round(948.45 - employee_contribution - 1.03 - income_tax, 2)\ndeduction_cap_check = min(400.00, 948.45 - employee_contribution)")The record has gross_pay 948.45, payroll_month 2026-05, and allowed_deduction 1.03. May 2026 falls in the first-half reference row (2026-01 through 2026-06). Let me compute exactly.
Reasoning
The first-half reference covers months "2026-01" through "2026-06" (listed as ["2026-01", "2026-06"], presumably meaning the range from 2026-01 to 2026-06). May 2026 (2026-05) falls in this range. Reference row for 2026-05: - rate: 0.05 - cap: 4500.00 - deduction cap: 400.00 - free: 900.00 - upper: 3300.00 - middle_rate: 0.08 - upper_rate: 0.18 Inputs: - gross_pay: 948.45 - allowed_deduction: 1.03 Checks: 1. gross_pay present ✓ 2. payroll_month present ✓ 3. Reference row exists for 2026-05 ✓ 4. No contract_gross_pay conflict ✓ Calculations: - Employee contribution = 0.05 × min(948.45, 4500.00) = 0.05 × 948.45 = 47.4225 → round to 47.42 - Allowed deduction check: 1.03 ≤ 400.00 ✓; 1.03 ≤ gross_pay − contribution = 948.45 − 47.42 = 901.03 ✓ - Taxable pay = 948.45 − 47.42 − 1.03 = 900.00 - Income tax: taxable pay 900.00. Tax-free amount = 900.00. Portion up to 900.00 is untaxed → 0. Portion above 900.00 up to 3300.00 at 8% → 0. Portion above 3300.00 at 18% → 0. Income tax = 0.00 - Net pay = 948.45 − 47.42 − 1.03 − 0.00 = 900.00 Let me verify with the calculator.
Tool
{
"results": {"contribution_base": "948.45", "employee_contribution": "47.42", "taxable_pay": "900.00", "tax_free_portion": "900.00", "middle_portion": "0.00", "upper_portion": "0.00", "income_tax": "0.00", "net_pay": "900.00", "deduction_cap_check": "400.00"}
}
Assistant
All checks pass: the month 2026-05 is covered by the first-half reference row, the allowed deduction 1.03 is within both the 400.00 deduction cap and the available pay (948.45 − 47.42 = 901.03), and there are no conflicting inputs or amendments.
```json
{
"decision": "calculate",
"currency": "LCR",
"gross_pay": "948.45",
"employee_contribution": "47.42",
"allowed_deduction": "1.03",
"taxable_pay": "900.00",
"income_tax": "0.00",
"net_pay": "900.00",
"clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
"explanation": "2026-05 selects the first-half reference row (rate 0.05, cap 4500.00, deduction cap 400.00, free 900.00, upper 3300.00). Employee contribution = 0.05 × min(948.45, 4500.00) = 47.4225 → 47.42 (R3). Allowed deduction 1.03 is within the 400.00 cap and available pay (R4). Taxable pay = 948.45 − 47.42 − 1.03 = 900.00, which is entirely within the 900.00 tax-free amount, so income tax = 0.00 (R5). Net pay = 948.45 − 47.42 − 1.03 − 0.00 = 900.00 (R6)."
}
```
Reasoning
All checks pass: - Employee contribution: 0.05 × 948.45 = 47.4225 → 47.42 (R3, R2) - Allowed deduction 1.03 ≤ 400.00 cap and ≤ 948.45 − 47.42 = 901.03 (R4) - Taxable pay: 948.45 − 47.42 − 1.03 = 900.00 (R4) - Income tax: taxable 900.00 is entirely within the tax-free amount of 900.00 → tax = 0.00 (R5) - Net pay: 948.45 − 47.42 − 1.03 − 0.00 = 900.00 (R6) Return the R6 JSON with clauses R1–R6. No amendment needed, so no R9.
Rollout #3 100.0% passed · 4 tool calls · 9.2s · $0.0014
| Component | Score | Clauses |
|---|---|---|
| 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
list_documents()Reasoning
Let me start by listing the documents to see the case inputs.
Tool
[
{"id": "5178404fc18b0e41-payroll", "kind": "payroll"}
]
Assistant
read_document(document_id="5178404fc18b0e41-payroll")Tool
{
"kind": "payroll",
"record": {"gross_pay": "948.45", "payroll_month": "2026-05", "allowed_deduction": "1.03"}
}
Assistant
lookup_reference(reference="first-half")Reasoning
The payroll record: - gross_pay: 948.45 - payroll_month: 2026-05 - allowed_deduction: 1.03 No contract_gross_pay, no amendment. So no conflict. Month 2026-05 is in the first half of 2026 (January–June). Let me look up the reference table.
Tool
{
"reference": "first-half",
"months": ["2026-01", "2026-06"],
"rate": "0.05",
"cap": "4500.00",
"deduction": "400.00",
"free": "900.00",
"upper": "3300.00",
"middle_rate": "0.08",
"upper_rate": "0.18"
}
Assistant
calculate(program="gross = 948.45\ncap = 4500.00\nrate = 0.05\ncontribution = round(min(gross, cap) * rate, 2)\ndeduction = 1.03\navailable = gross - contribution\ntaxable = gross - contribution - deduction\nfree = 900.00\nupper = 3300.00\nmiddle_rate = 0.08\nupper_rate = 0.18\nmiddle_portion = max(0.00, min(taxable, upper) - free)\nupper_portion = max(0.00, taxable - upper)\ntax = round(middle_portion * middle_rate + upper_portion * upper_rate, 2)\nnet = gross - contribution - deduction - tax")Reasoning
The reference row for first half 2026 (months 2026-01 through 2026-06): - rate: 0.05 - cap: 4500.00 - deduction cap: 400.00 - free: 900.00 - upper: 3300.00 - middle_rate: 0.08 - upper_rate: 0.18 Payroll month 2026-05 is covered (2026-01 through 2026-06). Now compute: 1. Employee contribution = rate * min(gross, cap) = 0.05 * min(948.45, 4500.00) = 0.05 * 948.45 = 47.4225 → round to 47.42 (round half up: 47.4225 → 47.42 since third decimal is 2, rounds down). 2. Allowed deduction = 1.03. Check: must not exceed deduction cap (400.00) or gross pay minus rounded employee contribution (948.45 - 47.42 = 901.03). 1.03 ≤ both. OK. 3. Taxable pay = gross - contribution - deduction = 948.45 - 47.42 - 1.03 = 900.00. 4. Income tax: taxable pay = 900.00. Tax-free amount = 900.00. Portion above free up to upper (3300.00) uses middle rate 0.08. Taxable pay is exactly 900.00, so portion above free = 0. Tax = 0.00. 5. Net pay = 948.45 - 47.42 - 1.03 - 0.00 = 900.00. Let me verify with calculate.
Tool
{
"results": {"gross": "948.45", "cap": "4500.00", "rate": "0.05", "contribution": "47.42", "deduction": "1.03", "available": "901.03", "taxable": "900.00", "free": "900.00", "upper": "3300.00", "middle_rate": "0.08", "upper_rate": "0.18", "middle_portion": "0.00", "upper_portion": "0.00", "tax": "0.00", "net": "900.00"}
}
Assistant
{
"decision": "calculate",
"currency": "LCR",
"gross_pay": "948.45",
"employee_contribution": "47.42",
"allowed_deduction": "1.03",
"taxable_pay": "900.00",
"income_tax": "0.00",
"net_pay": "900.00",
"clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
"explanation": "Month 2026-05 selects the first-half 2026 reference row (rate 0.05, cap 4500.00, deduction cap 400.00, free 900.00, upper 3300.00, middle 0.08, upper 0.18). Contribution = 0.05 \u00d7 min(948.45, 4500.00) = 47.4225 \u2192 47.42 (R3). Allowed deduction 1.03 is within the 400.00 cap and the available pay 948.45 \u2212 47.42 = 901.03 (R4). Taxable pay = 948.45 \u2212 47.42 \u2212 1.03 = 900.00 (R4). Taxable pay equals the tax-free amount 900.00, so the middle and upper portions are both 0.00 and income tax is 0.00 (R5). Net pay = 948.45 \u2212 47.42 \u2212 1.03 \u2212 0.00 = 900.00 (R6)."
}
Reasoning
All checks pass: - gross_pay 948.45, month 2026-05 covered by first-half row. - Contribution: 0.05 * min(948.45, 4500.00) = 47.4225 → 47.42 (R2, R3). - Allowed deduction 1.03 ≤ 400.00 cap and ≤ 901.03 available (R4). - Taxable pay = 948.45 - 47.42 - 1.03 = 900.00 (R4). - Tax: taxable 900.00 equals free amount 900.00, so middle portion = 0, upper portion = 0, tax = 0.00 (R5). - Net = 948.45 - 47.42 - 1.03 - 0.00 = 900.00 (R6). No amendment or contract conflict, so no R9 citation needed. Cite R1–R6.