Task 10 · GLM 5.3 Flash

← Heatmap / GLM 5.3 Flash · Task 10

GLM 5.3 Flash · Tool use · Task 10 (Calculation, middle bracket) 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	1978.24	1978.24	(malformed)	1978.24
employee contribution	79.13	79.13	(malformed)	79.13
allowed deduction	82.86	82.86	(malformed)	82.86
taxable pay	1816.25	1816.25	(malformed)	1816.25
income tax	61.63	61.63	(malformed)	61.63
net pay	1754.62	1754.62	(malformed)	1754.62
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 · 4 tool calls · 14.1s · $0.0020

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": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]

Assistant

read_document(document_id="8d558bb0cabd2e37-payroll")

Tool

{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}

Assistant

lookup_reference(reference="second-half")

Reasoning

The payroll record has:
- gross_pay: 1978.24
- payroll_month: 2026-10
- allowed_deduction: 82.86

Payroll month 2026-10 is in the second half of 2026. Let me look up the second-half reference.

Tool

{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}

Assistant

calculate(program="gross_pay = 1978.24\ncontribution = round(min(4000.00, gross_pay) * 0.04, 2)\nallowed = 82.86\ntaxable = gross_pay - contribution - allowed\nmiddle_portion = max(0, min(taxable, 3000.00) - 1200.00)\nupper_portion = max(0, taxable - 3000.00)\ntax = round(middle_portion * 0.10 + upper_portion * 0.22, 2)\nnet = gross_pay - contribution - allowed - tax")

Reasoning

The reference row for second-half 2026 (months 2026-07 through 2026-12) covers 2026-10:
- rate: 0.04
- cap: 4000.00
- deduction cap: 400.00
- free: 1200.00
- upper: 3000.00
- middle_rate: 0.10
- upper_rate: 0.22

Now calculate:
1. Employee contribution = rate * min(gross_pay, cap) = 0.04 * min(1978.24, 4000.00) = 0.04 * 1978.24 = 79.1296 → round to 79.13
2. Allowed deduction check: 82.86 ≤ min(400.00, gross_pay - contribution) = min(400.00, 1978.24 - 79.13) = min(400.00, 1899.11) = 400.00. 82.86 ≤ 400.00, OK.
3. Taxable pay = gross_pay - contribution - allowed_deduction = 1978.24 - 79.13 - 82.86 = 1816.25
4. Income tax:
   - Free portion: up to 1200.00 → 0
   - Middle portion: 1200.00 to 3000.00 at 0.10: (min(1816.25, 3000.00) - 1200.00) = 616.25 * 0.10 = 61.625
   - Upper portion: above 3000.00 at 0.22: taxable pay 1816.25 < 3000, so 0.
   - Total tax = 61.625 → round half up to 61.63? Wait, 61.625 rounds to 61.63 with round-half-up. Hmm, but the rule says "Do not round intermediate bracket products separately before summing income tax." So sum = 61.625, then round half up = 61.63.

Actually, let me be careful: 616.25 * 0.10 = 61.625. Round half up to two decimals: 61.63.

5. Net pay = gross_pay - contribution - allowed_deduction - tax = 1978.24 - 79.13 - 82.86 - 61.63 = 754.62

Let me verify: 1978.24 - 79.13 = 1899.11; 1899.11 - 82.86 = 1816.25; 1816.25 - 61.63 = 754.62.

Let me use the calculate tool for exact arithmetic.

Tool

{
  "results": {"gross_pay": "1978.24", "contribution": "79.13", "allowed": "82.86", "taxable": "1816.25", "middle_portion": "616.25", "upper_portion": "0", "tax": "61.63", "net": "1754.62"}
}

Assistant

{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-10 selects the second-half 2026 reference row (rate 0.04, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22) per R1. Employee contribution = 0.04 * min(1978.24, 4000.00) = 79.13 (R3). Allowed deduction 82.86 is within the 400.00 cap and below gross pay minus contribution (1899.11), so it is valid (R4). Taxable pay = 1978.24 - 79.13 - 82.86 = 1816.25 (R4). Income tax: first 1200.00 untaxed; 616.25 at 0.10 = 61.625, rounded half-up to 61.63; no upper-bracket portion (R5). Net pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62 (R6)."
}

Reasoning

Wait, let me recheck net. 1978.24 - 79.13 - 82.86 - 61.63:
1978.24 - 79.13 = 1899.11
1899.11 - 82.86 = 1816.25
1816.25 - 61.63 = 1754.62

I made an arithmetic error earlier. The tool says net = 1754.62. Let me verify: 1816.25 - 61.63 = 1754.62. Yes, 1816.25 - 61.63 = 1754.62. Correct.

Also check allowed deduction validity: 82.86 ≤ deduction cap 400.00 and ≤ gross_pay - contribution = 1899.11. Valid.

Taxable pay = 1816.25. Tax: portion 1200–1816.25 = 616.25 at 0.10 = 61.625 → 61.63 (round half up). Net = 1754.62.

Answer fields: decision: calculate, currency: LCR, gross_pay: "1978.24", employee_contribution: "79.13", allowed_deduction: "82.86", taxable_pay: "1816.25", income_tax: "61.63", net_pay: "1754.62". Clauses: R1, R2, R3, R4, R5, R6.

Rollout #2 -50.0% malformed · 4 tool calls · 11.7s · $0.0018

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 documents and reading the case inputs.

Tool

[
  {"id": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]

Assistant

read_document(document_id="8d558bb0cabd2e37-payroll")

Tool

{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}

Assistant

lookup_reference(reference="second-half")

Reasoning

The payroll record: gross_pay = 1978.24, payroll_month = 2026-10, allowed_deduction = 82.86.

2026-10 is the second half of 2026. Let me look up the second-half reference.

Tool

{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}

Assistant

calculate(program="gross = 1978.24\ncontribution = round(min(4000.00, gross) * 0.04, 2)\ndeduction = 82.86\ntaxable = gross - contribution - deduction\ntax = round(max(0, (min(taxable, 3000.00) - 1200.00)) * 0.10 + max(0, taxable - 3000.00) * 0.22, 2)\nnet = gross - contribution - deduction - tax")

Reasoning

Reference row for 2026-10 (second half, 2026-07 to 2026-12):
- rate: 0.04
- cap: 4000.00
- deduction cap: 400.00
- free: 1200.00
- upper: 3000.00
- middle_rate: 0.10
- upper_rate: 0.22

Now compute:
- employee_contribution = round(min(4000.00, 1978.24) * 0.04, 2) = round(79.1296, 2) = 79.13
- allowed_deduction = 82.86; check cap: 400.00; check gross - contribution = 1978.24 - 79.13 = 1899.11; 82.86 ≤ both, OK.
- taxable_pay = 1978.24 - 79.13 - 82.86 = 816.25
- income_tax: taxable 816.25 ≤ free 1200.00, so tax = 0.00
- net_pay = 1978.24 - 79.13 - 82.86 - 0.00 = 816.25

Let me verify with calculate.

Tool

{
  "results": {"gross": "1978.24", "contribution": "79.13", "deduction": "82.86", "taxable": "1816.25", "tax": "61.63", "net": "1754.62"}
}

Assistant

```json
{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Payroll month 2026-10 selects the second-half reference row (2026-07 to 2026-12): rate 0.04, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle_rate 0.10, upper_rate 0.22. Employee contribution = 0.04 * min(4000.00, 1978.24) = 79.13 (R3). Allowed deduction 82.86 is within both the 400.00 cap and gross pay minus contribution (1899.11) (R4). Taxable pay = 1978.24 - 79.13 - 82.86 = 1816.25 (R4). Income tax: 1816.25 - 1200.00 = 616.25 falls in the middle bracket (below the 3000.00 upper boundary), so tax = 616.25 * 0.10 = 61.625, rounded half-up to 61.63 (R2, R5). Net pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62 (R6)."
}
```

Reasoning

Wait, my mental arithmetic: 1978.24 - 79.13 = 1899.11; 1899.11 - 82.86 = 1816.25. I made an arithmetic error earlier — taxable is 1816.25, not 816.25. The calculator confirms: taxable = 1816.25.

Tax: taxable 1816.25 > free 1200.00. Portion above free up to upper (3000.00): 1816.25 - 1200.00 = 616.25 at 10% = 61.625 → but wait, R2 says "Do not round intermediate bracket products separately before summing income tax." So the tax = 61.625, then rounded to 61.63 (round half up). The calculator computed round(616.25 * 0.10, 2) = 61.63. Since there's only one bracket product, it's the same.

Actually, let me double check: 616.25 * 0.10 = 61.625. Round half up to two decimals = 61.63. Correct.

Net pay = 1978.24 - 79.13 - 82.86 - 61.63 = 1754.62. Confirmed.

Deduction check: 82.86 ≤ 400.00 cap and ≤ 1899.11 (gross - contribution). OK.

Now produce the R6 JSON answer with clauses: R1 (selecting the row for 2026-10), R2 (rounding), R3 (contribution), R4 (deduction and taxable pay), R5 (tax), R6 (net pay). No amendment needed, so no R9.

Rollout #3 100.0% passed · 4 tool calls · 10.7s · $0.0017

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": "8d558bb0cabd2e37-payroll", "kind": "payroll"}
]

Assistant

read_document(document_id="8d558bb0cabd2e37-payroll")

Tool

{
  "kind": "payroll",
  "record": {"gross_pay": "1978.24", "payroll_month": "2026-10", "allowed_deduction": "82.86"}
}

Assistant

lookup_reference(reference="second-half")

Reasoning

The payroll record:
- gross_pay: 1978.24
- payroll_month: 2026-10
- allowed_deduction: 82.86

No contract_gross_pay, no amendment. Month 2026-10 is in 2026, so covered. It's the second half of the year (October). I need to look up the second-half reference.

Tool

{
  "reference": "second-half",
  "months": ["2026-07", "2026-12"],
  "rate": "0.04",
  "cap": "4000.00",
  "deduction": "400.00",
  "free": "1200.00",
  "upper": "3000.00",
  "middle_rate": "0.10",
  "upper_rate": "0.22"
}

Assistant

calculate(program="contribution = round(min(4000.00, 1978.24) * 0.04, 2)\navailable = 1978.24 - contribution\ntaxable = 1978.24 - contribution - 82.86\nabove_free = max(0, taxable - 1200.00)\nabove_upper = max(0, taxable - 3000.00)\nmiddle_portion = above_free - above_upper\ntax = round(middle_portion * 0.10 + above_upper * 0.22, 2)\nnet = 1978.24 - contribution - 82.86 - tax")

Reasoning

Second-half row (2026-07 through 2026-12):
- rate: 0.04
- cap: 4000.00
- deduction cap: 400.00
- free: 1200.00
- upper: 3000.00
- middle_rate: 0.10
- upper_rate: 0.22

Inputs:
- gross_pay = 1978.24
- payroll_month = 2026-10 → second-half row applies
- allowed_deduction = 82.86

Checks:
- gross_pay present ✓
- payroll_month present ✓, in 2026 ✓
- No contract_gross_pay conflict ✓
- allowed_deduction 82.86 ≤ 400.00 (deduction cap) ✓; must also not exceed gross pay minus rounded employee contribution.

Employee contribution = rate × min(gross, cap) = 0.04 × min(1978.24, 4000.00) = 0.04 × 1978.24 = 79.1296 → round half up to 79.13.

Allowed deduction check: gross − contribution = 1978.24 − 79.13 = 1899.11. 82.86 ≤ 1899.11 ✓.

Taxable pay = 1978.24 − 79.13 − 82.86 = 1816.25.

Income tax:
- Free: 1200.00 → untaxed portion: 1816.25 − 1200.00 = 616.25 above free.
- Upper boundary 3000.00; taxable 1816.25 ≤ 3000, so all above-free portion at middle rate 0.10: 616.25 × 0.10 = 61.625 → round half up → 61.63.

Wait — R2 says "Do not round intermediate bracket products separately before summing income tax." So sum bracket products first, then round: 61.625 → 61.63 (round half up at the cent). 61.625 rounds to 61.63 (half up).

Net pay = 1978.24 − 79.13 − 82.86 − 61.63 = 1054.62.

Let me verify with the calculator.

Tool

{
  "results": {"contribution": "79.13", "available": "1899.11", "taxable": "1816.25", "above_free": "616.25", "above_upper": "0", "middle_portion": "616.25", "tax": "61.63", "net": "1754.62"}
}

Assistant

{
  "decision": "calculate",
  "currency": "LCR",
  "gross_pay": "1978.24",
  "employee_contribution": "79.13",
  "allowed_deduction": "82.86",
  "taxable_pay": "1816.25",
  "income_tax": "61.63",
  "net_pay": "1754.62",
  "clauses": ["R1", "R2", "R3", "R4", "R5", "R6"],
  "explanation": "Month 2026-10 selects the second-half reference row (rate 0.04, cap 4000.00, deduction cap 400.00, free 1200.00, upper 3000.00, middle 0.10, upper rate 0.22). Contribution = 0.04 \u00d7 min(1978.24, 4000.00) = 79.13. Allowed deduction 82.86 is within the 400.00 cap and within gross minus contribution (1899.11). Taxable pay = 1978.24 \u2212 79.13 \u2212 82.86 = 1816.25. Tax: first 1200.00 untaxed; 616.25 \u00d7 0.10 = 61.625 \u2192 61.63 (round-half-up, brackets summed before rounding). Net pay = 1978.24 \u2212 79.13 \u2212 82.86 \u2212 61.63 = 1754.62."
}

Reasoning

Results:
- contribution: 79.13
- available for deduction: 1899.11 (82.86 ≤ 1899.11 and ≤ 400.00 cap ✓)
- taxable: 1816.25
- tax: 61.63
- net: 1754.62

Wait, my manual net was 1054.62 — let me recheck: 1978.24 − 79.13 = 1899.11; 1899.11 − 82.86 = 1816.25; 1816.25 − 61.63 = 1754.62. Yes, the calculator is right; I made an arithmetic slip earlier. Net pay = 1754.62.

All checks pass. Output the R6 JSON:
- decision: calculate
- currency: LCR
- gross_pay: 1978.24
- employee_contribution: 79.13
- allowed_deduction: 82.86
- taxable_pay: 1816.25
- income_tax: 61.63
- net_pay: 1754.62
- clauses: R1, R2, R3, R4, R5, R6