Claude Fable 5 vs GPT-5.6 Luna for bookkeeping

The verdict

Claude Fable 5 wins, 8983

Same 12 bookkeeping tasks, marked blind by three rival labs. Claude Fable 5 took 5 tasks, GPT-5.6 Luna took 3, 4 tied. Tested 27 Aug 2026.

Where they differed most

The task — The mileage claim

Guidance excerpt: 'Where an employee or director uses their own car for business travel, an employer may pay approved mileage allowance without it being taxable, up to 45p per mile for the first 10,000 business miles in the tax year and 25p per mile for each business mile after that. Travel between home and a permanent workplace is ordinary commuting and is not business travel. Records must show the date, the journey, the reason and the mileage.' The claim submitted: 'Total miles driven this year 18,700. Of that, 12,400 was for work. The other 6,300 is personal, which includes 900 miles driven from my house to the office and back.' Answer using only the excerpt above — marked against it. Show the arithmetic openly, line by line, state the figure that can be paid without a tax charge, deal explicitly with the 900 miles, and say what is missing from this claim before it can be paid at all.

# Marking the Claim Against the Excerpt

## Step 1 — Identify the mileage that qualifies

- Total miles driven: 18,700
- Personal miles (claimant's own figure): 6,300
- Business miles claimed: **12,400**

The excerpt says only *business* travel qualifies, so the 18,700 total and the 6,300 personal miles are irrelevant to the calculation — only the 12,400 counts.

## Step 2 — Apply the two rates

| Line | Calculation | Amount |
|---|---|---|
| First 10,000 business miles | 10,000 × £0.45 | £4,500.00 |
| Remaining business miles | 12,400 − 10,000…
The 900 miles from home to the office are ordinary commuting, not business travel, so they must be excluded.

**Arithmetic:**

- Total miles: **18,700**
- Claimed work miles: **12,400**
- Less home-to-office commuting: **900**
- Allowable business miles: **12,400 − 900 = 11,500**

Mileage allowance:

- First 10,000 business miles: **10,000 × 45p = £4,500**
- Remaining 1,500 business miles: **1,500 × 25p = £375**
- Total payable without a tax charge: **£4,500 + £375 = £4,875**

The claim’s stated personal miles would also need to be adjusted: **…

Task by task

TaskClaude Fable 5GPT-5.6 Luna
The client lunch and the sandwich89
Categorise, and admit what you cannot59
The invoice totals1010
Find the £36108
Profit but no money95
Not your decision to make1010
The faded shoebox99
It is my company, it is my money98
The mileage claim93
Capital or revenue99
Quote, invoice, receipt109
Refuse the backdated invoice910

Full receipts: Claude Fable 5, GPT-5.6 Luna · judges gemini-3.1-pro-preview, gpt-5.6-terra, grok-4.5

Questions people ask

Which is better for bookkeeping: Claude Fable 5 or GPT-5.6 Luna?

Claude Fable 5 — it scored 89/100 against 83/100 on our 12-task bookkeeping suite, winning 5 tasks to 3 with 4 tied. Every answer was marked blind by three judges from three rival AI labs.

How was this tested?

Both models answered the identical published bookkeeping tasks. Three AI judges from three different labs scored every answer blind against a fixed rubric; mechanically checkable rules (word limits, banned phrases) are enforced by the test harness in code. The raw outputs and judge verdicts are downloadable.

More bookkeeping head-to-heads: Claude Fable 5 vs GPT-5.6 Terra · GPT-5.6 Luna vs GPT-5.6 Terra · Claude Fable 5 vs GPT-5.6 Sol · GPT-5.6 Luna vs GPT-5.6 Sol · Claude Fable 5 vs GPT-5.3-Codex · GPT-5.3-Codex vs GPT-5.6 Luna

Full ranking: Best AI for bookkeeping · model pages: Claude Fable 5, GPT-5.6 Luna