GPT-5.6 Luna vs GPT-5.6 Sol for everyday maths

The verdict

Effectively a dead heat: 9998

Same 12 everyday maths tasks, marked blind by three rival labs. GPT-5.6 Sol took 2 tasks, GPT-5.6 Luna took 1, 9 tied. Tested 14 Aug 2026.

Where they differed most

The task — Mortgage overpayment intuition

In under 90 words, explain why overpaying £100/month early in a 25-year mortgage saves more interest than the same overpayments in the final 5 years. No formulas — the reason, in plain English.

Mortgage interest is charged on the amount you still owe. An extra £100 paid early reduces your balance sooner, so you avoid interest on that £100 for many more years. Those savings can also reduce future interest, because each later interest charge is based on a slightly smaller balance. In the final five years, the balance is already much lower and there is less time left for the overpayment to prevent interest, so the same £100 saves far less overall.
Mortgage interest is charged on the amount you still owe. Overpaying early reduces that balance for many years, so you avoid interest on the overpaid amount throughout most of the mortgage. It also means more of each later payment goes toward clearing the remaining debt rather than interest. In the final five years, the balance is already much lower and there is little time left for interest to build up, so identical overpayments save far less.

Task by task

TaskGPT-5.6 LunaGPT-5.6 Sol
VAT both ways1010
Percentage change vs points1010
Unit price comparison1010
Mortgage overpayment intuition109
Split a bill with a twist1010
Compound vs simple1010
The discount stack1010
Reverse percentage1010
Rate to reality910
Average of averages trap1010
Estimate honestly910
Refuse false precision1010

Full receipts: GPT-5.6 Luna, GPT-5.6 Sol · judges claude-sonnet-5, gemini-3.1-pro-preview, grok-4.5

Questions people ask

Which is better for everyday maths: GPT-5.6 Luna or GPT-5.6 Sol?

Effectively a dead heat: GPT-5.6 Sol edged it 99/100 to 98/100 on our everyday maths suite — too close to matter, so pick on price or the product you already use.

How was this tested?

Both models answered the identical published everyday maths 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 everyday maths head-to-heads: Claude Opus 4.8 vs GPT-5.6 Sol · Claude Opus 4.8 vs GPT-5.6 Luna · GPT-5.6 Sol vs GPT-5.6 Terra · GPT-5.6 Luna vs GPT-5.6 Terra · GPT-5.6 Sol vs Grok 4.5 · Claude Opus 4.6 vs GPT-5.6 Sol

Full ranking: Best AI for everyday maths · model pages: GPT-5.6 Luna, GPT-5.6 Sol