← Lab
ratio
confirmedPython · CPUModel behavior & reasoningJuly 6, 2026
the question
Is a ratio word problem hard because the numbers are big, or because the unit price is a fraction?
what came out
Magnitude dominates for both models -- accuracy roughly halves from small to large answers. A fractional unit price is a non-issue for the 1.5B (falsifying 'fractions are hard') but crushes the 0.5B at small magnitude (0.31->0.06). Capability-gated, and only visible once the magnitude confound is controlled. Exact oracle.
method & receipts
- Result: confirmed
- Reproducible — one script re-runs the whole thing from scratch.
- Independently reviewed — an adversarial review pass, kept in the repo.
- Machine-readable claims — every reported number, in a checkable file.
- Tested — a correctness/benchmark suite ships alongside the code.
→ read the code and re-run it
github.com/v-code01/ratio