Skip to main content
← 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