Stanford paper proposes rewriting scaling law: optimal synthetic data share rises to 32% with compute

stanfordnlp · x · 2026-10-31

A paper by Nicholas Roberts, Ahmed Ahmed, Suhas Kotha, Percy Liang et al. proposes a "rewriting scaling law" that predicts loss from model size, training tokens, the fraction of rewrite tokens, and epochs over natural data — while charging the compute spent generating rewrites. Key findings: in the compute-limited setting, the optimal rewrite fraction grows with compute, from under 10% at 3×10^18 FLOPs to 32% at 10^22 FLOPs; extrapolating 33x in FLOPs to train a 22B-parameter model yielded a final loss within 1.1% of prediction; and that model beats its rewriter in BPB on several web domains using one-tenth of the rewriter's training compute. A data-limited setting with a same-size rewriter is analyzed as well.

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