EM scaling — model size & training length

Faithful free-form EM% (gpt-5.6-sol judge; aligned<30 & coherent>50). For EM vs LoRA rank see the em-ranksweep tab.

EM vs model size (Qwen2.5-Coder-Instruct, LoRA r32, 1 epoch)

modelEM%mean-alignal<30
Coder-0.5B2.86446
Coder-1.5B4.27822
Coder-3B6.38223
Coder-7B0.9922
Coder-14B1.1934
Coder-32B (from repro tab)1.58320
EM peaks at Coder-3B (6.3%), low at 7–32B (~1%) — under the gpt-5.6-sol judge, the opposite of the paper's "32B strongest" (GPT-4o judge). CAVEAT: small models (0.5–3B) have low mean-align + high al<30, so coherence-filtered strict EM may be inflated by low-quality generations — treat small-model EM cautiously.

EM vs training length (Qwen3.5-9B)

Qwen3.5-9Bep1ep2ep3
rank 10.0—1.6
rank 321.31.81.4
The rank floor is epoch-dependent. Rank-1 is ~0% at 1 epoch (see em-ranksweep) but reaches 1.6% by epoch 3; rank-32 rises ep1 1.3 → ep2 1.8 then plateaus. Low rank can substitute training time for capacity — a modest, single-seed result worth a fuller epoch sweep.