Hi @chaosma @yczhangsjtu FYI, please refer changes on file "mpcs/src/basefold/commit_phase.rs", other are just noise and can be ignored.

For benchmarn, before/after this change, e2e remain the same 😂
Few reason

• I didn't apply complex threading model as prover_v2 in ceno main prove part sumcheck, so in rayon, different thread might take different part of vector, so the cache hit rate is not good
• basefold openining overhead is small comparing with other part

But the good thing is we can share sumcheck implementation between main proof/mpcs, so we can reduce technical burden and avoid duplicate implementation

Hope this PR can help on WHIR implementation, if you need any input or review on WHIR, I will be happy to learn that and review your implementation