* update nix to flake

* add nix sanity check cronjob

* cherry-pick the commit and fix clippy

* fix multi-open test

* fix srs_gen test

This reverts commit f16db389e3.

* remove sid pcs evals

* minor optimization + more timers

* wip we need to be able to do batch opening for different poly sizes or pad poly with zeros

* fix small public inputs. Only works for pow2 pubinput

Co-authored-by: Charles Chen <chancharles92@gmail.com>

- use sumcheck to batch open PCS
- split Prod and witness into two batches
- benchmark code