To support features and enhancement - #799 for precompile more expressive expression-based circuit style - applied [Some Improvements for the PIOP for ZeroCheck](https://eprint.iacr.org/2024/108) - skip round tricks from [GKR for Boolean Circuits with Sub-linear RAM Operations](https://eprint.iacr.org/2025/717) ### Task Lists - [ ] applied zerocheck optimisation in sumcheck protocol (duplicate with #191) - [ ] add skip rounds mechanism