generalize main sumcheck as one gkr layer #964
Merged
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This PR build on top of #799 with one extra 48ded1a to introduce backend expression and cached in constrain system. This align the design with pre-compile so its easier for next step refactor to introduce precompile chip in main flow.
Main sumcheck read/write lookup expression was simplified, as post
evaluate()was also removed.Expression
Expression will be simplified into 2 kind: frontend and backend expression
After circuit setup, both expression content are all known and freezed. During runtime, we can take backend expression and evaluate its scalar with "challenge/instance" then the final expression can be put into sumcheck.
benchmark
The nice thing is before/after change, there is no performance difference.