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Feat: improve sumcheck verifier #12

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Before this pr, the cycle count is

INFO     ┝━ i [info]: ┌╴IOPVerifierState::verify_round_and_update_state
INFO     ┝━ i [info]: │ ┌╴multi_observe
INFO     ┝━ i [info]: │ └╴11 cycles x4
INFO     ┝━ i [info]: │ ┌╴observe round
INFO     ┝━ i [info]: │ └╴13 cycles x4
INFO     ┝━ i [info]: │ ┌╴sample_ext
INFO     ┝━ i [info]: │ └╴24 cycles x4
INFO     ┝━ i [info]: └╴253 cycles
INFO     ┝━ i [info]: ┌╴IOPVerifierState::check_and_generate_subclaim
INFO     ┝━ i [info]: │ ┌╴extrapolate_uni_poly
INFO     ┝━ i [info]: │ └╴92 cycles x4
INFO     ┕━ i [info]: └╴503 cycles

@kunxian-xia kunxian-xia changed the base branch from main to feat/native_multi_observe June 11, 2025 13:43
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