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I found out that there already exists a Pippenger's implementation for supranational/blst rust binding, which appears to use buckets (a large grid for storing the results) and a thread pool for parallelization.
Implementing it achieved the following results:
However, there seemed to be a little caveat that it didn't work for certain lengths:
scalars length mismatch
test_fk_multi_chunk_len_1_512
testSo we opted out for a naive approach for lengths less than 8.
Related issue: #202