Chunk 12.1

This chunk began Phase 4 (Compute-Level Optimizations) of the cuzk pipeline, implementing the highest-impact items from `c2-optimization-proposal-4.md`. The first step was a thorough codebase reconnaissance to understand the dependency chain: `bellpepper-core` (LC Indexer) and `supraseal-c2` (CUDA code) both come from crates.io, requiring local forks to modify. We created `extern/bellpepper-core/` and `extern/supraseal-c2/` directories, patched them into the workspace via `[patch.crates-io]`, and implemented **A1 (SmallVec for LC Indexer)** — replacing `Vec<(usize, Scalar)>` with `SmallVec<[(usize, Scalar); 4]>` to eliminate ~780M heap allocations per partition — and **A2 (pre-sizing)** — adding a `new_with_capacity` constructor to `ProvingAssignment` to avoid ~32 GiB of reallocation copies. On the GPU side, we implemented **A4 (parallelize B_G2 CPU MSMs)** by changing a sequential loop to `groth16_pool.par_map`, **B1 (pin a,b,c vectors)** by adding `cudaHostRegister`/`cudaHostUnregister` around the Rust-provided arrays, and **D4 (per-MSM window tuning)** by splitting the single `msm_t` into three instances tuned for L/A/B_G1 popcounts. An initial E2E single-proof benchmark on the RTX 5070 Ti with real 32 GiB PoRep data showed a **regression** — 106s total vs the 89s baseline from Phase 3. Synthesis rose from 54.7s to 61.6s (A2's upfront 328 GiB allocation caused page-fault storms), and GPU time rose from 34s to 44.2s (B1's `cudaHostRegister` overhead for 30 calls × 4 GiB each). We immediately reverted the A2 hint usage in the synthesis call sites (keeping the API available) and added **detailed phase-level timing instrumentation** to the CUDA code using `std::chrono`, measuring prep_msm, NTT+MSM_H, batch_addition, tail MSMs, B_G2, proof assembly, and pin/unpin separately. This instrumentation will allow precise A/B testing to isolate each optimization's true impact and identify which changes need refinement before the final Phase 4 validation.

The Phase 4 Optimization Campaign: From Reconnaissance to Regression to Instrumentation in the cuzk SNARK Proving Engine 2345 words

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