Chunk 23.1

This chunk marks a decisive shift from Phase 7's architectural implementation into deep performance analysis and the design of Phase 8. Building on the 64.3% GPU utilization observed in the previous phase, the assistant rigorously analyzes the timeline gaps, discovering that the inter-partition delays are dominated by CPU-side overhead (proof serialization, `b_g2_msm`, mutex contention, `malloc_trim`) rather than pure CUDA idle time. The root cause is precisely identified: the static `std::mutex` in `generate_groth16_proofs_c` holds for the entire ~3.5s function, but only ~2.1s is actual CUDA kernel execution, leaving ~1.3s of CPU work that could theoretically overlap with another partition's GPU time. This diagnosis motivates the design of a dual-GPU-worker interlock. The assistant traces the full call path from Rust's `prove_from_assignments` through the FFI boundary into the C++ CUDA code to confirm the exact lock points, and verifies that the `semaphore_t` in `sppark` is a counting semaphore with safe barrier semantics for the proposed restructuring. The core idea involves two GPU workers per physical GPU sharing a fine-grained mutex that brackets only the CUDA kernel region, allowing one worker's CPU preamble and epilogue to execute concurrently with the other worker's GPU kernels. The findings are synthesized into `c2-optimization-proposal-8.md`, a detailed specification for Phase 8. The document outlines the call path trace, the static mutex problem, and a recommended implementation approach (Option 4: passed mutex) requiring approximately 75 lines of changes across 6 files. The proposal promises to boost GPU efficiency from ~64% to ~98%, yielding a 3-10% throughput improvement. The document is committed to the `feat/cuzk` branch as `71f97bc7`, formalizing the next optimization frontier for the proving engine.

From Diagnosis to Design: How a 64.3% GPU Efficiency Number Drove Phase 8 of the cuzk Proving Engine 2117 words

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