I did something similar recently with Google's C# protobuf library. I had spotted I was getting CPU bound rather than memory bandwidth bound when doing streaming of uint32 buffers in dotnet gRPC.
I then asked claude to compare the C#/.NET implementation in the library with the C++ version, and it quickly identified that the C# library was missing a couple of fairly cheap optimisations that were present in the C++ version.
If I can help get a PR merged, then it'll be by far the biggest impact of any work I've ever done.
I also compared the Rust version, it had this specific optimisation. The far more popular Tokio/Prost library did not.
Given appropriate guardrails, LLMs are impossibly fast at iterating to find root causes and specific performance bottlenecks.