Add PrecompileTools to reduce TTFX by up to 8000x

[ChrisRackauckas-Claude]

Summary

• Added PrecompileTools.jl dependency with a precompilation workload
• Precompiles common FunctionWrappersWrapper creation and call patterns with Float64/Int types
• Dramatically reduces time-to-first-execution (TTFX) for typical use cases

Benchmark Results

Metric	Before	After	Improvement
using FunctionWrappersWrappers	~0.175s	~0.195s	+11% (PrecompileTools loading overhead)
TTFX: FunctionWrappersWrapper creation	~0.088s	~0.0002s	518x faster
TTFX: First call (Float64)	~0.58s	~0.00007s	8286x faster
TTFX: Second type call (Int)	~0.053s	~0.00007s	757x faster

The startup time has a small overhead from loading PrecompileTools, but the TTFX improvements are dramatic - all compilation now happens during package precompilation instead of at runtime.

Analysis

• No invalidations detected when loading the package
• Precompilation time: ~2.9s (acceptable tradeoff for the TTFX improvements)
• All existing tests pass

Test plan

• Measured baseline startup time and TTFX
• Added PrecompileTools workload for common use patterns
• Verified TTFX improvements after precompilation
• All existing tests pass (Pkg.test())

cc @ChrisRackauckas

🤖 Generated with Claude Code

[ChrisRackauckas-Claude]

Rebased on latest main to include the new introspection functions (unwrap, wrapped_signatures, wrapped_return_types).

Updated precompilation workload also includes these new functions. Note that unwrap has a small remaining compilation time (~6ms) due to the internal Ref dereference, but this is minor compared to the major TTFX improvements for the core functionality.

Final benchmark results (runs 2-3 after precompilation):

Function	Time
using FunctionWrappersWrappers	~0.18s
FunctionWrappersWrapper creation	~0.0002s
First call (Float64)	~0.00007s
Second type call (Int)	~0.00007s
unwrap	~0.006s (residual compilation)
wrapped_signatures	~0.00003s
wrapped_return_types	~0.00003s

All tests pass.