feat(profiler): implement generic PerfProfiler for MPC protocols

[theroguevigilante]

Description

Implements a generic PerfProfiler for MPC protocols by wrapping the MpcExecution trait. This allows for automated, round-by-round benchmarking of computation vs. I/O time without
protocol-specific instrumentation.

Key Features

• PerfProfiler Wrapper: Intercepts send and complete calls to measure execution timing.
• ProfilerExt Trait: Provides an easy .profile() method to opt-in to profiling.
• Statistical Analysis: Built-in support for calculating Mean, StdDev, and Percentiles (p50, p75, p90) across multiple runs.
• Formatted Output: Display implementation for clean terminal reporting.

---

[ZiaCheemaGit]

@theroguevigilante please give a heads up when starting on something.
However I was also looking into the issue and was curious how you implemented this so I cloned your patch and tested in my workspace.
You can keep nostd by importing from alloc and core e.t.c.
Also I dont know if its a good idea, I used the profiler directly in random_generation_protocol. It looked to work fine.

running 3 tests
RUST_TESTS_SEED=7a657b93375110ed36e944bb03c18388e83fe805f864e38543f325c8c64ded3a
RUST_TESTS_SEED=9805ea2ab1203315369a24da2f8ee1f5e433cabd5c6efe630c885ea7ad6cbbf4
=== MPC Performance Report ===
Round 1: Computation: 55.855µs, I/O: 11.908µs
Round 0: Computation: 237ns, I/O: 185.847µs
Round 1: Computation: 585ns, I/O: 18.356µs
Round 2: Computation: 100.334µs, I/O: 0ns
------------------------------
Total Computation: 157.011µs
Total I/O:         216.111µs
Total Time:        373.122µs

=== MPC Performance Report ===
Round 1: Computation: 54.438µs, I/O: 10.615µs
Round 0: Computation: 235ns, I/O: 31.127µs
Round 1: Computation: 3.203µs, I/O: 2.442668ms
Round 2: Computation: 145.427µs, I/O: 0ns
------------------------------
Total Computation: 203.303µs
Total I/O:         2.48441ms
Total Time:        2.687713ms

=== MPC Performance Report ===
Round 1: Computation: 51.508µs, I/O: 17.401µs
Round 0: Computation: 607ns, I/O: 329.475µs
Round 1: Computation: 824ns, I/O: 2.620497ms
Round 2: Computation: 85.934µs, I/O: 0ns
------------------------------
Total Computation: 138.873µs
Total I/O:         2.967373ms
Total Time:        3.106246ms

=== MPC Performance Report ===
Round 1: Computation: 37.594µs, I/O: 9.016µs
Round 0: Computation: 291ns, I/O: 290.103µs
Round 1: Computation: 582ns, I/O: 2.741237ms
Round 2: Computation: 78.638µs, I/O: 0ns
------------------------------
Total Computation: 117.105µs
Total I/O:         3.040356ms
Total Time:        3.157461ms

=== MPC Performance Report ===
Round 1: Computation: 36.063µs, I/O: 10.334µs
Round 0: Computation: 434ns, I/O: 249.289µs
Round 1: Computation: 911ns, I/O: 2.857082ms
Round 2: Computation: 119.969µs, I/O: 0ns
------------------------------
Total Computation: 157.377µs
Total I/O:         3.116705ms
Total Time:        3.274082ms

Output randomness: bb9c18a2b37992c25f4c1acaeab91aeda9106773390c0f471de633b2e2c54109
=== MPC Performance Report ===
Round 1: Computation: 41.998µs, I/O: 4.299µs
Round 0: Computation: 339ns, I/O: 285.05µs
Round 1: Computation: 665ns, I/O: 13.356µs
Round 2: Computation: 107.471µs, I/O: 0ns
------------------------------
Total Computation: 150.473µs
Total I/O:         302.705µs
Total Time:        453.178µs

test tests::simulation ... ok
=== MPC Performance Report ===
Round 1: Computation: 44.191µs, I/O: 5.168µs
Round 0: Computation: 674ns, I/O: 25.51µs
Round 1: Computation: 3µs, I/O: 374.169µs
Round 2: Computation: 111.766µs, I/O: 0ns
------------------------------
Total Computation: 159.631µs
Total I/O:         404.847µs
Total Time:        564.478µs

RUST_TESTS_SEED=58d69cb1eac246bc7d2a0ba5cdcada7227e73ec9642031ec050fc436c968e916
=== MPC Performance Report ===
Round 1: Computation: 57.17µs, I/O: 43.064µs
Round 0: Computation: 808ns, I/O: 3.406539ms
Round 1: Computation: 934ns, I/O: 477.108µs
Round 2: Computation: 138.188µs, I/O: 0ns
------------------------------
Total Computation: 197.1µs
Total I/O:         3.926711ms
Total Time:        4.123811ms

=== MPC Performance Report ===
Round 1: Computation: 2.93947ms, I/O: 12.455µs
Round 0: Computation: 710ns, I/O: 403.171µs
Round 1: Computation: 443ns, I/O: 832.108µs
Round 2: Computation: 91.932µs, I/O: 0ns
------------------------------
Total Computation: 3.032555ms
Total I/O:         1.247734ms
Total Time:        4.280289ms

=== MPC Performance Report ===
Round 1: Computation: 45.818µs, I/O: 6.615µs
Round 0: Computation: 10.096µs, I/O: 337.034µs
Round 1: Computation: 1.212µs, I/O: 945.989µs
Round 2: Computation: 82.554µs, I/O: 0ns
------------------------------
Total Computation: 139.68µs
Total I/O:         1.289638ms
Total Time:        1.429318ms

=== MPC Performance Report ===
Round 1: Computation: 61.73µs, I/O: 9.072µs
Round 0: Computation: 654ns, I/O: 17.625µs
Round 1: Computation: 3.729µs, I/O: 32.48µs
Round 2: Computation: 64.012µs, I/O: 0ns
------------------------------
Total Computation: 130.125µs
Total I/O:         59.177µs
Total Time:        189.302µs

Output randomness: d30939769306a951dbf021a31041fec7b3819ea01c341e9088843d342191b6ca
test tests::state_machine ... ok
test tests::simulation_async ... ok

test result: ok. 3 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.01s


running 0 tests

test result: ok. 0 passed; 0 failed; 0 ignored; 0 measured; 0 filtered out; finished in 0.00s