docs: Add benchmarking instructions

README.md

@@ -4,8 +4,36 @@ We are researching the methods and implement the methods that can accelerate mul
 
 ## mopro-msm
 
-This is the crate that possess various of implementation of MSM functions, which are integrated in `mopro-core`. 
+This is the crate that possess various of implementation of MSM functions, which are integrated in `mopro-core`.
+
+### Run benchmark on the laptop
+Currently we support these MSM algorithms on BN254
+- arkworks_pippenger
+- bucket_wise_msm
+- precompute_msm
+- metal::msm (GPU)
+
+Replace `MSM_ALGO` with the algorithm name below to get the benchmarks
+
+Benchmarking for <u>single instance size</u>
+```sh
+cargo test --release --package mopro-msm --lib -- msm::MSM_ALGO::tests::test_run_benchmark --exact --nocapture
+```
+
+Benchmarking for <u>multiple instance size</u>
+```sh
+cargo test --release --package mopro-msm --lib -- msm::MSM_ALGO::tests::test_run_multi_benchmarks --exact --nocapture
+```
 
 ## gpu-exploration-app
 
 This is a benchmark app to compare the performance of different algorithm on IOS device.
+
+Run this command on the project root directory to compile metal library for OS
+```sh
+# for macOS
+bash mopro-msm/src/msm/metal/compile_metal.sh
+
+# for iphoneOS
+bash mopro-msm/src/msm/metal/compile_metal_iphone.sh
+```

gpu-acceleration-app/README.md

@@ -14,7 +14,7 @@ CONFIGURATION=debug cargo run --bin ios
 
 ### running Benchmarks on IOS devices
 
-1. Make sure you are in `./mopro-msm/gpu-acceleartion-app/`.
+1. Make sure you are in `./gpu-acceleartion-app/`.
 2. Run `CONFIGURATION=release cargo run --bin ios` for release building.