add benchmarks

Author: heltonmc

README.md

@@ -2,3 +2,34 @@
 
 [![Build Status](https://github.com/"heltonmc"/Bessels.jl/actions/workflows/CI.yml/badge.svg?branch=main)](https://github.com/"heltonmc"/Bessels.jl/actions/workflows/CI.yml?query=branch%3Amain)
 [![Coverage](https://codecov.io/gh/"heltonmc"/Bessels.jl/branch/main/graph/badge.svg)](https://codecov.io/gh/"heltonmc"/Bessels.jl)
+
+
+# Benchmarks
+
+Comparing the relative speed (`SpecialFunctions.jl / Bessels.jl`) for a vector of values between 0 and 100.
+
+## Float32
+
+| function | Relative speed |
+| ------------- | ------------- |
+| besselj0  | 1.7x  |
+| besselj1  | 1.7x |
+| bessely0  | 1.6x  |
+| bessely1  | 1.6x  |
+| besseli0  | 24x  |
+| besseli1  | 22x  |
+| besselk0  | 13x  |
+| besselk1  | 15x  |
+
+## Float64
+
+| function | Relative speed |
+| ------------- | ------------- |
+| besselj0  | 1.7x  |
+| besselj1  | 1.9x |
+| bessely0  | 1.5x  |
+| bessely1  | 1.5x  |
+| besseli0  | 9x  |
+| besseli1  | 7x  |
+| besselk0  | 5x  |
+| besselk1  | 5x  |