Is there a tool that can allow me to compile Ruby code so that it runs somewhat faster?
For example, I have heard that there is a tool for Python called "pyc" that allows us to compile the code, so that it runs 10 times faster.
The simple answer is that you can't, at least with MRI 1.8 (the standard). This is because 1.8 works by walking the Abstract Syntax Tree. Python, Ruby 1.9, JRuby, and Rubinius use byte code, which allows compilation to an Intermediate Representation (byte code). From MRI Ruby 2.3 it has become easy to do this, see this answer below.
With Rubinius, you can do something as described in this post: http://rubini.us/2011/03/17/running-ruby-with-no-ruby/
In JRuby you can use the "Ahead Of Time" compiler through, I believe, jrubyc.
This isn't really the standard way of doing things and you're generally better off just letting your Ruby implementation handle it like it wants to. Rubinius, at least, will cache byte code after the first compilation, updating it as it needs to.