I have a small lib called ex_url that parses URLs that you might find helpful.

You may also need to think about idna as well. A user may enter a URL using characters that aren’t supported in URLs. By convention and in most browsers they will convert these using punycode under the hood. You would have to do this yourself. There is the idna on hex to help with this.

Unfortunately your regex won’t parse some valid URLs like:

iex> Regex.match? @regex, "https://user:pass@my_site.com"          
false
iex> Regex.match? @regex, "https://my_site.com?tracking_token=some_token"   
false
iex> Regex.match? @regex, "https://my_site.com/" 

All of which can be parsed by the built-in URI module (ie no new dependency). For example:

iex> URI.parse "https://user:pass@my_site.com/"       
%URI{
  authority: "user:pass@my_site.com",
  fragment: nil,
  host: "my_site.com",
  path: "/",
  port: 443,
  query: nil,
  scheme: "https",
  userinfo: "user:pass"
}