Salesforce has a Matched Leads Component that can be placed on an account to show which leads match the account.

The problem is that the layout is not conducive to the work that my company needs to do and I need to create a custom component which uses the same matching logic but displays in a more traditional table format.

I cannot find any documentation on where to start on how to utilize the matching rules engine in Apex code to get a list of leads that I can then manipulate into our needed format.