1. A system comprising: a memory; at least one processor coupled to the memory; a query rewrite module, executable by the at least one processor, configured to: receive an initial search query from a user, the initial search query comprising at least one search operator and at least one search term; and generate a rewritten search query based on the initial search query, the query rewrite module being configured to rewrite at least one optional search operator in the initial search query using at least one required search operator and at least one exclusion search operator in response to a determination that the initial search query comprises the at least one optional search operator and does not comprise any required search operators; a query match module configured to generate search results for the rewritten search query; and a query results module configured to cause the search results to be presented to the user.