Storing and Editing Search Queries in Job Find Table Feature

When creating a new table from "Find jobs", is the initial search stored somewhere so I can re-use it and/or edit it? It seems like the query is always lost once you create the table. Every time you want to search again, you have to enter all search parameters again manually (very painful). I noticed that you can select the search when adding more companies to the table (view screenshot). But I can neither edit it nor even see the exact search parameters that were used. Am I missing something?