I have a slideable right panel, which has two tabs: search and filter. These two tabs have form fields which allow users to refine their search result displayed in the main section. The options I came up with are the following: Refine Panel and Refine Results. I also want to reuse the name of this panel for places where users can find tools and filters in the application.
First of all, a bit more clarity in your use case might be helpful. But if I understand correctly you want to provide search and filter in a slide in panel.
My first thought is that this might not be the best pattern to use. Most often I see Search as either an option on the main list screen, or a separate screen of its own... but not as a modal element on top of the main screen (such as a slide-in panel). Either way, the results usually show up in the main screen.
The FILTERS, however, can be presented in a slide-in panel - a fairly common pattern. In fact, I designed an app that worked just that way. The main list was shown on the main screen, searching could happen on that screen, and filters were in a hideaway panel that slid out (effectively) from the right:
Does this pattern make sense for your app?