Saving a search only seems to save the search term, not the Sort By or Search By filters. So for example if I search for author = Jar sorted by popularity, when I come back to that search in the menu, it just searches for anything with Jar in the author/title/description, as seen in the screenshot.

I think your search refinement is supposed to be saved along with your search?

But I guess maybe this was not intended.

On the one hand the saved search listed in your sidebar doesn't indicate that any additional refinements were saved with the term. But on the other hand, the menu kind of makes it seem like you can search, refine, and then save what you see into your saved searches.