1- Search icon
2- Clear button
Amendment: It is possible to add these two items using icon and reset filter elements. Of course, the only problem is that the reset button is always displayed. Even if you don’t enter a search term. Of course, this will be solved by adding this feature.
I was about to ask the same feature, missing icon NOT ONLY on filter search but on all filters.
A provissional method will be to paste a svg icon on the placeholder. Not an elegant practice…
A big +1 to this request
+1 on adding icons to the search field