beat your brains out

US /biːt jʊər breɪnz aʊt/
UK /biːt jʊər breɪnz aʊt/
"beat your brains out" picture
1.

to think very hard about a problem or question, often without success

:
I've been beating my brains out trying to solve this puzzle all day.
Don't beat your brains out over it; let's just ask for help.