I think “intelligence” is definable as “computation that we don’t understand yet”.

Intelligence, to me, is defined as on the fly problem solving and improving.

Nah, that’s genius.
This is why we struggle so much with a definition of intelligence; it’s a complex, multifactorial thing and everyone understands something different in it.

I think you may mean eidetic

That’s true. I pretty much agree with that assessment of intelligence, a high generalist knowledge along with good problems solving skills; though I have to concede that specialist knowledge or other ways of expressing intelligence are valid as well.