I relate to the OP on a fundamental level although the literal expression would be different for me. I do not think it has any relation to speed. It is not a

I relate to the OP on a fundamental level although the literal expression would be different for me. I do not think it has any relation to speed. It is not a deliberate step. It would be slower to mimic this behavior, but if you have it by default it's just kind of there. Certain calculations are actually faster because i begin to have faith in my feeling of the math over doing an actual calculation - with the same type of confidence i have when recalling a times table for example. Still, it usually doesnt get me all the way to an answer There are certain mathematical rules that you can probably identify that are related to my internal expressions and how they "fit" together. For example, I do not know without calculating what "25 x 15" is, but I have an idea of what the answer feels like. anything below 100 or over 1000 feels outright OCD level out-of-place. Numbers like 114, 201, etc, feel dirty and incomplete. we can identify in this scenario that the shape / feeling of the answer for me is related to an intuition for the mathematical principle that the product of two numbers that are divisible by 5 is also divisible by 5 - but at no point did I deliberately evoke that rule when conceiving of a possible answer. Also this is a simple example, this intuition runs beyond my knowledge and ability to formally explain the principles. In reality, many such principles (learned or inferred) come together at once to feed my internal expression of the answer. A calculator says 375 is the answer, though 325 and 475 feel about the same I do not think it makes me better at getting correct answers, but it does help me accept an answer as being correct when looking at it also feels right. It's most useful when identifying errors. There is a big help when you see "15 x 25 = 356" and without thinking you can feel internally like something is out of place, dirty, needs attention (this applies to advanced topics as well). As I said above though, more than the correct answer can have the same or similar feeling - so it is prone to false negatives With something like math, intuition based guess work that has room for false negatives is hardly that useful overall. So maybe the only real edge it can provide is in working with novel concepts where you have to guess a direction to explore and hope you uncover something useful. That is an unfounded hypothesis though.