Not going to criticize you, I think it's a cool math problem, but I've experienced people throwing problems like this at me at job interviews in the past so it

Not going to criticize you, I think it's a cool math problem, but I've experienced people throwing problems like this at me at job interviews in the past so it echoed. And in those cases, they weren't looking for an answer, they were looking for the answer they knew about and no other answer would do. I once ended an interview early over one of these questions. I am relentlessly production focused but that doesn't mean I don't like math. But by the time you get to FP64 with this thing, the probability of finding a fail case seems insanely low and in fact for the most part you can provably bound the error of the sum and therefore likely prove you have found the solution. Anything beyond that is a corner case as the mathematicians love to say. And now I see the criticisms coming.