Thank you! I completely agree with this, floats are treated as a lot more magical than they actually are. I myself often rely on their exact guarantees for fun

Thank you! I completely agree with this, floats are treated as a lot more magical than they actually are. I myself often rely on their exact guarantees for fun tricks (e.g. fast precise int<->float conversion: https://purplesyringa.moe/blog/fast-limited-range-conversion-between-ints-and-floats/ https://purplesyringa.moe/blog/fast-limited-range-conversion...). But while IEEE-754 is very precise, some subtleties arise when you add library functions to the mix -- many libm's and userland libraries don't guarantee 0.5 ulp precision for certain operations and don't document the guaranteed precision either, at which point you're left guessing and saying "well, I guess I should treat floats as magic in this case after all". I added "it's not imprecision" to step around this whole question.