Contrarian waypoint: beware of not-fast-math. Making things like atan2f and sqrtf set errno takes you down a very slow path, costing you significant perf in cases where you likely do not want it. And most math will work fine with fast-math, if you are careful how you write it. (Free online numerical methods classes are available, eg [1]) Without fast-math most compilers cannot even use FMA instructions (costing you up to 2x in cases where they could be used otherwise) since they cannot prove it will produce the same result - FMA will actually likely produce a more accurate result, but your compiler is handicapped by lack of fast-math to offer it to you.
[1] https://ocw.mit.edu/courses/mathematics/18-335j-introduction...