There really aren't complex math functions in most SIMD ISAs(1), these functions are implemented in software instead. Even for scalar operations, no one(2) uses

There really aren't complex math functions in most SIMD ISAs(1), these functions are implemented in software instead. Even for scalar operations, no one(2) uses the x87 trig functions either, as software implementations are both faster and more accurate and have been for a couple decades. (1) various HPC folks have proposed and used extensions that do _part_ of a complex math operation in SIMD at various times, and on GPUs this sort of thing is very common. (2) except for math libraries that haven't been updated for a couple decades.