Average Error: 27.3 → 27.3
Time: 2.1s
Precision: binary64
\[\cos \left(n \cdot \cos^{-1} x\right)\]
↓
\[\cos \left(n \cdot \cos^{-1} x\right)\]
\cos \left(n \cdot \cos^{-1} x\right)
↓
\cos \left(n \cdot \cos^{-1} x\right)
double code(double n, double x) {
	return ((double) cos(((double) (n * ((double) acos(x))))));
}
↓
double code(double n, double x) {
	return ((double) cos(((double) (n * ((double) acos(x))))));
}

Error

Bits error versus n

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.3

    \[\cos \left(n \cdot \cos^{-1} x\right)\]

  2. Final simplification27.3

    \[\leadsto \cos \left(n \cdot \cos^{-1} x\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (n x)
  :name "(cos (* n (acos x)))"
  :precision binary64
  (cos (* n (acos x))))