Average Error: 15.6 → 15.6
Time: 4.1s
Precision: binary64
\[\cos^{-1} \left(\cos x \cdot \cos y\right)\]
↓
\[\cos^{-1} \left(\cos x \cdot \cos y\right)\]
\cos^{-1} \left(\cos x \cdot \cos y\right)
↓
\cos^{-1} \left(\cos x \cdot \cos y\right)
double code(double x, double y) {
	return ((double) acos(((double) (((double) cos(x)) * ((double) cos(y))))));
}
↓
double code(double x, double y) {
	return ((double) acos(((double) (((double) cos(x)) * ((double) cos(y))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 15.6

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

  2. Final simplification15.6

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

Reproduce

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