Average Error: 27.2 → 27.2
Time: 1.7s
Precision: binary64
\[\tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)\]
↓
\[\tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)\]
\tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)
↓
\tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)
double code(double x) {
	return ((double) atan(((double) cos(((double) (x / ((double) M_PI)))))));
}
↓
double code(double x) {
	return ((double) atan(((double) cos(((double) (x / ((double) M_PI)))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.2

    \[\tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)\]

  2. Final simplification27.2

    \[\leadsto \tan^{-1} \left(\cos \left(\frac{x}{\pi}\right)\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(atan (cos (/ x PI)))"
  :precision binary64
  (atan (cos (/ x PI))))