Average Error: 27.3 → 27.3
Time: 1.3s
Precision: binary64
\[\cos \left(\frac{x \cdot \pi}{2}\right)\]
↓
\[\cos \left(\frac{x \cdot \pi}{2}\right)\]
\cos \left(\frac{x \cdot \pi}{2}\right)
↓
\cos \left(\frac{x \cdot \pi}{2}\right)
double code(double x) {
	return ((double) cos(((double) (((double) (x * ((double) M_PI))) / 2.0))));
}
↓
double code(double x) {
	return ((double) cos(((double) (((double) (x * ((double) M_PI))) / 2.0))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 27.3

    \[\cos \left(\frac{x \cdot \pi}{2}\right)\]

  2. Final simplification27.3

    \[\leadsto \cos \left(\frac{x \cdot \pi}{2}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(cos (/ (* x PI) 2))"
  :precision binary64
  (cos (/ (* x PI) 2.0)))