Average Error: 30.7 → 30.7
Time: 1.9s
Precision: binary64
\[\cos x - \cos \left(x + \frac{\pi}{2}\right)\]
↓
\[\cos x - \cos \left(x + \frac{\pi}{2}\right)\]
\cos x - \cos \left(x + \frac{\pi}{2}\right)
↓
\cos x - \cos \left(x + \frac{\pi}{2}\right)
double code(double x) {
	return ((double) (((double) cos(x)) - ((double) cos(((double) (x + ((double) (((double) M_PI) / 2.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) cos(x)) - ((double) cos(((double) (x + ((double) (((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 30.7

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

  2. Final simplification30.7

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

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (cos x) (cos (+ x (/ PI 2))))"
  :precision binary64
  (- (cos x) (cos (+ x (/ PI 2.0)))))