Average Error: 55.2 → 55.2
Time: 5.4s
Precision: binary64
\[\cos x - \cos \left(x + \frac{1}{x}\right)\]
↓
\[\cos x - \cos \left(x + \frac{1}{x}\right)\]
\cos x - \cos \left(x + \frac{1}{x}\right)
↓
\cos x - \cos \left(x + \frac{1}{x}\right)
double code(double x) {
	return ((double) (((double) cos(x)) - ((double) cos(((double) (x + ((double) (1.0 / x))))))));
}
↓
double code(double x) {
	return ((double) (((double) cos(x)) - ((double) cos(((double) (x + ((double) (1.0 / x))))))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 55.2

    \[\cos x - \cos \left(x + \frac{1}{x}\right)\]

  2. Final simplification55.2

    \[\leadsto \cos x - \cos \left(x + \frac{1}{x}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (cos x) (cos (+ x (/ 1 x))))"
  :precision binary64
  (- (cos x) (cos (+ x (/ 1.0 x)))))