Average Error: 16.1 → 16.1
Time: 1.1s
Precision: binary64
\[\frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)\]
↓
\[\frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)\]
\frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)
↓
\frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)
double code(double x) {
	return ((double) (((double) (((double) (((double) pow(x, 2.0)) + 1.0)) / x)) - ((double) cos(((double) (1.0 / x))))));
}
↓
double code(double x) {
	return ((double) (((double) (((double) (((double) pow(x, 2.0)) + 1.0)) / x)) - ((double) cos(((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 16.1

    \[\frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)\]

  2. Final simplification16.1

    \[\leadsto \frac{{x}^{2} + 1}{x} - \cos \left(\frac{1}{x}\right)\]

Reproduce

herbie shell --seed 2020152 
(FPCore (x)
  :name "(- (/ (+ (pow x 2) 1) x) (cos (/ 1 x)))"
  :precision binary64
  (- (/ (+ (pow x 2.0) 1.0) x) (cos (/ 1.0 x))))