Average Error: 15.3 → 15.3
Time: 1.4s
Precision: binary64
\[\sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}\]
↓
\[\sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}\]
\sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}
↓
\sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}
double code(double x) {
	return ((double) (((double) sqrt(x)) - ((double) (1.0 / ((double) sqrt(((double) pow(x, 2.0))))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(x)) - ((double) (1.0 / ((double) sqrt(((double) pow(x, 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 15.3

    \[\sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}\]

  2. Final simplification15.3

    \[\leadsto \sqrt{x} - \frac{1}{\sqrt{{x}^{2}}}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt x) (/ 1 (sqrt (pow x 2))))"
  :precision binary64
  (- (sqrt x) (/ 1.0 (sqrt (pow x 2.0)))))