Average Error: 0.1 → 0.1
Time: 1.9s
Precision: binary64
\[\sqrt{x} - \frac{1}{{\left(\sqrt{{x}^{2}}\right)}^{2}}\]
↓
\[\sqrt{x} - \frac{1}{{\left(\sqrt{{x}^{2}}\right)}^{2}}\]
\sqrt{x} - \frac{1}{{\left(\sqrt{{x}^{2}}\right)}^{2}}
↓
\sqrt{x} - \frac{1}{{\left(\sqrt{{x}^{2}}\right)}^{2}}
double code(double x) {
	return ((double) (((double) sqrt(x)) - ((double) (1.0 / ((double) pow(((double) sqrt(((double) pow(x, 2.0)))), 2.0))))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(x)) - ((double) (1.0 / ((double) pow(((double) sqrt(((double) pow(x, 2.0)))), 2.0))))));
}

Error

Bits error versus x

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Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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