Average Error: 0.1 → 0.1
Time: 886.0ms
Precision: binary64
\[\sqrt{\frac{1}{x}} - \sqrt{x}\]
↓
\[\sqrt{\frac{1}{x}} - \sqrt{x}\]
\sqrt{\frac{1}{x}} - \sqrt{x}
↓
\sqrt{\frac{1}{x}} - \sqrt{x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 / x)))) - ((double) sqrt(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (1.0 / x)))) - ((double) sqrt(x))));
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.1

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

  2. Final simplification0.1

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

Reproduce

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