Average Error: 0.9 → 0.9
Time: 856.0ms
Precision: binary64
\[\sqrt{2 \cdot x} - \sqrt{x}\]
↓
\[\sqrt{2 \cdot x} - \sqrt{x}\]
\sqrt{2 \cdot x} - \sqrt{x}
↓
\sqrt{2 \cdot x} - \sqrt{x}
double code(double x) {
	return ((double) (((double) sqrt(((double) (2.0 * x)))) - ((double) sqrt(x))));
}
↓
double code(double x) {
	return ((double) (((double) sqrt(((double) (2.0 * 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 0.9

    \[\sqrt{2 \cdot x} - \sqrt{x}\]

  2. Final simplification0.9

    \[\leadsto \sqrt{2 \cdot x} - \sqrt{x}\]

Reproduce

herbie shell --seed 2020153 
(FPCore (x)
  :name "(- (sqrt (* 2 x)) (sqrt x))"
  :precision binary64
  (- (sqrt (* 2.0 x)) (sqrt x)))