Average Error: 47.1 → 47.1
Time: 3.3s
Precision: binary64
\[\sqrt{x - y} - \sqrt{x - y \cdot y}\]
↓
\[\sqrt{x - y} - \sqrt{x - y \cdot y}\]
\sqrt{x - y} - \sqrt{x - y \cdot y}
↓
\sqrt{x - y} - \sqrt{x - y \cdot y}
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x - y)))) - ((double) sqrt(((double) (x - ((double) (y * y))))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x - y)))) - ((double) sqrt(((double) (x - ((double) (y * y))))))));
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 47.1

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

  2. Final simplification47.1

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

Reproduce

herbie shell --seed 2020152 
(FPCore (x y)
  :name "(- (sqrt (- x y)) (sqrt (- x (* y y))))"
  :precision binary64
  (- (sqrt (- x y)) (sqrt (- x (* y y)))))