Average Error: 0.0 → 0.0
Time: 1.1s
Precision: binary64
\[\sqrt{x - y} + \frac{1}{x - y}\]
↓
\[\sqrt{x - y} + \frac{1}{x - y}\]
\sqrt{x - y} + \frac{1}{x - y}
↓
\sqrt{x - y} + \frac{1}{x - y}
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x - y)))) + ((double) (1.0 / ((double) (x - y))))));
}
↓
double code(double x, double y) {
	return ((double) (((double) sqrt(((double) (x - y)))) + ((double) (1.0 / ((double) (x - 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 0.0

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

  2. Final simplification0.0

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

Reproduce

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