Average Error: 0.0 → 0.0
Time: 6.3s
Precision: 64
\[\sqrt{\left|x - y\right|}\]
↓
\[\sqrt{\left|x - y\right|}\]
\sqrt{\left|x - y\right|}
↓
\sqrt{\left|x - y\right|}
double f(double x, double y) {
        double r11578 = x;
        double r11579 = y;
        double r11580 = r11578 - r11579;
        double r11581 = fabs(r11580);
        double r11582 = sqrt(r11581);
        return r11582;
}
↓
double f(double x, double y) {
        double r11583 = x;
        double r11584 = y;
        double r11585 = r11583 - r11584;
        double r11586 = fabs(r11585);
        double r11587 = sqrt(r11586);
        return r11587;
}

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

    \[\sqrt{\left|x - y\right|}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{\left|x - y\right|}\]

Reproduce

herbie shell --seed 2019310 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))