Average Error: 0.0 → 0.0
Time: 4.4s
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 r41850 = x;
        double r41851 = y;
        double r41852 = r41850 - r41851;
        double r41853 = fabs(r41852);
        double r41854 = sqrt(r41853);
        return r41854;
}
↓
double f(double x, double y) {
        double r41855 = x;
        double r41856 = y;
        double r41857 = r41855 - r41856;
        double r41858 = fabs(r41857);
        double r41859 = sqrt(r41858);
        return r41859;
}

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 2019208 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))