Average Error: 0.0 → 0.0
Time: 1.1s
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 r43786 = x;
        double r43787 = y;
        double r43788 = r43786 - r43787;
        double r43789 = fabs(r43788);
        double r43790 = sqrt(r43789);
        return r43790;
}
↓
double f(double x, double y) {
        double r43791 = x;
        double r43792 = y;
        double r43793 = r43791 - r43792;
        double r43794 = fabs(r43793);
        double r43795 = sqrt(r43794);
        return r43795;
}

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 2020024 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))