Average Error: 0.0 → 0.0
Time: 1.9s
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 r56076 = x;
        double r56077 = y;
        double r56078 = r56076 - r56077;
        double r56079 = fabs(r56078);
        double r56080 = sqrt(r56079);
        return r56080;
}
↓
double f(double x, double y) {
        double r56081 = x;
        double r56082 = y;
        double r56083 = r56081 - r56082;
        double r56084 = fabs(r56083);
        double r56085 = sqrt(r56084);
        return r56085;
}

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 2020035 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))