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 r43172 = x;
        double r43173 = y;
        double r43174 = r43172 - r43173;
        double r43175 = fabs(r43174);
        double r43176 = sqrt(r43175);
        return r43176;
}
↓
double f(double x, double y) {
        double r43177 = x;
        double r43178 = y;
        double r43179 = r43177 - r43178;
        double r43180 = fabs(r43179);
        double r43181 = sqrt(r43180);
        return r43181;
}

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 2020025 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))