Average Error: 0.0 → 0.0
Time: 1.3s
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 r30858 = x;
        double r30859 = y;
        double r30860 = r30858 - r30859;
        double r30861 = fabs(r30860);
        double r30862 = sqrt(r30861);
        return r30862;
}
↓
double f(double x, double y) {
        double r30863 = x;
        double r30864 = y;
        double r30865 = r30863 - r30864;
        double r30866 = fabs(r30865);
        double r30867 = sqrt(r30866);
        return r30867;
}

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 2020036 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))