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 r42747 = x;
        double r42748 = y;
        double r42749 = r42747 - r42748;
        double r42750 = fabs(r42749);
        double r42751 = sqrt(r42750);
        return r42751;
}
↓
double f(double x, double y) {
        double r42752 = x;
        double r42753 = y;
        double r42754 = r42752 - r42753;
        double r42755 = fabs(r42754);
        double r42756 = sqrt(r42755);
        return r42756;
}

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