Average Error: 0.0 → 0.0
Time: 379.0ms
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 r23853 = x;
        double r23854 = y;
        double r23855 = r23853 - r23854;
        double r23856 = fabs(r23855);
        double r23857 = sqrt(r23856);
        return r23857;
}
↓
double f(double x, double y) {
        double r23858 = x;
        double r23859 = y;
        double r23860 = r23858 - r23859;
        double r23861 = fabs(r23860);
        double r23862 = sqrt(r23861);
        return r23862;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))