Average Error: 0.0 → 0.0
Time: 1.2s
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 r33879 = x;
        double r33880 = y;
        double r33881 = r33879 - r33880;
        double r33882 = fabs(r33881);
        double r33883 = sqrt(r33882);
        return r33883;
}
↓
double f(double x, double y) {
        double r33884 = x;
        double r33885 = y;
        double r33886 = r33884 - r33885;
        double r33887 = fabs(r33886);
        double r33888 = sqrt(r33887);
        return r33888;
}

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 2020033 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))