Average Error: 0.0 → 0.0
Time: 381.0ms
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 r33834 = x;
        double r33835 = y;
        double r33836 = r33834 - r33835;
        double r33837 = fabs(r33836);
        double r33838 = sqrt(r33837);
        return r33838;
}
↓
double f(double x, double y) {
        double r33839 = x;
        double r33840 = y;
        double r33841 = r33839 - r33840;
        double r33842 = fabs(r33841);
        double r33843 = sqrt(r33842);
        return r33843;
}

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 2020057 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))