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 r39796 = x;
        double r39797 = y;
        double r39798 = r39796 - r39797;
        double r39799 = fabs(r39798);
        double r39800 = sqrt(r39799);
        return r39800;
}
↓
double f(double x, double y) {
        double r39801 = x;
        double r39802 = y;
        double r39803 = r39801 - r39802;
        double r39804 = fabs(r39803);
        double r39805 = sqrt(r39804);
        return r39805;
}

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 2019346 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))