Average Error: 0.0 → 0.0
Time: 1.0s
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 r42242 = x;
        double r42243 = y;
        double r42244 = r42242 - r42243;
        double r42245 = fabs(r42244);
        double r42246 = sqrt(r42245);
        return r42246;
}
↓
double f(double x, double y) {
        double r42247 = x;
        double r42248 = y;
        double r42249 = r42247 - r42248;
        double r42250 = fabs(r42249);
        double r42251 = sqrt(r42250);
        return r42251;
}

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 2020034 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))