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 r34177 = x;
        double r34178 = y;
        double r34179 = r34177 - r34178;
        double r34180 = fabs(r34179);
        double r34181 = sqrt(r34180);
        return r34181;
}
↓
double f(double x, double y) {
        double r34182 = x;
        double r34183 = y;
        double r34184 = r34182 - r34183;
        double r34185 = fabs(r34184);
        double r34186 = sqrt(r34185);
        return r34186;
}

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 2020003 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))