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 r27349 = x;
        double r27350 = y;
        double r27351 = r27349 - r27350;
        double r27352 = fabs(r27351);
        double r27353 = sqrt(r27352);
        return r27353;
}
↓
double f(double x, double y) {
        double r27354 = x;
        double r27355 = y;
        double r27356 = r27354 - r27355;
        double r27357 = fabs(r27356);
        double r27358 = sqrt(r27357);
        return r27358;
}

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