Average Error: 0.0 → 0.0
Time: 3.4s
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 r33754 = x;
        double r33755 = y;
        double r33756 = r33754 - r33755;
        double r33757 = fabs(r33756);
        double r33758 = sqrt(r33757);
        return r33758;
}
↓
double f(double x, double y) {
        double r33759 = x;
        double r33760 = y;
        double r33761 = r33759 - r33760;
        double r33762 = fabs(r33761);
        double r33763 = sqrt(r33762);
        return r33763;
}

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))