Average Error: 0.0 → 0.0
Time: 6.3s
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 r49945 = x;
        double r49946 = y;
        double r49947 = r49945 - r49946;
        double r49948 = fabs(r49947);
        double r49949 = sqrt(r49948);
        return r49949;
}
↓
double f(double x, double y) {
        double r49950 = x;
        double r49951 = y;
        double r49952 = r49950 - r49951;
        double r49953 = fabs(r49952);
        double r49954 = sqrt(r49953);
        return r49954;
}

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 2019305 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))