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 r39693 = x;
        double r39694 = y;
        double r39695 = r39693 - r39694;
        double r39696 = fabs(r39695);
        double r39697 = sqrt(r39696);
        return r39697;
}
↓
double f(double x, double y) {
        double r39698 = x;
        double r39699 = y;
        double r39700 = r39698 - r39699;
        double r39701 = fabs(r39700);
        double r39702 = sqrt(r39701);
        return r39702;
}

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 2020083 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))