Average Error: 0.0 → 0.0
Time: 406.0ms
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 r29783 = x;
        double r29784 = y;
        double r29785 = r29783 - r29784;
        double r29786 = fabs(r29785);
        double r29787 = sqrt(r29786);
        return r29787;
}
↓
double f(double x, double y) {
        double r29788 = x;
        double r29789 = y;
        double r29790 = r29788 - r29789;
        double r29791 = fabs(r29790);
        double r29792 = sqrt(r29791);
        return r29792;
}

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 2019352 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))