Average Error: 0.0 → 0.0
Time: 2.3s
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 r27429 = x;
        double r27430 = y;
        double r27431 = r27429 - r27430;
        double r27432 = fabs(r27431);
        double r27433 = sqrt(r27432);
        return r27433;
}
↓
double f(double x, double y) {
        double r27434 = x;
        double r27435 = y;
        double r27436 = r27434 - r27435;
        double r27437 = fabs(r27436);
        double r27438 = sqrt(r27437);
        return r27438;
}

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 2020056 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))