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 r44453 = x;
        double r44454 = y;
        double r44455 = r44453 - r44454;
        double r44456 = fabs(r44455);
        double r44457 = sqrt(r44456);
        return r44457;
}
↓
double f(double x, double y) {
        double r44458 = x;
        double r44459 = y;
        double r44460 = r44458 - r44459;
        double r44461 = fabs(r44460);
        double r44462 = sqrt(r44461);
        return r44462;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))