Average Error: 0.0 → 0.0
Time: 582.0ms
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 r28634 = x;
        double r28635 = y;
        double r28636 = r28634 - r28635;
        double r28637 = fabs(r28636);
        double r28638 = sqrt(r28637);
        return r28638;
}
↓
double f(double x, double y) {
        double r28639 = x;
        double r28640 = y;
        double r28641 = r28639 - r28640;
        double r28642 = fabs(r28641);
        double r28643 = sqrt(r28642);
        return r28643;
}

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 2020089 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))