Average Error: 0.0 → 0.0
Time: 455.0ms
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 r24467 = x;
        double r24468 = y;
        double r24469 = r24467 - r24468;
        double r24470 = fabs(r24469);
        double r24471 = sqrt(r24470);
        return r24471;
}
↓
double f(double x, double y) {
        double r24472 = x;
        double r24473 = y;
        double r24474 = r24472 - r24473;
        double r24475 = fabs(r24474);
        double r24476 = sqrt(r24475);
        return r24476;
}

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 2020081 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))