Average Error: 0.0 → 0.0
Time: 5.4s
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 r59406 = x;
        double r59407 = y;
        double r59408 = r59406 - r59407;
        double r59409 = fabs(r59408);
        double r59410 = sqrt(r59409);
        return r59410;
}
↓
double f(double x, double y) {
        double r59411 = x;
        double r59412 = y;
        double r59413 = r59411 - r59412;
        double r59414 = fabs(r59413);
        double r59415 = sqrt(r59414);
        return r59415;
}

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 2020047 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))