Average Error: 0.0 → 0.0
Time: 5.0s
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 r35480 = x;
        double r35481 = y;
        double r35482 = r35480 - r35481;
        double r35483 = fabs(r35482);
        double r35484 = sqrt(r35483);
        return r35484;
}
↓
double f(double x, double y) {
        double r35485 = x;
        double r35486 = y;
        double r35487 = r35485 - r35486;
        double r35488 = fabs(r35487);
        double r35489 = sqrt(r35488);
        return r35489;
}

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