Average Error: 0.0 → 0.0
Time: 1.3s
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 r23260 = x;
        double r23261 = y;
        double r23262 = r23260 - r23261;
        double r23263 = fabs(r23262);
        double r23264 = sqrt(r23263);
        return r23264;
}
↓
double f(double x, double y) {
        double r23265 = x;
        double r23266 = y;
        double r23267 = r23265 - r23266;
        double r23268 = fabs(r23267);
        double r23269 = sqrt(r23268);
        return r23269;
}

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 2020036 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))