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 r33293 = x;
        double r33294 = y;
        double r33295 = r33293 - r33294;
        double r33296 = fabs(r33295);
        double r33297 = sqrt(r33296);
        return r33297;
}
↓
double f(double x, double y) {
        double r33298 = x;
        double r33299 = y;
        double r33300 = r33298 - r33299;
        double r33301 = fabs(r33300);
        double r33302 = sqrt(r33301);
        return r33302;
}

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 2019212 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))