Average Error: 0.0 → 0.0
Time: 7.4s
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 r41289 = x;
        double r41290 = y;
        double r41291 = r41289 - r41290;
        double r41292 = fabs(r41291);
        double r41293 = sqrt(r41292);
        return r41293;
}
↓
double f(double x, double y) {
        double r41294 = x;
        double r41295 = y;
        double r41296 = r41294 - r41295;
        double r41297 = fabs(r41296);
        double r41298 = sqrt(r41297);
        return r41298;
}

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 2020042 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))