Average Error: 0.0 → 0.0
Time: 3.9s
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 r41353 = x;
        double r41354 = y;
        double r41355 = r41353 - r41354;
        double r41356 = fabs(r41355);
        double r41357 = sqrt(r41356);
        return r41357;
}
↓
double f(double x, double y) {
        double r41358 = x;
        double r41359 = y;
        double r41360 = r41358 - r41359;
        double r41361 = fabs(r41360);
        double r41362 = sqrt(r41361);
        return r41362;
}

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))))