Average Error: 0.0 → 0.0
Time: 4.3s
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 r40348 = x;
        double r40349 = y;
        double r40350 = r40348 - r40349;
        double r40351 = fabs(r40350);
        double r40352 = sqrt(r40351);
        return r40352;
}
↓
double f(double x, double y) {
        double r40353 = x;
        double r40354 = y;
        double r40355 = r40353 - r40354;
        double r40356 = fabs(r40355);
        double r40357 = sqrt(r40356);
        return r40357;
}

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 2020046 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))