Average Error: 0.0 → 0.0
Time: 499.0ms
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 r51042 = x;
        double r51043 = y;
        double r51044 = r51042 - r51043;
        double r51045 = fabs(r51044);
        double r51046 = sqrt(r51045);
        return r51046;
}
↓
double f(double x, double y) {
        double r51047 = x;
        double r51048 = y;
        double r51049 = r51047 - r51048;
        double r51050 = fabs(r51049);
        double r51051 = sqrt(r51050);
        return r51051;
}

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 2020059 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))