Average Error: 0.0 → 0.0
Time: 1.7s
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 r48975 = x;
        double r48976 = y;
        double r48977 = r48975 - r48976;
        double r48978 = fabs(r48977);
        double r48979 = sqrt(r48978);
        return r48979;
}
↓
double f(double x, double y) {
        double r48980 = x;
        double r48981 = y;
        double r48982 = r48980 - r48981;
        double r48983 = fabs(r48982);
        double r48984 = sqrt(r48983);
        return r48984;
}

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 2020065 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))