Average Error: 0.0 → 0.0
Time: 377.0ms
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 r40825 = x;
        double r40826 = y;
        double r40827 = r40825 - r40826;
        double r40828 = fabs(r40827);
        double r40829 = sqrt(r40828);
        return r40829;
}
↓
double f(double x, double y) {
        double r40830 = x;
        double r40831 = y;
        double r40832 = r40830 - r40831;
        double r40833 = fabs(r40832);
        double r40834 = sqrt(r40833);
        return r40834;
}

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 2020057 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))