Average Error: 0.0 → 0.0
Time: 9.3s
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 r42803 = x;
        double r42804 = y;
        double r42805 = r42803 - r42804;
        double r42806 = fabs(r42805);
        double r42807 = sqrt(r42806);
        return r42807;
}
↓
double f(double x, double y) {
        double r42808 = x;
        double r42809 = y;
        double r42810 = r42808 - r42809;
        double r42811 = fabs(r42810);
        double r42812 = sqrt(r42811);
        return r42812;
}

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 2019323 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))