Average Error: 0.0 → 0.0
Time: 9.4s
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 r42823 = x;
        double r42824 = y;
        double r42825 = r42823 - r42824;
        double r42826 = fabs(r42825);
        double r42827 = sqrt(r42826);
        return r42827;
}
↓
double f(double x, double y) {
        double r42828 = x;
        double r42829 = y;
        double r42830 = r42828 - r42829;
        double r42831 = fabs(r42830);
        double r42832 = sqrt(r42831);
        return r42832;
}

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))))