Average Error: 0.0 → 0.0
Time: 1.1s
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 r38804 = x;
        double r38805 = y;
        double r38806 = r38804 - r38805;
        double r38807 = fabs(r38806);
        double r38808 = sqrt(r38807);
        return r38808;
}
↓
double f(double x, double y) {
        double r38809 = x;
        double r38810 = y;
        double r38811 = r38809 - r38810;
        double r38812 = fabs(r38811);
        double r38813 = sqrt(r38812);
        return r38813;
}

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 2020024 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))