Average Error: 0.0 → 0.0
Time: 1.2s
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 r36108 = x;
        double r36109 = y;
        double r36110 = r36108 - r36109;
        double r36111 = fabs(r36110);
        double r36112 = sqrt(r36111);
        return r36112;
}
↓
double f(double x, double y) {
        double r36113 = x;
        double r36114 = y;
        double r36115 = r36113 - r36114;
        double r36116 = fabs(r36115);
        double r36117 = sqrt(r36116);
        return r36117;
}

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 2020083 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))