Average Error: 0.0 → 0.0
Time: 14.6s
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 r27967 = x;
        double r27968 = y;
        double r27969 = r27967 - r27968;
        double r27970 = fabs(r27969);
        double r27971 = sqrt(r27970);
        return r27971;
}
↓
double f(double x, double y) {
        double r27972 = x;
        double r27973 = y;
        double r27974 = r27972 - r27973;
        double r27975 = fabs(r27974);
        double r27976 = sqrt(r27975);
        return r27976;
}

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 2019326 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))