Average Error: 0.0 → 0.0
Time: 1.0s
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 r30727 = x;
        double r30728 = y;
        double r30729 = r30727 - r30728;
        double r30730 = fabs(r30729);
        double r30731 = sqrt(r30730);
        return r30731;
}
↓
double f(double x, double y) {
        double r30732 = x;
        double r30733 = y;
        double r30734 = r30732 - r30733;
        double r30735 = fabs(r30734);
        double r30736 = sqrt(r30735);
        return r30736;
}

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 2020002 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))