Average Error: 0.0 → 0.0
Time: 991.0ms
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 r27874 = x;
        double r27875 = y;
        double r27876 = r27874 - r27875;
        double r27877 = fabs(r27876);
        double r27878 = sqrt(r27877);
        return r27878;
}
↓
double f(double x, double y) {
        double r27879 = x;
        double r27880 = y;
        double r27881 = r27879 - r27880;
        double r27882 = fabs(r27881);
        double r27883 = sqrt(r27882);
        return r27883;
}

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 2020047 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))