Average Error: 0.0 → 0.0
Time: 6.7s
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 r11240 = x;
        double r11241 = y;
        double r11242 = r11240 - r11241;
        double r11243 = fabs(r11242);
        double r11244 = sqrt(r11243);
        return r11244;
}
↓
double f(double x, double y) {
        double r11245 = x;
        double r11246 = y;
        double r11247 = r11245 - r11246;
        double r11248 = fabs(r11247);
        double r11249 = sqrt(r11248);
        return r11249;
}

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 2019310 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))