Average Error: 0.0 → 0.0
Time: 3.6s
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 r25302 = x;
        double r25303 = y;
        double r25304 = r25302 - r25303;
        double r25305 = fabs(r25304);
        double r25306 = sqrt(r25305);
        return r25306;
}
↓
double f(double x, double y) {
        double r25307 = x;
        double r25308 = y;
        double r25309 = r25307 - r25308;
        double r25310 = fabs(r25309);
        double r25311 = sqrt(r25310);
        return r25311;
}

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))