Average Error: 0.0 → 0.0
Time: 1.1s
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 r30100 = x;
        double r30101 = y;
        double r30102 = r30100 - r30101;
        double r30103 = fabs(r30102);
        double r30104 = sqrt(r30103);
        return r30104;
}
↓
double f(double x, double y) {
        double r30105 = x;
        double r30106 = y;
        double r30107 = r30105 - r30106;
        double r30108 = fabs(r30107);
        double r30109 = sqrt(r30108);
        return r30109;
}

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 2020036 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))