Average Error: 0.0 → 0.0
Time: 4.6s
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 r30061 = x;
        double r30062 = y;
        double r30063 = r30061 - r30062;
        double r30064 = fabs(r30063);
        double r30065 = sqrt(r30064);
        return r30065;
}
↓
double f(double x, double y) {
        double r30066 = x;
        double r30067 = y;
        double r30068 = r30066 - r30067;
        double r30069 = fabs(r30068);
        double r30070 = sqrt(r30069);
        return r30070;
}

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 2019351 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))