Average Error: 0.0 → 0.0
Time: 3.4s
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 r33158 = x;
        double r33159 = y;
        double r33160 = r33158 - r33159;
        double r33161 = fabs(r33160);
        double r33162 = sqrt(r33161);
        return r33162;
}
↓
double f(double x, double y) {
        double r33163 = x;
        double r33164 = y;
        double r33165 = r33163 - r33164;
        double r33166 = fabs(r33165);
        double r33167 = sqrt(r33166);
        return r33167;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))