Average Error: 0.0 → 0.0
Time: 11.2s
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 r45163 = x;
        double r45164 = y;
        double r45165 = r45163 - r45164;
        double r45166 = fabs(r45165);
        double r45167 = sqrt(r45166);
        return r45167;
}
↓
double f(double x, double y) {
        double r45168 = x;
        double r45169 = y;
        double r45170 = r45168 - r45169;
        double r45171 = fabs(r45170);
        double r45172 = sqrt(r45171);
        return r45172;
}

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 2020043 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))