Average Error: 0.0 → 0.0
Time: 1.9s
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 r235 = x;
        double r236 = y;
        double r237 = r235 - r236;
        double r238 = fabs(r237);
        double r239 = sqrt(r238);
        return r239;
}
↓
double f(double x, double y) {
        double r240 = x;
        double r241 = y;
        double r242 = r240 - r241;
        double r243 = fabs(r242);
        double r244 = sqrt(r243);
        return r244;
}

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 2020025 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))