Average Error: 0.0 → 0.0
Time: 2.5s
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 r1733018 = x;
        double r1733019 = y;
        double r1733020 = r1733018 - r1733019;
        double r1733021 = fabs(r1733020);
        double r1733022 = sqrt(r1733021);
        return r1733022;
}
↓
double f(double x, double y) {
        double r1733023 = x;
        double r1733024 = y;
        double r1733025 = r1733023 - r1733024;
        double r1733026 = fabs(r1733025);
        double r1733027 = sqrt(r1733026);
        return r1733027;
}

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 2019200 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  (sqrt (fabs (- x y))))