Average Error: 0.0 → 0.0
Time: 707.0ms
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 r28018 = x;
        double r28019 = y;
        double r28020 = r28018 - r28019;
        double r28021 = fabs(r28020);
        double r28022 = sqrt(r28021);
        return r28022;
}
↓
double f(double x, double y) {
        double r28023 = x;
        double r28024 = y;
        double r28025 = r28023 - r28024;
        double r28026 = fabs(r28025);
        double r28027 = sqrt(r28026);
        return r28027;
}

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