Average Error: 0.0 → 0.0
Time: 1.1s
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 r37019 = x;
        double r37020 = y;
        double r37021 = r37019 - r37020;
        double r37022 = fabs(r37021);
        double r37023 = sqrt(r37022);
        return r37023;
}
↓
double f(double x, double y) {
        double r37024 = x;
        double r37025 = y;
        double r37026 = r37024 - r37025;
        double r37027 = fabs(r37026);
        double r37028 = sqrt(r37027);
        return r37028;
}

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 2020039 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, C"
  :precision binary64
  (sqrt (fabs (- x y))))