Average Error: 0.0 → 0.0
Time: 2.2s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r48679 = x;
        double r48680 = y;
        double r48681 = r48679 + r48680;
        double r48682 = sqrt(r48681);
        return r48682;
}
↓
double f(double x, double y) {
        double r48683 = x;
        double r48684 = y;
        double r48685 = r48683 + r48684;
        double r48686 = sqrt(r48685);
        return r48686;
}

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

    \[\sqrt{x + y}\]

  2. Final simplification0.0

    \[\leadsto \sqrt{x + y}\]

Reproduce

herbie shell --seed 2020021 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))