Average Error: 0.0 → 0.0
Time: 2.9s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r50171 = x;
        double r50172 = y;
        double r50173 = r50171 + r50172;
        double r50174 = sqrt(r50173);
        return r50174;
}
↓
double f(double x, double y) {
        double r50175 = x;
        double r50176 = y;
        double r50177 = r50175 + r50176;
        double r50178 = sqrt(r50177);
        return r50178;
}

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 2020049 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))