Average Error: 0.0 → 0.0
Time: 4.7s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r50949 = x;
        double r50950 = y;
        double r50951 = r50949 + r50950;
        double r50952 = sqrt(r50951);
        return r50952;
}
↓
double f(double x, double y) {
        double r50953 = x;
        double r50954 = y;
        double r50955 = r50953 + r50954;
        double r50956 = sqrt(r50955);
        return r50956;
}

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 2019297 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))