Average Error: 0.0 → 0.0
Time: 11.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r51935 = x;
        double r51936 = y;
        double r51937 = r51935 + r51936;
        double r51938 = sqrt(r51937);
        return r51938;
}
↓
double f(double x, double y) {
        double r51939 = x;
        double r51940 = y;
        double r51941 = r51939 + r51940;
        double r51942 = sqrt(r51941);
        return r51942;
}

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 2019325 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))