Average Error: 0.0 → 0.0
Time: 9.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r53174 = x;
        double r53175 = y;
        double r53176 = r53174 + r53175;
        double r53177 = sqrt(r53176);
        return r53177;
}
↓
double f(double x, double y) {
        double r53178 = x;
        double r53179 = y;
        double r53180 = r53178 + r53179;
        double r53181 = sqrt(r53180);
        return r53181;
}

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 2019323 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))