Average Error: 0.0 → 0.0
Time: 7.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r39989 = x;
        double r39990 = y;
        double r39991 = r39989 + r39990;
        double r39992 = sqrt(r39991);
        return r39992;
}
↓
double f(double x, double y) {
        double r39993 = x;
        double r39994 = y;
        double r39995 = r39993 + r39994;
        double r39996 = sqrt(r39995);
        return r39996;
}

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 2020045 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))