Average Error: 0.0 → 0.0
Time: 6.6s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r64223 = x;
        double r64224 = y;
        double r64225 = r64223 + r64224;
        double r64226 = sqrt(r64225);
        return r64226;
}
↓
double f(double x, double y) {
        double r64227 = x;
        double r64228 = y;
        double r64229 = r64227 + r64228;
        double r64230 = sqrt(r64229);
        return r64230;
}

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 2020047 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))