Average Error: 0.0 → 0.0
Time: 7.5s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r32084 = x;
        double r32085 = y;
        double r32086 = r32084 + r32085;
        double r32087 = sqrt(r32086);
        return r32087;
}
↓
double f(double x, double y) {
        double r32088 = x;
        double r32089 = y;
        double r32090 = r32088 + r32089;
        double r32091 = sqrt(r32090);
        return r32091;
}

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 2019303 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))