Average Error: 0.0 → 0.0
Time: 815.0ms
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r25188 = x;
        double r25189 = y;
        double r25190 = r25188 + r25189;
        double r25191 = sqrt(r25190);
        return r25191;
}
↓
double f(double x, double y) {
        double r25192 = x;
        double r25193 = y;
        double r25194 = r25192 + r25193;
        double r25195 = sqrt(r25194);
        return r25195;
}

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 2020060 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))