Average Error: 0.0 → 0.0
Time: 2.0s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r32245 = x;
        double r32246 = y;
        double r32247 = r32245 + r32246;
        double r32248 = sqrt(r32247);
        return r32248;
}
↓
double f(double x, double y) {
        double r32249 = x;
        double r32250 = y;
        double r32251 = r32249 + r32250;
        double r32252 = sqrt(r32251);
        return r32252;
}

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