Average Error: 0.0 → 0.0
Time: 7.2s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r26063 = x;
        double r26064 = y;
        double r26065 = r26063 + r26064;
        double r26066 = sqrt(r26065);
        return r26066;
}
↓
double f(double x, double y) {
        double r26067 = x;
        double r26068 = y;
        double r26069 = r26067 + r26068;
        double r26070 = sqrt(r26069);
        return r26070;
}

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 2019306 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))