Average Error: 0.0 → 0.0
Time: 2.8s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r61152 = x;
        double r61153 = y;
        double r61154 = r61152 + r61153;
        double r61155 = sqrt(r61154);
        return r61155;
}
↓
double f(double x, double y) {
        double r61156 = x;
        double r61157 = y;
        double r61158 = r61156 + r61157;
        double r61159 = sqrt(r61158);
        return r61159;
}

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 1978988140 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))