Average Error: 0.0 → 0.0
Time: 1.4s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r41047 = x;
        double r41048 = y;
        double r41049 = r41047 + r41048;
        double r41050 = sqrt(r41049);
        return r41050;
}
↓
double f(double x, double y) {
        double r41051 = x;
        double r41052 = y;
        double r41053 = r41051 + r41052;
        double r41054 = sqrt(r41053);
        return r41054;
}

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 2020036 
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))