Average Error: 0.0 → 0.0
Time: 888.0ms
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r30030 = x;
        double r30031 = y;
        double r30032 = r30030 + r30031;
        double r30033 = sqrt(r30032);
        return r30033;
}
↓
double f(double x, double y) {
        double r30034 = x;
        double r30035 = y;
        double r30036 = r30034 + r30035;
        double r30037 = sqrt(r30036);
        return r30037;
}

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 2019362 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))