Average Error: 0.0 → 0.0
Time: 2.1s
Precision: 64
\[\sqrt{x + y}\]
↓
\[\sqrt{x + y}\]
\sqrt{x + y}
↓
\sqrt{x + y}
double f(double x, double y) {
        double r62085 = x;
        double r62086 = y;
        double r62087 = r62085 + r62086;
        double r62088 = sqrt(r62087);
        return r62088;
}
↓
double f(double x, double y) {
        double r62089 = x;
        double r62090 = y;
        double r62091 = r62089 + r62090;
        double r62092 = sqrt(r62091);
        return r62092;
}

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 2020035 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))