Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A

Average Error: 0.0 → 0.0

Time: 4.8s

Precision: 64

• Falling back on racket egraph because egg-herbie package not installed

Math

\[\sqrt{x + y}\]

↓

\[\sqrt{x + y}\]

C

double f(double x, double y) {
        double r47071 = x;
        double r47072 = y;
        double r47073 = r47071 + r47072;
        double r47074 = sqrt(r47073);
        return r47074;
}

↓

double f(double x, double y) {
        double r47075 = x;
        double r47076 = y;
        double r47077 = r47075 + r47076;
        double r47078 = sqrt(r47077);
        return r47078;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.0

   \[\sqrt{x + y}\]

2. Final simplification 0.0

   \[\leadsto \sqrt{x + y}\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))