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

Average Error: 0.0 → 0.0

Time: 7.4s

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 r43930 = x;
        double r43931 = y;
        double r43932 = r43930 + r43931;
        double r43933 = sqrt(r43932);
        return r43933;
}

↓

double f(double x, double y) {
        double r43934 = x;
        double r43935 = y;
        double r43936 = r43934 + r43935;
        double r43937 = sqrt(r43936);
        return r43937;
}

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 2020045 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))