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

Average Error: 0.0 → 0.0

Time: 8.1s

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 r34067 = x;
        double r34068 = y;
        double r34069 = r34067 + r34068;
        double r34070 = sqrt(r34069);
        return r34070;
}

↓

double f(double x, double y) {
        double r34071 = x;
        double r34072 = y;
        double r34073 = r34071 + r34072;
        double r34074 = sqrt(r34073);
        return r34074;
}

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 2020043 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))