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

Average Error: 0.0 → 0.0

Time: 5.4s

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 r45191 = x;
        double r45192 = y;
        double r45193 = r45191 + r45192;
        double r45194 = sqrt(r45193);
        return r45194;
}

↓

double f(double x, double y) {
        double r45195 = x;
        double r45196 = y;
        double r45197 = r45195 + r45196;
        double r45198 = sqrt(r45197);
        return r45198;
}

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)))