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

Average Error: 0.0 → 0.0

Time: 553.0ms

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 r27567 = x;
        double r27568 = y;
        double r27569 = r27567 + r27568;
        double r27570 = sqrt(r27569);
        return r27570;
}

↓

double f(double x, double y) {
        double r27571 = x;
        double r27572 = y;
        double r27573 = r27571 + r27572;
        double r27574 = sqrt(r27573);
        return r27574;
}

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 2020042 +o rules:numerics
(FPCore (x y)
  :name "Optimisation.CirclePacking:place from circle-packing-0.1.0.4, A"
  :precision binary64
  (sqrt (+ x y)))