Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 13.0s

Precision: 64

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

Math

\[\left(x \cdot y\right) \cdot y\]

↓

\[\left(x \cdot y\right) \cdot y\]

C

double f(double x, double y) {
        double r194896 = x;
        double r194897 = y;
        double r194898 = r194896 * r194897;
        double r194899 = r194898 * r194897;
        return r194899;
}

↓

double f(double x, double y) {
        double r194900 = x;
        double r194901 = y;
        double r194902 = r194900 * r194901;
        double r194903 = r194902 * r194901;
        return r194903;
}

Error

Bits error versus x

Bits error versus y

Derivation

1. Initial program 0.2

   \[\left(x \cdot y\right) \cdot y\]

2. Final simplification 0.2

   \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020047 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))