Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 12.9s

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 r291111 = x;
        double r291112 = y;
        double r291113 = r291111 * r291112;
        double r291114 = r291113 * r291112;
        return r291114;
}

↓

double f(double x, double y) {
        double r291115 = x;
        double r291116 = y;
        double r291117 = r291115 * r291116;
        double r291118 = r291117 * r291116;
        return r291118;
}

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 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))