Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 3.3s

Precision: 64

Math

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

↓

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

C

double code(double x, double y) {
	return ((x * y) * y);
}

↓

double code(double x, double y) {
	return ((x * y) * y);
}

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 2020056 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))