Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 11.0s

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 r319708 = x;
        double r319709 = y;
        double r319710 = r319708 * r319709;
        double r319711 = r319710 * r319709;
        return r319711;
}

↓

double f(double x, double y) {
        double r319712 = x;
        double r319713 = y;
        double r319714 = r319712 * r319713;
        double r319715 = r319714 * r319713;
        return r319715;
}

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 2020042 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))