Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 9.9s

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 r353543 = x;
        double r353544 = y;
        double r353545 = r353543 * r353544;
        double r353546 = r353545 * r353544;
        return r353546;
}

↓

double f(double x, double y) {
        double r353547 = x;
        double r353548 = y;
        double r353549 = r353547 * r353548;
        double r353550 = r353549 * r353548;
        return r353550;
}

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 2020046 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))