Data.HyperLogLog.Config:hll from hyperloglog-0.3.4

Average Error: 0.2 → 0.2

Time: 11.2s

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 r295528 = x;
        double r295529 = y;
        double r295530 = r295528 * r295529;
        double r295531 = r295530 * r295529;
        return r295531;
}

↓

double f(double x, double y) {
        double r295532 = x;
        double r295533 = y;
        double r295534 = r295532 * r295533;
        double r295535 = r295534 * r295533;
        return r295535;
}

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