Average Error: 0.2 → 0.2

Time: 10.5s

Precision: 64

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

↓

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

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

↓

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

double f(double x, double y) {
        double r208981 = x;
        double r208982 = y;
        double r208983 = r208981 * r208982;
        double r208984 = r208983 * r208982;
        return r208984;
}

↓

double f(double x, double y) {
        double r208985 = x;
        double r208986 = y;
        double r208987 = r208985 * r208986;
        double r208988 = r208987 * r208986;
        return r208988;
}

Error

The X axis uses an exponential scale — Bits error versus `x`

Try it out

In
Out

Enter valid numbers for all inputs

Derivation

Initial program 0.2
\[\left(x \cdot y\right) \cdot y\]
Final simplification0.2
\[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2019209 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))