Average Error: 0.2 → 0.2

Time: 4.1s

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 r226712 = x;
        double r226713 = y;
        double r226714 = r226712 * r226713;
        double r226715 = r226714 * r226713;
        return r226715;
}

↓

double f(double x, double y) {
        double r226716 = x;
        double r226717 = y;
        double r226718 = r226716 * r226717;
        double r226719 = r226718 * r226717;
        return r226719;
}

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 2020081 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))