Average Error: 0.2 → 0.2

Time: 4.5s

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 r231625 = x;
        double r231626 = y;
        double r231627 = r231625 * r231626;
        double r231628 = r231627 * r231626;
        return r231628;
}

↓

double f(double x, double y) {
        double r231629 = x;
        double r231630 = y;
        double r231631 = r231629 * r231630;
        double r231632 = r231631 * r231630;
        return r231632;
}

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 2020100 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))