Average Error: 0.2 → 0.2

Time: 3.8s

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 r261629 = x;
        double r261630 = y;
        double r261631 = r261629 * r261630;
        double r261632 = r261631 * r261630;
        return r261632;
}

↓

double f(double x, double y) {
        double r261633 = x;
        double r261634 = y;
        double r261635 = r261633 * r261634;
        double r261636 = r261635 * r261634;
        return r261636;
}

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 2020039 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))