Average Error: 0.2 → 0.2

Time: 4.7s

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 r204547 = x;
        double r204548 = y;
        double r204549 = r204547 * r204548;
        double r204550 = r204549 * r204548;
        return r204550;
}

↓

double f(double x, double y) {
        double r204551 = x;
        double r204552 = y;
        double r204553 = r204551 * r204552;
        double r204554 = r204553 * r204552;
        return r204554;
}

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 2019308 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))