Average Error: 0.2 → 0.2

Time: 11.5s

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 r233541 = x;
        double r233542 = y;
        double r233543 = r233541 * r233542;
        double r233544 = r233543 * r233542;
        return r233544;
}

↓

double f(double x, double y) {
        double r233545 = x;
        double r233546 = y;
        double r233547 = r233545 * r233546;
        double r233548 = r233547 * r233546;
        return r233548;
}

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 2019294 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))