Average Error: 0.2 → 0.2

Time: 3.3s

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 r233248 = x;
        double r233249 = y;
        double r233250 = r233248 * r233249;
        double r233251 = r233250 * r233249;
        return r233251;
}

↓

double f(double x, double y) {
        double r233252 = x;
        double r233253 = y;
        double r233254 = r233252 * r233253;
        double r233255 = r233254 * r233253;
        return r233255;
}

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 2020060 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))