Average Error: 0.2 → 0.2

Time: 17.3s

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 r189724 = x;
        double r189725 = y;
        double r189726 = r189724 * r189725;
        double r189727 = r189726 * r189725;
        return r189727;
}

↓

double f(double x, double y) {
        double r189728 = x;
        double r189729 = y;
        double r189730 = r189728 * r189729;
        double r189731 = r189730 * r189729;
        return r189731;
}

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 2019326 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))