Average Error: 0.2 → 0.2

Time: 8.4s

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 r278164 = x;
        double r278165 = y;
        double r278166 = r278164 * r278165;
        double r278167 = r278166 * r278165;
        return r278167;
}

↓

double f(double x, double y) {
        double r278168 = x;
        double r278169 = y;
        double r278170 = r278168 * r278169;
        double r278171 = r278170 * r278169;
        return r278171;
}

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 2019174 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))