Average Error: 0.2 → 0.2

Time: 8.9s

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 r152809 = x;
        double r152810 = y;
        double r152811 = r152809 * r152810;
        double r152812 = r152811 * r152810;
        return r152812;
}

↓

double f(double x, double y) {
        double r152813 = x;
        double r152814 = y;
        double r152815 = r152813 * r152814;
        double r152816 = r152815 * r152814;
        return r152816;
}

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 2019235 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))