Average Error: 0.2 → 0.2

Time: 9.3s

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 r185828 = x;
        double r185829 = y;
        double r185830 = r185828 * r185829;
        double r185831 = r185830 * r185829;
        return r185831;
}

↓

double f(double x, double y) {
        double r185832 = x;
        double r185833 = y;
        double r185834 = r185832 * r185833;
        double r185835 = r185834 * r185833;
        return r185835;
}

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 2019194 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))