Average Error: 0.2 → 0.2

Time: 5.5s

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 r150203 = x;
        double r150204 = y;
        double r150205 = r150203 * r150204;
        double r150206 = r150205 * r150204;
        return r150206;
}

↓

double f(double x, double y) {
        double r150207 = x;
        double r150208 = y;
        double r150209 = r150207 * r150208;
        double r150210 = r150209 * r150208;
        return r150210;
}

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 2019304 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))