Average Error: 0.2 → 0.2

Time: 19.1s

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 r126575 = x;
        double r126576 = y;
        double r126577 = r126575 * r126576;
        double r126578 = r126577 * r126576;
        return r126578;
}

↓

double f(double x, double y) {
        double r126579 = x;
        double r126580 = y;
        double r126581 = r126579 * r126580;
        double r126582 = r126581 * r126580;
        return r126582;
}

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 2019303 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))