Average Error: 0.2 → 0.2
Time: 4.7s
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 r272469 = x;
        double r272470 = y;
        double r272471 = r272469 * r272470;
        double r272472 = r272471 * r272470;
        return r272472;
}
↓
double f(double x, double y) {
        double r272473 = x;
        double r272474 = y;
        double r272475 = r272473 * r272474;
        double r272476 = r272475 * r272474;
        return r272476;
}

Error

Bits error versus x

Bits error versus y

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot y\right) \cdot y\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot y\right) \cdot y\]

Reproduce

herbie shell --seed 2020027 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))