Average Error: 0.2 → 0.2
Time: 18.0s
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 r189648 = x;
        double r189649 = y;
        double r189650 = r189648 * r189649;
        double r189651 = r189650 * r189649;
        return r189651;
}
↓
double f(double x, double y) {
        double r189652 = x;
        double r189653 = y;
        double r189654 = r189652 * r189653;
        double r189655 = r189654 * r189653;
        return r189655;
}

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 2019325 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))