Average Error: 0.2 → 0.2
Time: 10.3s
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 r199677 = x;
        double r199678 = y;
        double r199679 = r199677 * r199678;
        double r199680 = r199679 * r199678;
        return r199680;
}
↓
double f(double x, double y) {
        double r199681 = x;
        double r199682 = y;
        double r199683 = r199681 * r199682;
        double r199684 = r199683 * r199682;
        return r199684;
}

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 2019209 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))