Average Error: 0.2 → 0.2
Time: 17.4s
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 r12129642 = x;
        double r12129643 = y;
        double r12129644 = r12129642 * r12129643;
        double r12129645 = r12129644 * r12129643;
        return r12129645;
}
↓
double f(double x, double y) {
        double r12129646 = x;
        double r12129647 = y;
        double r12129648 = r12129646 * r12129647;
        double r12129649 = r12129648 * r12129647;
        return r12129649;
}

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 2019170 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))