Average Error: 0.2 → 0.2
Time: 8.3s
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 r175172 = x;
        double r175173 = y;
        double r175174 = r175172 * r175173;
        double r175175 = r175174 * r175173;
        return r175175;
}
↓
double f(double x, double y) {
        double r175176 = x;
        double r175177 = y;
        double r175178 = r175176 * r175177;
        double r175179 = r175178 * r175177;
        return r175179;
}

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 2019208 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))