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 r159904 = x;
        double r159905 = y;
        double r159906 = r159904 * r159905;
        double r159907 = r159906 * r159905;
        return r159907;
}
↓
double f(double x, double y) {
        double r159908 = x;
        double r159909 = y;
        double r159910 = r159908 * r159909;
        double r159911 = r159910 * r159909;
        return r159911;
}

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