Average Error: 0.2 → 0.2
Time: 3.4s
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 r255910 = x;
        double r255911 = y;
        double r255912 = r255910 * r255911;
        double r255913 = r255912 * r255911;
        return r255913;
}
↓
double f(double x, double y) {
        double r255914 = x;
        double r255915 = y;
        double r255916 = r255914 * r255915;
        double r255917 = r255916 * r255915;
        return r255917;
}

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 2019353 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))