Average Error: 0.2 → 0.2
Time: 3.2s
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 r248052 = x;
        double r248053 = y;
        double r248054 = r248052 * r248053;
        double r248055 = r248054 * r248053;
        return r248055;
}
↓
double f(double x, double y) {
        double r248056 = x;
        double r248057 = y;
        double r248058 = r248056 * r248057;
        double r248059 = r248058 * r248057;
        return r248059;
}

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 2020049 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))