Average Error: 0.2 → 0.2
Time: 11.2s
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 r12161751 = x;
        double r12161752 = y;
        double r12161753 = r12161751 * r12161752;
        double r12161754 = r12161753 * r12161752;
        return r12161754;
}
↓
double f(double x, double y) {
        double r12161755 = x;
        double r12161756 = y;
        double r12161757 = r12161755 * r12161756;
        double r12161758 = r12161757 * r12161756;
        return r12161758;
}

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 2019179 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))