Average Error: 0.2 → 0.2
Time: 4.3s
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 r252599 = x;
        double r252600 = y;
        double r252601 = r252599 * r252600;
        double r252602 = r252601 * r252600;
        return r252602;
}
↓
double f(double x, double y) {
        double r252603 = x;
        double r252604 = y;
        double r252605 = r252603 * r252604;
        double r252606 = r252605 * r252604;
        return r252606;
}

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 2020002 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))