Average Error: 0.2 → 0.2
Time: 3.6s
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 r265606 = x;
        double r265607 = y;
        double r265608 = r265606 * r265607;
        double r265609 = r265608 * r265607;
        return r265609;
}
↓
double f(double x, double y) {
        double r265610 = x;
        double r265611 = y;
        double r265612 = r265610 * r265611;
        double r265613 = r265612 * r265611;
        return r265613;
}

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 2020059 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))