Average Error: 0.2 → 0.2
Time: 8.1s
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 r11286433 = x;
        double r11286434 = y;
        double r11286435 = r11286433 * r11286434;
        double r11286436 = r11286435 * r11286434;
        return r11286436;
}
↓
double f(double x, double y) {
        double r11286437 = x;
        double r11286438 = y;
        double r11286439 = r11286437 * r11286438;
        double r11286440 = r11286439 * r11286438;
        return r11286440;
}

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 2019192 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))