Average Error: 0.2 → 0.2
Time: 16.4s
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 r11396748 = x;
        double r11396749 = y;
        double r11396750 = r11396748 * r11396749;
        double r11396751 = r11396750 * r11396749;
        return r11396751;
}
↓
double f(double x, double y) {
        double r11396752 = x;
        double r11396753 = y;
        double r11396754 = r11396752 * r11396753;
        double r11396755 = r11396754 * r11396753;
        return r11396755;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))