Average Error: 0.2 → 0.2
Time: 16.9s
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 r11383463 = x;
        double r11383464 = y;
        double r11383465 = r11383463 * r11383464;
        double r11383466 = r11383465 * r11383464;
        return r11383466;
}
↓
double f(double x, double y) {
        double r11383467 = x;
        double r11383468 = y;
        double r11383469 = r11383467 * r11383468;
        double r11383470 = r11383469 * r11383468;
        return r11383470;
}

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 2019162 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))