Average Error: 0.2 → 0.2
Time: 40.7s
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 r11164271 = x;
        double r11164272 = y;
        double r11164273 = r11164271 * r11164272;
        double r11164274 = r11164273 * r11164272;
        return r11164274;
}
↓
double f(double x, double y) {
        double r11164275 = x;
        double r11164276 = y;
        double r11164277 = r11164275 * r11164276;
        double r11164278 = r11164277 * r11164276;
        return r11164278;
}

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 2019165 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))