Average Error: 0.2 → 0.2
Time: 15.2s
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 r148703 = x;
        double r148704 = y;
        double r148705 = r148703 * r148704;
        double r148706 = r148705 * r148704;
        return r148706;
}
↓
double f(double x, double y) {
        double r148707 = x;
        double r148708 = y;
        double r148709 = r148707 * r148708;
        double r148710 = r148709 * r148708;
        return r148710;
}

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 2019323 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))