Average Error: 0.2 → 0.2
Time: 18.4s
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 r13837204 = x;
        double r13837205 = y;
        double r13837206 = r13837204 * r13837205;
        double r13837207 = r13837206 * r13837205;
        return r13837207;
}
↓
double f(double x, double y) {
        double r13837208 = x;
        double r13837209 = y;
        double r13837210 = r13837208 * r13837209;
        double r13837211 = r13837210 * r13837209;
        return r13837211;
}

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 2019172 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))