Average Error: 0.2 → 0.2
Time: 20.8s
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 r161958 = x;
        double r161959 = y;
        double r161960 = r161958 * r161959;
        double r161961 = r161960 * r161959;
        return r161961;
}
↓
double f(double x, double y) {
        double r161962 = x;
        double r161963 = y;
        double r161964 = r161962 * r161963;
        double r161965 = r161964 * r161963;
        return r161965;
}

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 2019322 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))