Average Error: 0.2 → 0.2
Time: 14.3s
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 r162920 = x;
        double r162921 = y;
        double r162922 = r162920 * r162921;
        double r162923 = r162922 * r162921;
        return r162923;
}
↓
double f(double x, double y) {
        double r162924 = x;
        double r162925 = y;
        double r162926 = r162924 * r162925;
        double r162927 = r162926 * r162925;
        return r162927;
}

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 2019199 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))