Average Error: 0.2 → 0.2
Time: 4.5s
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 r277813 = x;
        double r277814 = y;
        double r277815 = r277813 * r277814;
        double r277816 = r277815 * r277814;
        return r277816;
}
↓
double f(double x, double y) {
        double r277817 = x;
        double r277818 = y;
        double r277819 = r277817 * r277818;
        double r277820 = r277819 * r277818;
        return r277820;
}

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 2020002 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))