Average Error: 0.2 → 0.2
Time: 4.4s
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 r244039 = x;
        double r244040 = y;
        double r244041 = r244039 * r244040;
        double r244042 = r244041 * r244040;
        return r244042;
}
↓
double f(double x, double y) {
        double r244043 = x;
        double r244044 = y;
        double r244045 = r244043 * r244044;
        double r244046 = r244045 * r244044;
        return r244046;
}

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 2020081 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  :precision binary64
  (* (* x y) y))