Average Error: 0.2 → 0.2
Time: 41.3s
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 r13422801 = x;
        double r13422802 = y;
        double r13422803 = r13422801 * r13422802;
        double r13422804 = r13422803 * r13422802;
        return r13422804;
}
↓
double f(double x, double y) {
        double r13422805 = x;
        double r13422806 = y;
        double r13422807 = r13422805 * r13422806;
        double r13422808 = r13422807 * r13422806;
        return r13422808;
}

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 2019165 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))