Average Error: 0.2 → 0.2
Time: 32.4s
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 r12641485 = x;
        double r12641486 = y;
        double r12641487 = r12641485 * r12641486;
        double r12641488 = r12641487 * r12641486;
        return r12641488;
}
↓
double f(double x, double y) {
        double r12641489 = x;
        double r12641490 = y;
        double r12641491 = r12641489 * r12641490;
        double r12641492 = r12641491 * r12641490;
        return r12641492;
}

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 2019168 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))