Average Error: 0.2 → 0.2
Time: 17.6s
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 r14080360 = x;
        double r14080361 = y;
        double r14080362 = r14080360 * r14080361;
        double r14080363 = r14080362 * r14080361;
        return r14080363;
}
↓
double f(double x, double y) {
        double r14080364 = x;
        double r14080365 = y;
        double r14080366 = r14080364 * r14080365;
        double r14080367 = r14080366 * r14080365;
        return r14080367;
}

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))