Average Error: 0.2 → 0.2
Time: 20.7s
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 r12729366 = x;
        double r12729367 = y;
        double r12729368 = r12729366 * r12729367;
        double r12729369 = r12729368 * r12729367;
        return r12729369;
}
↓
double f(double x, double y) {
        double r12729370 = x;
        double r12729371 = y;
        double r12729372 = r12729370 * r12729371;
        double r12729373 = r12729372 * r12729371;
        return r12729373;
}

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 2019171 
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))