Average Error: 0.2 → 0.2
Time: 14.2s
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 r10554621 = x;
        double r10554622 = y;
        double r10554623 = r10554621 * r10554622;
        double r10554624 = r10554623 * r10554622;
        return r10554624;
}
↓
double f(double x, double y) {
        double r10554625 = x;
        double r10554626 = y;
        double r10554627 = r10554625 * r10554626;
        double r10554628 = r10554627 * r10554626;
        return r10554628;
}

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 2019163 +o rules:numerics
(FPCore (x y)
  :name "Data.HyperLogLog.Config:hll from hyperloglog-0.3.4"
  (* (* x y) y))