Average Error: 0.2 → 0.2
Time: 2.9s
Precision: 64
\[\left(x \cdot 3\right) \cdot x\]
↓
\[\left(x \cdot 3\right) \cdot x\]
\left(x \cdot 3\right) \cdot x
↓
\left(x \cdot 3\right) \cdot x
double f(double x) {
        double r224654 = x;
        double r224655 = 3.0;
        double r224656 = r224654 * r224655;
        double r224657 = r224656 * r224654;
        return r224657;
}
↓
double f(double x) {
        double r224658 = x;
        double r224659 = 3.0;
        double r224660 = r224658 * r224659;
        double r224661 = r224660 * r224658;
        return r224661;
}

Error

Bits error versus x

Try it out

Your Program's Arguments

Results

Enter valid numbers for all inputs

Derivation

  1. Initial program 0.2

    \[\left(x \cdot 3\right) \cdot x\]

  2. Final simplification0.2

    \[\leadsto \left(x \cdot 3\right) \cdot x\]

Reproduce

herbie shell --seed 2020018 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))