Average Error: 0.2 → 0.2
Time: 2.7s
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 r241697 = x;
        double r241698 = 3.0;
        double r241699 = r241697 * r241698;
        double r241700 = r241699 * r241697;
        return r241700;
}
↓
double f(double x) {
        double r241701 = x;
        double r241702 = 3.0;
        double r241703 = r241701 * r241702;
        double r241704 = r241703 * r241701;
        return r241704;
}

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 2020057 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))