Average Error: 0.2 → 0.2
Time: 3.0s
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 r161773 = x;
        double r161774 = 3.0;
        double r161775 = r161773 * r161774;
        double r161776 = r161775 * r161773;
        return r161776;
}
↓
double f(double x) {
        double r161777 = x;
        double r161778 = 3.0;
        double r161779 = r161777 * r161778;
        double r161780 = r161779 * r161777;
        return r161780;
}

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 2020024 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))