Average Error: 0.2 → 0.2
Time: 10.9s
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 r135890 = x;
        double r135891 = 3.0;
        double r135892 = r135890 * r135891;
        double r135893 = r135892 * r135890;
        return r135893;
}
↓
double f(double x) {
        double r135894 = x;
        double r135895 = 3.0;
        double r135896 = r135894 * r135895;
        double r135897 = r135896 * r135894;
        return r135897;
}

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 2019305 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))