Average Error: 0.2 → 0.2
Time: 2.8s
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 r172891 = x;
        double r172892 = 3.0;
        double r172893 = r172891 * r172892;
        double r172894 = r172893 * r172891;
        return r172894;
}
↓
double f(double x) {
        double r172895 = x;
        double r172896 = 3.0;
        double r172897 = r172895 * r172896;
        double r172898 = r172897 * r172895;
        return r172898;
}

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 2020056 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))