Average Error: 0.2 → 0.2
Time: 2.2s
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 r224882 = x;
        double r224883 = 3.0;
        double r224884 = r224882 * r224883;
        double r224885 = r224884 * r224882;
        return r224885;
}
↓
double f(double x) {
        double r224886 = x;
        double r224887 = 3.0;
        double r224888 = r224886 * r224887;
        double r224889 = r224888 * r224886;
        return r224889;
}

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 2020081 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))