Average Error: 0.2 → 0.2
Time: 7.2s
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 r150891 = x;
        double r150892 = 3.0;
        double r150893 = r150891 * r150892;
        double r150894 = r150893 * r150891;
        return r150894;
}
↓
double f(double x) {
        double r150895 = x;
        double r150896 = 3.0;
        double r150897 = r150895 * r150896;
        double r150898 = r150897 * r150895;
        return r150898;
}

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 2019291 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))