Average Error: 0.2 → 0.2
Time: 2.7s
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 r220910 = x;
        double r220911 = 3.0;
        double r220912 = r220910 * r220911;
        double r220913 = r220912 * r220910;
        return r220913;
}
↓
double f(double x) {
        double r220914 = x;
        double r220915 = 3.0;
        double r220916 = r220914 * r220915;
        double r220917 = r220916 * r220914;
        return r220917;
}

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 2020064 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))