Average Error: 0.2 → 0.2
Time: 8.5s
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 r200680 = x;
        double r200681 = 3.0;
        double r200682 = r200680 * r200681;
        double r200683 = r200682 * r200680;
        return r200683;
}
↓
double f(double x) {
        double r200684 = x;
        double r200685 = 3.0;
        double r200686 = r200684 * r200685;
        double r200687 = r200686 * r200684;
        return r200687;
}

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 2019235 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))