Average Error: 0.2 → 0.2
Time: 3.2s
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 r253740 = x;
        double r253741 = 3.0;
        double r253742 = r253740 * r253741;
        double r253743 = r253742 * r253740;
        return r253743;
}
↓
double f(double x) {
        double r253744 = x;
        double r253745 = 3.0;
        double r253746 = r253744 * r253745;
        double r253747 = r253746 * r253744;
        return r253747;
}

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 2020021 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))