Average Error: 0.2 → 0.2
Time: 3.4s
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 r214751 = x;
        double r214752 = 3.0;
        double r214753 = r214751 * r214752;
        double r214754 = r214753 * r214751;
        return r214754;
}
↓
double f(double x) {
        double r214755 = x;
        double r214756 = 3.0;
        double r214757 = r214755 * r214756;
        double r214758 = r214757 * r214755;
        return r214758;
}

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 2019362 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))