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 r267789 = x;
        double r267790 = 3.0;
        double r267791 = r267789 * r267790;
        double r267792 = r267791 * r267789;
        return r267792;
}
↓
double f(double x) {
        double r267793 = x;
        double r267794 = 3.0;
        double r267795 = r267793 * r267794;
        double r267796 = r267795 * r267793;
        return r267796;
}

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 2019353 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))