Average Error: 0.2 → 0.2
Time: 2.6s
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 r226641 = x;
        double r226642 = 3.0;
        double r226643 = r226641 * r226642;
        double r226644 = r226643 * r226641;
        return r226644;
}
↓
double f(double x) {
        double r226645 = x;
        double r226646 = 3.0;
        double r226647 = r226645 * r226646;
        double r226648 = r226647 * r226645;
        return r226648;
}

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 2020062 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))