Average Error: 0.2 → 0.2
Time: 2.9s
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 r194711 = x;
        double r194712 = 3.0;
        double r194713 = r194711 * r194712;
        double r194714 = r194713 * r194711;
        return r194714;
}
↓
double f(double x) {
        double r194715 = x;
        double r194716 = 3.0;
        double r194717 = r194715 * r194716;
        double r194718 = r194717 * r194715;
        return r194718;
}

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 2020060 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))