Average Error: 0.2 → 0.2
Time: 3.1s
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 r198712 = x;
        double r198713 = 3.0;
        double r198714 = r198712 * r198713;
        double r198715 = r198714 * r198712;
        return r198715;
}
↓
double f(double x) {
        double r198716 = x;
        double r198717 = 3.0;
        double r198718 = r198716 * r198717;
        double r198719 = r198718 * r198716;
        return r198719;
}

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 2020018 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))