Average Error: 0.2 → 0.2
Time: 8.7s
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 r202012 = x;
        double r202013 = 3.0;
        double r202014 = r202012 * r202013;
        double r202015 = r202014 * r202012;
        return r202015;
}
↓
double f(double x) {
        double r202016 = x;
        double r202017 = 3.0;
        double r202018 = r202016 * r202017;
        double r202019 = r202018 * r202016;
        return r202019;
}

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 2019212 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))