Average Error: 0.2 → 0.2
Time: 3.7s
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 r260808 = x;
        double r260809 = 3.0;
        double r260810 = r260808 * r260809;
        double r260811 = r260810 * r260808;
        return r260811;
}
↓
double f(double x) {
        double r260812 = x;
        double r260813 = 3.0;
        double r260814 = r260812 * r260813;
        double r260815 = r260814 * r260812;
        return r260815;
}

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 2020003 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))