Average Error: 0.2 → 0.2
Time: 22.7s
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 r156294 = x;
        double r156295 = 3.0;
        double r156296 = r156294 * r156295;
        double r156297 = r156296 * r156294;
        return r156297;
}
↓
double f(double x) {
        double r156298 = x;
        double r156299 = 3.0;
        double r156300 = r156298 * r156299;
        double r156301 = r156300 * r156298;
        return r156301;
}

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 2019325 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))