Average Error: 0.2 → 0.2
Time: 21.6s
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 r146861 = x;
        double r146862 = 3.0;
        double r146863 = r146861 * r146862;
        double r146864 = r146863 * r146861;
        return r146864;
}
↓
double f(double x) {
        double r146865 = x;
        double r146866 = 3.0;
        double r146867 = r146865 * r146866;
        double r146868 = r146867 * r146865;
        return r146868;
}

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 2019322 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))