Average Error: 0.2 → 0.2
Time: 11.9s
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 r150057 = x;
        double r150058 = 3.0;
        double r150059 = r150057 * r150058;
        double r150060 = r150059 * r150057;
        return r150060;
}
↓
double f(double x) {
        double r150061 = x;
        double r150062 = 3.0;
        double r150063 = r150061 * r150062;
        double r150064 = r150063 * r150061;
        return r150064;
}

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