Average Error: 0.2 → 0.2
Time: 21.3s
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 r220702 = x;
        double r220703 = 3.0;
        double r220704 = r220702 * r220703;
        double r220705 = r220704 * r220702;
        return r220705;
}
↓
double f(double x) {
        double r220706 = x;
        double r220707 = 3.0;
        double r220708 = r220706 * r220707;
        double r220709 = r220708 * r220706;
        return r220709;
}

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 2019323 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))