Average Error: 0.2 → 0.2
Time: 22.5s
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 r148046 = x;
        double r148047 = 3.0;
        double r148048 = r148046 * r148047;
        double r148049 = r148048 * r148046;
        return r148049;
}
↓
double f(double x) {
        double r148050 = x;
        double r148051 = 3.0;
        double r148052 = r148050 * r148051;
        double r148053 = r148052 * r148050;
        return r148053;
}

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))