Average Error: 0.2 → 0.2
Time: 19.6s
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 r206332 = x;
        double r206333 = 3.0;
        double r206334 = r206332 * r206333;
        double r206335 = r206334 * r206332;
        return r206335;
}
↓
double f(double x) {
        double r206336 = x;
        double r206337 = 3.0;
        double r206338 = r206336 * r206337;
        double r206339 = r206338 * r206336;
        return r206339;
}

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 2019306 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))