Average Error: 0.2 → 0.2
Time: 3.0s
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 r229523 = x;
        double r229524 = 3.0;
        double r229525 = r229523 * r229524;
        double r229526 = r229525 * r229523;
        return r229526;
}
↓
double f(double x) {
        double r229527 = x;
        double r229528 = 3.0;
        double r229529 = r229527 * r229528;
        double r229530 = r229529 * r229527;
        return r229530;
}

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 2020083 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))