Average Error: 0.2 → 0.2
Time: 3.5s
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 r223540 = x;
        double r223541 = 3.0;
        double r223542 = r223540 * r223541;
        double r223543 = r223542 * r223540;
        return r223543;
}
↓
double f(double x) {
        double r223544 = x;
        double r223545 = 3.0;
        double r223546 = r223544 * r223545;
        double r223547 = r223546 * r223544;
        return r223547;
}

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 2020036 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))