Average Error: 0.2 → 0.2
Time: 4.5s
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 r129479 = x;
        double r129480 = 3.0;
        double r129481 = r129479 * r129480;
        double r129482 = r129481 * r129479;
        return r129482;
}
↓
double f(double x) {
        double r129483 = x;
        double r129484 = 3.0;
        double r129485 = r129483 * r129484;
        double r129486 = r129485 * r129483;
        return r129486;
}

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 2019308 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))