Average Error: 0.2 → 0.2
Time: 18.0s
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 r113441 = x;
        double r113442 = 3.0;
        double r113443 = r113441 * r113442;
        double r113444 = r113443 * r113441;
        return r113444;
}
↓
double f(double x) {
        double r113445 = x;
        double r113446 = 3.0;
        double r113447 = r113445 * r113446;
        double r113448 = r113447 * r113445;
        return r113448;
}

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 2019325 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))