Average Error: 0.2 → 0.2
Time: 7.1s
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 r312758 = x;
        double r312759 = 3.0;
        double r312760 = r312758 * r312759;
        double r312761 = r312760 * r312758;
        return r312761;
}
↓
double f(double x) {
        double r312762 = x;
        double r312763 = 3.0;
        double r312764 = r312762 * r312763;
        double r312765 = r312764 * r312762;
        return r312765;
}

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 2019303 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))