Average Error: 0.2 → 0.2
Time: 2.5s
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 r207951 = x;
        double r207952 = 3.0;
        double r207953 = r207951 * r207952;
        double r207954 = r207953 * r207951;
        return r207954;
}
↓
double f(double x) {
        double r207955 = x;
        double r207956 = 3.0;
        double r207957 = r207955 * r207956;
        double r207958 = r207957 * r207955;
        return r207958;
}

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 2020025 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))