Average Error: 0.2 → 0.2
Time: 2.9s
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 r196989 = x;
        double r196990 = 3.0;
        double r196991 = r196989 * r196990;
        double r196992 = r196991 * r196989;
        return r196992;
}
↓
double f(double x) {
        double r196993 = x;
        double r196994 = 3.0;
        double r196995 = r196993 * r196994;
        double r196996 = r196995 * r196993;
        return r196996;
}

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 2020060 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))