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 r182990 = x;
        double r182991 = 3.0;
        double r182992 = r182990 * r182991;
        double r182993 = r182992 * r182990;
        return r182993;
}
↓
double f(double x) {
        double r182994 = x;
        double r182995 = 3.0;
        double r182996 = r182994 * r182995;
        double r182997 = r182996 * r182994;
        return r182997;
}

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 2020033 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))