Average Error: 0.2 → 0.2
Time: 20.4s
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 r113785 = x;
        double r113786 = 3.0;
        double r113787 = r113785 * r113786;
        double r113788 = r113787 * r113785;
        return r113788;
}
↓
double f(double x) {
        double r113789 = x;
        double r113790 = 3.0;
        double r113791 = r113789 * r113790;
        double r113792 = r113791 * r113789;
        return r113792;
}

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 2019323 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))