Average Error: 0.2 → 0.2
Time: 3.0s
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 r193103 = x;
        double r193104 = 3.0;
        double r193105 = r193103 * r193104;
        double r193106 = r193105 * r193103;
        return r193106;
}
↓
double f(double x) {
        double r193107 = x;
        double r193108 = 3.0;
        double r193109 = r193107 * r193108;
        double r193110 = r193109 * r193107;
        return r193110;
}

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 2020035 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))