Average Error: 0.2 → 0.2
Time: 2.8s
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 r210075 = x;
        double r210076 = 3.0;
        double r210077 = r210075 * r210076;
        double r210078 = r210077 * r210075;
        return r210078;
}
↓
double f(double x) {
        double r210079 = x;
        double r210080 = 3.0;
        double r210081 = r210079 * r210080;
        double r210082 = r210081 * r210079;
        return r210082;
}

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 2020057 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))