Average Error: 0.2 → 0.2
Time: 2.4s
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 r267447 = x;
        double r267448 = 3.0;
        double r267449 = r267447 * r267448;
        double r267450 = r267449 * r267447;
        return r267450;
}
↓
double f(double x) {
        double r267451 = x;
        double r267452 = 3.0;
        double r267453 = r267451 * r267452;
        double r267454 = r267453 * r267451;
        return r267454;
}

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 2020081 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))