Average Error: 0.2 → 0.2
Time: 17.0s
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 r109041 = x;
        double r109042 = 3.0;
        double r109043 = r109041 * r109042;
        double r109044 = r109043 * r109041;
        return r109044;
}
↓
double f(double x) {
        double r109045 = x;
        double r109046 = 3.0;
        double r109047 = r109045 * r109046;
        double r109048 = r109047 * r109045;
        return r109048;
}

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 2019326 +o rules:numerics
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))