Average Error: 0.2 → 0.2
Time: 4.0s
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 r109961 = x;
        double r109962 = 3.0;
        double r109963 = r109961 * r109962;
        double r109964 = r109963 * r109961;
        return r109964;
}
↓
double f(double x) {
        double r109965 = x;
        double r109966 = 3.0;
        double r109967 = r109965 * r109966;
        double r109968 = r109967 * r109965;
        return r109968;
}

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 1978988140 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))