Average Error: 0.2 → 0.2
Time: 9.2s
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 r162186 = x;
        double r162187 = 3.0;
        double r162188 = r162186 * r162187;
        double r162189 = r162188 * r162186;
        return r162189;
}
↓
double f(double x) {
        double r162190 = x;
        double r162191 = 3.0;
        double r162192 = r162190 * r162191;
        double r162193 = r162192 * r162190;
        return r162193;
}

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 2019294 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))