Average Error: 0.2 → 0.2
Time: 3.4s
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 r223100 = x;
        double r223101 = 3.0;
        double r223102 = r223100 * r223101;
        double r223103 = r223102 * r223100;
        return r223103;
}
↓
double f(double x) {
        double r223104 = x;
        double r223105 = 3.0;
        double r223106 = r223104 * r223105;
        double r223107 = r223106 * r223104;
        return r223107;
}

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 2019356 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))