Average Error: 0.2 → 0.2
Time: 17.5s
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 r115651 = x;
        double r115652 = 3.0;
        double r115653 = r115651 * r115652;
        double r115654 = r115653 * r115651;
        return r115654;
}
↓
double f(double x) {
        double r115655 = x;
        double r115656 = 3.0;
        double r115657 = r115655 * r115656;
        double r115658 = r115657 * r115655;
        return r115658;
}

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))