Average Error: 0.2 → 0.2
Time: 20.0s
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 r200519 = x;
        double r200520 = 3.0;
        double r200521 = r200519 * r200520;
        double r200522 = r200521 * r200519;
        return r200522;
}
↓
double f(double x) {
        double r200523 = x;
        double r200524 = 3.0;
        double r200525 = r200523 * r200524;
        double r200526 = r200525 * r200523;
        return r200526;
}

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 2019303 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))