Average Error: 0.2 → 0.2
Time: 2.8s
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 r198518 = x;
        double r198519 = 3.0;
        double r198520 = r198518 * r198519;
        double r198521 = r198520 * r198518;
        return r198521;
}
↓
double f(double x) {
        double r198522 = x;
        double r198523 = 3.0;
        double r198524 = r198522 * r198523;
        double r198525 = r198524 * r198522;
        return r198525;
}

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 2020001 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))