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 r283365 = x;
        double r283366 = 3.0;
        double r283367 = r283365 * r283366;
        double r283368 = r283367 * r283365;
        return r283368;
}
↓
double f(double x) {
        double r283369 = x;
        double r283370 = 3.0;
        double r283371 = r283369 * r283370;
        double r283372 = r283371 * r283369;
        return r283372;
}

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 2019353 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))