Average Error: 0.2 → 0.2
Time: 7.5s
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 r129341 = x;
        double r129342 = 3.0;
        double r129343 = r129341 * r129342;
        double r129344 = r129343 * r129341;
        return r129344;
}
↓
double f(double x) {
        double r129345 = x;
        double r129346 = 3.0;
        double r129347 = r129345 * r129346;
        double r129348 = r129347 * r129345;
        return r129348;
}

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 2019298 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))