Average Error: 0.2 → 0.2
Time: 9.9s
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 r155341 = x;
        double r155342 = 3.0;
        double r155343 = r155341 * r155342;
        double r155344 = r155343 * r155341;
        return r155344;
}
↓
double f(double x) {
        double r155345 = x;
        double r155346 = 3.0;
        double r155347 = r155345 * r155346;
        double r155348 = r155347 * r155345;
        return r155348;
}

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 2019297 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))