Average Error: 0.2 → 0.2
Time: 3.1s
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 r221998 = x;
        double r221999 = 3.0;
        double r222000 = r221998 * r221999;
        double r222001 = r222000 * r221998;
        return r222001;
}
↓
double f(double x) {
        double r222002 = x;
        double r222003 = 3.0;
        double r222004 = r222002 * r222003;
        double r222005 = r222004 * r222002;
        return r222005;
}

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 2020034 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))