Average Error: 0.2 → 0.2
Time: 2.5s
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 r303054 = x;
        double r303055 = 3.0;
        double r303056 = r303054 * r303055;
        double r303057 = r303056 * r303054;
        return r303057;
}
↓
double f(double x) {
        double r303058 = x;
        double r303059 = 3.0;
        double r303060 = r303058 * r303059;
        double r303061 = r303060 * r303058;
        return r303061;
}

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 2020065 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))