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 r295981 = x;
        double r295982 = 3.0;
        double r295983 = r295981 * r295982;
        double r295984 = r295983 * r295981;
        return r295984;
}
↓
double f(double x) {
        double r295985 = x;
        double r295986 = 3.0;
        double r295987 = r295985 * r295986;
        double r295988 = r295987 * r295985;
        return r295988;
}

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 2020100 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))