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 r212622 = x;
        double r212623 = 3.0;
        double r212624 = r212622 * r212623;
        double r212625 = r212624 * r212622;
        return r212625;
}
↓
double f(double x) {
        double r212626 = x;
        double r212627 = 3.0;
        double r212628 = r212626 * r212627;
        double r212629 = r212628 * r212626;
        return r212629;
}

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 2020036 
(FPCore (x)
  :name "Diagrams.Tangent:$catParam from diagrams-lib-1.3.0.3, F"
  :precision binary64
  (* (* x 3) x))