is it possible detect the begin and end of optimizer from code?

Yes, I was thinking about this; but how can I know the number of passes without a previous optimization.

I am using GlobalVariables for get the best set in my opinion with a private algorithm, my intention is when the optimization finished send me a mail with the information.

You cannot send mail from the tester last time I checked. Perhaps saving to file and having an expert_advisor read that file and email you the results will work for you. If you choose to use this route then filewritehistory() might be more helpful than just filewrite() because both live and tester can access that folder.

extern  int iOptimization=1;
        int iDeInit_Count=0;

void init(){}
void start(){}

void deinit(){
    iDeInit_Count++;
    if(IsOptimization()==false)return;
    int H=FileOpen("iOptimization.csv",FILE_CSV|FILE_READ|FILE_WRITE,',');
    FileWrite(H,"iDeInit_Count="+iDeInit_Count+",iOptimization="+iOptimization);
}

extern  int iOptimization=1;

void init(){}
void start(){}

void deinit(){
    int Cnt=GlobalVariableGet("iDeInit_Count"); Cnt++;
    GlobalVariableSet("iDeInit_Count",Cnt);
}

You can send mail with a extern dll.

I don´t understand how you get that output to file.

iOptimization in your code don´t change his value and must be 1 and iDeInit_Count = 1 is normal because this variable is destroyed in every init();