How to check the Algorithm progress?

Hellow. I currently make the answer of my optimze problem.

but It can't be used until I confirmed that Algorithm is the same as paper.

The paper is Coleman, T. F. and Y. Li. “An Interior, Trust Region Approach for Nonlinear Minimization Subject to Bounds.” SIAM Journal on Optimization, Vol. 6, 1996, pp. 418–445.

I want to check if it has been done in the same way as the paper's algorithm 2.

But I can't find or understand how to figure it

Below is the formula that I got

options = optimoptions(@lsqnonlin,'Algorithm', 'trust-region-reflective','Display', 'iter', 'MaxFunctionEvaluations', 1000000, 'MaxIterations', 100000);
D_init = zeros(1,1);
lower_bound = 10^(-10);
upper_bound = 10^(-8);

[D_init,~,~,exitflag,output] = lsqnonlin(@myObjective, D_init, lower_bound, upper_bound, options)
     
     
                                                  Norm of      First-order 
 Iteration  Func-count     f(x)          step          optimality
     0          2         1.49051                         0.873
     
     1          4        0.499246    4.36598e-05          0.554      
     
     2          6        0.378797     1.9807e-05           0.24      
     
     3          8        0.360547    4.95176e-06          0.195      
     
     4         10        0.356504    1.23794e-06          0.185      
     
     5         12        0.355523    3.09485e-07          0.183      
     
There may be a local minimum.

Current step size tolerance for step size
 Lsqnonlin has been stopped because it is less than the value.
     
<Stop Criteria Details>
     
D_init =
     
   9.1835e-09
     
     
exitflag =
     
     2
     
     
output = 
     
  
Including the following fields struct:
     
    firstorderopt: 0.1826
       iterations: 5
        funcCount: 12
     cgiterations: 0
        algorithm: 'trust-region-reflective'
         stepsize: 3.0948e-07
          message: '↵There may be a local minimum.↵Current step size tolerance for step size↵
Lsqnonlin has been stopped because it is less than the value.↵↵<Stop Criteria Details>↵↵ Norm of  step   3.094848e-07 is lower then options.StepTolerance = 1.000000e-06 that Optimization has been stopped.↵↵'

Becuse of tanslation it's not good to read

I attach the formula

Thank you for your time.