This is MadNLP version v0.12.0, running with cuDSS v1.0.0

Number of nonzeros in constraint Jacobian............:        8
Number of nonzeros in Lagrangian Hessian.............:       16

Total number of variables............................:        5
                     variables with only lower bounds:        0
                variables with lower and upper bounds:        0
                     variables with only upper bounds:        0
Total number of equality constraints.................:        0
Total number of inequality constraints...............:        3
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        3
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  1.0000000e+00 1.18e+01 2.00e+00 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  9.9999983e-01 1.18e+01 3.00e-05 1.00e-06  -1.0     -   1.00e-07  1  2h
   2  1.0976692e+01 2.87e+00 3.60e-04 1.00e-06  -1.0   -4.0  1.00e+00  2  1h
   3  2.3738762e+00 7.48e-01 1.03e-04 1.00e-06  -1.0     -   1.00e+00  9  1h
   4  8.8208193e-01 2.18e-01 1.32e-04 1.00e-06  -1.7     -   1.00e+00  5  1h
   5  7.6359060e-01 6.50e-02 2.01e-05 1.00e-06  -1.7     -   1.00e+00  6  1h
   6  8.2100009e-01 3.35e-03 2.76e-05 1.00e-06  -2.5     -   1.00e+00  3  1h
   7  8.2485494e-01 3.21e-05 6.38e-06 1.00e-06  -3.8     -   1.00e+00  2  1h
   8  8.2489176e-01 1.32e-08 2.99e-08 1.00e-06  -5.7     -   1.00e+00  1  1h
   9  8.2489178e-01 2.15e-16 2.99e-10 1.48e-08  -8.6     -   1.00e+00  1  1h
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  8.2489175e-01 1.57e-16 5.30e-09 2.65e-09  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 10

                                   (scaled)                 (unscaled)
Objective...............:   8.2489175138607207e-01    8.2489175138607207e-01
Dual infeasibility......:   5.3039388436815216e-09    5.3039388436815216e-09
Constraint violation....:   1.5661449522217555e-16    1.5661449522217555e-16
Complementarity.........:   2.6468054114576344e-09    2.6468054114576344e-09
Overall NLP error.......:   5.3039388436815216e-09    5.3039388436815216e-09

Number of objective function evaluations              = 12
Number of objective gradient evaluations              = 11
Number of constraint evaluations                      = 12
Number of constraint Jacobian evaluations             = 11
Number of Lagrangian Hessian evaluations              = 10
Number of KKT factorizations                          = 11
Number of KKT backsolves                              = 41

Total wall secs in initialization                     =  0.014 s
Total wall secs in linear solver                      =  0.017 s
Total wall secs in NLP function evaluations           =  0.003 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.016 s
Total wall secs                                       =  0.050 s

EXIT: Optimal Solution Found (tol = 1.0e-08).