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

Number of nonzeros in constraint Jacobian............:        7
Number of nonzeros in Lagrangian Hessian.............:    59996

Total number of variables............................:    10000
                     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...............:        2
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        2
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  2.5741850e+06 7.33e+01 1.00e+02 1.98e-08  -1.0     -   0.00e+00  0  0 
   1  2.5741843e+06 7.33e+01 1.50e-03 1.98e-06  -1.0     -   2.00e-07  1  1h
   2  4.3321880e+05 2.17e+01 4.61e-04 1.00e-06  -1.0   -4.0  1.00e+00  2  1h
   3  8.7084800e+04 5.43e+00 1.58e-04 1.00e-06  -1.0     -   1.00e+00  6  1h
   4  1.8590697e+04 8.85e-01 5.15e-05 1.00e-06  -1.0     -   1.00e+00 10  1h
   5  4.1091445e+03 1.12e-01 8.40e-05 1.00e-06  -1.7     -   1.00e+00  5  1h
   6  8.7640280e+02 1.28e-04 1.54e-04 1.00e-06  -2.5     -   1.00e+00  3  1h
   7  1.3380440e+02 5.17e-05 7.04e-02 1.00e-06  -5.7     -   1.00e+00  2  1f
   8  2.8897673e+01 3.32e-08 6.59e-03 1.00e-06  -5.7     -   1.00e+00  2  1f
   9  2.7586588e+01 3.37e-10 1.17e-05 1.00e-06  -5.7     -   1.00e+00  2  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.7586584e+01 2.26e-15 4.49e-10 1.37e-08  -8.6     -   1.00e+00  1  1h
  11  2.7586584e+01 2.05e-15 1.13e-12 1.82e-09  -9.0     -   1.00e+00  1  1h

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:   2.0495232961704248e+00    2.7586583566453918e+01
Dual infeasibility......:   1.1348699757718350e-12    1.5275349873888899e-11
Constraint violation....:   2.0499570339973330e-15    2.0499570339973330e-15
Complementarity.........:   1.3517381440817514e-10    1.8194395419340373e-09
Overall NLP error.......:   1.8194395419340373e-09    1.8194395419340373e-09

Number of objective function evaluations              = 12
Number of objective gradient evaluations              = 12
Number of constraint evaluations                      = 12
Number of constraint Jacobian evaluations             = 12
Number of Lagrangian Hessian evaluations              = 11
Number of KKT factorizations                          = 12
Number of KKT backsolves                              = 45

Total wall secs in initialization                     =  0.035 s
Total wall secs in linear solver                      =  0.031 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.022 s
Total wall secs                                       =  0.092 s

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