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

Number of nonzeros in constraint Jacobian............:        0
Number of nonzeros in Lagrangian Hessian.............:   999989

Total number of variables............................:   100000
                     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...............:        0
        inequality constraints with only lower bounds:        0
   inequality constraints with lower and upper bounds:        0
        inequality constraints with only upper bounds:        0

iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
   0  6.1207200e+08 0.00e+00 1.00e+02 0.00e+00  -1.0     -   0.00e+00  0  0 
   1  2.1033217e+08 0.00e+00 4.36e+01 0.00e+00  -1.0    2.0  1.00e+00  1  1f
   2  5.8860367e+07 0.00e+00 1.67e+01 0.00e+00  -1.0    1.5  1.00e+00  1  1f
   3  1.4806712e+07 0.00e+00 5.85e+00 0.00e+00  -1.0    1.0  1.00e+00  1  1f
   4  3.2453795e+06 0.00e+00 1.92e+00 0.00e+00  -1.0    0.6  1.00e+00  1  1f
   5  5.4571317e+05 0.00e+00 5.58e-01 0.00e+00  -1.0    0.1  1.00e+00  1  1f
   6  5.3025472e+04 0.00e+00 1.28e-01 0.00e+00  -1.7   -0.4  1.00e+00  1  1f
   7  1.5975950e+03 0.00e+00 1.65e-02 0.00e+00  -2.5   -0.9  1.00e+00  1  1f
   8  5.0715389e+00 0.00e+00 6.28e-04 0.00e+00  -3.8   -1.3  1.00e+00  1  1f
   9  9.5056579e-04 0.00e+00 6.12e-06 0.00e+00  -5.7   -1.8  1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10  2.0636910e-08 0.00e+00 2.20e-08 0.00e+00  -8.6   -2.3  1.00e+00  1  1f
  11  5.8376495e-14 0.00e+00 3.29e-11 0.00e+00  -9.0   -2.8  1.00e+00  1  1f

Number of Iterations....: 11

                                   (scaled)                 (unscaled)
Objective...............:   2.6436762354614022e-21    5.8376495453570225e-14
Dual infeasibility......:   3.2853366253188398e-11    7.2545357861455539e-04
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   0.0000000000000000e+00    0.0000000000000000e+00
Overall NLP error.......:   1.4878190775865069e-18    3.2853366253188398e-11

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                          = 25
Number of KKT backsolves                              = 11

Total wall secs in initialization                     =  0.174 s
Total wall secs in linear solver                      =  0.093 s
Total wall secs in NLP function evaluations           =  0.007 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.009 s
Total wall secs                                       =  0.282 s

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