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.............:   600003

Total number of variables............................:   100001
                     variables with only lower bounds:   100001
                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  3.0000000e+00 0.00e+00 1.50e+00 2.00e+00  -1.0     -   0.00e+00  1  0 
   1 -8.6554858e+04 0.00e+00 1.00e-06 4.49e-01  -1.0     -   1.00e+00  1  1f
   2 -9.6119737e+04 0.00e+00 2.00e-07 1.23e-01  -1.7     -   1.00e+00  1  1f
   3 -9.8957559e+04 0.00e+00 2.83e-08 3.21e-02  -2.5     -   1.00e+00  1  1f
   4 -9.9663505e+04 0.00e+00 2.83e-08 9.49e-03  -2.5     -   1.00e+00  1  1f
   5 -9.9911698e+04 0.00e+00 1.50e-09 2.45e-03  -3.8     -   1.00e+00  1  1f
   6 -9.9973628e+04 0.00e+00 1.50e-09 6.90e-04  -3.8     -   1.00e+00  1  1f
   7 -9.9992986e+04 0.00e+00 1.84e-11 1.73e-04  -5.7     -   1.00e+00  1  1f
   8 -9.9997825e+04 0.00e+00 1.84e-11 4.43e-05  -5.7     -   1.00e+00  1  1f
   9 -9.9999034e+04 0.00e+00 1.84e-11 1.20e-05  -5.7     -   1.00e+00  1  1f
iter    objective    inf_pr   inf_du inf_compl lg(mu) lg(rg) alpha_pr ir ls
  10 -9.9999383e+04 0.00e+00 2.53e-14 3.00e-06  -8.6     -   1.00e+00  1  1f
  11 -9.9999471e+04 0.00e+00 2.54e-14 7.52e-07  -8.6     -   1.00e+00  1  1f
  12 -9.9999493e+04 0.00e+00 2.54e-14 1.89e-07  -8.6     -   1.00e+00  1  1f
  13 -9.9999498e+04 0.00e+00 2.53e-14 4.86e-08  -8.6     -   1.00e+00  1  1f
  14 -9.9999499e+04 0.00e+00 2.54e-14 1.34e-08  -8.6     -   1.00e+00  1  1f
  15 -9.9999500e+04 0.00e+00 9.34e-15 3.83e-09  -9.0     -   1.00e+00  1  1f

Number of Iterations....: 15

                                   (scaled)                 (unscaled)
Objective...............:  -9.9999499841139215e+04   -9.9999499841139215e+04
Dual infeasibility......:   9.3409980271574877e-15    9.3409980271574877e-15
Constraint violation....:   0.0000000000000000e+00    0.0000000000000000e+00
Complementarity.........:   3.8274714112113635e-09    3.8274714112113635e-09
Overall NLP error.......:   3.8274714112113635e-09    3.8274714112113635e-09

Number of objective function evaluations              = 16
Number of objective gradient evaluations              = 16
Number of constraint evaluations                      = 16
Number of constraint Jacobian evaluations             = 16
Number of Lagrangian Hessian evaluations              = 15
Number of KKT factorizations                          = 16
Number of KKT backsolves                              = 16

Total wall secs in initialization                     =  0.017 s
Total wall secs in linear solver                      =  0.242 s
Total wall secs in NLP function evaluations           =  0.004 s
Total wall secs in solver (w/o init./fun./lin. alg.)  =  0.035 s
Total wall secs                                       =  0.298 s

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