irobx: Robertson kinetics DAE serial example problem for IDA 
       Three equation chemical kinetics problem. 

Linear solver: IDADENSE, with user-supplied Jacobian.
Tolerance parameters:  rtol = 0.0001   atol = 1e-06 1e-10 1e-06 
Initial conditions y0 = (1 0 0)
Constraints and id not used.

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  t           y1           y2           y3      | nst  k      h
---------------------------------------------------------------------
4.00e-01   9.8517e-01   3.3864e-05   1.4795e-02 |  77  3   1.1431e-01
4.00e+00   9.0551e-01   2.2403e-05   9.4470e-02 |  91  4   3.7037e-01
4.00e+01   7.1582e-01   9.1854e-06   2.8417e-01 | 127  4   2.9630e+00
4.00e+02   4.5051e-01   3.2227e-06   5.4949e-01 | 177  3   1.2405e+01
4.00e+03   1.8316e-01   8.9396e-07   8.1684e-01 | 228  3   2.7646e+02
4.00e+04   3.8985e-02   1.6218e-07   9.6101e-01 | 278  5   2.6140e+03
4.00e+05   4.9388e-03   1.9852e-08   9.9506e-01 | 324  5   2.7701e+04
4.00e+06   5.1763e-04   2.0716e-09   9.9948e-01 | 355  4   3.9788e+05
4.00e+07   5.1907e-05   2.0764e-10   9.9995e-01 | 380  3   6.3661e+06
4.00e+08   5.8818e-06   2.3527e-11   9.9999e-01 | 394  1   9.1671e+07
4.00e+09   7.0539e-07   2.8216e-12   1.0000e-00 | 402  1   1.4667e+09
4.00e+10  -7.3001e-07  -2.9200e-12   1.0000e+00 | 407  1   2.3468e+10

Final Run Statistics: 

Number of steps                    = 407
Number of residual evaluations     = 557
Number of Jacobian evaluations     = 65
Number of nonlinear iterations     = 557
Number of error test failures      = 6
Number of nonlinear conv. failures = 0