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Robertson ODE test problem (with rootfinding):
initial conditions: u0 = 1, v0 = 0, w0 = 0
t u v w
-----------------------------------------------------
0.00000e+00 1.00000e+00 0.00000e+00 0.00000e+00
2.64019e-01 9.89965e-01 3.47058e-05 1.00000e-02
rootsfound[] = 0 1
4.00000e+00 9.05519e-01 2.24048e-05 9.44589e-02
4.00000e+01 7.15827e-01 9.18557e-06 2.84164e-01
4.00000e+02 4.50519e-01 3.22289e-06 5.49478e-01
4.00000e+03 1.83202e-01 8.94239e-07 8.16797e-01
4.00000e+04 3.89834e-02 1.62177e-07 9.61016e-01
4.00000e+05 4.93828e-03 1.98499e-08 9.95062e-01
4.00000e+06 5.16810e-04 2.06836e-09 9.99483e-01
2.07955e+07 1.00000e-04 4.00913e-10 9.99900e-01
rootsfound[] = -1 0
4.00000e+08 5.20777e-06 2.07144e-11 9.99995e-01
4.00000e+09 5.20870e-07 2.07803e-12 9.99999e-01
4.00000e+10 5.20800e-08 4.22489e-13 1.00000e+00
-----------------------------------------------------
Final Solver Statistics:
Internal solver steps = 1070 (attempted = 1298)
Total RHS evals: Fe = 0, Fi = 36412
Total linear solver setups = 590
Total RHS evals for setting up the linear system = 0
Total number of Jacobian evaluations = 66
Total number of Newton iterations = 29962
Total root-function g evals = 1104
Total number of nonlinear solver convergence failures = 55
Total number of error test failures = 213
Total number of failed steps from solver failure = 15
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