Use solve from OptimizationBase

[ErikQQY]

solve interface has migrated from SciMLBase to OptimizationBase in SciML/Optimization.jl#1053

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Benchmark Results

Click to check benchmark results

	master	917ca50...	master / 917ca50...
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK2()	0.306 ± 0.02 s	0.281 ± 0.021 s	1.09 ± 0.11
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK3()	10.1 ± 0.31 ms	9.75 ± 0.45 ms	1.03 ± 0.057
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK4()	2.58 ± 0.085 ms	2.51 ± 0.096 ms	1.03 ± 0.052
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK5()	7.55 ± 1.8 ms	7.2 ± 1.9 ms	1.05 ± 0.37
Simple Pendulum/IIP/BoundaryValueDiffEqMIRK.MIRK6()	1.37 ± 0.37 ms	1.33 ± 0.37 ms	1.03 ± 0.4
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = false)	1.78 ± 1 ms	1.79 ± 1 ms	0.998 ± 0.81
Simple Pendulum/IIP/MultipleShooting(10, Tsit5; grid_coarsening = true)	2.98 ± 0.91 ms	3.01 ± 0.95 ms	0.993 ± 0.44
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.074 ± 0.015 s	0.0747 ± 0.016 s	0.991 ± 0.29
Simple Pendulum/IIP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.0933 ± 0.023 s	0.0891 ± 0.026 s	1.05 ± 0.4
Simple Pendulum/IIP/Shooting(Tsit5())	0.243 ± 0.075 ms	0.242 ± 0.073 ms	1 ± 0.43
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK2()	0.454 ± 0.0089 s	0.442 ± 0.011 s	1.03 ± 0.032
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK3()	12.3 ± 5.8 ms	12.3 ± 5.9 ms	0.999 ± 0.67
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK4()	2.84 ± 0.2 ms	2.88 ± 0.38 ms	0.986 ± 0.15
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK5()	8.39 ± 1.2 ms	8.45 ± 1.2 ms	0.993 ± 0.2
Simple Pendulum/OOP/BoundaryValueDiffEqMIRK.MIRK6()	1.51 ± 0.24 ms	1.51 ± 0.24 ms	0.999 ± 0.23
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = false)	3.05 ± 3.7 ms	3.07 ± 3.8 ms	0.991 ± 1.7
Simple Pendulum/OOP/MultipleShooting(10, Tsit5; grid_coarsening = true)	5.18 ± 5.7 ms	5.27 ± 5.8 ms	0.984 ± 1.5
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = false)	0.114 ± 0.0083 s	0.117 ± 0.011 s	0.969 ± 0.11
Simple Pendulum/OOP/MultipleShooting(100, Tsit5; grid_coarsening = true)	0.148 ± 0.068 s	0.151 ± 0.067 s	0.979 ± 0.62
Simple Pendulum/OOP/Shooting(Tsit5())	0.531 ± 0.12 ms	0.533 ± 0.16 ms	0.996 ± 0.38
time_to_load	4.23 ± 0.022 s	4.25 ± 0.013 s	0.996 ± 0.0061

### Benchmark Plots A plot of the benchmark results has been uploaded as an artifact to the workflow run for this PR. Go to "Actions"->"Benchmark a pull request"->[the most recent run]->"Artifacts" (at the bottom).

[ErikQQY]

The failings seem related to JET