Add new backends with DifferentiationInterface.jl #653

Job	Run time
setup_matrix	2m 6s
break (PartiallySeparableSolvers, latest)	4m 27s
break (SolverTest, latest)	8m 15s
break (PartiallySeparableSolvers, stable)	4m 24s
break (SolverTest, stable)	8m 31s
break (JSOSuite, latest)	3m 39s
break (PartiallySeparableNLPModels, latest)	3m 50s
break (PartiallySeparableNLPModels, stable)	4m 52s
break (JSOSuite, stable)	3m 50s
upload	7s
	44m 1s

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