Add TaylorIntegration caches #604

Job	Run time
pre_job	4s
Julia 1.10 - ubuntu-latest - x64 - 1 thread(s) - push	9m 3s
Julia 1.10 - macos-latest - x64 - 1 thread(s) - push	10m 13s
Julia 1.10 - windows-latest - x64 - 1 thread(s) - push	11m 1s
Julia 1 - ubuntu-latest - x64 - 1 thread(s) - push	13m 36s
Julia 1 - macos-latest - x64 - 1 thread(s) - push	15m 4s
Julia 1 - windows-latest - x64 - 1 thread(s) - push	16m 2s
Julia nightly - ubuntu-latest - x64 - 1 thread(s) - push	15m 34s
Julia nightly - macos-latest - x64 - 1 thread(s) - push	15m 50s
Julia nightly - windows-latest - x64 - 1 thread(s) - push	15m 45s
Julia 1 - ubuntu-latest - x64 - 2 thread(s) - push	13m 34s
	2h 15m 46s

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