It's a long-standing problem in compilers, often referred to as the "phase ordering problem". In general, forward dataflow optimizations can be combined if they are monotonic (meaning, never make the code worse, or at least, never undo a previous step. It's possible to run forward dataflow problems together repeatedly to a fixpoint. In TurboFan a general graph reduction algorithm is [1] instantiated with a number of reducers, and then a fixpoint is run. The technique of trying to combine multiple passes has been tried a number of times. What doesn't seem so obvious is how to run optimizations that are not traditional forward dataflow problems or are indeed backward dataflow problems (like DCE) together with other transformations. Generally compilers get tuned by running them on lots of different kinds of code, often benchmarks, and then tinkering with the order of passes and other heuristics like loop unroll factors, thresholds for inlining, etc, and seeing what works best.

[1]was? TurboFan seems to have splintered into a number of pieces being reused in different ways these days