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next-solver: document caching (#1923)
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src/SUMMARY.md

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- [The solver](./solve/the-solver.md)
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- [Canonicalization](./solve/canonicalization.md)
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- [Coinduction](./solve/coinduction.md)
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- [Caching](./solve/caching.md)
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- [Proof trees](./solve/proof-trees.md)
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- [Normalization](./solve/normalization.md)
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- [Opaque types](./solve/opaque-types.md)

src/solve/caching.md

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# Caching in the new trait solver
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Caching results of the trait solver is necessary for performance.
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We have to make sure that it is sound. Caching is handled by the
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[`SearchGraph`]
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[`SearchGraph`]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L102-L117
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## The global cache
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At its core, the cache is fairly straightforward. When evaluating a goal, we
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check whether it's in the global cache. If so, we reuse that entry. If not, we
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compute the goal and then store its result in the cache.
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To handle incremental compilation the computation of a goal happens inside of
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[`DepGraph::with_anon_task`] which creates a new `DepNode` which depends on all queries
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used inside of this computation. When accessing the global cache we then read this
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`DepNode`, manually adding a dependency edge to all the queries used: [source][wdn].
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### Dealing with overflow
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Hitting the recursion limit is not fatal in the new trait solver but instead simply
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causes it to return ambiguity: [source][overflow]. Whether we hit the recursion limit
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can therefore change the result without resulting in a compilation failure. This
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means we must consider the remaining available depth when accessing a cache result.
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We do this by storing more information in the cache entry. For goals whose evaluation
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did not reach the recursion limit, we simply store its reached depth: [source][req-depth].
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These results can freely be used as long as the current `available_depth` is higher than
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its `reached_depth`: [source][req-depth-ck]. We then update the reached depth of the
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current goal to make sure that whether we've used the global cache entry is not
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observable: [source][update-depth].
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For goals which reach the recursion limit we currently only use the cached result if the
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available depth *exactly matches* the depth of the entry. The cache entry for each goal
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therefore contains a separate result for each remaining depth: [source][rem-depth].[^1]
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## Handling cycles
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The trait solver has to support cycles. These cycles are either inductive or coinductive,
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depending on the participating goals. See the [chapter on coinduction] for more details.
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We distinguish between the cycle heads and the cycle root: a stack entry is a
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cycle head if it recursively accessed. The *root* is the deepest goal on the stack which
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is involved in any cycle. Given the following dependency tree, `A` and `B` are both cycle
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heads, while only `A` is a root.
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```mermaid
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graph TB
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A --> B
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B --> C
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C --> B
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C --> A
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```
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The result of cycle participants depends on the result of goals still on the stack.
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However, we are currently computing that result, so its result is still unknown. This is
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handled by evaluating cycle heads until we reach a fixpoint. In the first iteration, we
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return either success or overflow with no constraints, depending on whether the cycle is
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coinductive: [source][initial-prov-result]. After evaluating the head of a cycle, we
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check whether its [`provisional_result`] is equal to the result of this iteration. If so,
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we've finished evaluating this cycle and return its result. If not, we update the provisional
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result and reevaluate the goal: [source][fixpoint]. After the first iteration it does not
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matter whether cycles are coinductive or inductive. We always use the provisional result.
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### Only caching cycle roots
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We cannot move the result of any cycle participant to the global cache until we've
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finished evaluating the cycle root. However, even after we've completely evaluated the
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cycle, we are still forced to discard the result of all participants apart from the root
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itself.
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We track the query dependencies of all global cache entries. This causes the caching of
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cycle participants to be non-trivial. We cannot simply reuse the `DepNode` of the cycle
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root.[^2] If we have a cycle `A -> B -> A`, then the `DepNode` for `A` contains a dependency
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from `A -> B`. Reusing this entry for `B` may break if the source is changed. The `B -> A`
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edge may not exist anymore and `A` may have been completely removed. This can easily result
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in an ICE.
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However, it's even worse as the result of a cycle can change depending on which goal is
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the root: [example][unstable-result-ex]. This forces us to weaken caching even further.
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We must not use a cache entry of a cycle root, if there exists a stack entry, which was
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a participant of its cycle involving that root. We do this by storing all cycle participants
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of a given root in its global cache entry and checking that it contains no element of the
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stack: [source][cycle-participants].
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### The provisional cache
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TODO: write this :3
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- stack dependence of provisional results
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- edge case: provisional cache impacts behavior
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[`with_anon_task`]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L391
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[wdn]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_middle/src/traits/solve/cache.rs#L78
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[overflow]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L276
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[req-depth]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_middle/src/traits/solve/cache.rs#L102
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[req-depth-ck]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_middle/src/traits/solve/cache.rs#L76-L86
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[update-depth]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L308
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[rem-depth]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_middle/src/traits/solve/cache.rs#L124
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[^1]: This is overly restrictive: if all nested goal return the overflow response with some
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availabledepth `n`, then their result should be the same for any depths smaller than `n`.
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We can implement this optimization in the future.
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[chapter on coinduction]: ./coinduction.md
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[`provisional_result`]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L57
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[initial-prov-result]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L366-L370
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[fixpoint]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_trait_selection/src/solve/search_graph.rs#L425-L446
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[^2]: summarizing the relevant [zulip thread]
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[zulip thread]: https://rust-lang.zulipchat.com/#narrow/stream/364551-t-types.2Ftrait-system-refactor/topic/global.20cache
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[unstable-result-ex]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/tests/ui/traits/next-solver/cycles/coinduction/incompleteness-unstable-result.rs#L4-L16
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[cycle-participants]: https://github.com/rust-lang/rust/blob/7606c13961ddc1174b70638e934df0439b7dc515/compiler/rustc_middle/src/traits/solve/cache.rs#L72-L74

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