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[ty] Don't add identical lower/upper bounds multiple times when inferring specializations#22030

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dcreager merged 2 commits intomainfrom
dcreager/ty1968
Dec 17, 2025
Merged

[ty] Don't add identical lower/upper bounds multiple times when inferring specializations#22030
dcreager merged 2 commits intomainfrom
dcreager/ty1968

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@dcreager
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@dcreager dcreager commented Dec 17, 2025

When inferring a specialization of a Callable type, we use the new constraint set implementation. In the example in astral-sh/ty#1968, we end up with a constraint set that includes all of the following clauses:

     U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M1 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M2 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M3 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M4 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M5 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M6 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7
M7 ≤ U_co ≤ M1 | M2 | M3 | M4 | M5 | M6 | M7

In general, we take the upper bounds of those constraints to get the specialization. However, the upper bounds of those constraints are not all guaranteed to be the same, and so first we need to intersect them all together. In this case, the upper bounds are all identical, so their intersection is trivial:

U_co = M1 | M2 | M3 | M4 | M5 | M6 | M7

But we were still doing the work of calculating that trivial intersection 7 times. And each time we have to do 7^2 comparisons of the M* classes, ending up with O(n^3) overall work.

This pattern is common enough that we can put in a quick heuristic to prune identical copies of the same type before performing the intersection.

Fixes astral-sh/ty#1968

@dcreager dcreager requested a review from carljm as a code owner December 17, 2025 16:33
@dcreager dcreager added the performance Potential performance improvement label Dec 17, 2025
@dcreager dcreager added the ty Multi-file analysis & type inference label Dec 17, 2025
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astral-sh-bot bot commented Dec 17, 2025

Diagnostic diff on typing conformance tests

No changes detected when running ty on typing conformance tests ✅

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astral-sh-bot bot commented Dec 17, 2025

mypy_primer results

Changes were detected when running on open source projects
Tanjun (https://github.com/FasterSpeeding/Tanjun)
- tanjun/dependencies/data.py:347:12: error[invalid-return-type] Return type does not match returned value: expected `_T@cached_inject`, found `_T@cached_inject | Coroutine[Any, Any, _T@cached_inject | Coroutine[Any, Any, _T@cached_inject]]`
+ tanjun/dependencies/data.py:347:12: error[invalid-return-type] Return type does not match returned value: expected `_T@cached_inject`, found `Coroutine[Any, Any, _T@cached_inject | Coroutine[Any, Any, _T@cached_inject]] | _T@cached_inject`

prefect (https://github.com/PrefectHQ/prefect)
- src/integrations/prefect-dbt/prefect_dbt/core/settings.py:94:28: error[invalid-assignment] Object of type `dict[str, Any] | T@resolve_block_document_references` is not assignable to `dict[str, Any]`
+ src/integrations/prefect-dbt/prefect_dbt/core/settings.py:94:28: error[invalid-assignment] Object of type `dict[str, Any] | T@resolve_block_document_references | str | ... omitted 4 union elements` is not assignable to `dict[str, Any]`
- src/integrations/prefect-dbt/prefect_dbt/core/settings.py:99:28: error[invalid-assignment] Object of type `dict[str, Any] | T@resolve_variables` is not assignable to `dict[str, Any]`
+ src/integrations/prefect-dbt/prefect_dbt/core/settings.py:99:28: error[invalid-assignment] Object of type `dict[str, Any] | T@resolve_variables | str | ... omitted 4 union elements` is not assignable to `dict[str, Any]`
- src/prefect/cli/deploy/_core.py:86:21: error[invalid-assignment] Object of type `T@resolve_block_document_references | dict[str, Any]` is not assignable to `dict[str, Any]`
+ src/prefect/cli/deploy/_core.py:86:21: error[invalid-assignment] Object of type `T@resolve_block_document_references | dict[str, Any] | str | ... omitted 4 union elements` is not assignable to `dict[str, Any]`
- src/prefect/cli/deploy/_core.py:87:21: error[invalid-assignment] Object of type `T@resolve_variables` is not assignable to `dict[str, Any]`
+ src/prefect/cli/deploy/_core.py:87:21: error[invalid-assignment] Object of type `T@resolve_variables | str | int | ... omitted 4 union elements` is not assignable to `dict[str, Any]`
- src/prefect/deployments/steps/core.py:137:38: error[invalid-argument-type] Argument is incorrect: Expected `T@resolve_variables`, found `T@resolve_block_document_references | dict[str, Any]`
+ src/prefect/deployments/steps/core.py:137:38: error[invalid-argument-type] Argument is incorrect: Expected `T@resolve_variables`, found `T@resolve_block_document_references | dict[str, Any] | str | ... omitted 4 union elements`
- src/prefect/utilities/templating.py:320:13: error[invalid-assignment] Invalid subscript assignment with key of type `object` and value of type `T@resolve_block_document_references | dict[str, Any]` on object of type `dict[str, Any]`
+ src/prefect/utilities/templating.py:320:13: error[invalid-assignment] Invalid subscript assignment with key of type `object` and value of type `T@resolve_block_document_references | dict[str, Any] | str | ... omitted 4 union elements` on object of type `dict[str, Any]`
- src/prefect/utilities/templating.py:323:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_block_document_references | dict[str, Any]`, found `list[T@resolve_block_document_references | dict[str, Any] | Unknown]`
+ src/prefect/utilities/templating.py:323:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_block_document_references | dict[str, Any]`, found `list[T@resolve_block_document_references | dict[str, Any] | str | ... omitted 5 union elements]`
- src/prefect/utilities/templating.py:437:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_variables`, found `dict[object, T@resolve_variables | Unknown]`
+ src/prefect/utilities/templating.py:437:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_variables`, found `dict[object, T@resolve_variables | str | int | ... omitted 5 union elements]`
- src/prefect/utilities/templating.py:442:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_variables`, found `list[T@resolve_variables | Unknown]`
+ src/prefect/utilities/templating.py:442:16: error[invalid-return-type] Return type does not match returned value: expected `T@resolve_variables`, found `list[T@resolve_variables | str | int | ... omitted 5 union elements]`
- src/prefect/workers/base.py:228:13: error[invalid-argument-type] Argument is incorrect: Expected `T@resolve_variables`, found `T@resolve_block_document_references | dict[str, Any]`
+ src/prefect/workers/base.py:228:13: error[invalid-argument-type] Argument is incorrect: Expected `T@resolve_variables`, found `T@resolve_block_document_references | dict[str, Any] | str | ... omitted 4 union elements`
- src/prefect/workers/base.py:230:20: error[invalid-argument-type] Argument expression after ** must be a mapping type: Found `T@resolve_variables`
+ src/prefect/workers/base.py:230:20: error[invalid-argument-type] Argument expression after ** must be a mapping type: Found `T@resolve_variables | str | int | ... omitted 4 union elements`

scikit-build-core (https://github.com/scikit-build/scikit-build-core)
+ src/scikit_build_core/build/wheel.py:98:20: error[no-matching-overload] No overload of bound method `__init__` matches arguments
- Found 43 diagnostics
+ Found 44 diagnostics

static-frame (https://github.com/static-frame/static-frame)
- static_frame/core/bus.py:671:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemLocReduces[Bus[Any], object_]`, found `InterGetItemLocReduces[Bus[Any] | Top[Series[Any, Any]] | TypeBlocks | ... omitted 7 union elements, object_]`
+ static_frame/core/bus.py:671:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemLocReduces[Bus[Any], object_]`, found `InterGetItemLocReduces[Bus[Any] | Top[Index[Any]] | Top[Series[Any, Any]] | ... omitted 7 union elements, object_]`
- static_frame/core/series.py:772:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemILocReduces[Series[Any, Any], TVDtype@Series]`, found `InterGetItemILocReduces[Series[Any, Any], generic[object]]`
+ static_frame/core/series.py:772:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemILocReduces[Series[Any, Any], TVDtype@Series]`, found `InterGetItemILocReduces[Series[Any, Any] | TypeBlocks | Batch | ... omitted 6 union elements, generic[object]]`
- static_frame/core/series.py:4072:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemILocReduces[SeriesHE[Any, Any], TVDtype@SeriesHE]`, found `InterGetItemILocReduces[SeriesHE[Any, Any] | Top[Index[Any]] | TypeBlocks | ... omitted 7 union elements, generic[object]]`
+ static_frame/core/series.py:4072:16: error[invalid-return-type] Return type does not match returned value: expected `InterGetItemILocReduces[SeriesHE[Any, Any], TVDtype@SeriesHE]`, found `InterGetItemILocReduces[SeriesHE[Any, Any] | TypeBlocks | Batch | ... omitted 7 union elements, generic[object]]`

pandas-stubs (https://github.com/pandas-dev/pandas-stubs)
- tests/test_groupby.py:439:11: error[type-assertion-failure] Type `Series[Any]` does not match asserted type `Series[(str & Any) | (bytes & Any) | (int & Any) | ... omitted 12 union elements]`
+ tests/test_groupby.py:439:11: error[type-assertion-failure] Type `Series[Any]` does not match asserted type `Series[(Any & str) | (Any & bytes) | (Any & int) | ... omitted 12 union elements]`
- tests/test_resampler.py:402:11: error[type-assertion-failure] Type `Series[Any]` does not match asserted type `Series[(str & Any) | (bytes & Any) | (int & Any) | ... omitted 12 union elements]`
+ tests/test_resampler.py:402:11: error[type-assertion-failure] Type `Series[Any]` does not match asserted type `Series[(Any & str) | (Any & bytes) | (Any & int) | ... omitted 12 union elements]`

pydantic (https://github.com/pydantic/pydantic)
- pydantic/fields.py:943:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:943:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:983:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:983:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1026:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:1026:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1066:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:1066:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1109:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:1109:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1148:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:1148:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1188:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`
+ pydantic/fields.py:1188:5: error[invalid-parameter-default] Default value of type `PydanticUndefinedType` is not assignable to annotated parameter type `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`
- pydantic/fields.py:1567:13: error[invalid-argument-type] Argument is incorrect: Expected `dict[str, int | float | str | ... omitted 3 union elements] | ((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) | None`, found `Top[dict[Unknown, Unknown]] | (((dict[str, int | float | str | ... omitted 3 union elements], /) -> None) & ~Top[dict[Unknown, Unknown]]) | None`
+ pydantic/fields.py:1567:13: error[invalid-argument-type] Argument is incorrect: Expected `dict[str, Divergent] | ((dict[str, Divergent], /) -> None) | None`, found `Top[dict[Unknown, Unknown]] | (((dict[str, Divergent], /) -> None) & ~Top[dict[Unknown, Unknown]]) | None`

No memory usage changes detected ✅

@AlexWaygood
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Is it worth adding the snippet from astral-sh/ty#1968 (comment) as a regression test, since we obviously don't have coverage for that kind of pattern in mypy_primer? I guess the failure mode is pretty painful (tests just start timing out 😆), but we'd at least notice if we accidentally regressed on this

@dcreager
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Is it worth adding the snippet from astral-sh/ty#1968 (comment) as a regression test

Done

@dcreager dcreager merged commit b36ff75 into main Dec 17, 2025
42 checks passed
@dcreager dcreager deleted the dcreager/ty1968 branch December 17, 2025 18:35
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exponential runtime for some large unions

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