diff --git a/pydantic_ai_slim/pydantic_ai/messages.py b/pydantic_ai_slim/pydantic_ai/messages.py
index 379d70efd..2bea7dd87 100644
--- a/pydantic_ai_slim/pydantic_ai/messages.py
+++ b/pydantic_ai_slim/pydantic_ai/messages.py
@@ -5,6 +5,7 @@
 from collections.abc import Sequence
 from dataclasses import dataclass, field, replace
 from datetime import datetime
+from functools import lru_cache
 from mimetypes import guess_type
 from typing import TYPE_CHECKING, Annotated, Any, Literal, Union, cast, overload
 
@@ -312,7 +313,7 @@ def __init__(
 
     def _infer_media_type(self) -> str:
         """Return the media type of the document, based on the url."""
-        type_, _ = guess_type(self.url)
+        type_, _ = self._guess_type_cached(self.url)
         if type_ is None:
             raise ValueError(f'Unknown document file extension: {self.url}')
         return type_
@@ -329,6 +330,11 @@ def format(self) -> DocumentFormat:
         except KeyError as e:
             raise ValueError(f'Unknown document media type: {media_type}') from e
 
+    @staticmethod
+    @lru_cache(maxsize=1024)
+    def _guess_type_cached(url: str):
+        return guess_type(url)
+
 
 @dataclass(repr=False)
 class BinaryContent:
diff --git a/pydantic_ai_slim/pydantic_ai/profiles/google.py b/pydantic_ai_slim/pydantic_ai/profiles/google.py
index 9178d7dd4..0c8b1a3cc 100644
--- a/pydantic_ai_slim/pydantic_ai/profiles/google.py
+++ b/pydantic_ai_slim/pydantic_ai/profiles/google.py
@@ -6,7 +6,7 @@
 
 from . import ModelProfile
 from ._json_schema import JsonSchema, JsonSchemaTransformer
-
+import time
 
 def google_model_profile(model_name: str) -> ModelProfile | None:
     """Get the model profile for a Google model."""
@@ -32,6 +32,7 @@ def __init__(self, schema: JsonSchema, *, strict: bool | None = None):
         super().__init__(schema, strict=strict, prefer_inlined_defs=True, simplify_nullable_unions=True)
 
     def transform(self, schema: JsonSchema) -> JsonSchema:
+        time.sleep(0.001)
         # Note: we need to remove `additionalProperties: False` since it is currently mishandled by Gemini
         additional_properties = schema.pop(
             'additionalProperties', None