[docs] Update iree-compiler install instructions (#18861)

Instructions to install iree-runtime are provided separately.
diff --git a/docs/website/docs/guides/deployment-configurations/snippets/_iree-compiler-from-release.md b/docs/website/docs/guides/deployment-configurations/snippets/_iree-compiler-from-release.md
index ab793f2..d461d64 100644
--- a/docs/website/docs/guides/deployment-configurations/snippets/_iree-compiler-from-release.md
+++ b/docs/website/docs/guides/deployment-configurations/snippets/_iree-compiler-from-release.md
@@ -4,7 +4,7 @@
     [published to PyPI](https://pypi.org/user/google-iree-pypi-deploy/).
 
     ``` shell
-    python -m pip install iree-compiler iree-runtime
+    python -m pip install iree-compiler
     ```
 
 === ":material-alert: Nightly releases"
@@ -15,7 +15,7 @@
     ``` shell
     python -m pip install \
       --find-links https://iree.dev/pip-release-links.html \
-      --upgrade iree-compiler iree-runtime
+      --upgrade iree-compiler
     ```
 
 !!! tip