chore: logging cleanup (#1196)

Update what we log to make `RUST_LOG=debug` a bit easier to work with.
---
[//]: # (BEGIN SAPLING FOOTER)
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* #1167
* __->__ #1196

codex-rs/core/src/client.rs

@@ -117,8 +117,7 @@ impl ModelClient {
         let base_url = self.provider.base_url.clone();
         let base_url = base_url.trim_end_matches('/');
         let url = format!("{}/responses", base_url);
-        debug!(url, "POST");
+        trace!("POST to {url}: {}", serde_json::to_string(&payload)?);
-        trace!("request payload: {}", serde_json::to_string(&payload)?);
 
         let mut attempt = 0;
         loop {
@@ -303,6 +302,19 @@ where
                     };
                 };
             }
+            "response.content_part.done"
+            | "response.created"
+            | "response.function_call_arguments.delta"
+            | "response.in_progress"
+            | "response.output_item.added"
+            | "response.output_text.delta"
+            | "response.output_text.done"
+            | "response.reasoning_summary_part.added"
+            | "response.reasoning_summary_text.delta"
+            | "response.reasoning_summary_text.done" => {
+                // Currently, we ignore these events, but we handle them
+                // separately to skip the logging message in the `other` case.
+            }
             other => debug!(other, "sse event"),
         }
     }

codex-rs/core/src/openai_tools.rs

@@ -93,7 +93,6 @@ pub(crate) fn create_tools_json_for_responses_api(
             .map(|(name, tool)| mcp_tool_to_openai_tool(name, tool)),
     );
 
-    tracing::debug!("tools_json: {}", serde_json::to_string_pretty(&tools_json)?);
     Ok(tools_json)
 }