internal: Use local time when formatting logs

When debugging rust-analyzer and looking at logs, it's much easier to read
when the timestamp is in the local timezone.

Before:

    2024-08-28T20:55:38.792321Z  INFO ParseQuery: invoked at R18460

After:

    2024-08-28T13:55:38.792321-07:00  INFO ParseQuery: invoked at R18460

Cargo.toml

@@ -153,6 +153,9 @@ tracing-tree = "0.3.0"
 tracing-subscriber = { version = "0.3.18", default-features = false, features = [
   "registry",
   "fmt",
+  "local-time",
+  "std",
+  "time",
   "tracing-log",
 ] }
 triomphe = { version = "0.1.10", default-features = false, features = ["std"] }

crates/rust-analyzer/src/tracing/config.rs

@@ -7,7 +7,7 @@ use anyhow::Context;
 use tracing::level_filters::LevelFilter;
 use tracing_subscriber::{
     filter::{filter_fn, Targets},
-    fmt::MakeWriter,
+    fmt::{time, MakeWriter},
     layer::SubscriberExt,
     Layer, Registry,
 };
@@ -58,6 +58,10 @@ where
         let writer = self.writer;
 
         let ra_fmt_layer = tracing_subscriber::fmt::layer()
+            .with_timer(
+                time::OffsetTime::local_rfc_3339()
+                    .expect("Could not get local offset, make sure you're on the main thread"),
+            )
             .with_target(false)
             .with_ansi(false)
             .with_writer(writer)