diff --git a/lib/bandit/pipeline.ex b/lib/bandit/pipeline.ex
index 8d772595..1365c955 100644
--- a/lib/bandit/pipeline.ex
+++ b/lib/bandit/pipeline.ex
@@ -209,7 +209,15 @@ defmodule Bandit.Pipeline do
         ) :: {:ok, Bandit.HTTPTransport.t()} | {:error, term()}
   defp handle_error(:error, %Plug.Conn.WrapperError{} = error, _, transport, span, opts, metadata) do
     # Unwrap the inner error and handle it
-    handle_error(error.kind, error.reason, error.stack, transport, span, opts, metadata)
+    handle_error(
+      error.kind,
+      Exception.normalize(:error, error.reason, error.stack),
+      error.stack,
+      transport,
+      span,
+      opts,
+      metadata
+    )
   end
 
   defp handle_error(:error, %type{} = error, stacktrace, transport, span, opts, metadata)
diff --git a/test/bandit/http1/plug_test.exs b/test/bandit/http1/plug_test.exs
index d2973ca5..538dd925 100644
--- a/test/bandit/http1/plug_test.exs
+++ b/test/bandit/http1/plug_test.exs
@@ -112,7 +112,7 @@ defmodule HTTP1PlugTest do
       get "/" do
         # Quiet the compiler
         _ = conn
-        raise "boom"
+        1 = 0
       end
     end
 
@@ -134,9 +134,15 @@ defmodule HTTP1PlugTest do
       SimpleHTTP1Client.send(client, "GET", "/hello_world", ["host: banana"])
       assert SimpleHTTP1Client.connection_closed_for_reading?(client)
 
-      assert_receive {:log, %{level: :error, msg: {:string, msg}}}, 500
+      assert_receive {:log, %{level: :error, msg: {:string, msg}, meta: meta}}, 500
       refute msg =~ "(Plug.Conn.WrapperError)"
-      assert msg =~ "** (RuntimeError) boom"
+      assert msg =~ "** (MatchError)"
+
+      assert %{
+               domain: [:elixir, :bandit],
+               crash_reason: {%MatchError{}, [_ | _] = _stacktrace},
+               conn: %Plug.Conn{}
+             } = meta
     end
   end