diff --git a/src/stream/src/error.rs b/src/stream/src/error.rs
index 7aaffc7824d5..defefa7b474a 100644
--- a/src/stream/src/error.rs
+++ b/src/stream/src/error.rs
@@ -87,7 +87,7 @@ pub enum ErrorKind {
     },
 
     #[error(transparent)]
-    Internal(
+    Uncategorized(
         #[from]
         #[backtrace]
         anyhow::Error,
diff --git a/src/stream/src/executor/error.rs b/src/stream/src/executor/error.rs
index db70dcffa7fd..b1f411b2a4ec 100644
--- a/src/stream/src/executor/error.rs
+++ b/src/stream/src/executor/error.rs
@@ -113,7 +113,7 @@ pub enum ErrorKind {
     NotImplemented(#[from] NotImplemented),
 
     #[error(transparent)]
-    Internal(
+    Uncategorized(
         #[from]
         #[backtrace]
         anyhow::Error,
@@ -150,7 +150,7 @@ impl From<PbFieldNotFound> for StreamExecutorError {
 
 impl From<String> for StreamExecutorError {
     fn from(s: String) -> Self {
-        ErrorKind::Internal(anyhow::anyhow!(s)).into()
+        ErrorKind::Uncategorized(anyhow::anyhow!(s)).into()
     }
 }
 
diff --git a/src/stream/src/task/barrier_manager.rs b/src/stream/src/task/barrier_manager.rs
index 8e9778d82bb2..c5d564d9c6ab 100644
--- a/src/stream/src/task/barrier_manager.rs
+++ b/src/stream/src/task/barrier_manager.rs
@@ -888,12 +888,28 @@ impl LocalBarrierManager {
 pub fn try_find_root_actor_failure<'a>(
     actor_errors: impl IntoIterator<Item = &'a StreamError>,
 ) -> Option<StreamError> {
+    // Explicitly list all error kinds here to notice developers to update this function when
+    // there are changes in error kinds.
+
     fn stream_executor_error_score(e: &StreamExecutorError) -> i32 {
         use crate::executor::error::ErrorKind;
         match e.inner() {
-            ErrorKind::ChannelClosed(_) | ErrorKind::ExchangeChannelClosed(_) => 0,
-            ErrorKind::Internal(_) => 1,
-            _ => 999,
+            // `ChannelClosed` or `ExchangeChannelClosed` is likely to be caused by actor exit
+            // and not the root cause.
+            ErrorKind::ChannelClosed(_) | ErrorKind::ExchangeChannelClosed(_) => 1,
+
+            // Normal errors.
+            ErrorKind::Uncategorized(_)
+            | ErrorKind::Storage(_)
+            | ErrorKind::ArrayError(_)
+            | ErrorKind::ExprError(_)
+            | ErrorKind::SerdeError(_)
+            | ErrorKind::SinkError(_)
+            | ErrorKind::RpcError(_)
+            | ErrorKind::AlignBarrier(_, _)
+            | ErrorKind::ConnectorError(_)
+            | ErrorKind::DmlError(_)
+            | ErrorKind::NotImplemented(_) => 999,
         }
     }
 
@@ -903,9 +919,18 @@ pub fn try_find_root_actor_failure<'a>(
             // `UnexpectedExit` wraps the original error. Score on the inner error.
             ErrorKind::UnexpectedExit { source, .. } => stream_error_score(source),
 
-            ErrorKind::Internal(_) => 1000,
+            // `BarrierSend` is likely to be caused by actor exit and not the root cause.
+            ErrorKind::BarrierSend { .. } => 1,
+
+            // Executor errors first.
             ErrorKind::Executor(ee) => 2000 + stream_executor_error_score(ee),
-            _ => 3000,
+
+            // Then other errors.
+            ErrorKind::Uncategorized(_)
+            | ErrorKind::Storage(_)
+            | ErrorKind::Expression(_)
+            | ErrorKind::Array(_)
+            | ErrorKind::Sink(_) => 1000,
         }
     }