diff --git a/compiler/erg_common/error.rs b/compiler/erg_common/error.rs
index 3914b602..61fee15b 100644
--- a/compiler/erg_common/error.rs
+++ b/compiler/erg_common/error.rs
@@ -564,6 +564,19 @@ pub trait ErrorDisplay {
     }
 }
 
+#[macro_export]
+macro_rules! impl_display_and_error {
+    ($Strc: ident) => {
+        impl std::fmt::Display for $Strc {
+            fn fmt(&self, f: &mut std::fmt::Formatter<'_>) -> std::fmt::Result {
+                $crate::error::ErrorDisplay::format(self, f)
+            }
+        }
+
+        impl std::error::Error for $Strc {}
+    };
+}
+
 pub trait MultiErrorDisplay<Item: ErrorDisplay>: Stream<Item> {
     fn fmt_all_stderr(&self) {
         for err in self.iter() {
diff --git a/compiler/erg_compiler/error.rs b/compiler/erg_compiler/error.rs
index d9f353ff..02d903de 100644
--- a/compiler/erg_compiler/error.rs
+++ b/compiler/erg_compiler/error.rs
@@ -8,7 +8,10 @@ use erg_common::error::{ErrorCore, ErrorDisplay, ErrorKind::*, Location, MultiEr
 use erg_common::set::Set;
 use erg_common::traits::{Locational, Stream};
 use erg_common::vis::Visibility;
-use erg_common::{fmt_iter, fmt_option_map, fmt_vec, impl_stream_for_wrapper, switch_lang, Str};
+use erg_common::{
+    fmt_iter, fmt_option_map, fmt_vec, impl_display_and_error, impl_stream_for_wrapper,
+    switch_lang, Str,
+};
 
 use erg_parser::error::{ParserRunnerError, ParserRunnerErrors};
 
@@ -100,6 +103,8 @@ pub struct CompileError {
     pub caused_by: AtomicStr,
 }
 
+impl_display_and_error!(CompileError);
+
 impl From<ParserRunnerError> for CompileError {
     fn from(err: ParserRunnerError) -> Self {
         Self {
diff --git a/compiler/erg_parser/error.rs b/compiler/erg_parser/error.rs
index 07e7cbf9..e0696e5a 100644
--- a/compiler/erg_parser/error.rs
+++ b/compiler/erg_parser/error.rs
@@ -6,7 +6,7 @@ use erg_common::color::{RED, RESET};
 use erg_common::config::Input;
 use erg_common::error::{ErrorCore, ErrorDisplay, ErrorKind::*, Location, MultiErrorDisplay};
 use erg_common::traits::Stream;
-use erg_common::{impl_stream_for_wrapper, switch_lang};
+use erg_common::{impl_display_and_error, impl_stream_for_wrapper, switch_lang};
 
 #[derive(Debug)]
 pub struct LexError(ErrorCore);
@@ -144,6 +144,8 @@ pub struct ParserRunnerError {
     pub input: Input,
 }
 
+impl_display_and_error!(ParserRunnerError);
+
 impl ErrorDisplay for ParserRunnerError {
     fn core(&self) -> &ErrorCore {
         &self.core