diff --git a/compiler/rustc_const_eval/src/const_eval/eval_queries.rs b/compiler/rustc_const_eval/src/const_eval/eval_queries.rs
index 01625b91353b7..2556e57a58f33 100644
--- a/compiler/rustc_const_eval/src/const_eval/eval_queries.rs
+++ b/compiler/rustc_const_eval/src/const_eval/eval_queries.rs
@@ -454,11 +454,12 @@ fn report_eval_error<'tcx>(
             // FIXME(oli-obk): figure out how to use structured diagnostics again.
             diag.code(E0080);
             diag.span_label(span, crate::fluent_generated::const_eval_error);
-            diag.arg("instance", instance);
-            diag.arg("error_kind", kind);
             for frame in frames {
                 diag.subdiagnostic(frame);
             }
+            // Add after the frame rendering above, as it adds its own `instance` args.
+            diag.arg("instance", instance);
+            diag.arg("error_kind", kind);
         },
     )
 }
diff --git a/tests/ui/consts/miri_unleashed/assoc_const.stderr b/tests/ui/consts/miri_unleashed/assoc_const.stderr
index b6dcb86f360fd..e843615bd6de7 100644
--- a/tests/ui/consts/miri_unleashed/assoc_const.stderr
+++ b/tests/ui/consts/miri_unleashed/assoc_const.stderr
@@ -2,7 +2,7 @@ error[E0080]: calling non-const function `<Vec<u32> as Drop>::drop`
   --> $DIR/assoc_const.rs:12:31
    |
 LL |     const F: u32 = (U::X, 42).1;
-   |                               ^ evaluation of `drop_in_place::<Vec<u32>> - shim(Some(Vec<u32>))` failed here
+   |                               ^ evaluation of `<std::string::String as Bar<std::vec::Vec<u32>, std::string::String>>::F` failed here
    |
 note: inside `drop_in_place::<(Vec<u32>, u32)> - shim(Some((Vec<u32>, u32)))`
   --> $SRC_DIR/core/src/ptr/mod.rs:LL:COL
diff --git a/tests/ui/consts/uninhabited-const-issue-61744.rs b/tests/ui/consts/uninhabited-const-issue-61744.rs
index d33f9c268a51f..698245b5cb8ce 100644
--- a/tests/ui/consts/uninhabited-const-issue-61744.rs
+++ b/tests/ui/consts/uninhabited-const-issue-61744.rs
@@ -11,6 +11,7 @@ pub const unsafe fn hint_unreachable() -> ! {
 
 trait Const {
     const CONSTANT: i32 = unsafe { fake_type() }; //~ ERROR reached the configured maximum number of stack frames
+    //~^ NOTE evaluation of `<i32 as Const>::CONSTANT` failed here
 }
 
 impl<T> Const for T {}
diff --git a/tests/ui/consts/uninhabited-const-issue-61744.stderr b/tests/ui/consts/uninhabited-const-issue-61744.stderr
index 3c5b5196aebf8..f13f6126e9444 100644
--- a/tests/ui/consts/uninhabited-const-issue-61744.stderr
+++ b/tests/ui/consts/uninhabited-const-issue-61744.stderr
@@ -2,7 +2,7 @@ error[E0080]: reached the configured maximum number of stack frames
   --> $DIR/uninhabited-const-issue-61744.rs:13:36
    |
 LL |     const CONSTANT: i32 = unsafe { fake_type() };
-   |                                    ^^^^^^^^^^^ evaluation of `fake_type::<!>` failed here
+   |                                    ^^^^^^^^^^^ evaluation of `<i32 as Const>::CONSTANT` failed here
    |
 note: inside `fake_type::<i32>`
   --> $DIR/uninhabited-const-issue-61744.rs:5:5