diff --git a/cranelift/codegen/src/egraph/elaborate.rs b/cranelift/codegen/src/egraph/elaborate.rs
index 68f4238cfb..d52927ffea 100644
--- a/cranelift/codegen/src/egraph/elaborate.rs
+++ b/cranelift/codegen/src/egraph/elaborate.rs
@@ -278,6 +278,14 @@ impl<'a> Elaborator<'a> {
                         before
                     );
 
+                    // Get the best option; we use `value` (latest
+                    // value) here so we have a full view of the
+                    // eclass.
+                    trace!("looking up best value for {}", value);
+                    let (_, best_value) = self.value_to_best_value[value];
+                    debug_assert_ne!(best_value, Value::reserved_value());
+                    trace!("elaborate: value {} -> best {}", value, best_value);
+
                     let remat = if let Some(elab_val) =
                         self.value_to_elaborated_value.get(&canonical_value)
                     {
@@ -287,7 +295,7 @@ impl<'a> Elaborator<'a> {
                         // from another block. If so, ignore the hit
                         // and recompute below.
                         let remat = elab_val.in_block != self.cur_block
-                            && self.remat_values.contains(&canonical_value);
+                            && self.remat_values.contains(&best_value);
                         if !remat {
                             trace!("elaborate: value {} -> {:?}", value, elab_val);
                             self.stats.elaborate_memoize_hit += 1;
@@ -304,20 +312,12 @@ impl<'a> Elaborator<'a> {
                         // Value not available; but still look up
                         // whether it's been flagged for remat because
                         // this affects placement.
-                        let remat = self.remat_values.contains(&canonical_value);
+                        let remat = self.remat_values.contains(&best_value);
                         trace!(" -> not present in map; remat = {}", remat);
                         remat
                     };
                     self.stats.elaborate_memoize_miss += 1;
 
-                    // Get the best option; we use `value` (latest
-                    // value) here so we have a full view of the
-                    // eclass.
-                    trace!("looking up best value for {}", value);
-                    let (_, best_value) = self.value_to_best_value[value];
-                    debug_assert_ne!(best_value, Value::reserved_value());
-                    trace!("elaborate: value {} -> best {}", value, best_value,);
-
                     // Now resolve the value to its definition to see
                     // how we can compute it.
                     let (inst, result_idx) = match self.func.dfg.value_def(best_value) {
diff --git a/cranelift/filetests/filetests/egraph/issue-5716.clif b/cranelift/filetests/filetests/egraph/issue-5716.clif
new file mode 100644
index 0000000000..7763d3eac8
--- /dev/null
+++ b/cranelift/filetests/filetests/egraph/issue-5716.clif
@@ -0,0 +1,41 @@
+;; This tests that a call does not get rematerialized, even if a remat flag is
+;; set on a different node in its eclass.
+;;
+;; Below, `v97` is an add of `v238` (the call's first return value) and a
+;; constant 0; a mid-end rule rewrites this to just `v238` (i.e., `v97` is unioned
+;; in). Separately, a rule states that an add of a value and a constant always
+;; gets rematerialized at use. When `v97` is used in a later block, it would have
+;; rematerialized the add; except, if we instead use the result of the call
+;; directly, we should *not* remat the call. If we do, a compile error results
+;; later.
+
+test compile
+set opt_level=speed_and_size
+target aarch64
+
+function u0:33() system_v {
+ss0 = explicit_slot 32
+sig0 = (i64, i64, i64, i64, i64) -> i64, i64 system_v
+fn0 = colocated u0:0 sig0
+jt0 = jump_table [block36, block38]
+block0:
+  v80 = iconst.i32 0
+  v91 = iconst.i64 0
+  v92 = iconst.i64 0
+  v96 = iconst.i64 0
+  v235 = iconst.i64 0
+  v236 = iconst.i64 0
+  v237 = iconst.i64 0
+  v238, v239 = call fn0(v236, v237, v91, v92, v235) ; v236 = 0, v237 = 0, v91 = 0, v92 = 0, v235 = 0
+  v97 = iadd v238, v96 ; v96 = 0
+  br_table v80, block37, jt0 ; v80 = 0
+block36:
+  trap user0
+block37:
+  trap unreachable
+block38:
+  v98 = load.i8 notrap v97
+  v99 = fcvt_from_uint.f64 v98
+  stack_store v99, ss0
+  trap user0
+}