diff --git a/infer/src/backend/Differential.ml b/infer/src/backend/Differential.ml
index 8006020a2..bf9f1db1a 100644
--- a/infer/src/backend/Differential.ml
+++ b/infer/src/backend/Differential.ml
@@ -152,7 +152,7 @@ let issue_of_cost cost_info ~delta ~prev_cost ~curr_cost =
     if CostDomain.BasicCost.is_top curr_cost then IssueType.infinite_execution_time_call
     else if CostDomain.BasicCost.is_zero curr_cost then IssueType.zero_execution_time_call
     else if ExternalPerfData.in_profiler_data_map procname then
-      IssueType.performance_variation_critical_cold_start
+      IssueType.time_complexity_increase_cold_start
     else IssueType.performance_variation
   in
   let curr_degree_with_term = CostDomain.BasicCost.get_degree_with_term curr_cost in
@@ -174,14 +174,20 @@ let issue_of_cost cost_info ~delta ~prev_cost ~curr_cost =
         if Config.developer_mode then curr_cost_msg fmt ()
         else Format.fprintf fmt "Please make sure this is an expected change."
       in
+      let cold_start_msg =
+        if ExternalPerfData.in_profiler_data_map procname then
+          "This function is called during cold start. It is very important to avoid potential \
+           regressions in this phase."
+        else ""
+      in
       let prev_degree_with_term = CostDomain.BasicCost.get_degree_with_term prev_cost in
-      Format.asprintf "Complexity of this function has %a from %a to %a. %a"
+      Format.asprintf "Complexity of this function has %a from %a to %a. %s %a"
         (MarkupFormatter.wrap_bold pp_delta)
         delta
         (MarkupFormatter.wrap_monospaced (CostDomain.BasicCost.pp_degree ~only_bigO:true))
         prev_degree_with_term
         (MarkupFormatter.wrap_monospaced (CostDomain.BasicCost.pp_degree ~only_bigO:true))
-        curr_degree_with_term pp_extra_msg ()
+        curr_degree_with_term cold_start_msg pp_extra_msg ()
     in
     let line = cost_info.Jsonbug_t.loc.lnum in
     let column = cost_info.Jsonbug_t.loc.cnum in
diff --git a/infer/src/base/IssueType.ml b/infer/src/base/IssueType.ml
index 1f32e2f5c..f26ced994 100644
--- a/infer/src/base/IssueType.ml
+++ b/infer/src/base/IssueType.ml
@@ -347,8 +347,6 @@ let parameter_not_null_checked = from_string "PARAMETER_NOT_NULL_CHECKED"
 
 let performance_variation = from_string "PERFORMANCE_VARIATION"
 
-let performance_variation_critical_cold_start = from_string "PERFORMANCE_VARIATION_COLD_START"
-
 let pointer_size_mismatch = from_string "POINTER_SIZE_MISMATCH"
 
 let precondition_not_found = from_string "PRECONDITION_NOT_FOUND"
@@ -403,6 +401,8 @@ let tainted_memory_allocation = from_string "TAINTED_MEMORY_ALLOCATION"
 
 let thread_safety_violation = from_string "THREAD_SAFETY_VIOLATION"
 
+let time_complexity_increase_cold_start = from_string "TIME_COMPLEXITY_INCREASE_COLD_START"
+
 let unary_minus_applied_to_unsigned_expression =
   from_string ~enabled:false "UNARY_MINUS_APPLIED_TO_UNSIGNED_EXPRESSION"
 
diff --git a/infer/src/base/IssueType.mli b/infer/src/base/IssueType.mli
index 43661fa6a..cb61cc447 100644
--- a/infer/src/base/IssueType.mli
+++ b/infer/src/base/IssueType.mli
@@ -245,8 +245,6 @@ val parameter_not_null_checked : t
 
 val performance_variation : t
 
-val performance_variation_critical_cold_start : t
-
 val pointer_size_mismatch : t
 
 val precondition_not_found : t
@@ -299,6 +297,8 @@ val tainted_memory_allocation : t
 
 val thread_safety_violation : t
 
+val time_complexity_increase_cold_start : t
+
 val unary_minus_applied_to_unsigned_expression : t
 
 val uninitialized_value : t
diff --git a/infer/tests/build_systems/differential_of_costs_report/fixed.exp b/infer/tests/build_systems/differential_of_costs_report/fixed.exp
index b544aafc9..1eabb448c 100644
--- a/infer/tests/build_systems/differential_of_costs_report/fixed.exp
+++ b/infer/tests/build_systems/differential_of_costs_report/fixed.exp
@@ -1,2 +1,2 @@
 PERFORMANCE_VARIATION, no_bucket, src/DiffExample.java, DiffExample.f6(java.util.ArrayList):void, 0, [Updated Cost is 5 + list.length × log(list.length) (degree is 1 + 1⋅log),{list.length},call to void DiffExample.f5(ArrayList),Modeled call to List.length,{list.length},call to void DiffExample.f5(ArrayList),Modeled call to List.length]
-PERFORMANCE_VARIATION_COLD_START, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f6(java.util.ArrayList):void, 0, [Updated Cost is 5 + list.length × log(list.length) (degree is 1 + 1⋅log),{list.length},call to void DiffExampleColdStart.f5(ArrayList),Modeled call to List.length,{list.length},call to void DiffExampleColdStart.f5(ArrayList),Modeled call to List.length]
+TIME_COMPLEXITY_INCREASE_COLD_START, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f6(java.util.ArrayList):void, 0, [Updated Cost is 5 + list.length × log(list.length) (degree is 1 + 1⋅log),{list.length},call to void DiffExampleColdStart.f5(ArrayList),Modeled call to List.length,{list.length},call to void DiffExampleColdStart.f5(ArrayList),Modeled call to List.length]
diff --git a/infer/tests/build_systems/differential_of_costs_report/introduced.exp b/infer/tests/build_systems/differential_of_costs_report/introduced.exp
index 7e149c40b..45459b710 100644
--- a/infer/tests/build_systems/differential_of_costs_report/introduced.exp
+++ b/infer/tests/build_systems/differential_of_costs_report/introduced.exp
@@ -2,5 +2,5 @@ INFINITE_EXECUTION_TIME_CALL, no_bucket, src/DiffExample.java, DiffExample.f1(in
 PERFORMANCE_VARIATION, no_bucket, src/DiffExample.java, DiffExample.f4(int):int, 0, [Updated Cost is 6 + 5 ⋅ k (degree is 1),{k},Loop at line 45]
 PERFORMANCE_VARIATION, no_bucket, src/DiffExample.java, DiffExample.f5(java.util.ArrayList):void, 0, [Updated Cost is 2 + list.length × log(list.length) (degree is 1 + 1⋅log),{list.length},Modeled call to List.length,{list.length},Modeled call to List.length]
 INFINITE_EXECUTION_TIME_CALL, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f1(int):void, 0, [Unbounded loop,Loop at line 26]
-PERFORMANCE_VARIATION_COLD_START, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f4(int):int, 0, [Updated Cost is 6 + 5 ⋅ k (degree is 1),{k},Loop at line 45]
+TIME_COMPLEXITY_INCREASE_COLD_START, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f4(int):int, 0, [Updated Cost is 6 + 5 ⋅ k (degree is 1),{k},Loop at line 45]
 PERFORMANCE_VARIATION, no_bucket, src/DiffExampleColdStart.java, DiffExampleColdStart.f5(java.util.ArrayList):void, 0, [Updated Cost is 2 + list.length × log(list.length) (degree is 1 + 1⋅log),{list.length},Modeled call to List.length,{list.length},Modeled call to List.length]