diff --git a/libcxx/include/__utility/cmp.h b/libcxx/include/__utility/cmp.h
index 14dc0c154c040..68864e23e0397 100644
--- a/libcxx/include/__utility/cmp.h
+++ b/libcxx/include/__utility/cmp.h
@@ -26,10 +26,18 @@ _LIBCPP_BEGIN_NAMESPACE_STD
 
 #if _LIBCPP_STD_VER >= 20
 
+template <typename _Tp, typename _Ip>
+concept __comparison_can_promote_to =
+    sizeof(_Tp) < sizeof(_Ip) || (sizeof(_Tp) == sizeof(_Ip) && __signed_integer<_Tp>);
+
 template <__signed_or_unsigned_integer _Tp, __signed_or_unsigned_integer _Up>
 _LIBCPP_HIDE_FROM_ABI constexpr bool cmp_equal(_Tp __t, _Up __u) noexcept {
   if constexpr (is_signed_v<_Tp> == is_signed_v<_Up>)
     return __t == __u;
+  else if constexpr (__comparison_can_promote_to<_Tp, int> && __comparison_can_promote_to<_Up, int>)
+    return static_cast<int>(__t) == static_cast<int>(__u);
+  else if constexpr (__comparison_can_promote_to<_Tp, long long> && __comparison_can_promote_to<_Up, long long>)
+    return static_cast<long long>(__t) == static_cast<long long>(__u);
   else if constexpr (is_signed_v<_Tp>)
     return __t < 0 ? false : make_unsigned_t<_Tp>(__t) == __u;
   else
@@ -45,6 +53,10 @@ template <__signed_or_unsigned_integer _Tp, __signed_or_unsigned_integer _Up>
 _LIBCPP_HIDE_FROM_ABI constexpr bool cmp_less(_Tp __t, _Up __u) noexcept {
   if constexpr (is_signed_v<_Tp> == is_signed_v<_Up>)
     return __t < __u;
+  else if constexpr (__comparison_can_promote_to<_Tp, int> && __comparison_can_promote_to<_Up, int>)
+    return static_cast<int>(__t) < static_cast<int>(__u);
+  else if constexpr (__comparison_can_promote_to<_Tp, long long> && __comparison_can_promote_to<_Up, long long>)
+    return static_cast<long long>(__t) < static_cast<long long>(__u);
   else if constexpr (is_signed_v<_Tp>)
     return __t < 0 ? true : make_unsigned_t<_Tp>(__t) < __u;
   else
diff --git a/libcxx/test/benchmarks/utility/cmp.bench.cpp b/libcxx/test/benchmarks/utility/cmp.bench.cpp
new file mode 100644
index 0000000000000..1ed179ac4e38c
--- /dev/null
+++ b/libcxx/test/benchmarks/utility/cmp.bench.cpp
@@ -0,0 +1,139 @@
+//===----------------------------------------------------------------------===//
+//
+// Part of the LLVM Project, under the Apache License v2.0 with LLVM Exceptions.
+// See https://llvm.org/LICENSE.txt for license information.
+// SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
+//
+//===----------------------------------------------------------------------===//
+
+// UNSUPPORTED: c++03, c++11, c++14, c++17
+
+#include <utility>
+#include "../CartesianBenchmarks.h"
+#include "benchmark/benchmark.h"
+
+namespace {
+
+enum ValueType : size_t {
+  SChar,
+  UChar,
+  Short,
+  UShort,
+  Int,
+  UInt,
+  Long,
+  ULong,
+  LongLong,
+  ULongLong,
+#ifndef TEST_HAS_NO_INT128
+  Int128,
+  UInt128,
+#endif
+};
+
+struct AllValueTypes : EnumValuesAsTuple<AllValueTypes, ValueType, 6> {
+  static constexpr const char* Names[] = {
+      "schar",
+      "uchar",
+      "short",
+      "ushort",
+      "int",
+      "uint",
+      "long",
+      "ulong",
+      "longlong",
+      "ulonglong",
+#ifndef TEST_HAS_NO_INT128
+      "int128",
+      "uint128"
+#endif
+  };
+};
+
+using TestType =
+    std::tuple< signed char,
+                unsigned char,
+                short,
+                unsigned short,
+                int,
+                unsigned int,
+                long,
+                unsigned long,
+                long long,
+                unsigned long long
+#ifndef TEST_HAS_NO_INT128
+                ,
+                __int128_t,
+                __uint128_t
+#endif
+                >;
+
+template <typename TType, typename UType>
+struct CmpEqual {
+  static void run(benchmark::State& state) {
+    using T = std::tuple_element_t<TType::value, TestType>;
+    using U = std::tuple_element_t<UType::value, TestType>;
+
+    T x1 = T{127}, x2 = T{111};
+    U y1 = U{123}, y2 = U{1};
+    for (auto _ : state) {
+      benchmark::DoNotOptimize(x1);
+      benchmark::DoNotOptimize(x2);
+      benchmark::DoNotOptimize(y1);
+      benchmark::DoNotOptimize(y2);
+      benchmark::DoNotOptimize(std::cmp_equal(x1, y1));
+      benchmark::DoNotOptimize(std::cmp_equal(y1, x1));
+      benchmark::DoNotOptimize(std::cmp_equal(x1, x1));
+      benchmark::DoNotOptimize(std::cmp_equal(y1, y1));
+
+      benchmark::DoNotOptimize(std::cmp_equal(x2, y2));
+      benchmark::DoNotOptimize(std::cmp_equal(y2, x2));
+      benchmark::DoNotOptimize(std::cmp_equal(x2, x2));
+      benchmark::DoNotOptimize(std::cmp_equal(y2, y2));
+    }
+  }
+
+  static std::string name() { return "BM_CmpEqual" + TType::name() + UType::name(); }
+};
+
+template <typename TType, typename UType>
+struct CmpLess {
+  static void run(benchmark::State& state) {
+    using T = std::tuple_element_t<TType::value, TestType>;
+    using U = std::tuple_element_t<UType::value, TestType>;
+
+    T x1 = T{127}, x2 = T{111};
+    U y1 = U{123}, y2 = U{1};
+    for (auto _ : state) {
+      benchmark::DoNotOptimize(x1);
+      benchmark::DoNotOptimize(x2);
+      benchmark::DoNotOptimize(y1);
+      benchmark::DoNotOptimize(y2);
+      benchmark::DoNotOptimize(std::cmp_less(x1, y1));
+      benchmark::DoNotOptimize(std::cmp_less(y1, x1));
+      benchmark::DoNotOptimize(std::cmp_less(x1, x1));
+      benchmark::DoNotOptimize(std::cmp_less(y1, y1));
+
+      benchmark::DoNotOptimize(std::cmp_less(x2, y2));
+      benchmark::DoNotOptimize(std::cmp_less(y2, x2));
+      benchmark::DoNotOptimize(std::cmp_less(x2, x2));
+      benchmark::DoNotOptimize(std::cmp_less(y2, y2));
+    }
+  }
+
+  static std::string name() { return "BM_CmpLess" + TType::name() + UType::name(); }
+};
+
+} // namespace
+
+int main(int argc, char** argv) {
+  benchmark::Initialize(&argc, argv);
+  if (benchmark::ReportUnrecognizedArguments(argc, argv))
+    return 1;
+
+  makeCartesianProductBenchmark<CmpEqual, AllValueTypes, AllValueTypes>();
+  makeCartesianProductBenchmark<CmpLess, AllValueTypes, AllValueTypes>();
+  benchmark::RunSpecifiedBenchmarks();
+
+  return 0;
+}