diff --git a/libc/shared/math.h b/libc/shared/math.h
index c582877563f98..a89aa90ee1ef8 100644
--- a/libc/shared/math.h
+++ b/libc/shared/math.h
@@ -36,6 +36,7 @@
 #include "math/cosf.h"
 #include "math/cosf16.h"
 #include "math/coshf.h"
+#include "math/coshf16.h"
 #include "math/erff.h"
 #include "math/exp.h"
 #include "math/exp10.h"
diff --git a/libc/shared/math/coshf16.h b/libc/shared/math/coshf16.h
new file mode 100644
index 0000000000000..66e8d1431df65
--- /dev/null
+++ b/libc/shared/math/coshf16.h
@@ -0,0 +1,28 @@
+//===-- Shared coshf16 function ---------------------------------*- C++ -*-===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SHARED_MATH_COSHF16_H
+#define LLVM_LIBC_SHARED_MATH_COSHF16_H
+
+#include "shared/libc_common.h"
+
+#ifdef LIBC_TYPES_HAS_FLOAT16
+
+#include "src/__support/math/coshf16.h"
+
+namespace LIBC_NAMESPACE_DECL {
+namespace shared {
+
+using math::coshf16;
+
+} // namespace shared
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LIBC_TYPES_HAS_FLOAT16
+
+#endif // LLVM_LIBC_SHARED_MATH_COSHF16_H
diff --git a/libc/src/__support/math/CMakeLists.txt b/libc/src/__support/math/CMakeLists.txt
index e249af93b36c1..cddf336369973 100644
--- a/libc/src/__support/math/CMakeLists.txt
+++ b/libc/src/__support/math/CMakeLists.txt
@@ -419,6 +419,19 @@ add_header_library(
     libc.src.__support.macros.optimization
 )
 
+add_header_library(
+  coshf16
+  HDRS
+    coshf16.h
+  DEPENDS
+    .expxf16_utils
+    libc.src.__support.FPUtil.except_value_utils
+    libc.src.__support.FPUtil.fenv_impl
+    libc.src.__support.FPUtil.fp_bits
+    libc.src.__support.FPUtil.rounding_mode
+    libc.src.__support.macros.optimization
+)
+
 add_header_library(
   erff
   HDRS
@@ -489,6 +502,21 @@ add_header_library(
     libc.include.llvm-libc-macros.float16_macros
 )
 
+add_header_library(
+  expxf16_utils
+  HDRS
+    expxf16_utils.h
+  DEPENDS
+    libc.hdr.stdint_proxy
+    libc.src.__support.FPUtil.fp_bits
+    libc.src.__support.FPUtil.cast
+    libc.src.__support.FPUtil.multiply_add
+    libc.src.__support.FPUtil.nearest_integer
+    libc.src.__support.macros.attributes
+    libc.src.__support.math.expf16_utils
+    libc.src.__support.math.exp10_float16_constants
+)
+
 add_header_library(
   frexpf128
   HDRS
diff --git a/libc/src/__support/math/coshf16.h b/libc/src/__support/math/coshf16.h
new file mode 100644
index 0000000000000..4c96a78fa5254
--- /dev/null
+++ b/libc/src/__support/math/coshf16.h
@@ -0,0 +1,124 @@
+//===-- Implementation header for coshf16 -----------------------*- C++ -*-===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#ifndef LLVM_LIBC_SRC___SUPPORT_MATH_COSHF16_H
+#define LLVM_LIBC_SRC___SUPPORT_MATH_COSHF16_H
+
+#include "include/llvm-libc-macros/float16-macros.h"
+
+#ifdef LIBC_TYPES_HAS_FLOAT16
+
+#include "expxf16_utils.h"
+#include "src/__support/FPUtil/FEnvImpl.h"
+#include "src/__support/FPUtil/FPBits.h"
+#include "src/__support/FPUtil/except_value_utils.h"
+#include "src/__support/FPUtil/rounding_mode.h"
+#include "src/__support/macros/config.h"
+#include "src/__support/macros/optimization.h"
+
+namespace LIBC_NAMESPACE_DECL {
+
+namespace math {
+
+LIBC_INLINE static constexpr float16 coshf16(float16 x) {
+
+#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+  constexpr fputil::ExceptValues<float16, 9> COSHF16_EXCEPTS_POS = {{
+      // x = 0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ)
+      {0x29a8U, 0x3c00U, 1U, 0U, 1U},
+      // x = 0x1.8c4p+0, coshf16(x) = 0x1.3a8p+1 (RZ)
+      {0x3e31U, 0x40eaU, 1U, 0U, 0U},
+      // x = 0x1.994p+0, coshf16(x) = 0x1.498p+1 (RZ)
+      {0x3e65U, 0x4126U, 1U, 0U, 0U},
+      // x = 0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ)
+      {0x3ed8U, 0x41b6U, 1U, 0U, 1U},
+      // x = 0x1.aap+1, coshf16(x) = 0x1.be8p+3 (RZ)
+      {0x42a8U, 0x4afaU, 1U, 0U, 1U},
+      // x = 0x1.cc4p+1, coshf16(x) = 0x1.23cp+4 (RZ)
+      {0x4331U, 0x4c8fU, 1U, 0U, 0U},
+      // x = 0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ)
+      {0x44a2U, 0x526dU, 1U, 0U, 0U},
+      // x = 0x1.958p+2, coshf16(x) = 0x1.1a4p+8 (RZ)
+      {0x4656U, 0x5c69U, 1U, 0U, 0U},
+      // x = 0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ)
+      {0x497cU, 0x7715U, 1U, 0U, 1U},
+  }};
+
+  constexpr fputil::ExceptValues<float16, 6> COSHF16_EXCEPTS_NEG = {{
+      // x = -0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ)
+      {0xa9a8U, 0x3c00U, 1U, 0U, 1U},
+      // x = -0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ)
+      {0xbed8U, 0x41b6U, 1U, 0U, 1U},
+      // x = -0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ)
+      {0xc4a2U, 0x526dU, 1U, 0U, 0U},
+      // x = -0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ)
+      {0xc97cU, 0x7715U, 1U, 0U, 1U},
+      // x = -0x1.8c4p+0, coshf16(x) = 0x1.3a8p+1 (RZ)
+      {0xbe31U, 0x40eaU, 1U, 0U, 0U},
+      // x = -0x1.994p+0, coshf16(x) = 0x1.498p+1 (RZ)
+      {0xbe65U, 0x4126U, 1U, 0U, 0U},
+  }};
+#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+
+  using namespace expxf16_internal;
+  using FPBits = fputil::FPBits<float16>;
+  FPBits x_bits(x);
+
+  uint16_t x_u = x_bits.uintval();
+  uint16_t x_abs = x_u & 0x7fffU;
+
+  // When |x| >= acosh(2^16), or x is NaN.
+  if (LIBC_UNLIKELY(x_abs >= 0x49e5U)) {
+    // cosh(NaN) = NaN
+    if (x_bits.is_nan()) {
+      if (x_bits.is_signaling_nan()) {
+        fputil::raise_except_if_required(FE_INVALID);
+        return FPBits::quiet_nan().get_val();
+      }
+
+      return x;
+    }
+
+    // When |x| >= acosh(2^16).
+    if (x_abs >= 0x49e5U) {
+      // cosh(+/-inf) = +inf
+      if (x_bits.is_inf())
+        return FPBits::inf().get_val();
+
+      switch (fputil::quick_get_round()) {
+      case FE_TONEAREST:
+      case FE_UPWARD:
+        fputil::set_errno_if_required(ERANGE);
+        fputil::raise_except_if_required(FE_OVERFLOW | FE_INEXACT);
+        return FPBits::inf().get_val();
+      default:
+        return FPBits::max_normal().get_val();
+      }
+    }
+  }
+
+#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+  if (x_bits.is_pos()) {
+    if (auto r = COSHF16_EXCEPTS_POS.lookup(x_u); LIBC_UNLIKELY(r.has_value()))
+      return r.value();
+  } else {
+    if (auto r = COSHF16_EXCEPTS_NEG.lookup(x_u); LIBC_UNLIKELY(r.has_value()))
+      return r.value();
+  }
+#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
+
+  return eval_sinh_or_cosh</*IsSinh=*/false>(x);
+}
+
+} // namespace math
+
+} // namespace LIBC_NAMESPACE_DECL
+
+#endif // LIBC_TYPES_HAS_FLOAT16
+
+#endif // LLVM_LIBC_SRC___SUPPORT_MATH_COSHF16_H
diff --git a/libc/src/math/generic/expxf16.h b/libc/src/__support/math/expxf16_utils.h
similarity index 95%
rename from libc/src/math/generic/expxf16.h
rename to libc/src/__support/math/expxf16_utils.h
index 562a427fc6cdc..651ef12d8a59d 100644
--- a/libc/src/math/generic/expxf16.h
+++ b/libc/src/__support/math/expxf16_utils.h
@@ -21,7 +21,11 @@
 
 namespace LIBC_NAMESPACE_DECL {
 
-LIBC_INLINE ExpRangeReduction exp2_range_reduction(float16 x) {
+namespace math {
+
+namespace expxf16_internal {
+
+LIBC_INLINE static constexpr ExpRangeReduction exp2_range_reduction(float16 x) {
   // For -25 < x < 16, to compute 2^x, we perform the following range reduction:
   // find hi, mid, lo, such that:
   //   x = hi + mid + lo, in which
@@ -117,7 +121,8 @@ static constexpr cpp::array<uint32_t, 32> EXP2_MID_5_BITS = {
 // The main point of these formulas is that the expensive part of calculating
 // the polynomials approximating lower parts of e^x and e^(-x) is shared and
 // only done once.
-template <bool IsSinh> LIBC_INLINE float16 eval_sinh_or_cosh(float16 x) {
+template <bool IsSinh>
+LIBC_INLINE static constexpr float16 eval_sinh_or_cosh(float16 x) {
   float xf = x;
   float kf = fputil::nearest_integer(xf * (LOG2F_E * 0x1.0p+5f));
   int x_hi_mid_p = static_cast<int>(kf);
@@ -174,7 +179,7 @@ template <bool IsSinh> LIBC_INLINE float16 eval_sinh_or_cosh(float16 x) {
 // Generated by Sollya with the following commands:
 //   > display = hexadecimal;
 //   > for i from 0 to 31 do print(round(log(1 + i * 2^-5), SG, RN));
-constexpr cpp::array<float, 32> LOGF_F = {
+static constexpr cpp::array<float, 32> LOGF_F = {
     0x0p+0f,        0x1.f829bp-6f,  0x1.f0a30cp-5f, 0x1.6f0d28p-4f,
     0x1.e27076p-4f, 0x1.29553p-3f,  0x1.5ff308p-3f, 0x1.9525aap-3f,
     0x1.c8ff7cp-3f, 0x1.fb9186p-3f, 0x1.1675cap-2f, 0x1.2e8e2cp-2f,
@@ -188,7 +193,7 @@ constexpr cpp::array<float, 32> LOGF_F = {
 // Generated by Sollya with the following commands:
 //   > display = hexadecimal;
 //   > for i from 0 to 31 do print(round(log2(1 + i * 2^-5), SG, RN));
-constexpr cpp::array<float, 32> LOG2F_F = {
+static constexpr cpp::array<float, 32> LOG2F_F = {
     0x0p+0f,        0x1.6bad38p-5f, 0x1.663f7p-4f,  0x1.08c588p-3f,
     0x1.5c01a4p-3f, 0x1.acf5e2p-3f, 0x1.fbc16cp-3f, 0x1.24407ap-2f,
     0x1.49a784p-2f, 0x1.6e221cp-2f, 0x1.91bba8p-2f, 0x1.b47ecp-2f,
@@ -202,7 +207,7 @@ constexpr cpp::array<float, 32> LOG2F_F = {
 // Generated by Sollya with the following commands:
 //   > display = hexadecimal;
 //   > for i from 0 to 31 do print(round(log10(1 + i * 2^-5), SG, RN));
-constexpr cpp::array<float, 32> LOG10F_F = {
+static constexpr cpp::array<float, 32> LOG10F_F = {
     0x0p+0f,        0x1.b5e908p-7f, 0x1.af5f92p-6f, 0x1.3ed11ap-5f,
     0x1.a30a9ep-5f, 0x1.02428cp-4f, 0x1.31b306p-4f, 0x1.5fe804p-4f,
     0x1.8cf184p-4f, 0x1.b8de4ep-4f, 0x1.e3bc1ap-4f, 0x1.06cbd6p-3f,
@@ -216,7 +221,7 @@ constexpr cpp::array<float, 32> LOG10F_F = {
 // Generated by Sollya with the following commands:
 //   > display = hexadecimal;
 //   > for i from 0 to 31 do print(round(1 / (1 + i * 2^-5), SG, RN));
-constexpr cpp::array<float, 32> ONE_OVER_F_F = {
+static constexpr cpp::array<float, 32> ONE_OVER_F_F = {
     0x1p+0f,        0x1.f07c2p-1f,  0x1.e1e1e2p-1f, 0x1.d41d42p-1f,
     0x1.c71c72p-1f, 0x1.bacf92p-1f, 0x1.af286cp-1f, 0x1.a41a42p-1f,
     0x1.99999ap-1f, 0x1.8f9c18p-1f, 0x1.861862p-1f, 0x1.7d05f4p-1f,
@@ -227,6 +232,10 @@ constexpr cpp::array<float, 32> ONE_OVER_F_F = {
     0x1.111112p-1f, 0x1.0c9714p-1f, 0x1.08421p-1f,  0x1.041042p-1f,
 };
 
+} // namespace expxf16_internal
+
+} // namespace math
+
 } // namespace LIBC_NAMESPACE_DECL
 
 #endif // LLVM_LIBC_SRC_MATH_GENERIC_EXPXF16_H
diff --git a/libc/src/math/generic/CMakeLists.txt b/libc/src/math/generic/CMakeLists.txt
index 65e4839268443..91b8e3d530ef4 100644
--- a/libc/src/math/generic/CMakeLists.txt
+++ b/libc/src/math/generic/CMakeLists.txt
@@ -1395,7 +1395,6 @@ add_entrypoint_object(
   HDRS
     ../exp2f16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.cast
@@ -1404,6 +1403,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.fp_bits
     libc.src.__support.FPUtil.rounding_mode
     libc.src.__support.macros.optimization
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -1433,7 +1433,6 @@ add_entrypoint_object(
   HDRS
     ../exp2m1f16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.common
@@ -1446,6 +1445,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.rounding_mode
     libc.src.__support.macros.optimization
     libc.src.__support.macros.properties.cpu_features
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -1568,7 +1568,6 @@ add_entrypoint_object(
   HDRS
     ../expm1f16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.cast
@@ -1579,6 +1578,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.polyeval
     libc.src.__support.FPUtil.rounding_mode
     libc.src.__support.macros.optimization
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -1949,7 +1949,6 @@ add_entrypoint_object(
   HDRS
     ../log10f16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.cast
@@ -1960,6 +1959,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.polyeval
     libc.src.__support.macros.optimization
     libc.src.__support.macros.properties.cpu_features
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -2038,7 +2038,6 @@ add_entrypoint_object(
   HDRS
     ../log2f16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.cast
@@ -2049,6 +2048,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.polyeval
     libc.src.__support.macros.optimization
     libc.src.__support.macros.properties.cpu_features
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -2093,7 +2093,6 @@ add_entrypoint_object(
   HDRS
     ../logf16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.cast
@@ -2104,6 +2103,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.polyeval
     libc.src.__support.macros.optimization
     libc.src.__support.macros.properties.cpu_features
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -3918,14 +3918,7 @@ add_entrypoint_object(
   HDRS
     ../coshf16.h
   DEPENDS
-    .expxf16
-    libc.hdr.errno_macros
-    libc.hdr.fenv_macros
-    libc.src.__support.FPUtil.except_value_utils
-    libc.src.__support.FPUtil.fenv_impl
-    libc.src.__support.FPUtil.fp_bits
-    libc.src.__support.FPUtil.rounding_mode
-    libc.src.__support.macros.optimization
+    libc.src.__support.math.coshf16
 )
 
 add_entrypoint_object(
@@ -3948,7 +3941,6 @@ add_entrypoint_object(
   HDRS
     ../sinhf16.h
   DEPENDS
-    .expxf16
     libc.hdr.errno_macros
     libc.hdr.fenv_macros
     libc.src.__support.FPUtil.except_value_utils
@@ -3956,6 +3948,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.fp_bits
     libc.src.__support.FPUtil.rounding_mode
     libc.src.__support.macros.optimization
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -3980,7 +3973,6 @@ add_entrypoint_object(
   HDRS
     ../tanhf16.h
   DEPENDS
-    .expxf16
     libc.hdr.fenv_macros
     libc.src.__support.CPP.array
     libc.src.__support.FPUtil.cast
@@ -3992,6 +3984,7 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.polyeval
     libc.src.__support.FPUtil.rounding_mode
     libc.src.__support.macros.optimization
+    libc.src.__support.math.expxf16_utils
 )
 
 add_entrypoint_object(
@@ -4937,21 +4930,6 @@ add_entrypoint_object(
     libc.src.__support.FPUtil.generic.mul
 )
 
-add_header_library(
-  expxf16
-  HDRS
-    expxf16.h
-  DEPENDS
-    libc.hdr.stdint_proxy
-    libc.src.__support.FPUtil.fp_bits
-    libc.src.__support.FPUtil.cast
-    libc.src.__support.FPUtil.multiply_add
-    libc.src.__support.FPUtil.nearest_integer
-    libc.src.__support.macros.attributes
-    libc.src.__support.math.expf16_utils
-    libc.src.__support.math.exp10_float16_constants
-)
-
 add_entrypoint_object(
   bf16add
   SRCS
diff --git a/libc/src/math/generic/coshf16.cpp b/libc/src/math/generic/coshf16.cpp
index 689d16a55260f..d86edd98f29e9 100644
--- a/libc/src/math/generic/coshf16.cpp
+++ b/libc/src/math/generic/coshf16.cpp
@@ -7,105 +7,10 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/coshf16.h"
-#include "expxf16.h"
-#include "hdr/errno_macros.h"
-#include "hdr/fenv_macros.h"
-#include "src/__support/FPUtil/FEnvImpl.h"
-#include "src/__support/FPUtil/FPBits.h"
-#include "src/__support/FPUtil/except_value_utils.h"
-#include "src/__support/FPUtil/rounding_mode.h"
-#include "src/__support/common.h"
-#include "src/__support/macros/config.h"
-#include "src/__support/macros/optimization.h"
+#include "src/__support/math/coshf16.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
-#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
-static constexpr fputil::ExceptValues<float16, 9> COSHF16_EXCEPTS_POS = {{
-    // x = 0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ)
-    {0x29a8U, 0x3c00U, 1U, 0U, 1U},
-    // x = 0x1.8c4p+0, coshf16(x) = 0x1.3a8p+1 (RZ)
-    {0x3e31U, 0x40eaU, 1U, 0U, 0U},
-    // x = 0x1.994p+0, coshf16(x) = 0x1.498p+1 (RZ)
-    {0x3e65U, 0x4126U, 1U, 0U, 0U},
-    // x = 0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ)
-    {0x3ed8U, 0x41b6U, 1U, 0U, 1U},
-    // x = 0x1.aap+1, coshf16(x) = 0x1.be8p+3 (RZ)
-    {0x42a8U, 0x4afaU, 1U, 0U, 1U},
-    // x = 0x1.cc4p+1, coshf16(x) = 0x1.23cp+4 (RZ)
-    {0x4331U, 0x4c8fU, 1U, 0U, 0U},
-    // x = 0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ)
-    {0x44a2U, 0x526dU, 1U, 0U, 0U},
-    // x = 0x1.958p+2, coshf16(x) = 0x1.1a4p+8 (RZ)
-    {0x4656U, 0x5c69U, 1U, 0U, 0U},
-    // x = 0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ)
-    {0x497cU, 0x7715U, 1U, 0U, 1U},
-}};
-
-static constexpr fputil::ExceptValues<float16, 6> COSHF16_EXCEPTS_NEG = {{
-    // x = -0x1.6ap-5, coshf16(x) = 0x1p+0 (RZ)
-    {0xa9a8U, 0x3c00U, 1U, 0U, 1U},
-    // x = -0x1.b6p+0, coshf16(x) = 0x1.6d8p+1 (RZ)
-    {0xbed8U, 0x41b6U, 1U, 0U, 1U},
-    // x = -0x1.288p+2, coshf16(x) = 0x1.9b4p+5 (RZ)
-    {0xc4a2U, 0x526dU, 1U, 0U, 0U},
-    // x = -0x1.5fp+3, coshf16(x) = 0x1.c54p+14 (RZ)
-    {0xc97cU, 0x7715U, 1U, 0U, 1U},
-    // x = -0x1.8c4p+0, coshf16(x) = 0x1.3a8p+1 (RZ)
-    {0xbe31U, 0x40eaU, 1U, 0U, 0U},
-    // x = -0x1.994p+0, coshf16(x) = 0x1.498p+1 (RZ)
-    {0xbe65U, 0x4126U, 1U, 0U, 0U},
-}};
-#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
-
-LLVM_LIBC_FUNCTION(float16, coshf16, (float16 x)) {
-  using FPBits = fputil::FPBits<float16>;
-  FPBits x_bits(x);
-
-  uint16_t x_u = x_bits.uintval();
-  uint16_t x_abs = x_u & 0x7fffU;
-
-  // When |x| >= acosh(2^16), or x is NaN.
-  if (LIBC_UNLIKELY(x_abs >= 0x49e5U)) {
-    // cosh(NaN) = NaN
-    if (x_bits.is_nan()) {
-      if (x_bits.is_signaling_nan()) {
-        fputil::raise_except_if_required(FE_INVALID);
-        return FPBits::quiet_nan().get_val();
-      }
-
-      return x;
-    }
-
-    // When |x| >= acosh(2^16).
-    if (x_abs >= 0x49e5U) {
-      // cosh(+/-inf) = +inf
-      if (x_bits.is_inf())
-        return FPBits::inf().get_val();
-
-      switch (fputil::quick_get_round()) {
-      case FE_TONEAREST:
-      case FE_UPWARD:
-        fputil::set_errno_if_required(ERANGE);
-        fputil::raise_except_if_required(FE_OVERFLOW | FE_INEXACT);
-        return FPBits::inf().get_val();
-      default:
-        return FPBits::max_normal().get_val();
-      }
-    }
-  }
-
-#ifndef LIBC_MATH_HAS_SKIP_ACCURATE_PASS
-  if (x_bits.is_pos()) {
-    if (auto r = COSHF16_EXCEPTS_POS.lookup(x_u); LIBC_UNLIKELY(r.has_value()))
-      return r.value();
-  } else {
-    if (auto r = COSHF16_EXCEPTS_NEG.lookup(x_u); LIBC_UNLIKELY(r.has_value()))
-      return r.value();
-  }
-#endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
-
-  return eval_sinh_or_cosh</*IsSinh=*/false>(x);
-}
+LLVM_LIBC_FUNCTION(float16, coshf16, (float16 x)) { return math::coshf16(x); }
 
 } // namespace LIBC_NAMESPACE_DECL
diff --git a/libc/src/math/generic/exp2f16.cpp b/libc/src/math/generic/exp2f16.cpp
index 5c039c59df1af..5db0c3a9de08d 100644
--- a/libc/src/math/generic/exp2f16.cpp
+++ b/libc/src/math/generic/exp2f16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/exp2f16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -18,6 +17,7 @@
 #include "src/__support/common.h"
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -34,6 +34,7 @@ static constexpr fputil::ExceptValues<float16, 3> EXP2F16_EXCEPTS = {{
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, exp2f16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/exp2m1f16.cpp b/libc/src/math/generic/exp2m1f16.cpp
index 61633cd2cfcfb..ce0cc60748f19 100644
--- a/libc/src/math/generic/exp2m1f16.cpp
+++ b/libc/src/math/generic/exp2m1f16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/exp2m1f16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -21,6 +20,7 @@
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
 #include "src/__support/macros/properties/cpu_features.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -76,6 +76,7 @@ static constexpr fputil::ExceptValues<float16, N_EXP2M1F16_EXCEPTS_HI>
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, exp2m1f16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/expm1f16.cpp b/libc/src/math/generic/expm1f16.cpp
index 2188dfbda8ef9..c2231f0aca715 100644
--- a/libc/src/math/generic/expm1f16.cpp
+++ b/libc/src/math/generic/expm1f16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/expm1f16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -20,6 +19,7 @@
 #include "src/__support/common.h"
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -51,6 +51,7 @@ static constexpr fputil::ExceptValues<float16, N_EXPM1F16_EXCEPTS_HI>
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, expm1f16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/log10f16.cpp b/libc/src/math/generic/log10f16.cpp
index 2626af4ddda15..4bb684a2206cc 100644
--- a/libc/src/math/generic/log10f16.cpp
+++ b/libc/src/math/generic/log10f16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/log10f16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -20,6 +19,7 @@
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
 #include "src/__support/macros/properties/cpu_features.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -75,6 +75,7 @@ static constexpr fputil::ExceptValues<float16, N_LOG10F16_EXCEPTS>
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, log10f16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/log2f16.cpp b/libc/src/math/generic/log2f16.cpp
index 34be780388f2c..5b60323aabf35 100644
--- a/libc/src/math/generic/log2f16.cpp
+++ b/libc/src/math/generic/log2f16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/log2f16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -20,6 +19,7 @@
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
 #include "src/__support/macros/properties/cpu_features.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -61,6 +61,7 @@ static constexpr fputil::ExceptValues<float16, N_LOG2F16_EXCEPTS>
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, log2f16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/logf16.cpp b/libc/src/math/generic/logf16.cpp
index 8e0d7d8f226cb..22e0dc8be34bf 100644
--- a/libc/src/math/generic/logf16.cpp
+++ b/libc/src/math/generic/logf16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/logf16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -20,6 +19,7 @@
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
 #include "src/__support/macros/properties/cpu_features.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -68,6 +68,7 @@ static constexpr fputil::ExceptValues<float16, N_LOGF16_EXCEPTS>
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, logf16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/sinhf16.cpp b/libc/src/math/generic/sinhf16.cpp
index b426ea78b98c0..f6b5c9bea16b0 100644
--- a/libc/src/math/generic/sinhf16.cpp
+++ b/libc/src/math/generic/sinhf16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/sinhf16.h"
-#include "expxf16.h"
 #include "hdr/errno_macros.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -17,6 +16,7 @@
 #include "src/__support/common.h"
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -89,6 +89,7 @@ static constexpr fputil::ExceptValues<float16, 13> SINHF16_EXCEPTS_NEG = {{
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, sinhf16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/src/math/generic/tanhf16.cpp b/libc/src/math/generic/tanhf16.cpp
index 4c43cfd29153f..fc0e28b95a834 100644
--- a/libc/src/math/generic/tanhf16.cpp
+++ b/libc/src/math/generic/tanhf16.cpp
@@ -7,7 +7,6 @@
 //===----------------------------------------------------------------------===//
 
 #include "src/math/tanhf16.h"
-#include "expxf16.h"
 #include "hdr/fenv_macros.h"
 #include "src/__support/CPP/array.h"
 #include "src/__support/FPUtil/FEnvImpl.h"
@@ -21,6 +20,7 @@
 #include "src/__support/common.h"
 #include "src/__support/macros/config.h"
 #include "src/__support/macros/optimization.h"
+#include "src/__support/math/expxf16_utils.h"
 
 namespace LIBC_NAMESPACE_DECL {
 
@@ -34,6 +34,7 @@ static constexpr fputil::ExceptValues<float16, 2> TANHF16_EXCEPTS = {{
 #endif // !LIBC_MATH_HAS_SKIP_ACCURATE_PASS
 
 LLVM_LIBC_FUNCTION(float16, tanhf16, (float16 x)) {
+  using namespace math::expxf16_internal;
   using FPBits = fputil::FPBits<float16>;
   FPBits x_bits(x);
 
diff --git a/libc/test/shared/CMakeLists.txt b/libc/test/shared/CMakeLists.txt
index a36c6b931e71f..3865fd8bcacc5 100644
--- a/libc/test/shared/CMakeLists.txt
+++ b/libc/test/shared/CMakeLists.txt
@@ -32,6 +32,7 @@ add_fp_unittest(
     libc.src.__support.math.cosf
     libc.src.__support.math.cosf16
     libc.src.__support.math.coshf
+    libc.src.__support.math.coshf16
     libc.src.__support.math.erff
     libc.src.__support.math.exp
     libc.src.__support.math.exp10
diff --git a/libc/test/shared/shared_math_test.cpp b/libc/test/shared/shared_math_test.cpp
index e1c6155972420..048ff025cd1fb 100644
--- a/libc/test/shared/shared_math_test.cpp
+++ b/libc/test/shared/shared_math_test.cpp
@@ -22,6 +22,7 @@ TEST(LlvmLibcSharedMathTest, AllFloat16) {
   EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::atanf16(0.0f16));
   EXPECT_FP_EQ(0x0p+0f16, LIBC_NAMESPACE::shared::atanhf16(0.0f16));
   EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::cosf16(0.0f16));
+  EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::coshf16(0.0f16));
   EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::exp10f16(0.0f16));
 
   EXPECT_FP_EQ(0x1p+0f16, LIBC_NAMESPACE::shared::expf16(0.0f16));
diff --git a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
index 3cf928c26e424..becfc9ed19643 100644
--- a/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
+++ b/utils/bazel/llvm-project-overlay/libc/BUILD.bazel
@@ -1980,18 +1980,6 @@ libc_support_library(
     ],
 )
 
-libc_support_library(
-    name = "expxf16",
-    hdrs = ["src/math/generic/expxf16.h"],
-    deps = [
-        ":__support_fputil_cast",
-        ":__support_fputil_fp_bits",
-        ":__support_fputil_nearest_integer",
-        ":__support_math_exp10_float16_constants",
-        ":__support_math_expf16_utils",
-    ],
-)
-
 libc_support_library(
     name = "__support_math_acos",
     hdrs = ["src/__support/math/acos.h"],
@@ -2390,6 +2378,20 @@ libc_support_library(
     ],
 )
 
+libc_support_library(
+    name = "__support_math_coshf16",
+    hdrs = ["src/__support/math/coshf16.h"],
+    deps = [
+        ":__support_math_expxf16_utils",
+        ":__support_fputil_fenv_impl",
+        ":__support_fputil_fp_bits",
+        ":__support_fputil_except_value_utils",
+        ":__support_fputil_rounding_mode",
+        ":__support_macros_config",
+        ":__support_macros_optimization",
+    ],
+)
+
 libc_support_library(
     name = "__support_math_erff",
     hdrs = ["src/__support/math/erff.h"],
@@ -2461,6 +2463,18 @@ libc_support_library(
     ],
 )
 
+libc_support_library(
+    name = "__support_math_expxf16_utils",
+    hdrs = ["src/__support/math/expxf16_utils.h"],
+    deps = [
+        ":__support_fputil_cast",
+        ":__support_fputil_fp_bits",
+        ":__support_fputil_nearest_integer",
+        ":__support_math_exp10_float16_constants",
+        ":__support_math_expf16_utils",
+    ],
+)
+
 libc_support_library(
     name = "__support_math_frexpf128",
     hdrs = ["src/__support/math/frexpf128.h"],
@@ -3199,7 +3213,7 @@ libc_math_function(
 libc_math_function(
     name = "coshf16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_coshf16",
     ],
 )
 
@@ -3297,7 +3311,7 @@ libc_math_function(
     name = "expf16",
     additional_deps = [
         ":__support_math_expf16",
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -3366,7 +3380,7 @@ libc_math_function(
 libc_math_function(
     name = "exp2f16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -3381,7 +3395,7 @@ libc_math_function(
 libc_math_function(
     name = "exp2m1f16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -3417,7 +3431,7 @@ libc_math_function(
 libc_math_function(
     name = "expm1f16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -3923,7 +3937,7 @@ libc_math_function(
 libc_math_function(
     name = "logf16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -3958,7 +3972,7 @@ libc_math_function(
 libc_math_function(
     name = "log10f16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -4019,7 +4033,7 @@ libc_math_function(
 libc_math_function(
     name = "log2f16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -4341,7 +4355,7 @@ libc_math_function(
 libc_math_function(
     name = "sinhf16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )
 
@@ -4448,7 +4462,7 @@ libc_math_function(
 libc_math_function(
     name = "tanhf16",
     additional_deps = [
-        ":expxf16",
+        ":__support_math_expxf16_utils",
     ],
 )