diff --git a/include/spirv-tools/optimizer.hpp b/include/spirv-tools/optimizer.hpp
index 5cfcdb9..d438eeb 100644
--- a/include/spirv-tools/optimizer.hpp
+++ b/include/spirv-tools/optimizer.hpp
@@ -185,6 +185,12 @@
 // OpSpecConstantOp.
 Optimizer::PassToken CreateEliminateDeadConstantPass();
 
+// Creates a strength-reduction pass.
+// A strength-reduction pass will look for opportunities to replace an
+// instruction with an equivalent and less expensive one.  For example,
+// multiplying by a power of 2 can be replaced by a bit shift.
+Optimizer::PassToken CreateStrengthReductionPass();
+
 // Creates a block merge pass.
 // This pass searches for blocks with a single Branch to a block with no
 // other predecessors and merges the blocks into a single block. Continue
diff --git a/source/opt/CMakeLists.txt b/source/opt/CMakeLists.txt
index 09b0469..f91e5a2 100644
--- a/source/opt/CMakeLists.txt
+++ b/source/opt/CMakeLists.txt
@@ -45,6 +45,7 @@
   passes.h
   pass_manager.h
   set_spec_constant_default_value_pass.h
+  strength_reduction_pass.h
   strip_debug_info_pass.h
   types.h
   type_manager.h
@@ -79,6 +80,7 @@
   mem_pass.cpp
   pass.cpp
   pass_manager.cpp
+  strength_reduction_pass.cpp
   strip_debug_info_pass.cpp
   types.cpp
   type_manager.cpp
diff --git a/source/opt/optimizer.cpp b/source/opt/optimizer.cpp
index 2e3133d..16600ba 100644
--- a/source/opt/optimizer.cpp
+++ b/source/opt/optimizer.cpp
@@ -132,6 +132,11 @@
       MakeUnique<opt::EliminateDeadConstantPass>());
 }
 
+Optimizer::PassToken CreateStrengthReductionPass() {
+  return MakeUnique<Optimizer::PassToken::Impl>(
+      MakeUnique<opt::StrengthReductionPass>());
+}
+
 Optimizer::PassToken CreateBlockMergePass() {
   return MakeUnique<Optimizer::PassToken::Impl>(
       MakeUnique<opt::BlockMergePass>());
diff --git a/source/opt/passes.h b/source/opt/passes.h
index c1fdd6a..572387f 100644
--- a/source/opt/passes.h
+++ b/source/opt/passes.h
@@ -35,6 +35,7 @@
 #include "aggressive_dead_code_elim_pass.h"
 #include "null_pass.h"
 #include "set_spec_constant_default_value_pass.h"
+#include "strength_reduction_pass.h"
 #include "strip_debug_info_pass.h"
 #include "unify_const_pass.h"
 
diff --git a/source/opt/strength_reduction_pass.cpp b/source/opt/strength_reduction_pass.cpp
new file mode 100644
index 0000000..58928c1
--- /dev/null
+++ b/source/opt/strength_reduction_pass.cpp
@@ -0,0 +1,210 @@
+// Copyright (c) 2017 Google Inc.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "strength_reduction_pass.h"
+
+#include <algorithm>
+#include <cstdio>
+#include <cstring>
+#include <unordered_map>
+#include <unordered_set>
+
+#include "def_use_manager.h"
+#include "log.h"
+#include "reflect.h"
+
+namespace {
+// Count the number of trailing zeros in the binary representation of
+// |constVal|.
+uint32_t CountTrailingZeros(uint32_t constVal) {
+  // Faster if we use the hardware count trailing zeros instruction.
+  // If not available, we could create a table.
+  uint32_t shiftAmount = 0;
+  while ((constVal & 1) == 0) {
+    ++shiftAmount;
+    constVal = (constVal >> 1);
+  }
+  return shiftAmount;
+}
+
+// Return true if |val| is a power of 2.
+bool IsPowerOf2(uint32_t val) {
+  // The idea is that the & will clear out the least
+  // significant 1 bit.  If it is a power of 2, then
+  // there is exactly 1 bit set, and the value becomes 0.
+  if (val == 0) return false;
+  return ((val - 1) & val) == 0;
+}
+
+}  // namespace
+
+namespace spvtools {
+namespace opt {
+
+Pass::Status StrengthReductionPass::Process(ir::Module* module) {
+  // Initialize the member variables on a per module basis.
+  bool modified = false;
+  def_use_mgr_.reset(new analysis::DefUseManager(consumer(), module));
+  int32_type_id_ = 0;
+  uint32_type_id_ = 0;
+  std::memset(constant_ids_, 0, sizeof(constant_ids_));
+  next_id_ = module->IdBound();
+  module_ = module;
+
+  FindIntTypesAndConstants();
+  modified = ScanFunctions();
+  // Have to reset the id bound.
+  module->SetIdBound(next_id_);
+  return (modified ? Status::SuccessWithChange : Status::SuccessWithoutChange);
+}
+
+bool StrengthReductionPass::ReplaceMultiplyByPowerOf2(
+    ir::BasicBlock::iterator* instPtr) {
+  ir::BasicBlock::iterator& inst = *instPtr;
+  assert(inst->opcode() == SpvOp::SpvOpIMul &&
+         "Only works for multiplication of integers.");
+  bool modified = false;
+
+  // Currently only works on 32-bit integers.
+  if (inst->type_id() != int32_type_id_ && inst->type_id() != uint32_type_id_) {
+    return modified;
+  }
+
+  // Check the operands for a constant that is a power of 2.
+  for (int i = 0; i < 2; i++) {
+    uint32_t opId = inst->GetSingleWordInOperand(i);
+    ir::Instruction* opInst = def_use_mgr_->GetDef(opId);
+    if (opInst->opcode() == SpvOp::SpvOpConstant) {
+      // We found a constant operand.
+      uint32_t constVal = opInst->GetSingleWordOperand(2);
+
+      if (IsPowerOf2(constVal)) {
+        modified = true;
+        uint32_t shiftAmount = CountTrailingZeros(constVal);
+        uint32_t shiftConstResultId = GetConstantId(shiftAmount);
+
+        // Create the new instruction.
+        uint32_t newResultId = next_id_++;
+        std::vector<ir::Operand> newOperands;
+        newOperands.push_back(inst->GetInOperand(1 - i));
+        ir::Operand shiftOperand(spv_operand_type_t::SPV_OPERAND_TYPE_ID,
+                                 {shiftConstResultId});
+        newOperands.push_back(shiftOperand);
+        std::unique_ptr<ir::Instruction> newInstruction(
+            new ir::Instruction(SpvOp::SpvOpShiftLeftLogical, inst->type_id(),
+                                newResultId, newOperands));
+
+        // Insert the new instruction and update the data structures.
+        def_use_mgr_->AnalyzeInstDefUse(&*newInstruction);
+        inst = inst.InsertBefore(std::move(newInstruction));
+        ++inst;
+        def_use_mgr_->ReplaceAllUsesWith(inst->result_id(), newResultId);
+
+        // Remove the old instruction.
+        def_use_mgr_->KillInst(&*inst);
+
+        // We do not want to replace the instruction twice if both operands
+        // are constants that are a power of 2.  So we break here.
+        break;
+      }
+    }
+  }
+
+  return modified;
+}
+
+void StrengthReductionPass::FindIntTypesAndConstants() {
+  for (auto iter = module_->types_values_begin();
+       iter != module_->types_values_end(); ++iter) {
+    switch (iter->opcode()) {
+      case SpvOp::SpvOpTypeInt:
+        if (iter->GetSingleWordOperand(1) == 32) {
+          if (iter->GetSingleWordOperand(2) == 1) {
+            int32_type_id_ = iter->result_id();
+          } else {
+            uint32_type_id_ = iter->result_id();
+          }
+        }
+        break;
+      case SpvOp::SpvOpConstant:
+        if (iter->type_id() == uint32_type_id_) {
+          uint32_t value = iter->GetSingleWordOperand(2);
+          if (value <= 32) constant_ids_[value] = iter->result_id();
+        }
+        break;
+      default:
+        break;
+    }
+  }
+}
+
+uint32_t StrengthReductionPass::GetConstantId(uint32_t val) {
+  assert(val <= 32 &&
+         "This function does not handle constants larger than 32.");
+
+  if (constant_ids_[val] == 0) {
+    if (uint32_type_id_ == 0) {
+      uint32_type_id_ = CreateUint32Type();
+    }
+
+    // Construct the constant.
+    uint32_t resultId = next_id_++;
+    ir::Operand constant(spv_operand_type_t::SPV_OPERAND_TYPE_LITERAL_INTEGER,
+                         {val});
+    std::unique_ptr<ir::Instruction> newConstant(new ir::Instruction(
+        SpvOp::SpvOpConstant, uint32_type_id_, resultId, {constant}));
+    module_->AddGlobalValue(std::move(newConstant));
+
+    // Store the result id for next time.
+    constant_ids_[val] = resultId;
+  }
+
+  return constant_ids_[val];
+}
+
+bool StrengthReductionPass::ScanFunctions() {
+  // I did not use |ForEachInst| in the module because the function that acts on
+  // the instruction gets a pointer to the instruction.  We cannot use that to
+  // insert a new instruction.  I want an iterator.
+  bool modified = false;
+  for (auto& func : *module_) {
+    for (auto& bb : func) {
+      for (auto inst = bb.begin(); inst != bb.end(); ++inst) {
+        switch (inst->opcode()) {
+          case SpvOp::SpvOpIMul:
+            if (ReplaceMultiplyByPowerOf2(&inst)) modified = true;
+            break;
+          default:
+            break;
+        }
+      }
+    }
+  }
+  return modified;
+}
+
+uint32_t StrengthReductionPass::CreateUint32Type() {
+  uint32_t type_id = next_id_++;
+  ir::Operand widthOperand(spv_operand_type_t::SPV_OPERAND_TYPE_LITERAL_INTEGER,
+                           {32});
+  ir::Operand signOperand(spv_operand_type_t::SPV_OPERAND_TYPE_LITERAL_INTEGER,
+                          {0});
+  std::unique_ptr<ir::Instruction> newType(new ir::Instruction(
+      SpvOp::SpvOpTypeInt, type_id, 0, {widthOperand, signOperand}));
+  module_->AddType(std::move(newType));
+  return type_id;
+}
+
+}  // namespace opt
+}  // namespace spvtools
diff --git a/source/opt/strength_reduction_pass.h b/source/opt/strength_reduction_pass.h
new file mode 100644
index 0000000..3d39d45
--- /dev/null
+++ b/source/opt/strength_reduction_pass.h
@@ -0,0 +1,75 @@
+// Copyright (c) 2017 Google Inc.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#ifndef LIBSPIRV_OPT_STRENGTH_REDUCTION_PASS_H_
+#define LIBSPIRV_OPT_STRENGTH_REDUCTION_PASS_H_
+
+#include "def_use_manager.h"
+#include "module.h"
+#include "pass.h"
+
+namespace spvtools {
+namespace opt {
+
+// See optimizer.hpp for documentation.
+class StrengthReductionPass : public Pass {
+ public:
+  const char* name() const override { return "strength-reduction"; }
+  Status Process(ir::Module*) override;
+
+ private:
+  // Replaces multiple by power of 2 with an equivalent bit shift.
+  // Returns true if something changed.
+  bool ReplaceMultiplyByPowerOf2(ir::BasicBlock::iterator*);
+
+  // Scan the types and constants in the module looking for the the integer types that we are
+  // interested in.  The shift operation needs a small unsigned integer.  We need to find
+  // them or create them.  We do not want duplicates.
+  void FindIntTypesAndConstants();
+
+  // Get the id for the given constant.  If it does not exist, it will be
+  // created.  The parameter must be between 0 and 32 inclusive.
+  uint32_t GetConstantId(uint32_t);
+
+  // Replaces certain instructions in function bodies with presumably cheaper
+  // ones. Returns true if something changed.
+  bool ScanFunctions();
+
+  // Will create the type for an unsigned 32-bit integer and return the id.
+  // This functions assumes one does not already exist.
+  uint32_t CreateUint32Type();
+
+  // Def-Uses for the module we are processing
+  std::unique_ptr<analysis::DefUseManager> def_use_mgr_;
+
+  // Type ids for the types of interest, or 0 if they do not exist.
+  uint32_t int32_type_id_;
+  uint32_t uint32_type_id_;
+
+  // constant_ids[i] is the id for unsigned integer constant i.
+  // We set the limit at 32 because a bit shift of a 32-bit integer does not
+  // need a value larger than 32.
+  uint32_t constant_ids_[33];
+
+  // Next unused ID
+  uint32_t next_id_;
+
+  // The module that the pass is being applied to.
+  ir::Module* module_;
+};
+
+}  // namespace opt
+}  // namespace spvtools
+
+#endif  // LIBSPIRV_OPT_STRENGTH_REDUCTION_PASS_H_
diff --git a/test/opt/CMakeLists.txt b/test/opt/CMakeLists.txt
index 8bb13c3..64e46b8 100644
--- a/test/opt/CMakeLists.txt
+++ b/test/opt/CMakeLists.txt
@@ -168,3 +168,8 @@
   SRCS line_debug_info_test.cpp pass_utils.cpp
   LIBS SPIRV-Tools-opt
 )
+
+add_spvtools_unittest(TARGET pass_strength_reduction
+  SRCS strength_reduction_test.cpp pass_utils.cpp
+  LIBS SPIRV-Tools-opt
+)
diff --git a/test/opt/inline_test.cpp b/test/opt/inline_test.cpp
index c568c2b..8f35044 100644
--- a/test/opt/inline_test.cpp
+++ b/test/opt/inline_test.cpp
@@ -16,13 +16,6 @@
 #include "pass_fixture.h"
 #include "pass_utils.h"
 
-template <typename T> std::vector<T> concat(const std::vector<T> &a, const std::vector<T> &b) {
-    std::vector<T> ret = std::vector<T>();
-    std::copy(a.begin(), a.end(), back_inserter(ret));
-    std::copy(b.begin(), b.end(), back_inserter(ret));
-    return ret;
-}
-
 namespace {
 
 using namespace spvtools;
@@ -134,8 +127,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -284,8 +277,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -413,8 +406,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -549,8 +542,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -744,8 +737,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -941,8 +934,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -1147,8 +1140,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
@@ -1353,8 +1346,8 @@
       // clang-format on
   };
   SinglePassRunAndCheck<opt::InlineExhaustivePass>(
-      JoinAllInsts(concat(concat(predefs, before), nonEntryFuncs)),
-      JoinAllInsts(concat(concat(predefs, after), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, before), nonEntryFuncs)),
+      JoinAllInsts(Concat(Concat(predefs, after), nonEntryFuncs)),
       /* skip_nop = */ false, /* do_validate = */ true);
 }
 
diff --git a/test/opt/local_single_block_elim.cpp b/test/opt/local_single_block_elim.cpp
index cc55d5d..7d7559a 100644
--- a/test/opt/local_single_block_elim.cpp
+++ b/test/opt/local_single_block_elim.cpp
@@ -16,14 +16,6 @@
 #include "pass_fixture.h"
 #include "pass_utils.h"
 
-template <typename T>
-std::vector<T> concat(const std::vector<T>& a, const std::vector<T>& b) {
-  std::vector<T> ret;
-  std::copy(a.begin(), a.end(), back_inserter(ret));
-  std::copy(b.begin(), b.end(), back_inserter(ret));
-  return ret;
-}
-
 namespace {
 
 using namespace spvtools;
diff --git a/test/opt/pass_utils.h b/test/opt/pass_utils.h
index a2a3b3c..dbf87c9 100644
--- a/test/opt/pass_utils.h
+++ b/test/opt/pass_utils.h
@@ -49,6 +49,16 @@
 // will be ignored.
 std::string JoinNonDebugInsts(const std::vector<const char*>& insts);
 
+// Returns a vector that contains the contents of |a| followed by the contents
+// of |b|.
+template <typename T>
+std::vector<T> Concat(const std::vector<T>& a, const std::vector<T>& b) {
+  std::vector<T> ret;
+  std::copy(a.begin(), a.end(), back_inserter(ret));
+  std::copy(b.begin(), b.end(), back_inserter(ret));
+  return ret;
+}
+
 }  // namespace spvtools
 
 #endif  // LIBSPIRV_TEST_OPT_PASS_UTILS_H_
diff --git a/test/opt/strength_reduction_test.cpp b/test/opt/strength_reduction_test.cpp
new file mode 100644
index 0000000..541be60
--- /dev/null
+++ b/test/opt/strength_reduction_test.cpp
@@ -0,0 +1,427 @@
+// Copyright (c) 2017 Google Inc.
+//
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+//
+//     http://www.apache.org/licenses/LICENSE-2.0
+//
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+
+#include "assembly_builder.h"
+#include "gmock/gmock.h"
+#include "pass_fixture.h"
+#include "pass_utils.h"
+
+#include <algorithm>
+#include <cstdarg>
+#include <iostream>
+#include <sstream>
+#include <unordered_set>
+
+namespace {
+
+using namespace spvtools;
+
+using ::testing::HasSubstr;
+using ::testing::MatchesRegex;
+
+using StrengthReductionBasicTest = PassTest<::testing::Test>;
+
+// Test to make sure we replace 5*8.
+TEST_F(StrengthReductionBasicTest, BasicReplaceMulBy8) {
+  const std::vector<const char*> text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Vertex %main \"main\"",
+               "OpName %main \"main\"",
+       "%void = OpTypeVoid",
+          "%4 = OpTypeFunction %void",
+       "%uint = OpTypeInt 32 0",
+     "%uint_5 = OpConstant %uint 5",
+     "%uint_8 = OpConstant %uint 8",
+       "%main = OpFunction %void None %4",
+          "%8 = OpLabel",
+          "%9 = OpIMul %uint %uint_5 %uint_8",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithChange, std::get<1>(result));
+  const std::string& output = std::get<0>(result);
+  EXPECT_THAT(output, Not(HasSubstr("OpIMul")));
+  EXPECT_THAT(output, HasSubstr("OpShiftLeftLogical %uint %uint_5 %uint_3"));
+}
+
+// Test to make sure we replace 16*5.
+TEST_F(StrengthReductionBasicTest, BasicReplaceMulBy16) {
+  const std::vector<const char*> text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Vertex %main \"main\"",
+               "OpName %main \"main\"",
+       "%void = OpTypeVoid",
+          "%4 = OpTypeFunction %void",
+        "%int = OpTypeInt 32 1",
+      "%int_16 = OpConstant %int 16",
+      "%int_5 = OpConstant %int 5",
+       "%main = OpFunction %void None %4",
+          "%8 = OpLabel",
+          "%9 = OpIMul %int %int_16 %int_5",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithChange, std::get<1>(result));
+  const std::string& output = std::get<0>(result);
+  EXPECT_THAT(output, Not(HasSubstr("OpIMul")));
+  EXPECT_THAT(output, HasSubstr("OpShiftLeftLogical %int %int_5 %uint_4"));
+}
+
+// Test to make sure we replace a multiple of 32 and 4.
+TEST_F(StrengthReductionBasicTest, BasicTwoPowersOf2) {
+  // In this case, we have two powers of 2.  Need to make sure we replace only
+  // one of them for the bit shift.
+  // clang-format off
+  const std::string text = R"(
+          OpCapability Shader
+     %1 = OpExtInstImport "GLSL.std.450"
+          OpMemoryModel Logical GLSL450
+          OpEntryPoint Vertex %main "main"
+          OpName %main "main"
+  %void = OpTypeVoid
+     %4 = OpTypeFunction %void
+   %int = OpTypeInt 32 1
+%int_32 = OpConstant %int 32
+ %int_4 = OpConstant %int 4
+  %main = OpFunction %void None %4
+     %8 = OpLabel
+     %9 = OpIMul %int %int_32 %int_4
+          OpReturn
+          OpFunctionEnd
+)";
+  // clang-format on
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      text, /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithChange, std::get<1>(result));
+  const std::string& output = std::get<0>(result);
+  EXPECT_THAT(output, Not(HasSubstr("OpIMul")));
+  EXPECT_THAT(output, HasSubstr("OpShiftLeftLogical %int %int_4 %uint_5"));
+}
+
+// Test to make sure we don't replace 0*5.
+TEST_F(StrengthReductionBasicTest, BasicDontReplace0) {
+  const std::vector<const char*> text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Vertex %main \"main\"",
+               "OpName %main \"main\"",
+       "%void = OpTypeVoid",
+          "%4 = OpTypeFunction %void",
+        "%int = OpTypeInt 32 1",
+      "%int_0 = OpConstant %int 0",
+      "%int_5 = OpConstant %int 5",
+       "%main = OpFunction %void None %4",
+          "%8 = OpLabel",
+          "%9 = OpIMul %int %int_0 %int_5",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithoutChange, std::get<1>(result));
+}
+
+// Test to make sure we do not replace a multiple of 5 and 7.
+TEST_F(StrengthReductionBasicTest, BasicNoChange) {
+  const std::vector<const char*> text = {
+      // clang-format off
+             "OpCapability Shader",
+        "%1 = OpExtInstImport \"GLSL.std.450\"",
+             "OpMemoryModel Logical GLSL450",
+             "OpEntryPoint Vertex %2 \"main\"",
+             "OpName %2 \"main\"",
+        "%3 = OpTypeVoid",
+        "%4 = OpTypeFunction %3",
+        "%5 = OpTypeInt 32 1",
+        "%6 = OpTypeInt 32 0",
+        "%7 = OpConstant %5 5",
+        "%8 = OpConstant %5 7",
+        "%2 = OpFunction %3 None %4",
+        "%9 = OpLabel",
+        "%10 = OpIMul %5 %7 %8",
+             "OpReturn",
+             "OpFunctionEnd",
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithoutChange, std::get<1>(result));
+}
+
+// Test to make sure constants and types are reused and not duplicated.
+TEST_F(StrengthReductionBasicTest, NoDuplicateConstantsAndTypes) {
+  const std::vector<const char*> text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Vertex %main \"main\"",
+               "OpName %main \"main\"",
+       "%void = OpTypeVoid",
+          "%4 = OpTypeFunction %void",
+       "%uint = OpTypeInt 32 0",
+     "%uint_8 = OpConstant %uint 8",
+     "%uint_3 = OpConstant %uint 3",
+       "%main = OpFunction %void None %4",
+          "%8 = OpLabel",
+          "%9 = OpIMul %uint %uint_8 %uint_3",
+               "OpReturn",
+               "OpFunctionEnd",
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithChange, std::get<1>(result));
+  const std::string& output = std::get<0>(result);
+  EXPECT_THAT(output,
+              Not(MatchesRegex(".*OpConstant %uint 3.*OpConstant %uint 3.*")));
+  EXPECT_THAT(output, Not(MatchesRegex(".*OpTypeInt 32 0.*OpTypeInt 32 0.*")));
+}
+
+// Test to make sure we generate the constants only once
+TEST_F(StrengthReductionBasicTest, BasicCreateOneConst) {
+  const std::vector<const char*> text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Vertex %main \"main\"",
+               "OpName %main \"main\"",
+       "%void = OpTypeVoid",
+          "%4 = OpTypeFunction %void",
+       "%uint = OpTypeInt 32 0",
+     "%uint_5 = OpConstant %uint 5",
+     "%uint_9 = OpConstant %uint 9",
+   "%uint_128 = OpConstant %uint 128",
+       "%main = OpFunction %void None %4",
+          "%8 = OpLabel",
+          "%9 = OpIMul %uint %uint_5 %uint_128",
+         "%10 = OpIMul %uint %uint_9 %uint_128",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  auto result = SinglePassRunAndDisassemble<opt::StrengthReductionPass>(
+      JoinAllInsts(text), /* skip_nop = */ true);
+
+  EXPECT_EQ(opt::Pass::Status::SuccessWithChange, std::get<1>(result));
+  const std::string& output = std::get<0>(result);
+  EXPECT_THAT(output, Not(HasSubstr("OpIMul")));
+  EXPECT_THAT(output, HasSubstr("OpShiftLeftLogical %uint %uint_5 %uint_7"));
+  EXPECT_THAT(output, HasSubstr("OpShiftLeftLogical %uint %uint_9 %uint_7"));
+}
+
+// Test to make sure we generate the instructions in the correct position and
+// that the uses get replaced as well.  Here we check that the use in the return
+// is replaced, we also check that we can replace two OpIMuls when one feeds the
+// other.
+TEST_F(StrengthReductionBasicTest, BasicCheckPositionAndReplacement) {
+  // This is just the preamble to set up the test.
+  const std::vector<const char*> common_text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Fragment %main \"main\" %gl_FragColor",
+               "OpExecutionMode %main OriginUpperLeft",
+               "OpName %main \"main\"",
+               "OpName %foo_i1_ \"foo(i1;\"",
+               "OpName %n \"n\"",
+               "OpName %gl_FragColor \"gl_FragColor\"",
+               "OpName %param \"param\"",
+               "OpDecorate %gl_FragColor Location 0",
+       "%void = OpTypeVoid",
+          "%3 = OpTypeFunction %void",
+        "%int = OpTypeInt 32 1",
+"%_ptr_Function_int = OpTypePointer Function %int",
+          "%8 = OpTypeFunction %int %_ptr_Function_int",
+    "%int_256 = OpConstant %int 256",
+      "%int_2 = OpConstant %int 2",
+      "%float = OpTypeFloat 32",
+    "%v4float = OpTypeVector %float 4",
+"%_ptr_Output_v4float = OpTypePointer Output %v4float",
+"%gl_FragColor = OpVariable %_ptr_Output_v4float Output",
+    "%float_1 = OpConstant %float 1",
+     "%int_10 = OpConstant %int 10",
+  "%float_0_4 = OpConstant %float 0.4",
+  "%float_0_8 = OpConstant %float 0.8",
+       "%uint = OpTypeInt 32 0",
+     "%uint_8 = OpConstant %uint 8",
+     "%uint_1 = OpConstant %uint 1",
+       "%main = OpFunction %void None %3",
+          "%5 = OpLabel",
+      "%param = OpVariable %_ptr_Function_int Function",
+               "OpStore %param %int_10",
+         "%26 = OpFunctionCall %int %foo_i1_ %param",
+         "%27 = OpConvertSToF %float %26",
+         "%28 = OpFDiv %float %float_1 %27",
+         "%31 = OpCompositeConstruct %v4float %28 %float_0_4 %float_0_8 %float_1",
+               "OpStore %gl_FragColor %31",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  // This is the real test.  The two OpIMul should be replaced.  The expected
+  // output is in |foo_after|.
+  const std::vector<const char*> foo_before = {
+      // clang-format off
+    "%foo_i1_ = OpFunction %int None %8",
+          "%n = OpFunctionParameter %_ptr_Function_int",
+         "%11 = OpLabel",
+         "%12 = OpLoad %int %n",
+         "%14 = OpIMul %int %12 %int_256",
+         "%16 = OpIMul %int %14 %int_2",
+               "OpReturnValue %16",
+               "OpFunctionEnd",
+
+      // clang-format on
+  };
+
+  const std::vector<const char*> foo_after = {
+      // clang-format off
+    "%foo_i1_ = OpFunction %int None %8",
+          "%n = OpFunctionParameter %_ptr_Function_int",
+         "%11 = OpLabel",
+         "%12 = OpLoad %int %n",
+         "%33 = OpShiftLeftLogical %int %12 %uint_8",
+         "%34 = OpShiftLeftLogical %int %33 %uint_1",
+               "OpReturnValue %34",
+               "OpFunctionEnd",
+      // clang-format on
+  };
+
+  SetAssembleOptions(SPV_TEXT_TO_BINARY_OPTION_PRESERVE_NUMERIC_IDS);
+  SinglePassRunAndCheck<opt::StrengthReductionPass>(
+      JoinAllInsts(Concat(common_text, foo_before)),
+      JoinAllInsts(Concat(common_text, foo_after)),
+      /* skip_nop = */ true, /* do_validate = */ true);
+}
+
+// Test that, when the result of an OpIMul instruction has more than 1 use, and
+// the instruction is replaced, all of the uses of the results are replace with
+// the new result.
+TEST_F(StrengthReductionBasicTest, BasicTestMultipleReplacements) {
+  // This is just the preamble to set up the test.
+  const std::vector<const char*> common_text = {
+      // clang-format off
+               "OpCapability Shader",
+          "%1 = OpExtInstImport \"GLSL.std.450\"",
+               "OpMemoryModel Logical GLSL450",
+               "OpEntryPoint Fragment %main \"main\" %gl_FragColor",
+               "OpExecutionMode %main OriginUpperLeft",
+               "OpName %main \"main\"",
+               "OpName %foo_i1_ \"foo(i1;\"",
+               "OpName %n \"n\"",
+               "OpName %gl_FragColor \"gl_FragColor\"",
+               "OpName %param \"param\"",
+               "OpDecorate %gl_FragColor Location 0",
+       "%void = OpTypeVoid",
+          "%3 = OpTypeFunction %void",
+        "%int = OpTypeInt 32 1",
+"%_ptr_Function_int = OpTypePointer Function %int",
+          "%8 = OpTypeFunction %int %_ptr_Function_int",
+    "%int_256 = OpConstant %int 256",
+      "%int_2 = OpConstant %int 2",
+      "%float = OpTypeFloat 32",
+    "%v4float = OpTypeVector %float 4",
+"%_ptr_Output_v4float = OpTypePointer Output %v4float",
+"%gl_FragColor = OpVariable %_ptr_Output_v4float Output",
+    "%float_1 = OpConstant %float 1",
+     "%int_10 = OpConstant %int 10",
+  "%float_0_4 = OpConstant %float 0.4",
+  "%float_0_8 = OpConstant %float 0.8",
+       "%uint = OpTypeInt 32 0",
+     "%uint_8 = OpConstant %uint 8",
+     "%uint_1 = OpConstant %uint 1",
+       "%main = OpFunction %void None %3",
+          "%5 = OpLabel",
+      "%param = OpVariable %_ptr_Function_int Function",
+               "OpStore %param %int_10",
+         "%26 = OpFunctionCall %int %foo_i1_ %param",
+         "%27 = OpConvertSToF %float %26",
+         "%28 = OpFDiv %float %float_1 %27",
+         "%31 = OpCompositeConstruct %v4float %28 %float_0_4 %float_0_8 %float_1",
+               "OpStore %gl_FragColor %31",
+               "OpReturn",
+               "OpFunctionEnd"
+      // clang-format on
+  };
+
+  // This is the real test.  The two OpIMul instructions should be replaced.  In
+  // particular, we want to be sure that both uses of %16 are changed to use the
+  // new result.
+  const std::vector<const char*> foo_before = {
+      // clang-format off
+    "%foo_i1_ = OpFunction %int None %8",
+          "%n = OpFunctionParameter %_ptr_Function_int",
+         "%11 = OpLabel",
+         "%12 = OpLoad %int %n",
+         "%14 = OpIMul %int %12 %int_256",
+         "%16 = OpIMul %int %14 %int_2",
+         "%17 = OpIAdd %int %14 %16",
+               "OpReturnValue %17",
+               "OpFunctionEnd",
+
+      // clang-format on
+  };
+
+  const std::vector<const char*> foo_after = {
+      // clang-format off
+    "%foo_i1_ = OpFunction %int None %8",
+          "%n = OpFunctionParameter %_ptr_Function_int",
+         "%11 = OpLabel",
+         "%12 = OpLoad %int %n",
+         "%34 = OpShiftLeftLogical %int %12 %uint_8",
+         "%35 = OpShiftLeftLogical %int %34 %uint_1",
+         "%17 = OpIAdd %int %34 %35",
+               "OpReturnValue %17",
+               "OpFunctionEnd",
+      // clang-format on
+  };
+
+  SetAssembleOptions(SPV_TEXT_TO_BINARY_OPTION_PRESERVE_NUMERIC_IDS);
+  SinglePassRunAndCheck<opt::StrengthReductionPass>(
+      JoinAllInsts(Concat(common_text, foo_before)),
+      JoinAllInsts(Concat(common_text, foo_after)),
+      /* skip_nop = */ true, /* do_validate = */ true);
+}
+}  // anonymous namespace
diff --git a/tools/opt/opt.cpp b/tools/opt/opt.cpp
index f8bd520..1a53347 100644
--- a/tools/opt/opt.cpp
+++ b/tools/opt/opt.cpp
@@ -112,6 +112,8 @@
                Join two blocks into a single block if the second has the
                first as its only predecessor. Performed only on entry point
                call tree functions.
+  --strength-reduction
+               Replaces instructions with equivalent and less expensive ones.
   -h, --help   
                Print this help.
   --version    
@@ -200,6 +202,8 @@
         optimizer.RegisterPass(CreateEliminateDeadConstantPass());
       } else if (0 == strcmp(cur_arg, "--fold-spec-const-op-composite")) {
         optimizer.RegisterPass(CreateFoldSpecConstantOpAndCompositePass());
+      } else if (0 == strcmp(cur_arg, "--strength-reduction")) {
+        optimizer.RegisterPass(CreateStrengthReductionPass());
       } else if (0 == strcmp(cur_arg, "--unify-const")) {
         optimizer.RegisterPass(CreateUnifyConstantPass());
       } else if (0 == strcmp(cur_arg, "--flatten-decorations")) {