diff --git a/CMakeLists.txt b/CMakeLists.txt
index ff4b9ceee..efb47f7df 100644
--- a/CMakeLists.txt
+++ b/CMakeLists.txt
@@ -179,6 +179,7 @@ add_library(triton SHARED ${PYTHON_SRC})
 target_link_libraries(triton
   ${PYTHON_LIBRARIES}
   TritonIR
+  TritonTransforms
   TritonDriver
   # optimizations
   MLIRPass
diff --git a/include/triton/Dialect/Triton/CMakeLists.txt b/include/triton/Dialect/Triton/CMakeLists.txt
index 46573add6..9f57627c3 100644
--- a/include/triton/Dialect/Triton/CMakeLists.txt
+++ b/include/triton/Dialect/Triton/CMakeLists.txt
@@ -1,10 +1,2 @@
-set(LLVM_TARGET_DEFINITIONS TritonOps.td)
-mlir_tablegen(Ops.h.inc -gen-op-decls)
-mlir_tablegen(Ops.cpp.inc -gen-op-defs)
-mlir_tablegen(Dialect.h.inc -gen-dialect-decls)
-mlir_tablegen(Dialect.cpp.inc -gen-dialect-defs)
-mlir_tablegen(OpsEnums.h.inc -gen-enum-decls)
-mlir_tablegen(OpsEnums.cpp.inc -gen-enum-defs)
-mlir_tablegen(Types.h.inc -gen-typedef-decls)
-mlir_tablegen(Types.cpp.inc -gen-typedef-defs)
-add_public_tablegen_target(TritonTableGen)
+add_subdirectory(IR)
+add_subdirectory(Transforms)
diff --git a/include/triton/Dialect/Triton/IR/CMakeLists.txt b/include/triton/Dialect/Triton/IR/CMakeLists.txt
new file mode 100644
index 000000000..46573add6
--- /dev/null
+++ b/include/triton/Dialect/Triton/IR/CMakeLists.txt
@@ -0,0 +1,10 @@
+set(LLVM_TARGET_DEFINITIONS TritonOps.td)
+mlir_tablegen(Ops.h.inc -gen-op-decls)
+mlir_tablegen(Ops.cpp.inc -gen-op-defs)
+mlir_tablegen(Dialect.h.inc -gen-dialect-decls)
+mlir_tablegen(Dialect.cpp.inc -gen-dialect-defs)
+mlir_tablegen(OpsEnums.h.inc -gen-enum-decls)
+mlir_tablegen(OpsEnums.cpp.inc -gen-enum-defs)
+mlir_tablegen(Types.h.inc -gen-typedef-decls)
+mlir_tablegen(Types.cpp.inc -gen-typedef-defs)
+add_public_tablegen_target(TritonTableGen)
diff --git a/include/triton/Dialect/Triton/Dialect.h b/include/triton/Dialect/Triton/IR/Dialect.h
similarity index 81%
rename from include/triton/Dialect/Triton/Dialect.h
rename to include/triton/Dialect/Triton/IR/Dialect.h
index 0cb893e2f..fc25667b9 100644
--- a/include/triton/Dialect/Triton/Dialect.h
+++ b/include/triton/Dialect/Triton/IR/Dialect.h
@@ -8,11 +8,11 @@
 #include "mlir/Dialect/StandardOps/IR/Ops.h"
 #include "mlir/Dialect/SCF/SCF.h"
 
-#include "triton/Dialect/Triton/Traits.h"
+#include "triton/Dialect/Triton/IR/Traits.h"
 #include "triton/Dialect/Triton/Dialect.h.inc"
 #include "triton/Dialect/Triton/OpsEnums.h.inc"
 
 #define GET_OP_CLASSES
-#include "triton/Dialect/Triton/Ops.h.inc"
+#include "triton/Dialect/Triton/IR/Ops.h.inc"
 
 #endif // TRITON_IR_DIALECT_H_
diff --git a/include/triton/Dialect/Triton/Traits.h b/include/triton/Dialect/Triton/IR/Traits.h
similarity index 100%
rename from include/triton/Dialect/Triton/Traits.h
rename to include/triton/Dialect/Triton/IR/Traits.h
diff --git a/include/triton/Dialect/Triton/TritonDialect.td b/include/triton/Dialect/Triton/IR/TritonDialect.td
similarity index 100%
rename from include/triton/Dialect/Triton/TritonDialect.td
rename to include/triton/Dialect/Triton/IR/TritonDialect.td
diff --git a/include/triton/Dialect/Triton/TritonOps.td b/include/triton/Dialect/Triton/IR/TritonOps.td
similarity index 100%
rename from include/triton/Dialect/Triton/TritonOps.td
rename to include/triton/Dialect/Triton/IR/TritonOps.td
diff --git a/include/triton/Dialect/Triton/Types.h b/include/triton/Dialect/Triton/IR/Types.h
similarity index 78%
rename from include/triton/Dialect/Triton/Types.h
rename to include/triton/Dialect/Triton/IR/Types.h
index dad9ae091..5ffd7db35 100644
--- a/include/triton/Dialect/Triton/Types.h
+++ b/include/triton/Dialect/Triton/IR/Types.h
@@ -5,6 +5,6 @@
 #include "mlir/IR/Types.h"
 
 #define GET_TYPEDEF_CLASSES
-#include "triton/Dialect/Triton/Types.h.inc"
+#include "triton/Dialect/Triton/IR/Types.h.inc"
 
 #endif // TRITON_IR_TYPES_H_
diff --git a/include/triton/Dialect/Triton/Transforms/CMakeLists.txt b/include/triton/Dialect/Triton/Transforms/CMakeLists.txt
new file mode 100644
index 000000000..372a9ec11
--- /dev/null
+++ b/include/triton/Dialect/Triton/Transforms/CMakeLists.txt
@@ -0,0 +1,3 @@
+set(LLVM_TARGET_DEFINITIONS Passes.td)
+mlir_tablegen(Passes.h.inc -gen-pass-decls -name Triton)
+add_public_tablegen_target(TritonTransformsIncGen)
diff --git a/include/triton/Dialect/Triton/Transforms/Passes.h b/include/triton/Dialect/Triton/Transforms/Passes.h
new file mode 100644
index 000000000..71909734a
--- /dev/null
+++ b/include/triton/Dialect/Triton/Transforms/Passes.h
@@ -0,0 +1,14 @@
+#ifndef TRITON_DIALECT_TRITON_TRANSFORMS_PASSES_H_
+#define TRITON_DIALECT_TRITON_TRANSFORMS_PASSES_H_
+
+#include "mlir/Pass/Pass.h"
+
+namespace mlir {
+namespace triton {
+
+std::unique_ptr<Pass> createCombineOpsPass();
+
+}
+}
+
+#endif
diff --git a/include/triton/Dialect/Triton/Transforms/Passes.td b/include/triton/Dialect/Triton/Transforms/Passes.td
new file mode 100644
index 000000000..bd568cb3f
--- /dev/null
+++ b/include/triton/Dialect/Triton/Transforms/Passes.td
@@ -0,0 +1,23 @@
+#ifndef TRITON_PASSES
+#define TRITON_PASSES
+
+include "mlir/Pass/PassBase.td"
+
+def TritonCombineOps : Pass</*cli-arg*/"triton-combine", /*Op*/"mlir::ModuleOp"> {
+  let summary = "combine ops";
+  let description = [{
+    dot(a, b, 0) + c => dot(a, b, c)
+
+    gep(gep(ptr, idx0), idx1) => gep(ptr, AddI(idx0, idx1))
+
+    select(cond, load(ptrs, broadcast(cond), ???), other) =>
+        load(ptrs, broadcast(cond), other)
+  }];
+
+  let constructor = "mlir::triton::createCombineOpsPass";
+
+  let dependentDialects = ["mlir::arith::ArithmeticDialect",
+                           /*SelectOp*/"mlir::StandardOpsDialect"];
+}
+
+#endif
diff --git a/lib/Dialect/Triton/CMakeLists.txt b/lib/Dialect/Triton/CMakeLists.txt
index 2fa15a9b9..9f57627c3 100644
--- a/lib/Dialect/Triton/CMakeLists.txt
+++ b/lib/Dialect/Triton/CMakeLists.txt
@@ -1,18 +1,2 @@
-add_mlir_dialect_library(TritonIR
-  Dialect.cpp
-  Ops.cpp
-  Types.cpp
-
-  DEPENDS
-  TritonTableGen
-
-  LINK_LIBS PUBLIC
-  MLIRIR
-  MLIRArithmetic
-  MLIRSCF
-
-  # Since LLVM 15
-  # MLIRFunc
-  # else
-  MLIRStandard
-)
+add_subdirectory(IR)
+add_subdirectory(Transforms)
diff --git a/lib/Dialect/Triton/IR/CMakeLists.txt b/lib/Dialect/Triton/IR/CMakeLists.txt
new file mode 100644
index 000000000..2fa15a9b9
--- /dev/null
+++ b/lib/Dialect/Triton/IR/CMakeLists.txt
@@ -0,0 +1,18 @@
+add_mlir_dialect_library(TritonIR
+  Dialect.cpp
+  Ops.cpp
+  Types.cpp
+
+  DEPENDS
+  TritonTableGen
+
+  LINK_LIBS PUBLIC
+  MLIRIR
+  MLIRArithmetic
+  MLIRSCF
+
+  # Since LLVM 15
+  # MLIRFunc
+  # else
+  MLIRStandard
+)
diff --git a/lib/Dialect/Triton/Dialect.cpp b/lib/Dialect/Triton/IR/Dialect.cpp
similarity index 83%
rename from lib/Dialect/Triton/Dialect.cpp
rename to lib/Dialect/Triton/IR/Dialect.cpp
index 33188f157..e21384d47 100644
--- a/lib/Dialect/Triton/Dialect.cpp
+++ b/lib/Dialect/Triton/IR/Dialect.cpp
@@ -1,5 +1,5 @@
-#include "triton/Dialect/Triton/Dialect.h"
-#include "triton/Dialect/Triton/Types.h"
+#include "triton/Dialect/Triton/IR/Dialect.h"
+#include "triton/Dialect/Triton/IR/Types.h"
 
 #include "llvm/ADT/StringSwitch.h"
 #include "llvm/ADT/TypeSwitch.h"
diff --git a/lib/Dialect/Triton/Ops.cpp b/lib/Dialect/Triton/IR/Ops.cpp
similarity index 97%
rename from lib/Dialect/Triton/Ops.cpp
rename to lib/Dialect/Triton/IR/Ops.cpp
index ec64927b3..acb4adf6c 100644
--- a/lib/Dialect/Triton/Ops.cpp
+++ b/lib/Dialect/Triton/IR/Ops.cpp
@@ -1,5 +1,5 @@
-#include "triton/Dialect/Triton/Dialect.h"
-#include "triton/Dialect/Triton/Types.h"
+#include "triton/Dialect/Triton/IR/Dialect.h"
+#include "triton/Dialect/Triton/IR/Types.h"
 
 #include "mlir/IR/Builders.h"
 #include "mlir/IR/BuiltinAttributes.h"
diff --git a/lib/Dialect/Triton/Types.cpp b/lib/Dialect/Triton/IR/Types.cpp
similarity index 81%
rename from lib/Dialect/Triton/Types.cpp
rename to lib/Dialect/Triton/IR/Types.cpp
index 5aa8c8773..5ad151b19 100644
--- a/lib/Dialect/Triton/Types.cpp
+++ b/lib/Dialect/Triton/IR/Types.cpp
@@ -1,5 +1,5 @@
-#include "triton/Dialect/Triton/Dialect.h"
-#include "triton/Dialect/Triton/Types.h"
+#include "triton/Dialect/Triton/IR/Dialect.h"
+#include "triton/Dialect/Triton/IR/Types.h"
 #include "mlir/IR/DialectImplementation.h" // required by `Types.cpp.inc`
 #include "llvm/ADT/TypeSwitch.h" // required by `Types.cpp.inc`
 
@@ -7,7 +7,7 @@ using namespace mlir;
 using namespace mlir::triton;
 
 #define GET_TYPEDEF_CLASSES
-#include "triton/Dialect/Triton/Types.cpp.inc"
+#include "triton/Dialect/Triton/IR/Types.cpp.inc"
 
 //===----------------------------------------------------------------------===//
 // Triton Dialect
@@ -15,7 +15,7 @@ using namespace mlir::triton;
 void TritonDialect::registerTypes() {
   addTypes<
 #define GET_TYPEDEF_LIST
-#include "triton/Dialect/Triton/Types.cpp.inc"
+#include "triton/Dialect/Triton/IR/Types.cpp.inc"
   >();
 }
 
diff --git a/lib/Dialect/Triton/Transforms/CMakeLists.txt b/lib/Dialect/Triton/Transforms/CMakeLists.txt
new file mode 100644
index 000000000..61e1a97a2
--- /dev/null
+++ b/lib/Dialect/Triton/Transforms/CMakeLists.txt
@@ -0,0 +1,6 @@
+add_mlir_dialect_library(TritonTransforms
+  Combine.cpp
+
+  DEPENDS
+  TritonTransformsIncGen
+)
diff --git a/lib/Dialect/Triton/Transforms/Combine.cpp b/lib/Dialect/Triton/Transforms/Combine.cpp
new file mode 100644
index 000000000..aaed058b7
--- /dev/null
+++ b/lib/Dialect/Triton/Transforms/Combine.cpp
@@ -0,0 +1,141 @@
+#include "mlir/IR/BuiltinAttributes.h"
+#include "mlir/IR/Matchers.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Pass/Pass.h"
+#include "mlir/Support/LogicalResult.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+#include "triton/Dialect/Triton/IR/Dialect.h"
+#include "triton/Dialect/Triton/Transforms/Passes.h"
+
+#include <memory>
+
+// using namespace mlir;
+
+namespace {
+// dot(a, b, 0) + c => dot(a, b, c)
+class CombineDotOp : public mlir::RewritePattern {
+public:
+  CombineDotOp(mlir::MLIRContext *context)
+    : mlir::RewritePattern(mlir::RewritePattern::MatchAnyOpTypeTag(), 1, context) {}
+  mlir::LogicalResult matchAndRewrite(mlir::Operation *op,
+                                      mlir::PatternRewriter &rewriter) const override {
+    if (llvm::isa<mlir::arith::AddIOp, mlir::arith::AddFOp>(op)) {
+      if (isCandidate(op->getOperand(0)).succeeded()) {
+        auto dotOp = op->getOperand(0).getDefiningOp<mlir::triton::DotOp>();
+        rewriter.replaceOpWithNewOp<mlir::triton::DotOp>(
+          op, dotOp->getResultTypes().front(), dotOp.a(),
+          dotOp.b(), op->getOperand(1), dotOp.allowTF32());
+        return mlir::success();
+      } else if (isCandidate(op->getOperand(1)).succeeded()) {
+        auto dotOp = op->getOperand(1).getDefiningOp<mlir::triton::DotOp>();
+        rewriter.replaceOpWithNewOp<mlir::triton::DotOp>(
+          op, dotOp->getResultTypes().front(), dotOp.a(),
+          dotOp.b(), op->getOperand(0), dotOp.allowTF32());
+        return mlir::success();
+      }
+    }
+    return mlir::failure();
+  }
+
+private:
+  // Is this value a dot and has 0 as `c`.
+  mlir::LogicalResult isCandidate(mlir::Value val) const {
+    if (auto dot = val.getDefiningOp<mlir::triton::DotOp>()) {
+      if (isZero(dot.c()))
+        return mlir::success();
+    }
+    return mlir::failure();
+  }
+
+  bool isZero(mlir::Value val) const {
+    if (mlir::matchPattern(val, mlir::m_Zero()) ||
+        mlir::matchPattern(val, mlir::m_AnyZeroFloat()))
+      return true;
+    // broadcast(constant_0)
+    if (auto bc = val.getDefiningOp<mlir::triton::BroadcastOp>()) {
+      if (mlir::matchPattern(bc.src(), mlir::m_Zero()) || 
+          mlir::matchPattern(bc.src(), mlir::m_AnyZeroFloat()))
+        return true;
+    }
+    return false;
+  }
+};
+
+// gep(gep(%ptr, %idx0), %idx1) => gep(%ptr, AddI(%idx0, %idx1))
+//   Note: leave (sub %c0, %c0) canceling to ArithmeticDialect
+//         (ref: ArithmeticCanonicalization.td)
+class CombineGEPOp : public mlir::RewritePattern {
+public:
+  CombineGEPOp(mlir::MLIRContext *context)
+    : mlir::RewritePattern(mlir::RewritePattern::MatchAnyOpTypeTag(), 1, context) {}
+
+  mlir::LogicalResult matchAndRewrite(mlir::Operation *op,
+                                      mlir::PatternRewriter &rewriter) const override {
+    if (llvm::isa<mlir::triton::GEPOp>(op)) {
+      if (auto gep2 = op->getOperand(0).getDefiningOp<mlir::triton::GEPOp>()) {
+        auto loc = op->getLoc();
+        mlir::Value newIdx = rewriter.create<mlir::arith::AddIOp>(
+          loc, op->getOperand(1), gep2->getOperand(1));
+        rewriter.replaceOpWithNewOp<mlir::triton::GEPOp>(
+          op, op->getResultTypes().front(), gep2->getOperand(0), newIdx
+        );
+        return mlir::success();
+      }
+    }
+    return mlir::failure();
+  }
+};
+
+// select(cond, load(ptrs, broadcast(cond), ???), other)
+//   => load(ptrs, broadcast(cond), other)
+class CombineSelectMaskedLoadOp : public mlir::RewritePattern {
+public:
+  CombineSelectMaskedLoadOp(mlir::MLIRContext *context)
+    : mlir::RewritePattern(mlir::RewritePattern::MatchAnyOpTypeTag(), 1, context) {}
+
+  mlir::LogicalResult matchAndRewrite(mlir::Operation *op,
+                                      mlir::PatternRewriter &rewriter) const override {
+    if (llvm::isa<mlir::SelectOp>(op)) {
+      if (auto load = op->getOperand(1).getDefiningOp<mlir::triton::LoadOp>()) {
+        mlir::Value cond = op->getOperand(0);
+        if (auto bc = load.mask().getDefiningOp<mlir::triton::BroadcastOp>()) {
+          if (bc.src().getDefiningOp() == cond.getDefiningOp()) {
+            rewriter.replaceOpWithNewOp<mlir::triton::LoadOp>(
+              op, op->getResultTypes().front(),
+              load.ptr(), load.mask(), op->getOperand(2),
+              load.cache(), load.evict(), load.isVolatile()
+            );
+            return mlir::success();
+          }
+        }
+      }
+    }
+    return mlir::failure();
+  }
+};
+} // anonymous namespace
+
+#define GEN_PASS_CLASSES
+#include "triton/Dialect/Triton/Transforms/Passes.h.inc"
+
+class CombineOpsPass : public TritonCombineOpsBase<CombineOpsPass> {
+public:
+  void runOnOperation() override {
+    mlir::MLIRContext *context = &getContext();
+    mlir::RewritePatternSet patterns(context);
+    mlir::ModuleOp m = getOperation();
+
+    patterns.add<CombineDotOp>(context);
+    patterns.add<CombineSelectMaskedLoadOp>(context);
+    patterns.add<CombineGEPOp>(context);
+    // patterns.add<CombineReduceOp>(context);
+
+    if (applyPatternsAndFoldGreedily(m, std::move(patterns)).failed())
+      signalPassFailure();
+  }
+};
+
+std::unique_ptr<mlir::Pass> mlir::triton::createCombineOpsPass() {
+  return std::make_unique<CombineOpsPass>();
+}
diff --git a/python/src/triton.cc b/python/src/triton.cc
index e69b0842a..97964394f 100644
--- a/python/src/triton.cc
+++ b/python/src/triton.cc
@@ -12,8 +12,10 @@
 #include "mlir/Transforms/Passes.h"
 
 
-#include "triton/Dialect/Triton/Dialect.h"
-#include "triton/Dialect/Triton/Types.h"
+#include "triton/Dialect/Triton/IR/Dialect.h"
+#include "triton/Dialect/Triton/IR/Types.h"
+
+#include "triton/Dialect/Triton/Transforms/Passes.h"
 
 #include "llvm/IR/Module.h"
 #include "llvm/IR/LegacyPassManager.h"
@@ -1332,6 +1334,9 @@ void init_triton_ir(py::module &&m) {
       .def("add_canonicalizer_pass", [](mlir::PassManager &self) {
         self.addPass(mlir::createCanonicalizerPass());
       })
+      .def("add_triton_combine_pass", [](mlir::PassManager &self) {
+        self.addPass(mlir::triton::createCombineOpsPass());
+      })
       ;
 }
 
diff --git a/rewrite-test/jit/matmul/matmul.py b/rewrite-test/jit/matmul/matmul.py
index 69897a8d1..10d2b7da5 100644
--- a/rewrite-test/jit/matmul/matmul.py
+++ b/rewrite-test/jit/matmul/matmul.py
@@ -99,6 +99,7 @@ mod.dump()
 
 pm = _triton.ir.pass_manager(ctx)
 pm.add_inliner_pass()
+pm.add_triton_combine_pass()
 pm.add_canonicalizer_pass()
 pm.run(mod)