Update LinalgExt to encompass iree-llvm-sandbox additions. (#8554)

Moves LinalgExt related developments in `iree-llvm-sandbox` into `iree-dialects`. With this revision, iree-llvm-sandbox is able to integrate more closely with IREE.

See PSA https://github.com/google/iree-llvm-sandbox/issues/373

Co-authored-by: Mahesh Ravishankar <ravishankarm@google.com>
diff --git a/build_tools/bazel_to_cmake/bazel_to_cmake_targets.py b/build_tools/bazel_to_cmake/bazel_to_cmake_targets.py
index aad06d4..e35479c 100644
--- a/build_tools/bazel_to_cmake/bazel_to_cmake_targets.py
+++ b/build_tools/bazel_to_cmake/bazel_to_cmake_targets.py
@@ -19,7 +19,7 @@
     "//llvm-external-projects/iree-dialects:IREELinalgExtDialect": [
         "IREELinalgExtDialect"
     ],
-    "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms": [
+    "//llvm-external-projects/iree-dialects:IREELinalgExtPasses": [
         "IREELinalgExtPasses"
     ],
     "//llvm-external-projects/iree-dialects:IREEPyDMDialect": [
diff --git a/iree/compiler/Codegen/Common/BUILD b/iree/compiler/Codegen/Common/BUILD
index 5859f09..80649f3 100644
--- a/iree/compiler/Codegen/Common/BUILD
+++ b/iree/compiler/Codegen/Common/BUILD
@@ -71,7 +71,7 @@
         "//iree/compiler/Dialect/HAL/IR",
         "//iree/compiler/Dialect/Util/IR",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:AffineBufferizableOpInterfaceImpl",
diff --git a/iree/compiler/Codegen/Common/TileAndDistributeToWorkgroupsPass.cpp b/iree/compiler/Codegen/Common/TileAndDistributeToWorkgroupsPass.cpp
index 40eaef0..176ed5a 100644
--- a/iree/compiler/Codegen/Common/TileAndDistributeToWorkgroupsPass.cpp
+++ b/iree/compiler/Codegen/Common/TileAndDistributeToWorkgroupsPass.cpp
@@ -14,7 +14,7 @@
 //
 //===---------------------------------------------------------------------===//
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Transforms.h"
 #include "iree/compiler/Codegen/Common/DestructiveUpdateUtils.h"
 #include "iree/compiler/Codegen/Dialect/LoweringConfig.h"
 #include "iree/compiler/Codegen/PassDetail.h"
diff --git a/iree/compiler/Codegen/LLVMCPU/BUILD b/iree/compiler/Codegen/LLVMCPU/BUILD
index e101f53..2a7956d 100644
--- a/iree/compiler/Codegen/LLVMCPU/BUILD
+++ b/iree/compiler/Codegen/LLVMCPU/BUILD
@@ -41,7 +41,7 @@
         "//iree/compiler/Dialect/Util/IR",
         "//iree/compiler/Utils",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:AffineToStandardTransforms",
         "@llvm-project//mlir:Analysis",
diff --git a/iree/compiler/Codegen/LLVMCPU/Passes.cpp b/iree/compiler/Codegen/LLVMCPU/Passes.cpp
index 9d91798..1d376b2 100644
--- a/iree/compiler/Codegen/LLVMCPU/Passes.cpp
+++ b/iree/compiler/Codegen/LLVMCPU/Passes.cpp
@@ -7,7 +7,7 @@
 #include "iree/compiler/Codegen/Passes.h"
 
 #include "iree-dialects/Dialect/LinalgExt/IR/TiledOpInterface.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree/compiler/Codegen/LLVMCPU/KernelDispatch.h"
 #include "iree/compiler/Codegen/PassDetail.h"
 #include "iree/compiler/Codegen/Sandbox/Passes.h"
diff --git a/iree/compiler/Codegen/LLVMGPU/BUILD b/iree/compiler/Codegen/LLVMGPU/BUILD
index 87af66b..9ffbdf1 100644
--- a/iree/compiler/Codegen/LLVMGPU/BUILD
+++ b/iree/compiler/Codegen/LLVMGPU/BUILD
@@ -45,7 +45,7 @@
         "//iree/compiler/Dialect/HAL/IR",
         "//iree/compiler/Dialect/Util/IR",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:AffineToStandard",
diff --git a/iree/compiler/Codegen/LLVMGPU/LLVMGPUTileAndDistribute.cpp b/iree/compiler/Codegen/LLVMGPU/LLVMGPUTileAndDistribute.cpp
index 9cd86f6..4325d90 100644
--- a/iree/compiler/Codegen/LLVMGPU/LLVMGPUTileAndDistribute.cpp
+++ b/iree/compiler/Codegen/LLVMGPU/LLVMGPUTileAndDistribute.cpp
@@ -5,7 +5,7 @@
 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
 
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Transforms.h"
 #include "iree/compiler/Codegen/Dialect/LoweringConfig.h"
 #include "iree/compiler/Codegen/LLVMGPU/KernelConfig.h"
 #include "iree/compiler/Codegen/LLVMGPU/LLVMGPUUtils.h"
diff --git a/iree/compiler/Codegen/LLVMGPU/Passes.cpp b/iree/compiler/Codegen/LLVMGPU/Passes.cpp
index 0cb1e6a..7c1ec65 100644
--- a/iree/compiler/Codegen/LLVMGPU/Passes.cpp
+++ b/iree/compiler/Codegen/LLVMGPU/Passes.cpp
@@ -6,7 +6,7 @@
 
 #include "iree/compiler/Codegen/Passes.h"
 
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree/compiler/Codegen/PassDetail.h"
 #include "mlir/Conversion/AffineToStandard/AffineToStandard.h"
 #include "mlir/Conversion/GPUToNVVM/GPUToNVVMPass.h"
diff --git a/iree/compiler/Codegen/SPIRV/BUILD b/iree/compiler/Codegen/SPIRV/BUILD
index c3a6370..dbb19b1 100644
--- a/iree/compiler/Codegen/SPIRV/BUILD
+++ b/iree/compiler/Codegen/SPIRV/BUILD
@@ -49,7 +49,7 @@
         "//iree/compiler/Dialect/HAL/IR:HALDialect",
         "//iree/compiler/Dialect/Util/IR",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:AffineAnalysis",
diff --git a/iree/compiler/Codegen/SPIRV/Passes.cpp b/iree/compiler/Codegen/SPIRV/Passes.cpp
index 954ecb5..fd600d8 100644
--- a/iree/compiler/Codegen/SPIRV/Passes.cpp
+++ b/iree/compiler/Codegen/SPIRV/Passes.cpp
@@ -13,7 +13,7 @@
 
 #include "iree/compiler/Codegen/Passes.h"
 
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree/compiler/Codegen/PassDetail.h"
 #include "iree/compiler/Codegen/Passes.h"
 #include "iree/compiler/Codegen/SPIRV/MemorySpace.h"
diff --git a/iree/compiler/Codegen/SPIRV/SPIRVTileAndDistribute.cpp b/iree/compiler/Codegen/SPIRV/SPIRVTileAndDistribute.cpp
index 86931f0..138d50b 100644
--- a/iree/compiler/Codegen/SPIRV/SPIRVTileAndDistribute.cpp
+++ b/iree/compiler/Codegen/SPIRV/SPIRVTileAndDistribute.cpp
@@ -12,7 +12,7 @@
 //===----------------------------------------------------------------------===//
 
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Transforms.h"
 #include "iree/compiler/Codegen/Dialect/LoweringConfig.h"
 #include "iree/compiler/Codegen/PassDetail.h"
 #include "iree/compiler/Codegen/Passes.h"
diff --git a/iree/compiler/Dialect/Flow/Transforms/BUILD b/iree/compiler/Dialect/Flow/Transforms/BUILD
index 22205dd..6347d95 100644
--- a/iree/compiler/Dialect/Flow/Transforms/BUILD
+++ b/iree/compiler/Dialect/Flow/Transforms/BUILD
@@ -76,7 +76,7 @@
         "//iree/compiler/Dialect/Util/Transforms",
         "//iree/compiler/Utils",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:ArithmeticDialect",
diff --git a/iree/compiler/Dialect/Flow/Transforms/DispatchLinalgOnTensors.cpp b/iree/compiler/Dialect/Flow/Transforms/DispatchLinalgOnTensors.cpp
index 333b32c..9b92be2 100644
--- a/iree/compiler/Dialect/Flow/Transforms/DispatchLinalgOnTensors.cpp
+++ b/iree/compiler/Dialect/Flow/Transforms/DispatchLinalgOnTensors.cpp
@@ -5,7 +5,7 @@
 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
 
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Transforms.h"
 #include "iree/compiler/Dialect/Flow/IR/FlowDialect.h"
 #include "iree/compiler/Dialect/Flow/IR/FlowOps.h"
 #include "iree/compiler/Dialect/Flow/IR/FlowTypes.h"
diff --git a/iree/compiler/Dialect/Modules/VMVX/Transforms/BUILD b/iree/compiler/Dialect/Modules/VMVX/Transforms/BUILD
index 42ed489..72631ac 100644
--- a/iree/compiler/Dialect/Modules/VMVX/Transforms/BUILD
+++ b/iree/compiler/Dialect/Modules/VMVX/Transforms/BUILD
@@ -32,7 +32,7 @@
         "//iree/compiler/Dialect/Util/IR",
         "//iree/compiler/Dialect/Util/Transforms",
         "//iree/compiler/Dialect/VM/IR",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:AffineToStandardTransforms",
diff --git a/iree/compiler/Dialect/Modules/VMVX/Transforms/Passes.cpp b/iree/compiler/Dialect/Modules/VMVX/Transforms/Passes.cpp
index 2797737..5a96054 100644
--- a/iree/compiler/Dialect/Modules/VMVX/Transforms/Passes.cpp
+++ b/iree/compiler/Dialect/Modules/VMVX/Transforms/Passes.cpp
@@ -8,7 +8,7 @@
 
 #include <memory>
 
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree/compiler/Codegen/Passes.h"
 #include "iree/compiler/Dialect/HAL/Transforms/Passes.h"
 #include "mlir/Conversion/AffineToStandard/AffineToStandard.h"
diff --git a/iree/compiler/InputConversion/MHLO/BUILD b/iree/compiler/InputConversion/MHLO/BUILD
index e8093bc..ed5fdc7 100644
--- a/iree/compiler/InputConversion/MHLO/BUILD
+++ b/iree/compiler/InputConversion/MHLO/BUILD
@@ -68,7 +68,7 @@
         "//iree/compiler/Dialect/Util/IR",
         "//iree/compiler/InputConversion/Common",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "@llvm-project//llvm:Support",
         "@llvm-project//mlir:Affine",
         "@llvm-project//mlir:AffineUtils",
diff --git a/iree/tools/BUILD b/iree/tools/BUILD
index 6c4b3b2..753c641 100644
--- a/iree/tools/BUILD
+++ b/iree/tools/BUILD
@@ -119,7 +119,7 @@
         "//iree/compiler/Translation:IREEVM",
         "//llvm-external-projects/iree-dialects:IREEInputDialect",
         "//llvm-external-projects/iree-dialects:IREELinalgExtDialect",
-        "//llvm-external-projects/iree-dialects:IREELinalgExtTransforms",
+        "//llvm-external-projects/iree-dialects:IREELinalgExtPasses",
         "//llvm-external-projects/iree-dialects:IREEPyDMDialect",
         "@llvm-project//mlir:IR",
     ],
diff --git a/iree/tools/init_iree_passes.h b/iree/tools/init_iree_passes.h
index 66ce300..f5e0863 100644
--- a/iree/tools/init_iree_passes.h
+++ b/iree/tools/init_iree_passes.h
@@ -14,7 +14,7 @@
 
 #include <cstdlib>
 
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree/compiler/Bindings/Native/Transforms/Passes.h"
 #include "iree/compiler/Bindings/TFLite/Transforms/Passes.h"
 #include "iree/compiler/ConstEval/Passes.h"
diff --git a/llvm-external-projects/iree-dialects/BUILD b/llvm-external-projects/iree-dialects/BUILD
index 7f99cb5..350a209 100644
--- a/llvm-external-projects/iree-dialects/BUILD
+++ b/llvm-external-projects/iree-dialects/BUILD
@@ -32,7 +32,7 @@
     srcs = glob([
         "include/iree-dialects/Dialect/Input/*.td",
         "include/iree-dialects/Dialect/LinalgExt/IR/*.td",
-        "include/iree-dialects/Dialect/LinalgExt/Transforms/*.td",
+        "include/iree-dialects/Dialect/LinalgExt/Passes/*.td",
         "include/iree-dialects/Dialect/PyDM/IR/*.td",
         "include/iree-dialects/Dialect/PyDM/Transforms/*.td",
     ]),
@@ -43,7 +43,7 @@
     srcs = glob([
         "include/iree-dialects/Dialect/Input/*.td",
         "include/iree-dialects/Dialect/LinalgExt/IR/*.td",
-        "include/iree-dialects/Dialect/LinalgExt/Transforms/*.td",
+        "include/iree-dialects/Dialect/LinalgExt/Passes/*.td",
         "include/iree-dialects/Dialect/PyDM/IR/*.td",
         "python/iree/compiler/dialects/*.td",
     ]) + [
@@ -175,6 +175,8 @@
         ":TdFiles",
         "@llvm-project//mlir:CallInterfacesTdFiles",
         "@llvm-project//mlir:ControlFlowInterfacesTdFiles",
+        "@llvm-project//mlir:TilingInterfaceTdFiles",
+        "@llvm-project//mlir:ViewLikeInterfaceTdFiles",
     ],
 )
 
@@ -232,19 +234,19 @@
     tbl_outs = [
         (
             ["-gen-pass-decls"],
-            "include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.h.inc",
+            "include/iree-dialects/Dialect/LinalgExt/Passes/Passes.h.inc",
         ),
         (
             ["-gen-pass-capi-header"],
-            "include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.capi.h.inc",
+            "include/iree-dialects/Dialect/LinalgExt/Passes/Passes.capi.h.inc",
         ),
         (
             ["-gen-pass-capi-impl"],
-            "include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.capi.cpp.inc",
+            "include/iree-dialects/Dialect/LinalgExt/Passes/Passes.capi.cpp.inc",
         ),
     ],
     tblgen = "@llvm-project//mlir:mlir-tblgen",
-    td_file = "include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.td",
+    td_file = "include/iree-dialects/Dialect/LinalgExt/Passes/Passes.td",
     deps = [
         ":TdFiles",
         "@llvm-project//mlir:PassBaseTdFiles",
@@ -286,12 +288,12 @@
 )
 
 cc_library(
-    name = "IREELinalgExtTransforms",
+    name = "IREELinalgExtPasses",
     srcs = glob([
-        "lib/Dialect/LinalgExt/Transforms/*.cpp",
+        "lib/Dialect/LinalgExt/Passes/*.cpp",
     ]),
     hdrs = glob([
-        "include/iree-dialects/Dialect/LinalgExt/Transforms/*.h",
+        "include/iree-dialects/Dialect/LinalgExt/Passes/*.h",
     ]),
     deps = [
         ":IREEInputDialect",
@@ -502,6 +504,7 @@
     includes = ["include"],
     deps = [
         ":IREEInputDialect",
+        ":IREELinalgExtDialect",
         ":IREEPyDMDialect",
         ":IREEPyDMTransforms",
         "@llvm-project//mlir:CAPIIR",
@@ -523,7 +526,7 @@
     deps = [
         ":IREEInputDialect",
         ":IREELinalgExtDialect",
-        ":IREELinalgExtTransforms",
+        ":IREELinalgExtPasses",
         ":IREEPyDMDialect",
         ":IREEPyDMTransforms",
         "@llvm-project//llvm:Support",
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects-c/Dialects.h b/llvm-external-projects/iree-dialects/include/iree-dialects-c/Dialects.h
index 5b5d93d..eb6276b 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects-c/Dialects.h
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects-c/Dialects.h
@@ -21,6 +21,12 @@
 
 MLIR_DECLARE_CAPI_DIALECT_REGISTRATION(IREEInput, iree_input);
 
+//===--------------------------------------------------------------------===//
+// IREELinalgExt
+//===--------------------------------------------------------------------===//
+
+MLIR_DECLARE_CAPI_DIALECT_REGISTRATION(IREELinalgExt, iree_linalg_ext);
+
 //===----------------------------------------------------------------------===//
 // IREEPyDMDialect
 //===----------------------------------------------------------------------===//
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/CMakeLists.txt b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/CMakeLists.txt
index 9f57627..5a7289b 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/CMakeLists.txt
@@ -1,2 +1,2 @@
 add_subdirectory(IR)
-add_subdirectory(Transforms)
+add_subdirectory(Passes)
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.td b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.td
index b182052..75c0cad 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.td
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.td
@@ -10,8 +10,11 @@
 include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtBase.td"
 include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtInterfaces.td"
 include "iree-dialects/Dialect/LinalgExt/IR/TiledOpInterface.td"
-include "mlir/Interfaces/SideEffectInterfaces.td"
 include "mlir/Interfaces/ControlFlowInterfaces.td"
+include "mlir/Interfaces/SideEffectInterfaces.td"
+include "mlir/Interfaces/TilingInterface.td"
+include "mlir/Interfaces/ViewLikeInterface.td"
+
 
 //===----------------------------------------------------------------------===//
 // Base class.
@@ -349,8 +352,8 @@
 def IREELinalgExt_YieldOp : IREELinalgExt_PureOp<"yield", [NoSideEffect, ReturnLike, Terminator]> {
   let summary = "LinalgExt yield op";
   let description = [{
-    `linalg_ext.yield` is a special terminator operation for blocks inside
-    regions in `linalg_ext` ops.
+    `iree_linalg_ext.yield` is a special terminator operation for blocks inside
+    regions in `iree_linalg_ext` ops.
   }];
 
   let arguments = (ins Variadic<AnyType>:$operands);
@@ -362,4 +365,268 @@
   let assemblyFormat = "attr-dict ($operands^ `:` type($operands))?";
 }
 
+//===----------------------------------------------------------------------===//
+// Ops supporting concurrency with tensors.
+//===----------------------------------------------------------------------===//
+
+def IREELinalgExt_TileOp : IREELinalgExt_PureOp<"tile",
+      [
+       // TODO: enable to allow hoisting, LICM and isDefinedOutside
+       // DeclareOpInterfaceMethods<LoopLikeOpInterface>,
+       SingleBlockImplicitTerminator<"::mlir::iree_compiler::IREE::LinalgExt::TileYieldOp">,
+       RecursiveSideEffects
+      ]> {
+  let summary = "tile operation";
+  let description = [{
+    `iree_linalg_ext.tile` is a 1-D loop construct that operates on tensors and
+    evaluates its body once for each tile. The number and size of tiles is
+    specified by the `tile_size` operand.
+
+    The `tile` op takes a list of destination-passing style tensors and returns
+    a matching list of tensors of the same size.
+
+    Every instance of the body is expected to return a tile with leading
+    dimension matching the corresponding tile size.
+
+    The default terminator behavior is such that tiles yielded by individual
+    iterations are concatenated along the `tiled_dim` dimension.
+    This is the canonical way to perform "subset insertions".
+    Note, if `tiled_dim` has the value `0`, it may be elided from pretty
+    pinting and parsing.
+
+    All return tiles are concatenated into forming the matching full result
+    tensor according to the terminator.
+
+    When the `tile_size` operand is a `tensor<..index>`, the `tile` op
+    evaluates its body `dim(tile_size, 0)` times. Each iteration `i` produces a
+    tile of leading size `tile_size[i]`.
+
+    The induced `offset` block argument captures the running sum of `tile_size`
+    for all the previous iterations.
+
+    When the `tile_size` operand is a single index, it is interpreted as a
+    sequence of tile sizes given by the following formula:
+    ```
+      N = tensor.dim(...)
+      S = sizes
+      T, R = divmod(N, S)
+      [T] * S + ([R] if R != 0 else [])
+    ```
+
+    All tiles except the last are of the same size.
+  }];
+  let arguments = (ins AnyTypeOf<[// TODO: allow TensorOf<[Index]>,
+                                  Index]>:$tile_size,
+                       Variadic<AnyRankedTensor>:$outs,
+                       I64Attr:$tiled_dim);
+  let results = (outs Variadic<AnyType>:$results);
+  let regions = (region SizedRegion<1>:$region);
+  let skipDefaultBuilders = 1;
+  let builders = [
+    // Builder that builds a tile on the implicit first dimension (i.e. `0`).
+    OpBuilder<(ins "Value":$tileSizes, "ValueRange":$outs,
+      CArg<"function_ref<void(OpBuilder &, Location, Value, Value, ValueRange)>",
+           "nullptr">)>,
+    // Builder that builds a tile with a specified integral dimension.
+    OpBuilder<(ins "Value":$tileSizes, "ValueRange":$outs, "int64_t":$tiledDims,
+      CArg<"function_ref<void(OpBuilder &, Location, Value, Value, ValueRange)>",
+           "nullptr">)>,
+  ];
+
+  let extraClassDeclaration = [{
+    static StringRef getTiledDimAttrName() { return "tiled_dim";}
+    using TileOpBodyBuilderFn =
+      function_ref<void(OpBuilder &, Location, Value /*offset*/, Value /*size*/,
+                        ValueRange /*outs*/)>;
+    // TODO: helper for getting named region args without magic constants etc.
+  }];
+
+  let hasCustomAssemblyFormat = 1;
+  let hasVerifier = 1;
+}
+
+def IREELinalgExt_TileYieldOp : IREELinalgExt_PureOp<"tile_yield", [
+    NoSideEffect, ReturnLike, Terminator]> {
+  let summary = "LinalgExt tile_yield op";
+  let description = [{
+    `iree_linalg_ext.tile_yield` is a special terminator operation for blocks inside
+    regions in `iree_linalg_ext.tile`.
+    The tiles yielded by individual iterations are concatenated along the first
+    dimension. This is the canonical way to perform "subset insertions"
+    (TODO: allow dim permutations).
+  }];
+
+  let arguments = (ins Variadic<AnyType>:$operands);
+
+  let builders = [
+    OpBuilder<(ins), [{ /* nothing to do */ }]>,
+  ];
+
+  let assemblyFormat = "attr-dict ($operands^ `:` type($operands))?";
+}
+
+def IREELinalgExt_InParallelOp : IREELinalgExt_PureOp<"in_parallel", [
+       SingleBlockImplicitTerminator<"::mlir::iree_compiler::IREE::LinalgExt::PerformConcurrentlyOp">,
+       RecursiveSideEffects,
+       AutomaticAllocationScope,
+      ]> {
+  let summary = "evaluate a block multiple times in parallel";
+  let description = [{
+    `iree_linalg_ext.in_parallel` is a target-independent parallel function application
+    operation. It has exactly one block that represents the parallel function body
+    and it takes a single index operand that indicates how many parallel instances
+    of that function should get instantiated.
+
+    When the parallel function body is pure (i.e. has no side effects) then the only
+    allowed terminator is `iree_linalg_ext.perform_concurrently`, which dictates
+    how the results of all parallel invocations should be reconciled into a full
+    value that will be returned from `in_parallel`. Multi-value returns are encoded
+    by including multiple operations inside the `perform_concurrently` block.
+
+    When the parallel function body has side effects, the order of reads and writes
+    to memory is unspecified across iterations.
+
+    This op resembles `scf.for` to a large degree, but crucially differs in that it
+    (1) doesn't have `iter_args` and (2) has a special terminator, both of which
+    enable reasoning about its parallel semantics. Another difference is that
+    `in_parallel` always iterates over a range between 0 and an upper bound, but
+    that's insignificant.
+  }];
+  let arguments = (ins Index:$num_threads);
+
+  let results = (outs Variadic<AnyType>:$results);
+  let regions = (region SizedRegion<1>:$region);
+
+  let hasCustomAssemblyFormat = 1;
+  let hasVerifier = 1;
+
+  // The default builder does not add the proper body BBargs, roll our own.
+  let skipDefaultBuilders = 1;
+  let builders = [
+    // Bodyless builder, result types must be specified.
+    OpBuilder<(ins "TypeRange":$resultTypes, "Value":$num_threads)>,
+    // Builder that takes a bodyBuilder lambda, result types are inferred from
+    // the terminator.
+    OpBuilder<(ins "Value":$num_threads,
+              "function_ref<void(OpBuilder &, Location, Value)>":$bodyBuilder)>
+  ];
+  let extraClassDeclaration = [{
+    Value getThreadIndex() { return getBody()->getArgument(0); }
+    static void ensureTerminator(Region &region, Builder &builder, Location loc);
+    PerformConcurrentlyOp getTerminator();
+  }];
+}
+
+def IREELinalgExt_PerformConcurrentlyOp : IREELinalgExt_PureOp<"perform_concurrently", [
+       NoSideEffect,
+       Terminator,
+       SingleBlockImplicitTerminator<"::mlir::iree_compiler::IREE::LinalgExt::EndPerformConcurrentlyOp">,
+      ]> {
+  let summary = "terminates a `in_parallel` block";
+  let description = [{
+    `iree_linalg_ext.perform_concurrently` is a designated terminator for the blocks
+    of `iree_linalg_ext.in_parallel` operations. The terminator contains a single block
+    itself, which describes how the results of each parallel invocation are to be
+    reconciled into a single value to be returned from the parallel invocation.
+    One operation in this terminator's block corresponds to a single return of
+    `in_parallel`.
+  }];
+
+  let regions = (region SizedRegion<1>:$region);
+
+  let hasCustomAssemblyFormat = 1;
+  let hasVerifier = 1;
+
+  // TODO(apaszke, ntv): Add an interface for ops that can appear inside
+  // perform_concurrently.
+  let extraClassDeclaration = [{
+    SmallVector<Type> yieldedTypes();
+    SmallVector<ParallelInsertSliceOp> yieldingOps();
+  }];
+}
+
+def IREELinalgExt_EndPerformConcurrentlyOp : IREELinalgExt_PureOp<"end_perform_concurrently", [
+       NoSideEffect, Terminator]> {
+  let summary = "terminates a `perform_concurrently` block";
+  let description = [{
+    A designated terminator for `perform_concurrently`. It's not expected to appear
+    in the textual form of the IR.
+  }];
+}
+
+def IREELinalgExt_ParallelInsertSliceOp : IREELinalgExt_PureOp<"parallel_insert_slice", [
+       AttrSizedOperandSegments, OffsetSizeAndStrideOpInterface]> {
+  let summary = "updates slices of a tensor concurrently";
+  let description = [{
+    Updates slices of a full tensor with multiple sub-slices concurrently.
+
+    Conflicting writes result in undefined semantics, in that the indices written
+    to by multiple parallel updates might contain data from any of the updates, or
+    even a malformed bit pattern (in reality the semantics might end up depending
+    on the memory model of the parallel hardware that `in_parallel` will be lowered to).
+
+    If an index is updated by exactly one updates, the value contained at that index
+    in the resulting tensor will be equal to the value at a corresponding index of a
+    slice that was used for the updated. If an index is not updated at all, its value
+    will be equal to the one in the original tensor.
+
+    Note that we cannot mark this operation as pure (NoSideEffects), even
+    though it has no side effects, because it will get DCEd during
+    canonicalization. Ideally we would use attributes instead of those funny
+    terminating ops, but attributes cannot refer to SSA values at the moment, so
+    it's the best we can do for now.
+  }];
+
+  let arguments = (ins
+    AnyRankedTensor:$source,
+    AnyRankedTensor:$dest,
+    Variadic<Index>:$offsets,
+    Variadic<Index>:$sizes,
+    Variadic<Index>:$strides,
+    I64ArrayAttr:$static_offsets,
+    I64ArrayAttr:$static_sizes,
+    I64ArrayAttr:$static_strides
+  );
+  let assemblyFormat = [{
+    $source `into` $dest ``
+    custom<OperandsOrIntegersOffsetsOrStridesList>($offsets, $static_offsets)
+    custom<OperandsOrIntegersSizesList>($sizes, $static_sizes)
+    custom<OperandsOrIntegersOffsetsOrStridesList>($strides, $static_strides)
+    attr-dict `:` type($source) `into` type($dest)
+  }];
+
+  let extraClassDeclaration = [{
+    Type yieldedType() { return dest().getType(); }
+
+    RankedTensorType getSourceType() {
+      return source().getType().cast<RankedTensorType>();
+    }
+
+    /// Return the expected rank of each of the `static_offsets`, `static_sizes`
+    /// and `static_strides` attributes.
+    std::array<unsigned, 3> getArrayAttrMaxRanks() {
+      unsigned rank = getSourceType().getRank();
+      return {rank, rank, rank};
+    }
+
+    /// Return the number of leading operands before `offsets`, `sizes` and
+    /// `strides` operands.
+    static unsigned getOffsetSizeAndStrideStartOperandIndex() { return 1; }
+  }];
+
+  let builders = [
+    // Build a ParallelInsertSliceOp with mixed static and dynamic entries.
+    OpBuilder<(ins "Value":$source, "Value":$dest,
+      "ArrayRef<OpFoldResult>":$offsets, "ArrayRef<OpFoldResult>":$sizes,
+      "ArrayRef<OpFoldResult>":$strides,
+      CArg<"ArrayRef<NamedAttribute>", "{}">:$attrs)>,
+    // Build a ParallelInsertSliceOp with dynamic entries.
+    OpBuilder<(ins "Value":$source, "Value":$dest,
+      "ValueRange":$offsets, "ValueRange":$sizes, "ValueRange":$strides,
+      CArg<"ArrayRef<NamedAttribute>", "{}">:$attrs)>
+  ];
+
+  let hasCanonicalizer = 1;
+}
+
 #endif  // IREE_DIALECT_LINALGEXT_OPS
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/LinalgExtBufferization.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/LinalgExtBufferization.h
new file mode 100644
index 0000000..c1b60b6
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/LinalgExtBufferization.h
@@ -0,0 +1,27 @@
+//===-- LinalgExtBufferization.h - Linalg Extension bufferization ---------===//
+//
+// 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 IREE_DIALECTS_DIALECT_LINALGEXT_BUFFERIZATION_H_
+#define IREE_DIALECTS_DIALECT_LINALGEXT_BUFFERIZATION_H_
+
+namespace mlir {
+
+class DialectRegistry;
+
+namespace iree_compiler {
+namespace IREE {
+namespace LinalgExt {
+
+void registerBufferizableOpInterfaceExternalModels(DialectRegistry &registry);
+
+}  // namespace LinalgExt
+}  // namespace IREE
+}  // namespace iree_compiler
+}  // namespace mlir
+
+#endif  // IREE_DIALECTS_DIALECT_LINALGEXT_BUFFERIZATION_H_
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/CMakeLists.txt b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/CMakeLists.txt
similarity index 75%
rename from llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/CMakeLists.txt
rename to llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/CMakeLists.txt
index 29737fc..07379ca 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/CMakeLists.txt
@@ -2,4 +2,4 @@
 mlir_tablegen(Passes.h.inc -gen-pass-decls)
 mlir_tablegen(Passes.capi.h.inc -gen-pass-capi-header)
 mlir_tablegen(Passes.capi.cpp.inc -gen-pass-capi-impl)
-add_public_tablegen_target(IREELinalgExtTransformsPassesIncGen)
+add_public_tablegen_target(IREELinalgExtPassesIncGen)
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h
similarity index 83%
rename from llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h
rename to llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h
index 4457f87..e5c044d 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h
@@ -9,7 +9,7 @@
 namespace LinalgExt {
 
 #define GEN_PASS_CLASSES
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h.inc"  // IWYU pragma: keep
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h.inc"  // IWYU pragma: keep
 
 }  // namespace LinalgExt
 }  // namespace IREE
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Passes.h
similarity index 92%
rename from llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.h
rename to llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Passes.h
index d3f6144..fb857f3 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.h
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Passes.h
@@ -20,6 +20,8 @@
 
 std::unique_ptr<OperationPass<>> createPadContractionToBlockSizePass();
 
+void registerTilingInterfaceExternalModels(DialectRegistry &registry);
+
 void registerPasses();
 
 }  // namespace LinalgExt
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.td b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Passes.td
similarity index 100%
rename from llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Passes.td
rename to llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Passes.td
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Transforms.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Transforms.h
new file mode 100644
index 0000000..6fa1f51
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Passes/Transforms.h
@@ -0,0 +1,93 @@
+// Copyright 2021 The IREE Authors
+//
+// Licensed 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 IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_TRANSFORMS_H_
+#define IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_TRANSFORMS_H_
+
+#include "iree-dialects/Dialect/LinalgExt/IR/TiledOpInterface.h"
+#include "mlir/Dialect/Linalg/Transforms/Transforms.h"
+#include "mlir/Dialect/Linalg/Utils/Utils.h"
+
+namespace mlir {
+namespace iree_compiler {
+namespace IREE {
+namespace LinalgExt {
+
+/// Structure to represent the result of tiling operation.
+struct TiledOp {
+  /// Tiled op.
+  Operation *op;
+  /// Loops generated during tiling.
+  SmallVector<Operation *> loops;
+  /// Values that are replacements for the untiled operations.
+  SmallVector<Value> results;
+};
+
+/// Main entry point for tiling LinalgExtOps using TiledOpInterface.
+FailureOr<TiledOp> tileLinalgExtOp(OpBuilder &b, TiledOpInterface tilableOp,
+                                   const linalg::LinalgTilingOptions &options);
+
+/// Base rewrite pattern to tile and distribute operations that implement the
+/// `TiledOpInterface`.
+/// Base pattern for tiling TiledOpInterfaceOps.
+struct TiledOpInterfaceBaseTilingPattern
+    : public OpInterfaceRewritePattern<TiledOpInterface> {
+  TiledOpInterfaceBaseTilingPattern(MLIRContext *context,
+                                    linalg::LinalgTilingOptions options,
+                                    linalg::LinalgTransformationFilter filter =
+                                        linalg::LinalgTransformationFilter(),
+                                    PatternBenefit benefit = 1)
+      : OpInterfaceRewritePattern(context, benefit),
+        filter(filter),
+        options(options) {}
+
+  LogicalResult matchAndRewriteBase(TiledOpInterface tilableOp,
+                                    PatternRewriter &rewriter,
+                                    TiledOp &result) const;
+
+ private:
+  /// LinalgTransformMarker handles special attribute manipulations.
+  linalg::LinalgTransformationFilter filter;
+  /// Options to control tiling;
+  linalg::LinalgTilingOptions options;
+};
+
+struct TiledOpInterfaceTilingPattern
+    : public TiledOpInterfaceBaseTilingPattern {
+  TiledOpInterfaceTilingPattern(MLIRContext *context,
+                                linalg::LinalgTilingOptions options,
+                                linalg::LinalgTransformationFilter filter =
+                                    linalg::LinalgTransformationFilter(),
+                                PatternBenefit benefit = 1)
+      : TiledOpInterfaceBaseTilingPattern(context, options, filter, benefit) {}
+
+  LogicalResult matchAndRewrite(TiledOpInterface tilableOp,
+                                PatternRewriter &rewriter) const override {
+    TiledOp tiledOp;
+    // Check for failure.
+    if (failed(TiledOpInterfaceBaseTilingPattern::matchAndRewriteBase(
+            tilableOp, rewriter, tiledOp))) {
+      return failure();
+    }
+    // Check for do-nothing case.
+    if (!tiledOp.op) return failure();
+    if (tiledOp.op != tilableOp) {
+      if (tiledOp.results.empty()) {
+        rewriter.eraseOp(tilableOp);
+      } else {
+        rewriter.replaceOp(tilableOp, tiledOp.results);
+      }
+    }
+    return success();
+  }
+};
+
+}  // namespace LinalgExt
+}  // namespace IREE
+}  // namespace iree_compiler
+}  // namespace mlir
+
+#endif  // IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_TRANSFORMS_H_
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h
index 6fa1f51..3099515 100644
--- a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h
@@ -1,87 +1,93 @@
-// Copyright 2021 The IREE Authors
+//===- Transforms.h - LinalgExt transformations as patterns -----*- C++ -*-===//
 //
-// Licensed under the Apache License v2.0 with LLVM Exceptions.
+// 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 IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_TRANSFORMS_H_
 #define IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_TRANSFORMS_H_
 
-#include "iree-dialects/Dialect/LinalgExt/IR/TiledOpInterface.h"
 #include "mlir/Dialect/Linalg/Transforms/Transforms.h"
-#include "mlir/Dialect/Linalg/Utils/Utils.h"
+#include "mlir/IR/PatternMatch.h"
 
 namespace mlir {
+namespace scf {
+class ForOp;
+}
+
 namespace iree_compiler {
 namespace IREE {
 namespace LinalgExt {
 
-/// Structure to represent the result of tiling operation.
-struct TiledOp {
-  /// Tiled op.
-  Operation *op;
-  /// Loops generated during tiling.
-  SmallVector<Operation *> loops;
-  /// Values that are replacements for the untiled operations.
-  SmallVector<Value> results;
-};
+/// Pattern to tile a TilingInterface op using a TileOp.
+struct LinalgExtTilingPattern
+    : public OpInterfaceRewritePattern<TilingInterface> {
+  LinalgExtTilingPattern(MLIRContext *context, linalg::LinalgTilingOptions opt)
+      : OpInterfaceRewritePattern<TilingInterface>(context), options(opt) {}
 
-/// Main entry point for tiling LinalgExtOps using TiledOpInterface.
-FailureOr<TiledOp> tileLinalgExtOp(OpBuilder &b, TiledOpInterface tilableOp,
-                                   const linalg::LinalgTilingOptions &options);
+  FailureOr<Operation *> returningMatchAndRewrite(
+      TilingInterface op, PatternRewriter &rewriter) const;
 
-/// Base rewrite pattern to tile and distribute operations that implement the
-/// `TiledOpInterface`.
-/// Base pattern for tiling TiledOpInterfaceOps.
-struct TiledOpInterfaceBaseTilingPattern
-    : public OpInterfaceRewritePattern<TiledOpInterface> {
-  TiledOpInterfaceBaseTilingPattern(MLIRContext *context,
-                                    linalg::LinalgTilingOptions options,
-                                    linalg::LinalgTransformationFilter filter =
-                                        linalg::LinalgTransformationFilter(),
-                                    PatternBenefit benefit = 1)
-      : OpInterfaceRewritePattern(context, benefit),
-        filter(filter),
-        options(options) {}
-
-  LogicalResult matchAndRewriteBase(TiledOpInterface tilableOp,
-                                    PatternRewriter &rewriter,
-                                    TiledOp &result) const;
+  LogicalResult matchAndRewrite(TilingInterface op,
+                                PatternRewriter &rewriter) const override {
+    return returningMatchAndRewrite(op, rewriter);
+  }
 
  private:
-  /// LinalgTransformMarker handles special attribute manipulations.
-  linalg::LinalgTransformationFilter filter;
-  /// Options to control tiling;
   linalg::LinalgTilingOptions options;
 };
 
-struct TiledOpInterfaceTilingPattern
-    : public TiledOpInterfaceBaseTilingPattern {
-  TiledOpInterfaceTilingPattern(MLIRContext *context,
-                                linalg::LinalgTilingOptions options,
-                                linalg::LinalgTransformationFilter filter =
-                                    linalg::LinalgTransformationFilter(),
-                                PatternBenefit benefit = 1)
-      : TiledOpInterfaceBaseTilingPattern(context, options, filter, benefit) {}
+/// Pattern to rewrite a TileOp to an scf::ForOp.
+struct TileOpToSCFRewriter : public OpRewritePattern<TileOp> {
+  using OpRewritePattern::OpRewritePattern;
 
-  LogicalResult matchAndRewrite(TiledOpInterface tilableOp,
+  FailureOr<scf::ForOp> returningMatchAndRewrite(
+      TileOp tileOp, PatternRewriter &rewriter) const;
+
+  LogicalResult matchAndRewrite(TileOp tileOp,
                                 PatternRewriter &rewriter) const override {
-    TiledOp tiledOp;
-    // Check for failure.
-    if (failed(TiledOpInterfaceBaseTilingPattern::matchAndRewriteBase(
-            tilableOp, rewriter, tiledOp))) {
-      return failure();
-    }
-    // Check for do-nothing case.
-    if (!tiledOp.op) return failure();
-    if (tiledOp.op != tilableOp) {
-      if (tiledOp.results.empty()) {
-        rewriter.eraseOp(tilableOp);
-      } else {
-        rewriter.replaceOp(tilableOp, tiledOp.results);
-      }
-    }
-    return success();
+    return returningMatchAndRewrite(tileOp, rewriter);
+  }
+};
+
+/// Pattern to rewrite a TileOp to a InParallelOp.
+struct TileOpToInParallelRewriter : public OpRewritePattern<TileOp> {
+  using OpRewritePattern::OpRewritePattern;
+
+  FailureOr<InParallelOp> returningMatchAndRewrite(
+      TileOp tileOp, PatternRewriter &rewriter) const;
+
+  LogicalResult matchAndRewrite(TileOp tileOp,
+                                PatternRewriter &rewriter) const override {
+    return returningMatchAndRewrite(tileOp, rewriter);
+  }
+};
+
+/// Pattern to rewrite a InParallelOp to the async dialect.
+struct InParallelOpToAsyncRewriter : public OpRewritePattern<InParallelOp> {
+  using OpRewritePattern::OpRewritePattern;
+
+  FailureOr<Operation *> returningMatchAndRewrite(
+      InParallelOp inParallelOp, PatternRewriter &rewriter) const;
+
+  LogicalResult matchAndRewrite(InParallelOp inParallelOp,
+                                PatternRewriter &rewriter) const override {
+    return returningMatchAndRewrite(inParallelOp, rewriter);
+  }
+};
+
+/// Pattern to rewrite a InParallelOp to an scf::ForOp.
+struct InParallelOpToScfForRewriter : public OpRewritePattern<InParallelOp> {
+  using OpRewritePattern::OpRewritePattern;
+
+  FailureOr<scf::ForOp> returningMatchAndRewrite(
+      InParallelOp inParallelOp, PatternRewriter &rewriter) const;
+
+  LogicalResult matchAndRewrite(InParallelOp inParallelOp,
+                                PatternRewriter &rewriter) const override {
+    return returningMatchAndRewrite(inParallelOp, rewriter);
   }
 };
 
diff --git a/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Utils.h b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Utils.h
new file mode 100644
index 0000000..534e794
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/include/iree-dialects/Dialect/LinalgExt/Transforms/Utils.h
@@ -0,0 +1,124 @@
+//===- Utils.h - Utils for simplifying writing transformations -*- 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 IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_UTILS_H_
+#define IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_UTILS_H_
+
+#include "mlir/Dialect/Linalg/Transforms/Transforms.h"
+#include "mlir/IR/AffineExpr.h"
+#include "mlir/Support/LLVM.h"
+
+namespace mlir {
+class Location;
+class OpBuilder;
+class Operation;
+class Value;
+
+namespace tensor {
+class ExtractSliceOp;
+}
+
+namespace iree_compiler {
+namespace IREE {
+namespace LinalgExt {
+
+/// Helper function which auto-completes the missing trailing dimensions to
+/// always be offset = 0, size = dim, stride = 1.
+void completeOffsetsSizesAndStrides(OpBuilder &b, Location loc, Value tensor,
+                                    ArrayRef<Value> leadingOffsets,
+                                    ArrayRef<Value> leadingSizes,
+                                    ArrayRef<Value> leadingStrides,
+                                    SmallVectorImpl<Value> &offsets,
+                                    SmallVectorImpl<Value> &sizes,
+                                    SmallVectorImpl<Value> &strides);
+
+/// Create a tensor::ExtractSliceOp by auto-completing the missing trailing
+/// dimensions to always be offset = 0, size = dim, stride = 1.
+Value createSubsetExtractOpFromLeadingOffsetsSizesAndStrides(
+    OpBuilder &b, Location loc, Value tensor,
+    llvm::ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+    ArrayRef<Value> leadingStrides);
+
+/// Create a tensor::InsertSliceOp by auto-completing the missing trailing
+/// dimensions to always be offset = 0, size = dim, stride = 1.
+Value createSubsetInsertOpFromLeadingOffsetsSizesAndStrides(
+    OpBuilder &b, Location loc, Value tensor, Value dest,
+    ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+    ArrayRef<Value> leadingStrides);
+
+/// Create a linalg_ext::ParallelInsertSliceOp by auto-completing the missing
+/// trailing dimensions to always be offset = 0, size = dim, stride = 1.
+Operation *createParallelInsertSliceOpFromLeadingOffsetsSizesAndStrides(
+    OpBuilder &b, Location loc, Value tensor, Value dest,
+    ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+    ArrayRef<Value> leadingStrides);
+
+/// Insert the `source` tensor into the `dest` tensor by creating the relevant
+/// `subset_insert` op. The details of the `subset_insert` op are retrieved
+/// from the `subset_extract` op so that they form a matching extract/insert
+/// pair.
+Value createMatchingSubsetInsertOp(OpBuilder &b, Location loc,
+                                   tensor::ExtractSliceOp subsetExtractOp,
+                                   Value source, Value dest);
+
+struct AffineValueExpr {
+  explicit AffineValueExpr(AffineExpr e) : e(e) {}
+  AffineValueExpr bind(Value v) {
+    this->v = v;
+    return *this;
+  }
+  operator AffineExpr() const { return e; }
+  operator Value() const { return v; }
+  AffineExpr e;
+  Value v;
+};
+
+/// Helper struct to build simple arithmetic quantiAffineValueExprs with minimal
+/// type inference support.
+// TODO: move into ArithBuilder once ops have been moved into arith.
+struct AffineBuilder {
+  AffineBuilder(OpBuilder &b, Location loc) : b(b), loc(loc) {}
+
+  Value add(AffineValueExpr lhs, AffineValueExpr rhs) {
+    return b.createOrFold<AffineApplyOp>(
+        loc, ArrayRef<AffineExpr>{lhs.e + rhs.e}, ValueRange{lhs, rhs});
+  }
+  Value sub(AffineValueExpr lhs, AffineValueExpr rhs) {
+    return b.createOrFold<AffineApplyOp>(
+        loc, ArrayRef<AffineExpr>{lhs.e - rhs.e}, ValueRange{lhs, rhs});
+  }
+  Value mul(AffineValueExpr lhs, AffineValueExpr rhs) {
+    return b.createOrFold<AffineApplyOp>(
+        loc, ArrayRef<AffineExpr>{lhs.e * rhs.e}, ValueRange{lhs, rhs});
+  }
+  Value ceil(AffineValueExpr lhs, AffineValueExpr rhs) {
+    return b.createOrFold<AffineApplyOp>(
+        loc, ArrayRef<AffineExpr>{lhs.e.ceilDiv(rhs.e)}, ValueRange{lhs, rhs});
+  }
+  Value min(ValueRange vals) {
+    return b.createOrFold<AffineMinOp>(
+        loc, AffineMap::getMultiDimIdentityMap(vals.size(), b.getContext()),
+        vals);
+  }
+  Value max(ValueRange vals) {
+    return b.createOrFold<AffineMinOp>(
+        loc, AffineMap::getMultiDimIdentityMap(vals.size(), b.getContext()),
+        vals);
+  }
+
+ private:
+  OpBuilder &b;
+  Location loc;
+};
+
+}  // namespace LinalgExt
+}  // namespace IREE
+}  // namespace iree_compiler
+}  // namespace mlir
+
+#endif  // IREE_DIALECTS_DIALECT_LINALGEXT_TRANSFORMS_UTILS_H_
diff --git a/llvm-external-projects/iree-dialects/lib/CAPI/CMakeLists.txt b/llvm-external-projects/iree-dialects/lib/CAPI/CMakeLists.txt
index fde1221..5c0e24d 100644
--- a/llvm-external-projects/iree-dialects/lib/CAPI/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/lib/CAPI/CMakeLists.txt
@@ -4,6 +4,7 @@
   LINK_LIBS PUBLIC
   MLIRIR
   IREEInputDialect
+  IREELinalgExtDialect
   IREEPyDMDialect
   IREEPyDMPasses
 )
diff --git a/llvm-external-projects/iree-dialects/lib/CAPI/Dialects.cpp b/llvm-external-projects/iree-dialects/lib/CAPI/Dialects.cpp
index ac169f1..569e530 100644
--- a/llvm-external-projects/iree-dialects/lib/CAPI/Dialects.cpp
+++ b/llvm-external-projects/iree-dialects/lib/CAPI/Dialects.cpp
@@ -7,6 +7,7 @@
 #include "iree-dialects-c/Dialects.h"
 
 #include "iree-dialects/Dialect/Input/InputDialect.h"
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtDialect.h"
 #include "iree-dialects/Dialect/PyDM/IR/PyDMDialect.h"
 #include "iree-dialects/Dialect/PyDM/Transforms/Passes.h"
 #include "mlir/CAPI/IR.h"
@@ -27,6 +28,14 @@
 MLIR_DEFINE_CAPI_DIALECT_REGISTRATION(
     IREEInput, iree_input, mlir::iree_compiler::IREE::Input::IREEInputDialect)
 
+//===--------------------------------------------------------------------===//
+// IREELinalgExt
+//===--------------------------------------------------------------------===//
+
+MLIR_DEFINE_CAPI_DIALECT_REGISTRATION(
+    IREELinalgExt, iree_linalg_ext,
+    mlir::iree_compiler::IREE::LinalgExt::IREELinalgExtDialect)
+
 //===----------------------------------------------------------------------===//
 // IREEPyDMDialect
 //===----------------------------------------------------------------------===//
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/CMakeLists.txt b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/CMakeLists.txt
index 9f57627..126b878 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/CMakeLists.txt
@@ -1,2 +1,3 @@
 add_subdirectory(IR)
+add_subdirectory(Passes)
 add_subdirectory(Transforms)
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/IR/LinalgExtOps.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/IR/LinalgExtOps.cpp
index b692d30..cabc5c4 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/IR/LinalgExtOps.cpp
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/IR/LinalgExtOps.cpp
@@ -24,6 +24,7 @@
 #include "mlir/IR/Attributes.h"
 #include "mlir/IR/Builders.h"
 #include "mlir/IR/Diagnostics.h"
+#include "mlir/IR/FunctionImplementation.h"
 #include "mlir/IR/Matchers.h"
 #include "mlir/IR/OpImplementation.h"
 #include "mlir/IR/OperationSupport.h"
@@ -1242,6 +1243,388 @@
 }  // namespace
 
 //===----------------------------------------------------------------------===//
+// TileOp
+//===----------------------------------------------------------------------===//
+
+void TileOp::build(mlir::OpBuilder &builder, mlir::OperationState &result,
+                   Value tileSize, ValueRange outs, int64_t tiledDim,
+                   TileOp::TileOpBodyBuilderFn bodyBuilder) {
+  result.addOperands(tileSize);
+  result.addOperands(outs);
+  result.addAttribute(TileOp::getTiledDimAttrName(),
+                      builder.getI64IntegerAttr(tiledDim));
+  result.addTypes(outs.getType());
+
+  Region *bodyRegion = result.addRegion();
+  bodyRegion->push_back(new Block);
+  Block &bodyBlock = bodyRegion->front();
+  // TODO: Pass a better location here.
+  Location loc = tileSize.getLoc();
+  bodyBlock.addArgument(builder.getIndexType(), loc);
+  bodyBlock.addArgument(builder.getIndexType(), loc);
+  // Handle the sliced out types in a conservative fashion: all dimensions
+  // become dynamic and a later canonicalization is expected to recover static
+  // types.
+  // TODO: should we relax this and use something less strict?
+  auto dynamicTypes =
+      llvm::to_vector(llvm::map_range(outs.getTypes(), [](Type t) -> Type {
+        auto rankedTensorType = t.cast<RankedTensorType>();
+        RankedTensorType::Builder rttb(rankedTensorType);
+        SmallVector<int64_t> dynamicShape(rankedTensorType.getRank(),
+                                          ShapedType::kDynamicSize);
+        return rttb.setShape(dynamicShape);
+      }));
+  SmallVector<Location> locs(dynamicTypes.size(), loc);
+  bodyBlock.addArguments(dynamicTypes, locs);
+
+  OpBuilder::InsertionGuard guard(builder);
+  builder.setInsertionPointToStart(&bodyBlock);
+  bodyBuilder(builder, result.location, bodyBlock.getArgument(0),
+              bodyBlock.getArgument(1), bodyBlock.getArguments().drop_front(2));
+}
+
+void TileOp::build(mlir::OpBuilder &builder, mlir::OperationState &result,
+                   Value tileSize, ValueRange outs,
+                   TileOp::TileOpBodyBuilderFn bodyBuilder) {
+  TileOp::build(builder, result, tileSize, outs, 0, bodyBuilder);
+}
+
+// TODO(#81): Impl me.
+LogicalResult TileOp::verify() { return success(); }
+
+void TileOp::print(OpAsmPrinter &p) {
+  p << ' ' << tile_size() << ' ';
+  if (tiled_dim() > 0) p << "tiled_dim = " << tiled_dim() << ' ';
+  if (!outs().empty()) {
+    p << "outs(";
+    llvm::interleaveComma(outs(), p,
+                          [&p](Value v) { p << v << ": " << v.getType(); });
+    p << ')';
+  }
+  p << " -> (" << getResultTypes() << ") ";
+  p.printRegion(region(),
+                /*printEntryBlockArgs=*/true,
+                /*printBlockTerminators=*/true);
+  p.printOptionalAttrDict(getOperation()->getAttrs(),
+                          /*elidedAttrs=*/{TileOp::getTiledDimAttrName()});
+}
+
+ParseResult TileOp::parse(OpAsmParser &parser, OperationState &result) {
+  auto &builder = parser.getBuilder();
+
+  OpAsmParser::OperandType tileSizes;
+  // TODO: also allow tensor<..xindex> and figure out a good syntax.
+  // Type tensorOfIndexType =
+  //     RankedTensorType::get({ShapedType::kDynamicSize}, indexType);
+  Type tileSizesType = builder.getIndexType();
+  SmallVector<Type> outsTypes;
+  SmallVector<OpAsmParser::OperandType, 4> outsOperands;
+
+  llvm::SMLoc outputsOperandsLoc;
+  if (parser.parseOperand(tileSizes) ||
+      parser.resolveOperand(tileSizes, tileSizesType, result.operands))
+    return failure();
+
+  // Parse the `tiled_dim` attribute or set it to 0 implicitly when elided.
+  if (succeeded(parser.parseOptionalKeyword(TileOp::getTiledDimAttrName()))) {
+    outputsOperandsLoc = parser.getCurrentLocation();
+    Attribute valueAttr;
+    parser.parseAttribute(valueAttr, TileOp::getTiledDimAttrName(),
+                          result.attributes);
+  } else {
+    result.attributes.append(TileOp::getTiledDimAttrName(),
+                             parser.getBuilder().getI64IntegerAttr(0));
+  }
+
+  if (succeeded(parser.parseOptionalKeyword("outs"))) {
+    bool _1;
+    SmallVector<NamedAttrList> _2;
+    SmallVector<Location> _3;
+    outputsOperandsLoc = parser.getCurrentLocation();
+    if (mlir::function_interface_impl::parseFunctionArgumentList(
+            parser,
+            /*allowAttributes=*/false,
+            /*allowVariadic=*/false, outsOperands, outsTypes, /*argAttrs=*/_2,
+            /*argLocations=*/_3,
+            /*isVariadic=*/_1) ||
+        parser.resolveOperands(outsOperands, outsTypes, outputsOperandsLoc,
+                               result.operands))
+      return failure();
+  }
+  if (parser.parseArrowTypeList(result.types)) return failure();
+
+  SmallVector<OpAsmParser::OperandType, 8> regionOperands;
+  std::unique_ptr<Region> region = std::make_unique<Region>();
+  SmallVector<Type, 8> operandTypes, regionTypes;
+  if (parser.parseRegion(*region, regionOperands, regionTypes))
+    return failure();
+
+  // Parse the optional attribute list.
+  if (parser.parseOptionalAttrDict(result.attributes)) return failure();
+
+  TileOp::ensureTerminator(*region, builder, result.location);
+  result.addRegion(std::move(region));
+
+  return success();
+}
+
+//===----------------------------------------------------------------------===//
+// InParallelOp
+//===----------------------------------------------------------------------===//
+
+LogicalResult InParallelOp::verify() {
+  // Check that the body defines as single block argument for the thread index.
+  auto *body = getBody();
+  if (body->getNumArguments() != 1)
+    return emitOpError("body expects exactly one argument");
+  if (!body->getArgument(0).getType().isIndex())
+    return emitOpError(
+        "expected body first argument to be an index argument for "
+        "the thread index");
+
+  // Verify consistency between the result types and the terminator.
+  auto terminatorTypes = getTerminator().yieldedTypes();
+  auto opResults = getResults();
+  if (opResults.size() != terminatorTypes.size())
+    return emitOpError("produces ")
+           << opResults.size() << " results, but its terminator yields "
+           << terminatorTypes.size() << " values";
+  unsigned i = 0;
+  for (auto e : llvm::zip(terminatorTypes, opResults)) {
+    if (std::get<0>(e) != std::get<1>(e).getType())
+      return emitOpError() << "type mismatch between " << i
+                           << "th result of in_parallel (" << std::get<0>(e)
+                           << ") and " << i << "th result yielded by its "
+                           << "terminator (" << std::get<1>(e).getType() << ")";
+    i++;
+  }
+
+  return success();
+}
+
+void InParallelOp::print(OpAsmPrinter &p) {
+  p << ' ' << num_threads() << ' ';
+  p << " -> (" << getResultTypes() << ") ";
+  p.printRegion(region(),
+                /*printEntryBlockArgs=*/true,
+                /*printBlockTerminators=*/true);
+  p.printOptionalAttrDict(getOperation()->getAttrs());
+}
+
+ParseResult InParallelOp::parse(OpAsmParser &parser, OperationState &result) {
+  auto &builder = parser.getBuilder();
+
+  OpAsmParser::OperandType numThreads;
+  Type indexType = builder.getIndexType();
+
+  if (parser.parseOperand(numThreads) ||
+      parser.resolveOperand(numThreads, indexType, result.operands))
+    return failure();
+  if (parser.parseArrowTypeList(result.types)) return failure();
+
+  SmallVector<OpAsmParser::OperandType, 8> regionOperands;
+  SmallVector<Type, 8> regionTypes;
+  std::unique_ptr<Region> region = std::make_unique<Region>();
+  if (parser.parseRegion(*region, regionOperands, regionTypes))
+    return failure();
+  InParallelOp::ensureTerminator(*region, builder, result.location);
+  result.addRegion(std::move(region));
+
+  // Parse the optional attribute list.
+  if (parser.parseOptionalAttrDict(result.attributes)) return failure();
+  return success();
+}
+
+// Bodyless builder, result types must be specified.
+void InParallelOp::build(mlir::OpBuilder &builder, mlir::OperationState &result,
+                         TypeRange resultTypes, Value numThreads) {
+  // TODO: Pass better location.
+  Location loc = numThreads.getLoc();
+  result.addOperands(numThreads);
+
+  Region *bodyRegion = result.addRegion();
+  bodyRegion->push_back(new Block);
+  Block &bodyBlock = bodyRegion->front();
+  bodyBlock.addArgument(builder.getIndexType(), loc);
+
+  // Create the default terminator if the builder is not provided and if the
+  // iteration arguments are not provided. Otherwise, leave this to the caller
+  // because we don't know which values to return from the loop.
+  InParallelOp::ensureTerminator(*bodyRegion, builder, result.location);
+  result.addTypes(resultTypes);
+}
+
+// Builder that takes a bodyBuilder lambda, result types are inferred from
+// the terminator.
+void InParallelOp::build(
+    mlir::OpBuilder &builder, mlir::OperationState &result, Value numThreads,
+    function_ref<void(OpBuilder &, Location, Value)> bodyBuilder) {
+  // TODO: Pass better location.
+  Location loc = numThreads.getLoc();
+  result.addOperands(numThreads);
+
+  Region *bodyRegion = result.addRegion();
+  bodyRegion->push_back(new Block);
+  Block &bodyBlock = bodyRegion->front();
+  bodyBlock.addArgument(builder.getIndexType(), loc);
+
+  OpBuilder::InsertionGuard guard(builder);
+  builder.setInsertionPointToStart(&bodyBlock);
+  bodyBuilder(builder, result.location, bodyBlock.getArgument(0));
+  auto terminator =
+      llvm::cast<PerformConcurrentlyOp>(bodyBlock.getTerminator());
+  result.addTypes(terminator.yieldedTypes());
+}
+
+// The ensureTerminator method generated by SingleBlockImplicitTerminator is
+// unaware of the fact that our terminator also needs a region to be well
+// formed. We override it here to ensure that we do the right thing.
+void InParallelOp::ensureTerminator(Region &region, Builder &builder,
+                                    Location loc) {
+  OpTrait::SingleBlockImplicitTerminator<PerformConcurrentlyOp>::Impl<
+      InParallelOp>::ensureTerminator(region, builder, loc);
+  auto terminator =
+      llvm::dyn_cast<PerformConcurrentlyOp>(region.front().getTerminator());
+  PerformConcurrentlyOp::ensureTerminator(terminator.getRegion(), builder, loc);
+}
+
+PerformConcurrentlyOp InParallelOp::getTerminator() {
+  return cast<PerformConcurrentlyOp>(getBody()->getTerminator());
+}
+
+//===----------------------------------------------------------------------===//
+// ParallelInsertSliceOp
+//===----------------------------------------------------------------------===//
+
+// Build a ParallelInsertSliceOp with mixed static and dynamic entries.
+void ParallelInsertSliceOp::build(OpBuilder &b, OperationState &result,
+                                  Value source, Value dest,
+                                  ArrayRef<OpFoldResult> offsets,
+                                  ArrayRef<OpFoldResult> sizes,
+                                  ArrayRef<OpFoldResult> strides,
+                                  ArrayRef<NamedAttribute> attrs) {
+  SmallVector<int64_t> staticOffsets, staticSizes, staticStrides;
+  SmallVector<Value> dynamicOffsets, dynamicSizes, dynamicStrides;
+  dispatchIndexOpFoldResults(offsets, dynamicOffsets, staticOffsets,
+                             ShapedType::kDynamicStrideOrOffset);
+  dispatchIndexOpFoldResults(sizes, dynamicSizes, staticSizes,
+                             ShapedType::kDynamicSize);
+  dispatchIndexOpFoldResults(strides, dynamicStrides, staticStrides,
+                             ShapedType::kDynamicStrideOrOffset);
+  build(b, result, {}, source, dest, dynamicOffsets, dynamicSizes,
+        dynamicStrides, b.getI64ArrayAttr(staticOffsets),
+        b.getI64ArrayAttr(staticSizes), b.getI64ArrayAttr(staticStrides));
+  result.addAttributes(attrs);
+}
+
+// Build a ParallelInsertSliceOp with dynamic entries.
+void ParallelInsertSliceOp::build(OpBuilder &b, OperationState &result,
+                                  Value source, Value dest, ValueRange offsets,
+                                  ValueRange sizes, ValueRange strides,
+                                  ArrayRef<NamedAttribute> attrs) {
+  SmallVector<OpFoldResult> offsetValues = llvm::to_vector<4>(
+      llvm::map_range(offsets, [](Value v) -> OpFoldResult { return v; }));
+  SmallVector<OpFoldResult> sizeValues = llvm::to_vector<4>(
+      llvm::map_range(sizes, [](Value v) -> OpFoldResult { return v; }));
+  SmallVector<OpFoldResult> strideValues = llvm::to_vector<4>(
+      llvm::map_range(strides, [](Value v) -> OpFoldResult { return v; }));
+  build(b, result, source, dest, offsetValues, sizeValues, strideValues);
+}
+
+namespace {
+/// Pattern to rewrite a parallel_insert_slice op with constant arguments.
+class ParallelInsertSliceOpConstantArgumentFolder final
+    : public OpRewritePattern<ParallelInsertSliceOp> {
+ public:
+  using OpRewritePattern<ParallelInsertSliceOp>::OpRewritePattern;
+
+  LogicalResult matchAndRewrite(ParallelInsertSliceOp insertSliceOp,
+                                PatternRewriter &rewriter) const override {
+    // No constant operand, just return.
+    if (llvm::none_of(insertSliceOp.getOperands(), [](Value operand) {
+          return matchPattern(operand, matchConstantIndex());
+        }))
+      return failure();
+
+    // At least one of offsets/sizes/strides is a new constant.
+    // Form the new list of operands and constant attributes from the
+    // existing.
+    SmallVector<OpFoldResult> mixedOffsets(insertSliceOp.getMixedOffsets());
+    SmallVector<OpFoldResult> mixedSizes(insertSliceOp.getMixedSizes());
+    SmallVector<OpFoldResult> mixedStrides(insertSliceOp.getMixedStrides());
+    canonicalizeSubViewPart(mixedOffsets, ShapedType::isDynamicStrideOrOffset);
+    canonicalizeSubViewPart(mixedSizes, ShapedType::isDynamic);
+    canonicalizeSubViewPart(mixedStrides, ShapedType::isDynamicStrideOrOffset);
+
+    // Create the new op in canonical form.
+    rewriter.replaceOpWithNewOp<ParallelInsertSliceOp>(
+        insertSliceOp, insertSliceOp.source(), insertSliceOp.dest(),
+        mixedOffsets, mixedSizes, mixedStrides);
+    return success();
+  }
+};
+}  // namespace
+
+void ParallelInsertSliceOp::getCanonicalizationPatterns(
+    RewritePatternSet &results, MLIRContext *context) {
+  results.add<ParallelInsertSliceOpConstantArgumentFolder>(context);
+}
+
+//===----------------------------------------------------------------------===//
+// PerformConcurrentlyOp
+//===----------------------------------------------------------------------===//
+
+// TODO(ntv,apaszke): Implement this
+LogicalResult PerformConcurrentlyOp::verify() { return success(); }
+
+void PerformConcurrentlyOp::print(OpAsmPrinter &p) {
+  p << " ";
+  p.printRegion(region(),
+                /*printEntryBlockArgs=*/false,
+                /*printBlockTerminators=*/false);
+  p.printOptionalAttrDict(getOperation()->getAttrs());
+}
+
+ParseResult PerformConcurrentlyOp::parse(OpAsmParser &parser,
+                                         OperationState &result) {
+  auto &builder = parser.getBuilder();
+
+  SmallVector<OpAsmParser::OperandType, 8> regionOperands;
+  SmallVector<Type, 8> regionTypes;
+  std::unique_ptr<Region> region = std::make_unique<Region>();
+  if (parser.parseRegion(*region, regionOperands, regionTypes))
+    return failure();
+  PerformConcurrentlyOp::ensureTerminator(*region, builder, result.location);
+  result.addRegion(std::move(region));
+
+  // Parse the optional attribute list.
+  if (parser.parseOptionalAttrDict(result.attributes)) return failure();
+  return success();
+}
+
+SmallVector<Type> PerformConcurrentlyOp::yieldedTypes() {
+  return llvm::to_vector(llvm::map_range(
+      this->yieldingOps(),
+      [](ParallelInsertSliceOp op) { return op.yieldedType(); }));
+}
+
+SmallVector<ParallelInsertSliceOp> PerformConcurrentlyOp::yieldingOps() {
+  SmallVector<ParallelInsertSliceOp> ret;
+  for (Operation &op : *getBody()) {
+    // TODO: interface when this grows up.
+    if (auto sliceOp = llvm::dyn_cast<ParallelInsertSliceOp>(op)) {
+      ret.push_back(sliceOp);
+      continue;
+    }
+    if (auto endPerformOp = llvm::dyn_cast<EndPerformConcurrentlyOp>(op)) {
+      continue;
+    }
+    llvm_unreachable("Unexpected operation in perform_concurrently");
+  }
+  return ret;
+}
+
+//===----------------------------------------------------------------------===//
 // LinalgExtDialect
 //===----------------------------------------------------------------------===//
 
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/CMakeLists.txt b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/CMakeLists.txt
new file mode 100644
index 0000000..e26003e
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/CMakeLists.txt
@@ -0,0 +1,25 @@
+add_mlir_library(IREELinalgExtPasses
+  ConvertToLoops.cpp
+  PadContractionToBlockSize.cpp
+  Passes.cpp
+  Tiling.cpp
+
+  DEPENDS
+  IREELinalgExtPassesIncGen
+
+  LINK_LIBS PUBLIC
+  IREEInputDialect
+  IREELinalgExtDialect
+  MLIRAffine
+  MLIRIR
+  MLIRLinalg
+  MLIRLinalgTransforms
+  MLIRMath
+  MLIRMemRef
+  MLIRPass
+  MLIRSCF
+  MLIRFunc
+  MLIRSupport
+  MLIRTensor
+  MLIRTransforms
+)
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/ConvertToLoops.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/ConvertToLoops.cpp
similarity index 96%
rename from llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/ConvertToLoops.cpp
rename to llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/ConvertToLoops.cpp
index 52c9dcf..da62126 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/ConvertToLoops.cpp
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/ConvertToLoops.cpp
@@ -6,8 +6,8 @@
 
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtDialect.h"
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "llvm/ADT/ArrayRef.h"
 #include "llvm/ADT/STLExtras.h"
 #include "llvm/ADT/SmallVector.h"
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/PadContractionToBlockSize.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/PadContractionToBlockSize.cpp
similarity index 97%
rename from llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/PadContractionToBlockSize.cpp
rename to llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/PadContractionToBlockSize.cpp
index b050cc7..a2fe9bd 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/PadContractionToBlockSize.cpp
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/PadContractionToBlockSize.cpp
@@ -6,8 +6,8 @@
 
 #include "iree-dialects/Dialect/Input/InputDialect.h"
 #include "iree-dialects/Dialect/Input/InputOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
 #include "mlir/Dialect/Linalg/IR/Linalg.h"
 #include "mlir/Dialect/Tensor/IR/Tensor.h"
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Passes.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Passes.cpp
similarity index 82%
rename from llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Passes.cpp
rename to llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Passes.cpp
index c41b9ed..f038541 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Passes.cpp
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Passes.cpp
@@ -4,7 +4,7 @@
 // See https://llvm.org/LICENSE.txt for license information.
 // SPDX-License-Identifier: Apache-2.0 WITH LLVM-exception
 
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 
 #include "mlir/Pass/Pass.h"
 #include "mlir/Pass/PassRegistry.h"
@@ -20,7 +20,7 @@
 
 namespace detail {
 #define GEN_PASS_REGISTRATION
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h.inc"  // IWYU pragma: export
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h.inc"  // IWYU pragma: export
 }  // namespace detail
 
 }  // namespace LinalgExt
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Tiling.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Tiling.cpp
new file mode 100644
index 0000000..fd66bff
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Passes/Tiling.cpp
@@ -0,0 +1,360 @@
+// Copyright 2021 The IREE Authors
+//
+// Licensed 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
+
+#include "iree-dialects/Dialect/Input/InputDialect.h"
+#include "iree-dialects/Dialect/Input/InputOps.h"
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtDialect.h"
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/PassDetail.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Transforms.h"
+#include "llvm/ADT/TypeSwitch.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Func/IR/FuncOps.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/MemRef/IR/MemRef.h"
+#include "mlir/Dialect/SCF/SCF.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/Dialect/Utils/StaticValueUtils.h"
+#include "mlir/IR/Matchers.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+namespace IREE = mlir::iree_compiler::IREE;
+using namespace IREE::LinalgExt;
+
+//===----------------------------------------------------------------------===//
+// Utility methods for tiling a linalg_ext operation that implements a
+// TiledOpInterface
+//===----------------------------------------------------------------------===//
+
+/// Returns failure if the options are unsupported.
+static LogicalResult verifySupportedTilingOptions(
+    PatternRewriter &rewriter, Operation *op,
+    const linalg::LinalgTilingOptions &options) {
+  if (!options.interchangeVector.empty()) {
+    return rewriter.notifyMatchFailure(op,
+                                       "unsupported interchange during tiling");
+  }
+  if (options.loopType != linalg::LinalgTilingLoopType::Loops) {
+    return rewriter.notifyMatchFailure(op,
+                                       "only tiling with scf.for is supported");
+  }
+  if (options.distribution) {
+    if (llvm::any_of(options.distribution->distributionMethod,
+                     [](linalg::DistributionMethod method) {
+                       return method != linalg::DistributionMethod::Cyclic;
+                     })) {
+      return rewriter.notifyMatchFailure(op,
+                                         "only cyclic distibution is allowed");
+    }
+  }
+  return success();
+}
+
+/// Converts an `OpFoldResult` to a `Value` by building a constant op if
+/// if the `OpFoldResult` is an `IntegerAttr`.
+static Value getValue(OpBuilder &builder, Location loc,
+                      OpFoldResult valueOrAttr) {
+  if (auto attr = valueOrAttr.dyn_cast<Attribute>()) {
+    return builder.create<arith::ConstantIndexOp>(
+        loc, attr.cast<IntegerAttr>().getInt());
+  }
+  return valueOrAttr.get<Value>();
+}
+
+/// Returns true if loop is untiled. Only checks if the value is statically
+/// zero. It is assumed that a `Value` defined by a constant op is already
+/// converted to an `IntegerAttr` of that value. So here just return true if
+/// this is an attribute with a zero value.
+static bool isUntiledLoop(OpFoldResult valueOrAttr) {
+  Optional<int64_t> intVal = getConstantIntValue(valueOrAttr);
+  return intVal && *intVal == 0;
+}
+
+/// Generates the tiled loops and the body by invoking the interface methods of
+/// TiledOpInterface.
+/// - `outputs` are the operands to use for outputs of the tiled operation.
+/// - `tileSizes` are tile sizes specified for all loops of the operation. If a
+///   loop is to be untiled it is set to 0.
+/// - `iteratorType` is the type of the loop iterator returned by the
+///   TiledOpInterface.
+/// - `loopBounds` are the bounds of all the loops of the op returned by the
+///   TiledOpInterface.
+/// - `loopDepth` is the current loop depth being processed.
+/// - `offsets` are the `Value`s that represent the position of the tile being
+///   operated on. The offsets are computed as the tiled loops are being
+///   generated.
+/// - `distributionInfo` is the proc_id and nprocs `Value`s to be used for
+///   distributed loops. It is a stack, and once an entry at the top of the
+///   stack is used for distribution it is popped before processing the inner
+///   loops.
+static FailureOr<TiledOp> tileInterfaceOpImpl(
+    OpBuilder &builder, TiledOpInterface tilableOp, ValueRange outputs,
+    MutableArrayRef<OpFoldResult> tileSizes, ArrayRef<StringRef> iteratorTypes,
+    ArrayRef<Range> loopBounds, unsigned loopDepth,
+    SmallVectorImpl<OpFoldResult> &offsets,
+    ArrayRef<linalg::ProcInfo> distributionInfo) {
+  Location loc = tilableOp.getLoc();
+  // If this is the innermost loop, then generated the tiled implementation of
+  // the op by invoking the TiledOpInterface methods.
+  if (loopDepth == tileSizes.size()) {
+    TiledOp ret;
+    ret.op = tilableOp.getTiledImplementation(builder, outputs, offsets,
+                                              tileSizes, ret.results);
+    if (!ret.op) {
+      return static_cast<LogicalResult>(
+          tilableOp.emitOpError("failed to get tiled implementation"));
+    }
+    return ret;
+  }
+
+  // If tile size at this depth is empty, do nothing.
+  if (isUntiledLoop(tileSizes[loopDepth])) {
+    auto zeroAttr = builder.getI64IntegerAttr(0);
+    offsets.push_back(zeroAttr);
+    assert(matchPattern(loopBounds[loopDepth].offset, m_Zero()) &&
+           "expected loop bounds to have lower bound of zero");
+    tileSizes[loopDepth] = getAsOpFoldResult(loopBounds[loopDepth].size);
+    return tileInterfaceOpImpl(builder, tilableOp, outputs, tileSizes,
+                               iteratorTypes, loopBounds, loopDepth + 1,
+                               offsets, distributionInfo);
+  }
+
+  // Generate an scf.for for the current loop depth.
+  Value lb = loopBounds[loopDepth].offset;
+  Value ub = loopBounds[loopDepth].size;
+  // TODO(#7073): Put the check back. This is required by tiling linalg_ext.fft
+  // op. We can put the check back after updating linalg_ext.fft semantics.
+  // if (!matchPattern(loopBounds[loopDepth].stride, m_One())) {
+  // return static_cast<LogicalResult>(
+  // tilableOp.emitOpError("expected stride to be 1"));
+  //}
+  Value step = getValue(builder, loc, tileSizes[loopDepth]);
+
+  // Update lb, ub and step for cyclic distribution.
+  if (!distributionInfo.empty() &&
+      iteratorTypes[loopDepth] == getParallelIteratorTypeName()) {
+    linalg::updateBoundsForCyclicDistribution(
+        builder, loc, distributionInfo.front().procId,
+        distributionInfo.front().nprocs, lb, ub, step);
+    distributionInfo = distributionInfo.drop_front();
+  }
+  FailureOr<TiledOp> innerReturnValue;
+  bool isBufferTiling = tilableOp->getNumResults() == 0;
+  ValueRange initValues(isBufferTiling ? ValueRange{} : outputs);
+  auto forOp = builder.create<scf::ForOp>(
+      loc, lb, ub, step, initValues,
+      [&](OpBuilder &b, Location loc, Value iv, ValueRange args) {
+        offsets.push_back(iv);
+        auto affineMaps = AffineMap::inferFromExprList({ArrayRef<AffineExpr>{
+            b.getAffineSymbolExpr(0),
+            b.getAffineSymbolExpr(1) - b.getAffineDimExpr(0)}})[0];
+        // Similar to linalg tiling, the tile size is the min(tileSizes, ub -
+        // iv) to account for cases where tile size does not divide (ub - lb)
+        // exactly.
+        Value inBoundsTileSize = b.create<AffineMinOp>(
+            loc, affineMaps,
+            ValueRange{iv, getValue(builder, loc, tileSizes[loopDepth]), ub});
+        tileSizes[loopDepth] = getAsOpFoldResult(inBoundsTileSize);
+        // Recursively proceed to generate the tiled loop for the next level.
+        innerReturnValue =
+            tileInterfaceOpImpl(b, tilableOp, (isBufferTiling ? outputs : args),
+                                tileSizes, iteratorTypes, loopBounds,
+                                loopDepth + 1, offsets, distributionInfo);
+        if (failed(innerReturnValue)) return;
+        b.create<scf::YieldOp>(loc, innerReturnValue->results);
+      });
+  if (failed(innerReturnValue)) {
+    return innerReturnValue;
+  }
+  innerReturnValue->loops.insert(innerReturnValue->loops.begin(),
+                                 forOp.getOperation());
+  innerReturnValue->results = forOp.getResults();
+  return innerReturnValue;
+}
+
+FailureOr<TiledOp> tileInterfaceOp(OpBuilder &b, TiledOpInterface tilableOp,
+                                   const linalg::LinalgTilingOptions &options) {
+  SmallVector<Value> dest = tilableOp.getDestinationOperands(b);
+  if (dest.empty()) {
+    return static_cast<LogicalResult>(tilableOp.emitOpError(
+        "cannot tile operation without destination operands"));
+  }
+
+  SmallVector<StringRef> iteratorTypes = tilableOp.getLoopIteratorTypes();
+  SmallVector<Value, 4> tileSizesVals =
+      options.tileSizeComputationFunction(b, tilableOp);
+  auto zeroAttr = b.getI64IntegerAttr(0);
+
+  // The actual tile sizes used converts `Value` defined as constant 0, to a
+  // zero integer attributes. Currently if the iterator type is not "parallel",
+  // the tile size is forced to zero as well.
+  auto tileSizes = getAsOpFoldResult(tileSizesVals);
+  tileSizes.resize(iteratorTypes.size(), zeroAttr);
+  for (auto en : llvm::enumerate(iteratorTypes)) {
+    if (en.value() == getParallelIteratorTypeName()) continue;
+    if (!isUntiledLoop(tileSizes[en.index()])) {
+      return static_cast<LogicalResult>(tilableOp.emitOpError(
+          "unimplemented tiling of non-parallel loop iterator type"));
+    }
+  }
+
+  // Trivial early exit case of tile sizes being zero for all parallel loops.
+  if (llvm::all_of(tileSizes, isUntiledLoop)) {
+    return TiledOp{tilableOp, {}, {}};
+  }
+
+  SmallVector<Range> loopBounds = tilableOp.getIterationDomain(b);
+  SmallVector<linalg::ProcInfo> distributionInfo;
+  // If the tiled loops are distributed, get the proc_id and nprocs for the
+  // distributed loops. First collect the parallel loops by iterating over the
+  // tileSizes and getting the loops that are distribute, i.e.,
+  // - parallel, i.e. iteratorTypes is "parallel"
+  // - tiled, i.e. tileSize != 0
+  if (options.distribution) {
+    SmallVector<Range> distributedLoopRange;
+    for (auto i : llvm::seq<unsigned>(0, tileSizes.size())) {
+      if (isUntiledLoop(tileSizes[i])) continue;
+      if (iteratorTypes[i] != getParallelIteratorTypeName()) continue;
+      distributedLoopRange.push_back(loopBounds[i]);
+    }
+    distributionInfo = options.distribution->procInfo(b, tilableOp.getLoc(),
+                                                      distributedLoopRange);
+  }
+
+  SmallVector<OpFoldResult> offsets;
+  return tileInterfaceOpImpl(b, tilableOp, dest, tileSizes, iteratorTypes,
+                             loopBounds, 0, offsets, distributionInfo);
+}
+
+LogicalResult TiledOpInterfaceBaseTilingPattern::matchAndRewriteBase(
+    TiledOpInterface tilableOp, PatternRewriter &rewriter,
+    TiledOp &result) const {
+  if (failed(filter.checkAndNotify(rewriter, tilableOp))) {
+    return failure();
+  }
+  if (failed(verifySupportedTilingOptions(rewriter, tilableOp, options))) {
+    return failure();
+  }
+
+  FailureOr<TiledOp> res = tileInterfaceOp(rewriter, tilableOp, options);
+  if (failed(res)) return res;
+  result = *res;
+  if (result.op) {
+    filter.replaceLinalgTransformationFilter(rewriter, result.op);
+  }
+  return success();
+}
+
+//===----------------------------------------------------------------------===//
+// Test pass for tiling Linalg Ext ops
+//===----------------------------------------------------------------------===//
+
+namespace {
+struct TiledOpInterfaceTilingPass
+    : public TiledOpInterfaceTilingBase<TiledOpInterfaceTilingPass> {
+  void getDependentDialects(DialectRegistry &registry) const override {
+    registry.insert<
+        AffineDialect, IREE::Input::IREEInputDialect, linalg::LinalgDialect,
+        IREE::LinalgExt::IREELinalgExtDialect, memref::MemRefDialect,
+        func::FuncDialect, mlir::arith::ArithmeticDialect, math::MathDialect,
+        tensor::TensorDialect, scf::SCFDialect>();
+  }
+  void runOnOperation() override;
+};
+}  // namespace
+
+template <typename OpTy>
+static Value buildFlowWorkgroupInfoOp(OpBuilder &b, unsigned dim) {
+  return b.template create<OpTy>(b.getInsertionPoint()->getLoc(), dim);
+}
+
+void TiledOpInterfaceTilingPass::runOnOperation() {
+  FuncOp funcOp = getOperation();
+  MLIRContext *context = funcOp.getContext();
+
+  RewritePatternSet patterns(context);
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context, linalg::LinalgTilingOptions().setTileSizes({10, 20}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "tiling_input"),
+          StringAttr::get(context, "tiling_output")));
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context, linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{0}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "no_tiling_input"),
+          StringAttr::get(context, "no_tiling_output")));
+
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context, linalg::LinalgTilingOptions().setTileSizes({0, 20}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "outer_reduce_input"),
+          StringAttr::get(context, "outer_reduce_output")));
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context, linalg::LinalgTilingOptions().setTileSizes({10, 0, 0}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "inner_reduce_input"),
+          StringAttr::get(context, "inner_reduce_output")));
+
+  static linalg::LinalgLoopDistributionOptions workgroupDistributionOptions = {
+      [](OpBuilder &builder, Location loc, ArrayRef<Range> parallelLoopRanges) {
+        auto numParallelDims = parallelLoopRanges.size();
+
+        SmallVector<linalg::ProcInfo, 3> procInfo(numParallelDims);
+        for (size_t dim = 0; dim < numParallelDims; ++dim) {
+          procInfo[numParallelDims - dim - 1] = {
+              buildFlowWorkgroupInfoOp<IREE::Input::DispatchWorkgroupIDOp>(
+                  builder, dim),
+              buildFlowWorkgroupInfoOp<IREE::Input::DispatchWorkgroupCountOp>(
+                  builder, dim)};
+        }
+        return procInfo;
+      },
+      {linalg::DistributionMethod::Cyclic, linalg::DistributionMethod::Cyclic,
+       linalg::DistributionMethod::Cyclic},
+      DenseMap<StringRef,
+               std::function<linalg::ProcInfo(OpBuilder &, Location)>>()};
+
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context,
+      linalg::LinalgTilingOptions()
+          .setTileSizes(ArrayRef<int64_t>{10, 0, 30})
+          .setDistributionOptions(workgroupDistributionOptions),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "distribute_input"),
+          StringAttr::get(context, "distribute_output")));
+
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context,
+      linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{32}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "tiling_1d_stage5_fft_input"),
+          StringAttr::get(context, "tiling_1d_stage5_fft_output")));
+
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context,
+      linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{10, 32}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "tiling_2d_stage5_fft_input"),
+          StringAttr::get(context, "tiling_2d_stage5_fft_output")));
+
+  patterns.add<TiledOpInterfaceTilingPattern>(
+      context, linalg::LinalgTilingOptions().setTileSizes({0, 20}),
+      linalg::LinalgTransformationFilter(
+          StringAttr::get(context, "tiling_repeated_indices_scatter_input"),
+          StringAttr::get(context, "tiling_repeated_indices_scatter_output")));
+
+  if (failed(applyPatternsAndFoldGreedily(funcOp, std::move(patterns)))) {
+    return signalPassFailure();
+  }
+}
+
+std::unique_ptr<OperationPass<FuncOp>>
+IREE::LinalgExt::createTiledOpInterfaceTilingPass() {
+  return std::make_unique<TiledOpInterfaceTilingPass>();
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/CMakeLists.txt b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/CMakeLists.txt
index 0cd7fd0..a174ba1 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/CMakeLists.txt
@@ -1,25 +1,44 @@
-add_mlir_library(IREELinalgExtPasses
-  ConvertToLoops.cpp
-  PadContractionToBlockSize.cpp
-  Passes.cpp
+add_mlir_library(IREELinalgExtTransforms
+  InParallelToAsync.cpp
+  InParallelToSequentialFor.cpp
+  TilingExternalModels.cpp
+  TileToSequentialFor.cpp
+  TileToInParallel.cpp
   Tiling.cpp
+  TilingToTileOp.cpp
+  Utils.cpp
 
+  PARTIAL_SOURCES_INTENDED
   DEPENDS
-  IREELinalgExtTransformsPassesIncGen
+  mlir-headers
+  IREELinalgExtDialect
 
   LINK_LIBS PUBLIC
-  IREEInputDialect
   IREELinalgExtDialect
-  MLIRAffine
+
+  MLIRAffineToStandard
+  MLIRAsync
+  MLIRSCFToControlFlow
+  MLIRLinalgToLLVM
+  MLIRVectorToLLVM
+  MLIRMathToLLVM
+  MLIRMemRefToLLVM
   MLIRIR
+  MLIRMath
   MLIRLinalg
   MLIRLinalgTransforms
-  MLIRMath
-  MLIRMemRef
   MLIRPass
   MLIRSCF
-  MLIRFunc
-  MLIRSupport
-  MLIRTensor
   MLIRTransforms
 )
+
+add_mlir_library(IREELinalgExtOpInterfaceImpl
+  LinalgExtBufferization.cpp
+
+  PARTIAL_SOURCES_INTENDED
+  LINK_LIBS PUBLIC
+  IREELinalgExtDialect
+
+  MLIRBufferization
+  MLIRTensorTransforms
+)
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToAsync.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToAsync.cpp
new file mode 100644
index 0000000..64514bb
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToAsync.cpp
@@ -0,0 +1,91 @@
+//===- InParallelToAsync.cpp - Rewrite InParallel as Async ----------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include <cstdlib>
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+#include "llvm/ADT/STLExtras.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
+#include "mlir/Dialect/Async/IR/Async.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/SCF/SCF.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/AffineExpr.h"
+#include "mlir/IR/BlockAndValueMapping.h"
+#include "mlir/IR/BuiltinOps.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+FailureOr<Operation *> mlir::iree_compiler::IREE::LinalgExt::
+    InParallelOpToAsyncRewriter::returningMatchAndRewrite(
+        iree_compiler::IREE::LinalgExt::InParallelOp inParallelOp,
+        PatternRewriter &rewriter) const {
+  assert(inParallelOp.getNumResults() == 0 &&
+         "expected bufferized InParallelOp");
+
+  // Only consider the top level InParallelOp op and skip if it already
+  // contains an ExecuteOp.
+  if (inParallelOp
+          ->getParentOfType<iree_compiler::IREE::LinalgExt::InParallelOp>() ||
+      llvm::any_of(inParallelOp.getBody()->getOperations(),
+                   [](Operation &op) { return isa<async::ExecuteOp>(&op); }))
+    return failure();
+
+  auto *ctx = inParallelOp.getContext();
+  Location loc = inParallelOp.getLoc();
+  Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+  Value one = rewriter.create<arith::ConstantIndexOp>(loc, 1);
+  Value numThreads = inParallelOp.num_threads();
+
+  // Wrap the linalg_ext.in_parallel into an async::ExecuteOp.
+  // 1. Create the async::GroupType object on which we synchronize.
+  Value asyncGroup = rewriter.create<async::CreateGroupOp>(
+      loc, async::GroupType::get(ctx), numThreads);
+
+  // 2. Create a bodyless forOp.
+  scf::ForOp forOp = rewriter.create<scf::ForOp>(loc, zero, numThreads, one);
+  rewriter.setInsertionPointToStart(forOp.getBody());
+
+  // 3. Create an empty executeOp, nested within the forOp.
+  auto noopExec = [&](OpBuilder &executeBuilder, Location executeLoc,
+                      ValueRange executeArgs) {};
+  auto executeOp =
+      rewriter.create<async::ExecuteOp>(loc, /*resultTypes=*/TypeRange(),
+                                        /*dependencies=*/ValueRange(),
+                                        /*operands=*/ValueRange(), noopExec);
+
+  // 3. Steal the iree_compiler::IREE::LinalgExt::InParallel ops, except the
+  // terminator, into the body of the async::ExecuteOp, just before the
+  // terminator.
+  SmallVector<Value> bbArgsTranslated{forOp.getInductionVar()};
+  rewriter.mergeBlocks(&inParallelOp.region().front(), executeOp.getBody(),
+                       bbArgsTranslated);
+  // 3.b. Erase the terminator stolen from inParallelOp.
+  rewriter.eraseOp(&executeOp.getBody()->back());
+  // 3.c. Erase inParallelOp.
+  rewriter.eraseOp(inParallelOp);
+  // 3.d. Add ExecuteOp terminator.
+  rewriter.setInsertionPointToEnd(executeOp.getBody());
+  rewriter.create<async::YieldOp>(loc, ValueRange{});
+  // 3.e. Add to group within the loop.
+  rewriter.setInsertionPoint(forOp.getBody()->getTerminator());
+  rewriter.create<async::AddToGroupOp>(loc, rewriter.getIndexType(),
+                                       executeOp.token(), asyncGroup);
+
+  // 4. After the iree_compiler::IREE::LinalgExt::InParallel, await all async
+  // tasks in `asyncGroup`.
+  rewriter.setInsertionPointAfter(forOp);
+  return rewriter.create<async::AwaitAllOp>(loc, asyncGroup).getOperation();
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToSequentialFor.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToSequentialFor.cpp
new file mode 100644
index 0000000..683629b
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/InParallelToSequentialFor.cpp
@@ -0,0 +1,111 @@
+//===- InParallelToSequentialFor.cpp.cpp - Rewrite InParallel as ForOp ---===//
+//
+// 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
+//
+//===---------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+#include "llvm/ADT/STLExtras.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/SCF/SCF.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/AffineExpr.h"
+#include "mlir/IR/BlockAndValueMapping.h"
+#include "mlir/IR/BuiltinOps.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+namespace {
+
+SmallVector<Value> getValuesToYield(PerformConcurrentlyOp op) {
+  return llvm::to_vector(llvm::map_range(
+      op.yieldingOps(), [](ParallelInsertSliceOp op) { return op.dest(); }));
+}
+
+}  // namespace
+
+FailureOr<scf::ForOp> InParallelOpToScfForRewriter::returningMatchAndRewrite(
+    InParallelOp inParallelOp, PatternRewriter &rewriter) const {
+  // Construct the loop bounds based on the canonical arithmetic progression.
+  Location loc = inParallelOp.getLoc();
+  Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+  Value one = rewriter.create<arith::ConstantIndexOp>(loc, 1);
+  Value numThreads = inParallelOp.num_threads();
+
+  // Construct the op without a body builder: we need to clone the ops in the
+  // body explicitly after having access to the new bbArgs.
+  // As a consequence, `ensureTerminator` is not called and the `forOp` body
+  // has no terminator.
+  PerformConcurrentlyOp performConcurrentlyOp = inParallelOp.getTerminator();
+  SmallVector<Value> valuesToYield = getValuesToYield(performConcurrentlyOp);
+  scf::ForOp forOp =
+      rewriter.create<scf::ForOp>(loc, zero, numThreads, one, valuesToYield);
+
+  // Move the body while replacing the threadId by the forOp iv.
+  SmallVector<Value> bbArgsTranslated{forOp.getInductionVar()};
+  Block *body = forOp.getBody();
+  bool hasTerminator =
+      !body->empty() && body->back().hasTrait<OpTrait::IsTerminator>();
+  if (hasTerminator) {
+    rewriter.mergeBlockBefore(&inParallelOp.region().front(),
+                              body->getTerminator(), bbArgsTranslated);
+  } else {
+    rewriter.mergeBlocks(&inParallelOp.region().front(), body,
+                         bbArgsTranslated);
+  }
+
+  rewriter.setInsertionPointToStart(body);
+  BlockAndValueMapping bvm;
+  bvm.map(valuesToYield, forOp.getRegionIterArgs());
+
+  // Create sequential insertSlice ops.
+  SmallVector<Value> toYield;
+  rewriter.setInsertionPoint(performConcurrentlyOp);
+  for (ParallelInsertSliceOp op : performConcurrentlyOp.yieldingOps()) {
+    toYield.push_back(rewriter.createOrFold<tensor::InsertSliceOp>(
+        loc, op.source(), bvm.lookup(op.dest()), op.getMixedOffsets(),
+        op.getMixedSizes(), op.getMixedStrides()));
+  }
+
+  // performConcurrentlyOp.yieldedValues come from above, not from bbArgs.
+  // There is no rewriter method to make mergeBlocks update non-bbArgs.
+  // Need to manually clone + bvm all uses that are now nested under forOp.
+  // Warning: this replacement is currently optimistic and may change the
+  // semantics as explained in the pass description in Passes.td.
+  SmallVector<Operation *> opsToReplace;
+  for (Value toReplace : valuesToYield) {
+    for (OpOperand &u : toReplace.getUses()) {
+      Operation *op = u.getOwner();
+      if (!forOp->isProperAncestor(op)) continue;
+      opsToReplace.push_back(op);
+    }
+  }
+  for (Operation *op : opsToReplace) {
+    OpBuilder::InsertionGuard g(rewriter);
+    rewriter.setInsertionPoint(op);
+    Operation *cloned = rewriter.clone(*op, bvm);
+    rewriter.replaceOp(op, cloned->getResults());
+  }
+
+  // Insert terminator.
+  if (!hasTerminator) {
+    rewriter.setInsertionPointToEnd(body);
+    rewriter.create<scf::YieldOp>(loc, toYield);
+  }
+
+  // Cleanup and replace.
+  rewriter.eraseOp(performConcurrentlyOp);
+  rewriter.replaceOp(inParallelOp, forOp.getResults());
+
+  return forOp;
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/LinalgExtBufferization.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/LinalgExtBufferization.cpp
new file mode 100644
index 0000000..6a03048
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/LinalgExtBufferization.cpp
@@ -0,0 +1,347 @@
+//===-- LinalgExtBufferization.cpp - Linalg Extension bufferization -------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/LinalgExtBufferization.h"
+
+#include <mlir/IR/BuiltinOps.h>
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "mlir/Dialect/Bufferization/IR/BufferizableOpInterface.h"
+#include "mlir/Dialect/Bufferization/IR/Bufferization.h"
+#include "mlir/IR/PatternMatch.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+/// Return the destinations that an InParallelOp is inserting into. One per
+/// ParallelInsertSliceOp.
+static SmallVector<OpOperand *> getInsertionDest(InParallelOp inParallelOp) {
+  Operation *terminator = inParallelOp.region().front().getTerminator();
+  auto performConcOp = dyn_cast<PerformConcurrentlyOp>(terminator);
+  assert(performConcOp && "expected PerformConcurrentlyOp as terminator");
+
+  SmallVector<OpOperand *> result;
+  performConcOp.walk([&](ParallelInsertSliceOp insertOp) {
+    result.push_back(&insertOp->getOpOperand(1) /*dest*/);
+  });
+
+  return result;
+}
+
+namespace mlir {
+
+using bufferization::BufferizableOpInterface;
+using bufferization::BufferizationState;
+using bufferization::BufferRelation;
+using bufferization::getMemRefType;
+using bufferization::replaceOpWithBufferizedValues;
+using bufferization::replaceOpWithNewBufferizedOp;
+using tensor::ExtractSliceOp;
+
+namespace iree_compiler {
+namespace IREE {
+namespace LinalgExt {
+
+/// Bufferization of InParallelOp. This also bufferizes the terminator of the
+/// region. There are op interfaces for the terminators (PerformConcurrentlyOp
+/// and ParallelInsertSliceOp), but these are only used during analysis. Not
+/// for bufferization.
+struct InParallelOpInterface
+    : public BufferizableOpInterface::ExternalModel<InParallelOpInterface,
+                                                    InParallelOp> {
+  SmallVector<OpOperand *> getAliasingOpOperand(
+      Operation *op, OpResult opResult, const BufferizationState &state) const {
+    // Get OpOperand (dest) from corresponding ParallelInsertSliceOp.
+    auto inParallelOp = cast<InParallelOp>(op);
+    return {getInsertionDest(inParallelOp)[opResult.getResultNumber()]};
+  }
+
+  bool isMemoryWrite(Operation *op, OpResult opResult,
+                     const BufferizationState &state) const {
+    // This op is a memory write. Stop lookup here to avoid finding false
+    // conflicts involving this op and one of the ops in the region. This is
+    // similar to how scf.if ops are analyzed.
+    return true;
+  }
+
+  bool isAllocationHoistingBarrier(Operation *op) const { return true; }
+
+  BufferRelation bufferRelation(Operation *op, OpResult opResult,
+                                const BufferizationState &state) const {
+    return BufferRelation::Equivalent;
+  }
+
+  LogicalResult bufferize(Operation *op, RewriterBase &b,
+                          const BufferizationState &state) const {
+    OpBuilder::InsertionGuard g(b);
+    auto inParallelOp = cast<InParallelOp>(op);
+    Block *body = &inParallelOp.region().front();
+    Operation *oldTerminator = body->getTerminator();
+    assert(isa<PerformConcurrentlyOp>(oldTerminator) &&
+           "unexpected terminator");
+
+    // Gather new results of the InParallelOp.
+    SmallVector<Value> newResults;
+    for (OpResult opResult : inParallelOp->getOpResults()) {
+      SmallVector<OpOperand *> insertDestOperands =
+          state.getAliasingOpOperand(opResult);
+      assert(insertDestOperands.size() == 1 &&
+             "expected exactly one aliasing OpOperand");
+      // Insert copies right before the PerformConcurrentlyOp terminator. They
+      // should not be inside terminator (which would be the default insertion
+      // point).
+      Value buffer = *state.getBuffer(
+          b, *insertDestOperands.front(), /*forceInPlace=*/false,
+          /*customCopyInsertionPoint=*/oldTerminator);
+      newResults.push_back(buffer);
+      Value destTensor = insertDestOperands.front()->get();
+
+      // Replace all uses of the insert dest tensor inside the InParallelOp
+      // with the result buffer.
+      OpBuilder::InsertionGuard g(b);
+      b.setInsertionPointToStart(body);
+      Value toTensorOp =
+          b.create<bufferization::ToTensorOp>(inParallelOp.getLoc(), buffer);
+      for (OpOperand &use : destTensor.getUses())
+        if (body->findAncestorOpInBlock(*use.getOwner()))
+          // This is a use inside the InParallelOp.
+          use.set(toTensorOp);
+    }
+
+    // Create new InParallelOp without any results.
+    TypeRange newResultTypes;
+    auto newInParallelOp = b.create<InParallelOp>(
+        inParallelOp.getLoc(), newResultTypes, inParallelOp.num_threads());
+
+    // Delete terminator.
+    newInParallelOp.getBody()->getTerminator()->erase();
+
+    // Move over block contents of the old op.
+    b.mergeBlocks(inParallelOp.getBody(), newInParallelOp.getBody(),
+                  {newInParallelOp.getBody()->getArgument(0)});
+
+    // Bufferize terminator.
+    auto performConcurrentlyOp =
+        cast<PerformConcurrentlyOp>(newInParallelOp.getBody()->getTerminator());
+    b.setInsertionPoint(performConcurrentlyOp);
+    WalkResult walkResult =
+        performConcurrentlyOp.walk([&](ParallelInsertSliceOp insertOp) {
+          Location loc = insertOp.getLoc();
+          Type srcType = getMemRefType(
+              insertOp.source().getType().cast<RankedTensorType>(),
+              state.getOptions());
+          Type destType =
+              getMemRefType(insertOp.dest().getType().cast<RankedTensorType>(),
+                            state.getOptions());
+          // ParallelInsertSliceOp bufferizes to a copy.
+          auto srcMemref = b.create<bufferization::ToMemrefOp>(
+              loc, srcType, insertOp.source());
+          auto destMemref = b.create<bufferization::ToMemrefOp>(
+              loc, destType, insertOp.dest());
+          Value subview = b.create<memref::SubViewOp>(
+              loc, destMemref, insertOp.getMixedOffsets(),
+              insertOp.getMixedSizes(), insertOp.getMixedStrides());
+          // This memcpy will fold away if everything bufferizes in-place.
+          if (failed(createMemCpy(b, insertOp.getLoc(), srcMemref, subview,
+                                  state.getOptions())))
+            return WalkResult::interrupt();
+          b.eraseOp(insertOp);
+          return WalkResult::advance();
+        });
+    if (walkResult.wasInterrupted()) return failure();
+
+    // Replace the op.
+    replaceOpWithBufferizedValues(b, op, newResults);
+
+    return success();
+  }
+};
+
+/// Nothing to do for PerformConcurrentlyOp.
+struct PerformConcurrentlyOpInterface
+    : public BufferizableOpInterface::ExternalModel<
+          PerformConcurrentlyOpInterface, PerformConcurrentlyOp> {
+  LogicalResult bufferize(Operation *op, RewriterBase &b,
+                          const BufferizationState &state) const {
+    llvm_unreachable("op does not have any tensor OpOperands / OpResults");
+    return failure();
+  }
+};
+
+/// Return true if the (ExtractSliceOp, ParallelInsertSliceOp) pair match (i.e.
+/// equivalent operand / result and same offset/sizes/strides specification).
+static bool areEquivalentExtractSliceOps(const BufferizationState &state,
+                                         ExtractSliceOp st,
+                                         ParallelInsertSliceOp sti) {
+  if (!st || !sti) return false;
+  if (st != sti &&
+      !state.areEquivalentBufferizedValues(st.source(), sti.dest()))
+    return false;
+  if (!sameOffsetsSizesAndStrides(st, sti, isEqualConstantIntOrValue))
+    return false;
+  return true;
+}
+
+/// Return true if `value` is originating from an ExtractSliceOp that matches
+/// the given InsertSliceOp.
+static bool hasMatchingExtractSliceOp(const BufferizationState &state,
+                                      Value value,
+                                      ParallelInsertSliceOp insertOp) {
+  auto condition = [&](Value val) {
+    if (auto extractOp = val.getDefiningOp<ExtractSliceOp>())
+      if (areEquivalentExtractSliceOps(state, extractOp, insertOp)) return true;
+    return false;
+  };
+
+  return llvm::all_of(state.findValueInReverseUseDefChain(value, condition),
+                      condition);
+}
+
+/// Analysis of ParallelInsertSliceOp.
+struct ParallelInsertSliceOpInterface
+    : public BufferizableOpInterface::ExternalModel<
+          ParallelInsertSliceOpInterface, ParallelInsertSliceOp> {
+  SmallVector<OpResult> getAliasingOpResult(
+      Operation *op, OpOperand &opOperand,
+      const BufferizationState &state) const {
+    if (&opOperand != &op->getOpOperand(1) /*dest*/) return {};
+
+    // ParallelInsertSliceOp itself has no results. Tensors are returned via
+    // the parent op.
+    auto inParallelOp = op->getParentOfType<InParallelOp>();
+    assert(inParallelOp &&
+           "could not find valid owner of parallel_insert_slice");
+
+    // The i-th ParallelInsertSliceOp result is returned via the i-th OpResult
+    // of the parent InParallelOp.
+    Block *block = op->getBlock();
+    unsigned int opIdx = 0;
+    for (ParallelInsertSliceOp insertOp :
+         block->getOps<ParallelInsertSliceOp>()) {
+      if (insertOp.getOperation() == op) break;
+      ++opIdx;
+    }
+    assert(opIdx < inParallelOp->getNumResults() &&
+           "could not find op inside terminator op");
+
+    return {inParallelOp->getResult(opIdx)};
+  }
+
+  bool bufferizesToMemoryRead(Operation *op, OpOperand &opOperand,
+                              const BufferizationState &state) const {
+    return true;
+  }
+
+  bool bufferizesToMemoryWrite(Operation *op, OpOperand &opOperand,
+                               const BufferizationState &state) const {
+    return &opOperand == &op->getOpOperand(1) /*dest*/;
+  }
+
+  BufferRelation bufferRelation(Operation *op, OpResult opResult,
+                                const BufferizationState &state) const {
+    return BufferRelation::Equivalent;
+  }
+
+  LogicalResult bufferize(Operation *op, RewriterBase &b,
+                          const BufferizationState &state) const {
+    // Will be bufferized as part of InParallelOp.
+    return failure();
+  }
+
+  // TODO: This is copied from TensorInterfaceImpl.cpp. Find a way to share
+  // the code.
+  bool isNotConflicting(Operation *op, OpOperand *uRead,
+                        OpOperand *uConflictingWrite,
+                        const BufferizationState &state) const {
+    Operation *readingOp = uRead->getOwner();
+    Operation *conflictingWritingOp = uConflictingWrite->getOwner();
+
+    // Special rules for matching ExtractSliceOp/InsertSliceOp pairs. If
+    // uRead is an InsertSliceOp...
+    if (auto insertSliceOp = dyn_cast<ParallelInsertSliceOp>(readingOp)) {
+      // As an example, consider the following IR.
+      //
+      // %0 = tensor.extract_slice %t[%a, %b][%c, %d][1, 1] {inplace = [true] }
+      // %1 = linalg.fill %cst, %0 {inplace= [true] }
+      // %2 = tensor.insert_slice %1 into %t[%a, %b][%c, %d][1, 1]
+      //     {inplace= [true] }
+
+      // TODO: Use insertSliceOp.getDestOpOperand etc. when available.
+      if (uRead == &insertSliceOp->getOpOperand(1) /*dest*/ &&
+          hasMatchingExtractSliceOp(state, uConflictingWrite->get(),
+                                    insertSliceOp))
+        // Case 1: The main insight is that InsertSliceOp reads only part of
+        // the destination tensor. The overwritten area is not read. If
+        // uConflictingWrite writes into exactly the memory location that is
+        // being read by uRead, this is not a conflict.
+        //
+        // In the above example:
+        // uRead             = OpOperand 1 (%t) of tensor.insert_slice
+        // uConflictingWrite = OpOperand 1 (%0) of linalg.fill
+        //
+        // The read of %t does not conflict with the write of the FillOp
+        // (same aliases!) because the area that the FillOp operates on is
+        // exactly the one that is *not* read via %t.
+        return true;
+
+      if (uRead == &insertSliceOp->getOpOperand(0) /*source*/ &&
+          uConflictingWrite == &insertSliceOp->getOpOperand(1) /*dest*/ &&
+          hasMatchingExtractSliceOp(state, uRead->get(), insertSliceOp))
+        // Case 2: The read of the source tensor and the write to the dest
+        // tensor via an InsertSliceOp is not a conflict if the read is
+        // reading exactly that part of an equivalent tensor that the
+        // InsertSliceOp is writing.
+        //
+        // In the above example:
+        // uRead             = OpOperand 0 (%1) of tensor.insert_slice
+        // uConflictingWrite = OpOperand 1 (%t) of tensor.insert_slice
+        return true;
+    }
+
+    // If uConflictingWrite is an InsertSliceOp...
+    if (auto insertSliceOp =
+            dyn_cast<ParallelInsertSliceOp>(conflictingWritingOp))
+      // As an example, consider the following IR.
+      //
+      // %0 = tensor.extract_slice %t[%a, %b][%c, %d][1, 1] {inplace = [true] }
+      // %1 = linalg.fill %cst, %0 {inplace= [true] }
+      // %2 = tensor.insert_slice %1 into %t[%a, %b][%c, %d][1, 1]
+      //     {inplace= [true] }
+      // %3 = vector.transfer_read %1, %cst
+      //
+      // In the above example:
+      // uRead             = OpOperand 0 (%1) of vector.transfer_read
+      // uConflictingWrite = OpOperand 1 (%t) of tensor.insert_slice
+      // lastWrite         = %1
+      //
+      // This is not a conflict because the InsertSliceOp overwrites the
+      // memory segment of %1 with the exact same data. (Effectively, there
+      // is no memory write here.)
+      if (uConflictingWrite == &insertSliceOp->getOpOperand(1) /*dest*/ &&
+          state.areEquivalentBufferizedValues(uRead->get(),
+                                              insertSliceOp.source()) &&
+          hasMatchingExtractSliceOp(state, insertSliceOp.source(),
+                                    insertSliceOp))
+        return true;
+
+    return false;
+  }
+};
+}  // namespace LinalgExt
+}  // namespace IREE
+}  // namespace iree_compiler
+}  // namespace mlir
+
+void mlir::iree_compiler::IREE::LinalgExt::
+    registerBufferizableOpInterfaceExternalModels(DialectRegistry &registry) {
+  registry.addOpInterface<InParallelOp, InParallelOpInterface>();
+  registry
+      .addOpInterface<PerformConcurrentlyOp, PerformConcurrentlyOpInterface>();
+  registry
+      .addOpInterface<ParallelInsertSliceOp, ParallelInsertSliceOpInterface>();
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToInParallel.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToInParallel.cpp
new file mode 100644
index 0000000..83ece71
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToInParallel.cpp
@@ -0,0 +1,132 @@
+//===- TileToInParallel.cpp.cpp - Rewrite TileOp as InParallel -----------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+#include "llvm/ADT/STLExtras.h"
+#include "llvm/Support/raw_ostream.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/SCF/SCF.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/AffineExpr.h"
+#include "mlir/IR/Builders.h"
+#include "mlir/IR/BuiltinOps.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+FailureOr<iree_compiler::IREE::LinalgExt::InParallelOp> mlir::iree_compiler::
+    IREE::LinalgExt::TileOpToInParallelRewriter::returningMatchAndRewrite(
+        iree_compiler::IREE::LinalgExt::TileOp tileOp,
+        PatternRewriter &rewriter) const {
+  // TODO: verifier.
+  assert(tileOp.getNumResults() > 0 &&
+         tileOp.outs().size() == tileOp.getNumResults());
+
+  // TODO: when supported, iterate over the tensor of sizes. This will be
+  // iterating through a level of indirection.
+
+  int64_t tiledDim = tileOp.tiled_dim();
+
+  // Construct the loop bounds based on the canonical arithmetic progression.
+  Location loc = tileOp.getLoc();
+  Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+  Value tiledDimValue = rewriter.create<arith::ConstantIndexOp>(loc, tiledDim);
+  Value one = rewriter.create<arith::ConstantIndexOp>(loc, 1);
+  Value totalSize =
+      rewriter.create<tensor::DimOp>(loc, tileOp.outs().front(), tiledDimValue);
+  Value step = tileOp.tile_size();
+  assert(step.getType().isa<IndexType>() && "NYI: not an index type");
+
+  using AV = AffineValueExpr;
+  AffineBuilder ab(rewriter, loc);
+  AffineExpr i, j, M;
+  bindDims(rewriter.getContext(), i, j);
+  bindSymbols(rewriter.getContext(), M);
+  Value numThreads = ab.ceil(AV(i).bind(totalSize), AV(M).bind(step));
+
+  // Construct the op without a body builder: we need to clone the ops in the
+  // body explicitly after having access to the new bbArgs.
+  // As a consequence, `ensureTerminator` is not called and the body has no
+  // terminator.
+  iree_compiler::IREE::LinalgExt::InParallelOp inParallelOp =
+      rewriter.create<iree_compiler::IREE::LinalgExt::InParallelOp>(
+          loc, tileOp->getResultTypes(), numThreads);
+
+  // At the beginning of the InParallelOp, compute offset and sizes.
+  rewriter.setInsertionPointToStart(inParallelOp.getBody());
+
+  // Materialize the implicit subtensors as explicit subset_extract.
+  // TODO: generalize to multiple offset/chunk_size bbargs if needed.
+  // TODO: generalize the subset op.
+  SmallVector<Value> leadingOffsets, leadingSizes, leadingStrides;
+  for (int64_t i = 0; i < tiledDim; ++i) {
+    leadingOffsets.push_back(zero);
+    leadingSizes.push_back(
+        rewriter.createOrFold<tensor::DimOp>(loc, tileOp.outs().front(), i));
+    leadingStrides.push_back(one);
+  }
+  // clang-format off
+    Value offset = ab.mul(AV(i).bind(inParallelOp.getThreadIndex()), 
+                          AV(M).bind(step));
+    Value size = ab.min(
+      ValueRange{ab.sub(AV(i).bind(totalSize), AV(j).bind(offset)),
+      step});
+  // clang-format on
+  leadingOffsets.push_back(offset);
+  leadingSizes.push_back(size);
+  leadingStrides.push_back(one);
+
+  SmallVector<Value> implicitSubtensorExtracts;
+  for (Value tensor : tileOp.outs()) {
+    implicitSubtensorExtracts.push_back(
+        createSubsetExtractOpFromLeadingOffsetsSizesAndStrides(
+            rewriter, loc, tensor, leadingOffsets, leadingSizes,
+            leadingStrides));
+  }
+
+  // Get a reference to the TileOp terminator before the body is merged and it
+  // becomes too hard to get to the terminator.
+  auto tileYieldOp = cast<TileYieldOp>(tileOp.getBody()->getTerminator());
+
+  // Regroup the values that replace the tileOp's bbArg and move the body.
+  SmallVector<Value> bbArgsTranslated{offset, size};
+  llvm::append_range(bbArgsTranslated, implicitSubtensorExtracts);
+  rewriter.mergeBlockBefore(&tileOp.region().front(),
+                            inParallelOp.getBody()->getTerminator(),
+                            bbArgsTranslated);
+
+  // tileOp's terminator is not the terminator, insert explicit subset_insert
+  // ops and feed them to a new scf.yield terminator that we can now add.
+  PerformConcurrentlyOp performConcurrentlyOp = inParallelOp.getTerminator();
+
+  for (auto it : llvm::zip(tileYieldOp->getOperands(), tileOp.outs())) {
+    SmallVector<Value> offsets, sizes, strides;
+    completeOffsetsSizesAndStrides(rewriter, loc, std::get<0>(it),
+                                   leadingOffsets, leadingSizes, leadingStrides,
+                                   offsets, sizes, strides);
+    OpBuilder::InsertionGuard g(rewriter);
+    rewriter.setInsertionPoint(
+        performConcurrentlyOp.getBody()->getTerminator());
+    createParallelInsertSliceOpFromLeadingOffsetsSizesAndStrides(
+        rewriter, loc, std::get<0>(it), std::get<1>(it), offsets, sizes,
+        strides);
+  }
+
+  // Cleanup and replace.
+  rewriter.eraseOp(tileYieldOp);
+  rewriter.replaceOp(tileOp, inParallelOp.getResults());
+
+  return inParallelOp;
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToSequentialFor.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToSequentialFor.cpp
new file mode 100644
index 0000000..657eedd
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TileToSequentialFor.cpp
@@ -0,0 +1,106 @@
+//===- LowerToSCF.cpp.cpp - Lower to SCF ---------------------------------===//
+//
+// 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
+//
+//===---------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+#include "llvm/ADT/STLExtras.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/SCF/SCF.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/AffineExpr.h"
+#include "mlir/IR/BuiltinTypes.h"
+#include "mlir/IR/OpDefinition.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+FailureOr<scf::ForOp> mlir::iree_compiler::IREE::LinalgExt::
+    TileOpToSCFRewriter::returningMatchAndRewrite(
+        iree_compiler::IREE::LinalgExt::TileOp tileOp,
+        PatternRewriter &rewriter) const {
+  // TODO: verifier.
+  assert(tileOp.getNumResults() > 0 &&
+         tileOp.outs().size() == tileOp.getNumResults());
+
+  // TODO: when supported, iterate over the tensor of sizes. This will be
+  // iterating through a level of indirection.
+
+  // Construct the loop bounds based on the canonical arithmetic progression.
+  Location loc = tileOp.getLoc();
+  Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+  Value one = rewriter.create<arith::ConstantIndexOp>(loc, 1);
+  Value totalSize =
+      rewriter.create<tensor::DimOp>(loc, tileOp.outs().front(), zero);
+  Value step = tileOp.tile_size();
+  assert(step.getType().isa<IndexType>() && "NYI: not an index type");
+
+  // Construct the op without a body builder: we need to clone the ops in the
+  // body explicitly after having access to the new bbArgs.
+  // As a consequence, `ensureTerminator` is not called and the body has no
+  // terminator.
+  scf::ForOp forOp =
+      rewriter.create<scf::ForOp>(loc, zero, totalSize, step, tileOp.outs());
+
+  rewriter.setInsertionPointToStart(forOp.getBody());
+
+  // TODO: when supported, also compute from the tensor of sizes.
+  using AV = AffineValueExpr;
+  AffineBuilder ab(rewriter, loc);
+  AffineExpr i, j, M;
+  bindDims(rewriter.getContext(), i, j);
+  bindSymbols(rewriter.getContext(), M);
+
+  // Materialize the implicit subtensors as explicit subset_extract.
+  // TODO: generalize to multiple offset/chunk_size bbargs if needed.
+  // TODO: generalize the subset op.
+  Value offset = forOp.getInductionVar();
+  // clang-format off
+    Value size = ab.min(
+      ValueRange{ab.sub(AV(i).bind(totalSize), AV(j).bind(offset)),
+      step});
+  // clang-format on
+  SmallVector<Value> implicitSubtensorExtracts;
+  for (Value tensor : forOp.getRegionIterArgs()) {
+    implicitSubtensorExtracts.push_back(
+        createSubsetExtractOpFromLeadingOffsetsSizesAndStrides(
+            rewriter, loc, tensor, offset, size, one));
+  }
+
+  // Regroup the values that replace the tileOp's bbArg and move the body.
+  SmallVector<Value> bbArgsTranslated{offset, size};
+  llvm::append_range(bbArgsTranslated, implicitSubtensorExtracts);
+  rewriter.mergeBlocks(&tileOp.region().front(), forOp.getBody(),
+                       bbArgsTranslated);
+  // tileOp's terminator is not the terminator, insert explicit subset_insert
+  // ops and feed them to a new scf.yield terminator that we can now add.
+  auto tileYieldOp = cast<TileYieldOp>(&forOp.getBody()->back());
+  SmallVector<Value> implicitSubtensorInserts;
+  for (auto it : llvm::zip(implicitSubtensorExtracts, tileYieldOp.getOperands(),
+                           forOp.getRegionIterArgs())) {
+    implicitSubtensorInserts.push_back(createMatchingSubsetInsertOp(
+        rewriter, loc,
+        /*subsetExtractOp=*/
+        std::get<0>(it).getDefiningOp<tensor::ExtractSliceOp>(),
+        /*source=*/std::get<1>(it), /*dest=*/std::get<2>(it)));
+  }
+  // Insert terminator.
+  rewriter.setInsertionPointToEnd(forOp.getBody());
+  rewriter.create<scf::YieldOp>(loc, implicitSubtensorInserts);
+
+  // Cleanup and replace.
+  rewriter.eraseOp(tileYieldOp);
+  rewriter.replaceOp(tileOp, forOp.getResults());
+
+  return forOp;
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Tiling.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Tiling.cpp
index 25df1f8..0e55970 100644
--- a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Tiling.cpp
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Tiling.cpp
@@ -1,360 +1,216 @@
-// Copyright 2021 The IREE Authors
+//===- Tiling.cpp - Tiling using TilingInterface --------------------------===//
 //
-// Licensed under the Apache License v2.0 with LLVM Exceptions.
+// 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
+//
+//===----------------------------------------------------------------------===//
 
-#include "iree-dialects/Dialect/Input/InputDialect.h"
-#include "iree-dialects/Dialect/Input/InputOps.h"
-#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtDialect.h"
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/PassDetail.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
-#include "llvm/ADT/TypeSwitch.h"
-#include "mlir/Dialect/Affine/IR/AffineOps.h"
-#include "mlir/Dialect/Func/IR/FuncOps.h"
-#include "mlir/Dialect/Linalg/IR/Linalg.h"
-#include "mlir/Dialect/MemRef/IR/MemRef.h"
-#include "mlir/Dialect/SCF/SCF.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+#include "mlir/Dialect/Linalg/Transforms/Transforms.h"
+#include "mlir/Dialect/Linalg/Utils/Utils.h"
 #include "mlir/Dialect/Tensor/IR/Tensor.h"
-#include "mlir/Dialect/Utils/StaticValueUtils.h"
-#include "mlir/IR/Matchers.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/OperationSupport.h"
 #include "mlir/IR/PatternMatch.h"
 #include "mlir/Transforms/GreedyPatternRewriteDriver.h"
 
 using namespace mlir;
-namespace IREE = mlir::iree_compiler::IREE;
-using namespace IREE::LinalgExt;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
 
-//===----------------------------------------------------------------------===//
-// Utility methods for tiling a linalg_ext operation that implements a
-// TiledOpInterface
-//===----------------------------------------------------------------------===//
+// TODO: connect these patterns to PDL. Either via the transform dialect or via
+// PDLL.
 
-/// Returns failure if the options are unsupported.
-static LogicalResult verifySupportedTilingOptions(
-    PatternRewriter &rewriter, Operation *op,
-    const linalg::LinalgTilingOptions &options) {
-  if (!options.interchangeVector.empty()) {
-    return rewriter.notifyMatchFailure(op,
-                                       "unsupported interchange during tiling");
+static bool isZero(Value v) {
+  if (auto cst = v.getDefiningOp<arith::ConstantIndexOp>())
+    return cst.value() == 0;
+  return false;
+}
+
+SmallVector<Value> tileToSCF(PatternRewriter &rewriter, TilingInterface op,
+                             TilingInterface clonedOp, ValueRange tileSizes) {
+  // Compute lower and upper bounds of the loop nest.
+  SmallVector<Range> ranges = clonedOp.getIterationDomain(rewriter);
+  assert(tileSizes.size() <= ranges.size() &&
+         "expected tile sizes to match the number of loops");
+
+  // Fill the tile sizes with zeros for the untiled dimensions.
+  Location loc = op->getLoc();
+  SmallVector<Value> tileSizesVec(tileSizes.begin(), tileSizes.end());
+  if (ranges.size() != tileSizes.size()) {
+    Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+    tileSizesVec.resize(ranges.size(), zero);
   }
-  if (options.loopType != linalg::LinalgTilingLoopType::Loops) {
-    return rewriter.notifyMatchFailure(op,
-                                       "only tiling with scf.for is supported");
-  }
-  if (options.distribution) {
-    if (llvm::any_of(options.distribution->distributionMethod,
-                     [](linalg::DistributionMethod method) {
-                       return method != linalg::DistributionMethod::Cyclic;
-                     })) {
-      return rewriter.notifyMatchFailure(op,
-                                         "only cyclic distibution is allowed");
+
+  SmallVector<Value> lbs, dims, allDims, steps;
+  for (auto it : llvm::enumerate(ranges)) {
+    allDims.push_back(it.value().size);
+    if (!isZero(tileSizesVec[it.index()])) {
+      lbs.push_back(it.value().offset);
+      dims.push_back(it.value().size);
+      steps.push_back(tileSizesVec[it.index()]);
     }
   }
-  return success();
-}
 
-/// Converts an `OpFoldResult` to a `Value` by building a constant op if
-/// if the `OpFoldResult` is an `IntegerAttr`.
-static Value getValue(OpBuilder &builder, Location loc,
-                      OpFoldResult valueOrAttr) {
-  if (auto attr = valueOrAttr.dyn_cast<Attribute>()) {
-    return builder.create<arith::ConstantIndexOp>(
-        loc, attr.cast<IntegerAttr>().getInt());
-  }
-  return valueOrAttr.get<Value>();
-}
-
-/// Returns true if loop is untiled. Only checks if the value is statically
-/// zero. It is assumed that a `Value` defined by a constant op is already
-/// converted to an `IntegerAttr` of that value. So here just return true if
-/// this is an attribute with a zero value.
-static bool isUntiledLoop(OpFoldResult valueOrAttr) {
-  Optional<int64_t> intVal = getConstantIntValue(valueOrAttr);
-  return intVal && *intVal == 0;
-}
-
-/// Generates the tiled loops and the body by invoking the interface methods of
-/// TiledOpInterface.
-/// - `outputs` are the operands to use for outputs of the tiled operation.
-/// - `tileSizes` are tile sizes specified for all loops of the operation. If a
-///   loop is to be untiled it is set to 0.
-/// - `iteratorType` is the type of the loop iterator returned by the
-///   TiledOpInterface.
-/// - `loopBounds` are the bounds of all the loops of the op returned by the
-///   TiledOpInterface.
-/// - `loopDepth` is the current loop depth being processed.
-/// - `offsets` are the `Value`s that represent the position of the tile being
-///   operated on. The offsets are computed as the tiled loops are being
-///   generated.
-/// - `distributionInfo` is the proc_id and nprocs `Value`s to be used for
-///   distributed loops. It is a stack, and once an entry at the top of the
-///   stack is used for distribution it is popped before processing the inner
-///   loops.
-static FailureOr<TiledOp> tileInterfaceOpImpl(
-    OpBuilder &builder, TiledOpInterface tilableOp, ValueRange outputs,
-    MutableArrayRef<OpFoldResult> tileSizes, ArrayRef<StringRef> iteratorTypes,
-    ArrayRef<Range> loopBounds, unsigned loopDepth,
-    SmallVectorImpl<OpFoldResult> &offsets,
-    ArrayRef<linalg::ProcInfo> distributionInfo) {
-  Location loc = tilableOp.getLoc();
-  // If this is the innermost loop, then generated the tiled implementation of
-  // the op by invoking the TiledOpInterface methods.
-  if (loopDepth == tileSizes.size()) {
-    TiledOp ret;
-    ret.op = tilableOp.getTiledImplementation(builder, outputs, offsets,
-                                              tileSizes, ret.results);
-    if (!ret.op) {
-      return static_cast<LogicalResult>(
-          tilableOp.emitOpError("failed to get tiled implementation"));
-    }
-    return ret;
-  }
-
-  // If tile size at this depth is empty, do nothing.
-  if (isUntiledLoop(tileSizes[loopDepth])) {
-    auto zeroAttr = builder.getI64IntegerAttr(0);
-    offsets.push_back(zeroAttr);
-    assert(matchPattern(loopBounds[loopDepth].offset, m_Zero()) &&
-           "expected loop bounds to have lower bound of zero");
-    tileSizes[loopDepth] = getAsOpFoldResult(loopBounds[loopDepth].size);
-    return tileInterfaceOpImpl(builder, tilableOp, outputs, tileSizes,
-                               iteratorTypes, loopBounds, loopDepth + 1,
-                               offsets, distributionInfo);
-  }
-
-  // Generate an scf.for for the current loop depth.
-  Value lb = loopBounds[loopDepth].offset;
-  Value ub = loopBounds[loopDepth].size;
-  // TODO(#7073): Put the check back. This is required by tiling linalg_ext.fft
-  // op. We can put the check back after updating linalg_ext.fft semantics.
-  // if (!matchPattern(loopBounds[loopDepth].stride, m_One())) {
-  // return static_cast<LogicalResult>(
-  // tilableOp.emitOpError("expected stride to be 1"));
-  //}
-  Value step = getValue(builder, loc, tileSizes[loopDepth]);
-
-  // Update lb, ub and step for cyclic distribution.
-  if (!distributionInfo.empty() &&
-      iteratorTypes[loopDepth] == getParallelIteratorTypeName()) {
-    linalg::updateBoundsForCyclicDistribution(
-        builder, loc, distributionInfo.front().procId,
-        distributionInfo.front().nprocs, lb, ub, step);
-    distributionInfo = distributionInfo.drop_front();
-  }
-  FailureOr<TiledOp> innerReturnValue;
-  bool isBufferTiling = tilableOp->getNumResults() == 0;
-  ValueRange initValues(isBufferTiling ? ValueRange{} : outputs);
-  auto forOp = builder.create<scf::ForOp>(
-      loc, lb, ub, step, initValues,
-      [&](OpBuilder &b, Location loc, Value iv, ValueRange args) {
-        offsets.push_back(iv);
-        auto affineMaps = AffineMap::inferFromExprList({ArrayRef<AffineExpr>{
-            b.getAffineSymbolExpr(0),
-            b.getAffineSymbolExpr(1) - b.getAffineDimExpr(0)}})[0];
-        // Similar to linalg tiling, the tile size is the min(tileSizes, ub -
-        // iv) to account for cases where tile size does not divide (ub - lb)
-        // exactly.
-        Value inBoundsTileSize = b.create<AffineMinOp>(
-            loc, affineMaps,
-            ValueRange{iv, getValue(builder, loc, tileSizes[loopDepth]), ub});
-        tileSizes[loopDepth] = getAsOpFoldResult(inBoundsTileSize);
-        // Recursively proceed to generate the tiled loop for the next level.
-        innerReturnValue =
-            tileInterfaceOpImpl(b, tilableOp, (isBufferTiling ? outputs : args),
-                                tileSizes, iteratorTypes, loopBounds,
-                                loopDepth + 1, offsets, distributionInfo);
-        if (failed(innerReturnValue)) return;
-        b.create<scf::YieldOp>(loc, innerReturnValue->results);
+  // Generate loop nest: One loop per dimension.
+  llvm::SmallPtrSet<Operation *, 1> preservedUses;
+  SmallVector<Value> destOperand = clonedOp.getDestinationOperands(rewriter);
+  auto loopNest = mlir::scf::buildLoopNest(
+      rewriter, loc, lbs, /*ubs=*/dims, steps, ValueRange(destOperand),
+      [&](OpBuilder &b, Location loc, ValueRange localIvs,
+          ValueRange iterArgs) -> scf::ValueVector {
+        // Compute offsets and sizes of ExtractSliceOp.
+        SmallVector<Value> offsets =
+            linalg::computeTileOffsets(b, loc, localIvs, tileSizesVec);
+        SmallVector<Value> sizes =
+            linalg::computeTileSizes(b, loc, localIvs, tileSizesVec, allDims);
+        // Create ExtractSliceOp: Extract a tile from the PadOp.
+        // Note: The PadOp is located outside of the loop nest. It is
+        // later moved inside by ExtractSliceOfPadTensorSwapPattern.
+        auto map =
+            AffineMap::getMultiDimIdentityMap(ranges.size(), b.getContext());
+        assert(clonedOp->getNumResults() == 1 && "expected single result op");
+        Value tiledOutput =
+            linalg::makeTiledShape(b, loc, clonedOp->getResult(0), tileSizesVec,
+                                   map, offsets, allDims, sizes);
+        auto sliceOp = tiledOutput.getDefiningOp<tensor::ExtractSliceOp>();
+        preservedUses.insert(sliceOp);
+        assert(sliceOp && "expected ExtractSliceOp");
+        // Insert the tile into the output tensor.
+        Value yieldValue =
+            createMatchingSubsetInsertOp(b, loc, sliceOp, sliceOp, iterArgs[0]);
+        return scf::ValueVector({yieldValue});
       });
-  if (failed(innerReturnValue)) {
-    return innerReturnValue;
-  }
-  innerReturnValue->loops.insert(innerReturnValue->loops.begin(),
-                                 forOp.getOperation());
-  innerReturnValue->results = forOp.getResults();
-  return innerReturnValue;
+  return loopNest.getResults();
 }
 
-FailureOr<TiledOp> tileInterfaceOp(OpBuilder &b, TiledOpInterface tilableOp,
-                                   const linalg::LinalgTilingOptions &options) {
-  SmallVector<Value> dest = tilableOp.getDestinationOperands(b);
-  if (dest.empty()) {
-    return static_cast<LogicalResult>(tilableOp.emitOpError(
-        "cannot tile operation without destination operands"));
-  }
-
-  SmallVector<StringRef> iteratorTypes = tilableOp.getLoopIteratorTypes();
-  SmallVector<Value, 4> tileSizesVals =
-      options.tileSizeComputationFunction(b, tilableOp);
-  auto zeroAttr = b.getI64IntegerAttr(0);
-
-  // The actual tile sizes used converts `Value` defined as constant 0, to a
-  // zero integer attributes. Currently if the iterator type is not "parallel",
-  // the tile size is forced to zero as well.
-  auto tileSizes = getAsOpFoldResult(tileSizesVals);
-  tileSizes.resize(iteratorTypes.size(), zeroAttr);
-  for (auto en : llvm::enumerate(iteratorTypes)) {
-    if (en.value() == getParallelIteratorTypeName()) continue;
-    if (!isUntiledLoop(tileSizes[en.index()])) {
-      return static_cast<LogicalResult>(tilableOp.emitOpError(
-          "unimplemented tiling of non-parallel loop iterator type"));
-    }
-  }
-
-  // Trivial early exit case of tile sizes being zero for all parallel loops.
-  if (llvm::all_of(tileSizes, isUntiledLoop)) {
-    return TiledOp{tilableOp, {}, {}};
-  }
-
-  SmallVector<Range> loopBounds = tilableOp.getIterationDomain(b);
-  SmallVector<linalg::ProcInfo> distributionInfo;
-  // If the tiled loops are distributed, get the proc_id and nprocs for the
-  // distributed loops. First collect the parallel loops by iterating over the
-  // tileSizes and getting the loops that are distribute, i.e.,
-  // - parallel, i.e. iteratorTypes is "parallel"
-  // - tiled, i.e. tileSize != 0
-  if (options.distribution) {
-    SmallVector<Range> distributedLoopRange;
-    for (auto i : llvm::seq<unsigned>(0, tileSizes.size())) {
-      if (isUntiledLoop(tileSizes[i])) continue;
-      if (iteratorTypes[i] != getParallelIteratorTypeName()) continue;
-      distributedLoopRange.push_back(loopBounds[i]);
-    }
-    distributionInfo = options.distribution->procInfo(b, tilableOp.getLoc(),
-                                                      distributedLoopRange);
-  }
-
-  SmallVector<OpFoldResult> offsets;
-  return tileInterfaceOpImpl(b, tilableOp, dest, tileSizes, iteratorTypes,
-                             loopBounds, 0, offsets, distributionInfo);
-}
-
-LogicalResult TiledOpInterfaceBaseTilingPattern::matchAndRewriteBase(
-    TiledOpInterface tilableOp, PatternRewriter &rewriter,
-    TiledOp &result) const {
-  if (failed(filter.checkAndNotify(rewriter, tilableOp))) {
-    return failure();
-  }
-  if (failed(verifySupportedTilingOptions(rewriter, tilableOp, options))) {
-    return failure();
-  }
-
-  FailureOr<TiledOp> res = tileInterfaceOp(rewriter, tilableOp, options);
-  if (failed(res)) return res;
-  result = *res;
-  if (result.op) {
-    filter.replaceLinalgTransformationFilter(rewriter, result.op);
-  }
-  return success();
-}
-
-//===----------------------------------------------------------------------===//
-// Test pass for tiling Linalg Ext ops
-//===----------------------------------------------------------------------===//
-
 namespace {
-struct TiledOpInterfaceTilingPass
-    : public TiledOpInterfaceTilingBase<TiledOpInterfaceTilingPass> {
-  void getDependentDialects(DialectRegistry &registry) const override {
-    registry.insert<
-        AffineDialect, IREE::Input::IREEInputDialect, linalg::LinalgDialect,
-        IREE::LinalgExt::IREELinalgExtDialect, memref::MemRefDialect,
-        func::FuncDialect, mlir::arith::ArithmeticDialect, math::MathDialect,
-        tensor::TensorDialect, scf::SCFDialect>();
+
+/// The tiling here works by two steps. The first step is to create a loop based
+/// on the loop bounds of the operation obtained from `TilingInterface`.
+///
+/// ```mlir
+///   %1 = <tiling interface op> ins(...) outs(%0 : ...)
+///   ... <use_op> ... %1 ...
+/// ```
+///
+/// is rewritten using a "noop" subtensor extract/insert pair
+///
+/// ```mlir
+///   %1 = <tiling interface op> ins(...) outs(%0 : ...)
+///   %2 = scf.for %iv0 = ... iter_args(%arg0 = %0) {
+///     %3 = scf.for %iv1 = ... iter_args(%arg1 = %arg0) {
+///       ...
+///       %4 = tensor.extract_slice %1[%iv0, %iv1]....
+///       %5 = tensor.insert_slice %4 into %arg1[%iv0, %iv1]...
+///       scf.yield %5
+///     }
+///     scf.yield %3
+///   }
+///   ... <use_op> ... %2 ...
+/// ```
+///
+/// Following this the `TilingInterface` -> `tensor::ExtractSliceOp` pattern is
+/// replaced with
+///
+/// /// ```mlir
+///   %2 = scf.for %iv0 = ... iter_args(%arg0 = %0) {
+///     %3 = scf.for %iv1 = ... iter_args(%arg1 = %arg0) {
+///       ...
+///       %4 = tensor.extract_slice %0[%iv0, %iv1]
+///       %5 = <tiling interface op> ins(...) outs(%4 : ...)
+///       %6 = tensor.insert_slice %5 into %arg1[%iv0, %iv1]...
+///       scf.yield %6
+///     }
+///     scf.yield %3
+///   }
+///   ... <use_op> ... %2 ...
+/// ```
+///
+/// TODO(ravishankarm): The current approach seems to work for only tiling the
+/// parallel loops of the operation. Specifically,
+/// 1) the `%0` in the third snippet needs to be `%arg1`, for cases where the
+///    tiled loop is a reduction.
+/// 2) Current implementation is using the `getIterationDomain` method to get
+/// the
+///    initial loop structure as described in the second snippet. If any of
+///    those loops are reductions, then that IR snippet itself is wrong (replace
+///    this with the case of `linalg.matmul` and the error becomes apparent).
+
+/// First pattern to introduce the loop nests.
+struct OpTilingPattern : public OpInterfaceRewritePattern<TilingInterface> {
+  OpTilingPattern(MLIRContext *context, linalg::LinalgTilingOptions opt,
+                  linalg::LinalgTransformationFilter filt)
+      : OpInterfaceRewritePattern<TilingInterface>(context),
+        options(opt),
+        filter(filt) {}
+
+  LogicalResult matchAndRewrite(TilingInterface op,
+                                PatternRewriter &rewriter) const override {
+    if (failed(filter.checkAndNotify(rewriter, op))) return failure();
+
+    /// Currently only handle single result operations.
+    if (op->getNumResults() != 1) return failure();
+
+    Location loc = op->getLoc();
+    // Get rank and tile sizes.
+    SmallVector<Value> tileSizes =
+        options.tileSizeComputationFunction(rewriter, op);
+    auto iteratorTypes = op.getLoopIteratorTypes();
+    Value zero = rewriter.create<arith::ConstantIndexOp>(loc, 0);
+    tileSizes.resize(iteratorTypes.size(), zero);
+
+    /// Currently only handle operations with all parallel iterator types.
+    for (auto iteratorType : enumerate(iteratorTypes)) {
+      if (iteratorType.value() != getParallelIteratorTypeName() &&
+          !isZero(tileSizes[iteratorType.index()])) {
+        return rewriter.notifyMatchFailure(
+            op, "unhandled tiling of non-parallel iterator");
+      }
+    }
+
+    auto clonedOp = cast<TilingInterface>(rewriter.clone(*op.getOperation()));
+    SmallVector<Value> results = tileToSCF(rewriter, op, clonedOp, tileSizes);
+
+    filter.replaceLinalgTransformationFilter(rewriter, clonedOp);
+    rewriter.replaceOp(op, results);
+    return success();
   }
-  void runOnOperation() override;
+
+ private:
+  linalg::LinalgTilingOptions options;
+  linalg::LinalgTransformationFilter filter;
 };
-}  // namespace
 
-template <typename OpTy>
-static Value buildFlowWorkgroupInfoOp(OpBuilder &b, unsigned dim) {
-  return b.template create<OpTy>(b.getInsertionPoint()->getLoc(), dim);
-}
+/// Second pattern to implement the switch of `TilingInterface ->
+/// tensor.extract_slice` to `tensor.extract_slice -> `TilingInterface`.
+struct SliceOpTiledOpSwapPattern
+    : public OpRewritePattern<tensor::ExtractSliceOp> {
+  SliceOpTiledOpSwapPattern(MLIRContext *context,
+                            linalg::LinalgTilingOptions opt,
+                            linalg::LinalgTransformationFilter filt)
+      : OpRewritePattern<tensor::ExtractSliceOp>(context),
+        options(opt),
+        filter(filt) {}
 
-void TiledOpInterfaceTilingPass::runOnOperation() {
-  FuncOp funcOp = getOperation();
-  MLIRContext *context = funcOp.getContext();
-
-  RewritePatternSet patterns(context);
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context, linalg::LinalgTilingOptions().setTileSizes({10, 20}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "tiling_input"),
-          StringAttr::get(context, "tiling_output")));
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context, linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{0}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "no_tiling_input"),
-          StringAttr::get(context, "no_tiling_output")));
-
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context, linalg::LinalgTilingOptions().setTileSizes({0, 20}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "outer_reduce_input"),
-          StringAttr::get(context, "outer_reduce_output")));
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context, linalg::LinalgTilingOptions().setTileSizes({10, 0, 0}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "inner_reduce_input"),
-          StringAttr::get(context, "inner_reduce_output")));
-
-  static linalg::LinalgLoopDistributionOptions workgroupDistributionOptions = {
-      [](OpBuilder &builder, Location loc, ArrayRef<Range> parallelLoopRanges) {
-        auto numParallelDims = parallelLoopRanges.size();
-
-        SmallVector<linalg::ProcInfo, 3> procInfo(numParallelDims);
-        for (size_t dim = 0; dim < numParallelDims; ++dim) {
-          procInfo[numParallelDims - dim - 1] = {
-              buildFlowWorkgroupInfoOp<IREE::Input::DispatchWorkgroupIDOp>(
-                  builder, dim),
-              buildFlowWorkgroupInfoOp<IREE::Input::DispatchWorkgroupCountOp>(
-                  builder, dim)};
-        }
-        return procInfo;
-      },
-      {linalg::DistributionMethod::Cyclic, linalg::DistributionMethod::Cyclic,
-       linalg::DistributionMethod::Cyclic},
-      DenseMap<StringRef,
-               std::function<linalg::ProcInfo(OpBuilder &, Location)>>()};
-
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context,
-      linalg::LinalgTilingOptions()
-          .setTileSizes(ArrayRef<int64_t>{10, 0, 30})
-          .setDistributionOptions(workgroupDistributionOptions),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "distribute_input"),
-          StringAttr::get(context, "distribute_output")));
-
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context,
-      linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{32}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "tiling_1d_stage5_fft_input"),
-          StringAttr::get(context, "tiling_1d_stage5_fft_output")));
-
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context,
-      linalg::LinalgTilingOptions().setTileSizes(ArrayRef<int64_t>{10, 32}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "tiling_2d_stage5_fft_input"),
-          StringAttr::get(context, "tiling_2d_stage5_fft_output")));
-
-  patterns.add<TiledOpInterfaceTilingPattern>(
-      context, linalg::LinalgTilingOptions().setTileSizes({0, 20}),
-      linalg::LinalgTransformationFilter(
-          StringAttr::get(context, "tiling_repeated_indices_scatter_input"),
-          StringAttr::get(context, "tiling_repeated_indices_scatter_output")));
-
-  if (failed(applyPatternsAndFoldGreedily(funcOp, std::move(patterns)))) {
-    return signalPassFailure();
+  LogicalResult matchAndRewrite(tensor::ExtractSliceOp sliceOp,
+                                PatternRewriter &rewriter) const override {
+    auto sourceOp = sliceOp.source().getDefiningOp<TilingInterface>();
+    if (!sourceOp || !filter.hasReplacementFilter(sourceOp)) return failure();
+    SmallVector<Operation *> tiledOps = sourceOp.getTiledImplementation(
+        rewriter, sourceOp.getDestinationOperands(rewriter),
+        sliceOp.getMixedOffsets(), sliceOp.getMixedSizes(),
+        /*tileDestOperands=*/true);
+    assert(tiledOps.size() && "expected single tiled op");
+    Operation *tiledOp = tiledOps.front();
+    rewriter.replaceOp(sliceOp, tiledOp->getResults());
+    return success();
   }
-}
 
-std::unique_ptr<OperationPass<FuncOp>>
-IREE::LinalgExt::createTiledOpInterfaceTilingPass() {
-  return std::make_unique<TiledOpInterfaceTilingPass>();
-}
+ private:
+  linalg::LinalgTilingOptions options;
+  linalg::LinalgTransformationFilter filter;
+};
+
+}  // namespace
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingExternalModels.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingExternalModels.cpp
new file mode 100644
index 0000000..7174daa
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingExternalModels.cpp
@@ -0,0 +1,178 @@
+//===- TilingExternalModels.cpp - External models for TilingInterface -----===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
+#include "llvm/ADT/STLExtras.h"
+#include "llvm/ADT/SmallVector.h"
+#include "llvm/Support/Debug.h"
+#include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"
+#include "mlir/Dialect/Linalg/IR/Linalg.h"
+#include "mlir/Dialect/Linalg/Utils/Utils.h"
+#include "mlir/Interfaces/TilingInterface.h"
+
+#define DEBUG_TYPE "linalg-ext-tiling"
+
+using namespace mlir;
+using namespace mlir::linalg;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+static Value getAsValue(OpBuilder &b, Location loc, OpFoldResult ofr) {
+  if (auto v = ofr.dyn_cast<Value>()) return v;
+  return b.create<arith::ConstantIndexOp>(
+      loc, ofr.get<Attribute>().cast<IntegerAttr>().getInt());
+}
+static SmallVector<Value> getAsValues(OpBuilder &b, Location loc,
+                                      ArrayRef<OpFoldResult> ofrs) {
+  SmallVector<Value> vals;
+  vals.reserve(ofrs.size());
+  for (auto ofr : ofrs) vals.push_back(getAsValue(b, loc, ofr));
+  return vals;
+}
+
+static SmallVector<Value, 4> makeTiledInputShapes(OpBuilder &b, Location loc,
+                                                  LinalgOp linalgOp,
+                                                  ArrayRef<Value> valuesToTile,
+                                                  ArrayRef<Value> ivsRef,
+                                                  ArrayRef<Value> tileSizesRef,
+                                                  ArrayRef<Value> sizeBounds) {
+  assert(static_cast<int64_t>(valuesToTile.size()) == linalgOp.getNumInputs() &&
+         "expected one value to tile for every operand");
+
+  Value zero = b.create<arith::ConstantIndexOp>(loc, 0);
+  SmallVector<Value> tileSizes{tileSizesRef.begin(), tileSizesRef.end()};
+  tileSizes.append(sizeBounds.size() - tileSizes.size(), zero);
+
+  // Construct (potentially temporary) mins and maxes on which to apply maps
+  // that define tile subshapes.
+  SmallVector<Value> lbs = computeTileOffsets(b, loc, ivsRef, tileSizes);
+  SmallVector<Value> subShapeSizes =
+      computeTileSizes(b, loc, ivsRef, tileSizes, sizeBounds);
+
+  SmallVector<Value, 4> tiledShapes;
+  tiledShapes.reserve(valuesToTile.size());
+  for (OpOperand *opOperand : linalgOp.getInputOperands()) {
+    Value shapedOp = valuesToTile[opOperand->getOperandNumber()];
+    LLVM_DEBUG(llvm::dbgs() << "makeTiledShapes: for operand " << shapedOp);
+    AffineMap map = linalgOp.getTiedIndexingMap(opOperand);
+    LLVM_DEBUG(llvm::dbgs() << ": tiled: figure out subshape...\n");
+    tiledShapes.push_back(makeTiledShape(b, loc, shapedOp, tileSizes, map, lbs,
+                                         sizeBounds, subShapeSizes));
+  }
+
+  return tiledShapes;
+}
+
+namespace {
+
+/// External model implementation of TilingInterface for LinalgOps. This is
+/// templated on the actual Linalg named op for now since the registration of
+/// the external model requires the original operation.
+template <typename LinalgOpTy>
+struct LinalgOpTilingInterface
+    : public TilingInterface::ExternalModel<LinalgOpTilingInterface<LinalgOpTy>,
+                                            LinalgOpTy> {
+  SmallVector<Value> getDestinationOperands(Operation *op, OpBuilder &b) const {
+    LinalgOp linalgOp = cast<LinalgOp>(op);
+    return linalgOp.getOutputOperands();
+  }
+
+  SmallVector<StringRef> getLoopIteratorTypes(Operation *op) const {
+    LinalgOp linalgOp = cast<LinalgOp>(op);
+    SmallVector<StringRef> iteratorTypes;
+    iteratorTypes.reserve(linalgOp.iterator_types().size());
+    for (Attribute iteratorAttr : linalgOp.iterator_types()) {
+      iteratorTypes.push_back(iteratorAttr.cast<StringAttr>().getValue());
+    }
+    return iteratorTypes;
+  }
+
+  SmallVector<Range> getIterationDomain(Operation *op, OpBuilder &b) const {
+    LinalgOp linalgOp = cast<LinalgOp>(op);
+    return linalgOp.createLoopRanges(b, op->getLoc());
+  }
+
+  SmallVector<Operation *> getTiledImplementation(
+      Operation *op, OpBuilder &b, ValueRange tiledDest,
+      ArrayRef<OpFoldResult> offsets, ArrayRef<OpFoldResult> sizes,
+      bool tileDestOperands) const {
+    LinalgOp linalgOp = cast<LinalgOp>(op);
+    if (op->getNumResults() != 1) {
+      // TODO: Need a failure message here, but `notifyMatchFailure` is only a
+      // method on `PatternRewriter`.
+      return {};
+    }
+    Location loc = op->getLoc();
+    AffineMap shapeSizesToLoopsMap = linalgOp.getShapesToLoopsMap();
+    auto allShapeSizes = linalgOp.createFlatListOfOperandDims(b, loc);
+    if (!shapeSizesToLoopsMap) return {};
+
+    OpOperand *outOperand = linalgOp.getOutputOperand(0);
+    AffineMap indexingMap = linalgOp.getTiedIndexingMap(outOperand);
+    if (!indexingMap.isProjectedPermutation()) return {};
+
+    SmallVector<Value> offsetsVals = getAsValues(b, loc, offsets);
+    SmallVector<Value> sizeVals = getAsValues(b, loc, sizes);
+    SmallVector<Value> sizeBounds =
+        applyMapToValues(b, loc, shapeSizesToLoopsMap, allShapeSizes);
+
+    // The offsets and sizes form the slice operation only give you the tile
+    // size of the output. Use that compute the tile sizes and offsets of the
+    // loops. For loops not used to access the output, set the tile sizes to
+    // loop bounds and set the offset to 0.
+    Value zero = b.create<arith::ConstantIndexOp>(loc, 0);
+    SmallVector<Value> tileOffsets(sizeBounds.size(), zero);
+    SmallVector<Value> tileSizes = sizeBounds;
+    for (auto result : enumerate(indexingMap.getResults())) {
+      unsigned position = result.value().cast<AffineDimExpr>().getPosition();
+      tileOffsets[position] = offsetsVals[result.index()];
+      tileSizes[position] = sizeVals[result.index()];
+    }
+
+    SmallVector<Value> valuesToTile = linalgOp.getInputOperands();
+    SmallVector<Value> tiledOperands;
+    if (tileDestOperands) {
+      // Append the outputs then tile both the inputs and outputs.
+      valuesToTile.append(tiledDest.begin(), tiledDest.end());
+      tiledOperands = makeTiledShapes(b, loc, linalgOp, valuesToTile,
+                                      tileOffsets, tileSizes, sizeBounds);
+    } else {
+      // Only tile the inputs, then apped the outputs.
+      int64_t dim = offsets.size();
+      ArrayRef<Value> tileOffsetsRef{tileOffsets.begin(), tileOffsets.end()};
+      ArrayRef<Value> tileSizesRef{tileSizes.begin(), tileSizes.end()};
+      tiledOperands = makeTiledInputShapes(
+          b, loc, linalgOp, valuesToTile, tileOffsetsRef.take_front(dim + 1),
+          tileSizesRef.take_front(dim + 1), sizeBounds);
+      tiledOperands.append(tiledDest.begin(), tiledDest.end());
+    }
+    return {linalgOp.clone(b, loc, tiledDest.getTypes(), tiledOperands)};
+  }
+};
+}  // namespace
+
+template <typename OpType>
+void registerOne(DialectRegistry &registry) {
+  registry.addOpInterface<OpType, LinalgOpTilingInterface<OpType>>();
+}
+
+/// Variadic helper function.
+template <typename... OpTypes>
+void registerAll(DialectRegistry &registry) {
+  // FIXME: In c++17 this can be simplified by using 'fold expressions'.
+  (void)std::initializer_list<int>{0, (registerOne<OpTypes>(registry), 0)...};
+}
+
+#define GET_OP_LIST
+
+void mlir::iree_compiler::IREE::LinalgExt::
+    registerTilingInterfaceExternalModels(DialectRegistry &registry) {
+  registerOne<linalg::GenericOp>(registry);
+  registerAll<
+#include "mlir/Dialect/Linalg/IR/LinalgStructuredOps.cpp.inc"
+      >(registry);
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingToTileOp.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingToTileOp.cpp
new file mode 100644
index 0000000..ba8cc4d
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/TilingToTileOp.cpp
@@ -0,0 +1,106 @@
+//===- TilingToTileOp.cpp - Tiling using to TileOp TilingInterface --------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Transforms.h"
+#include "mlir/Dialect/Linalg/Transforms/Transforms.h"
+#include "mlir/Dialect/Linalg/Utils/Utils.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/Builders.h"
+#include "mlir/IR/BuiltinOps.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/OperationSupport.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+struct TilingResult {
+  TileOp tileOp;
+  Operation *tiledOp;
+};
+
+static TilingResult tileToTileOp(PatternRewriter &rewriter, TilingInterface op,
+                                 int64_t tiledDim, Value tileSize) {
+  Location loc = op->getLoc();
+  OpBuilder::InsertionGuard g(rewriter);
+  // TODO: Handle the case where the `loopRanges` are empty.
+  SmallVector<Range> loopRanges = op.getIterationDomain(rewriter);
+  assert(loopRanges.size() >= 1 &&
+         "expected at least a single loop in operation");
+  auto destOperands = op.getDestinationOperands(rewriter);
+  Operation *tiledOp = nullptr;
+  auto tileOp = rewriter.create<TileOp>(
+      loc, tileSize, destOperands, tiledDim,
+      [&](OpBuilder &b, Location loc, Value offset, Value size,
+          ValueRange outSlices) {
+        // TODO: support `getTiledImplementation` with >1 produced tiled ops.
+        int64_t nLoops = loopRanges.size();
+        SmallVector<OpFoldResult> tiledOffsets, tiledSizes;
+        tiledOffsets.reserve(nLoops);
+        tiledSizes.reserve(nLoops);
+        for (unsigned i = 0; i < nLoops; ++i) {
+          if (i == tiledDim) {
+            tiledOffsets.push_back(offset);
+            tiledSizes.push_back(size);
+          } else {
+            tiledOffsets.push_back(loopRanges[i].offset);
+            tiledSizes.push_back(loopRanges[i].size);
+          }
+        }
+        SmallVector<Operation *> tiledOps = op.getTiledImplementation(
+            b, outSlices, tiledOffsets, tiledSizes, /*tileDestOperands=*/false);
+        assert(tiledOps.size() == 1 && "expected single tiled op");
+        tiledOp = tiledOps.front();
+        b.create<TileYieldOp>(loc, tiledOp->getResults());
+      });
+  return TilingResult{tileOp, tiledOp};
+}
+
+FailureOr<Operation *> mlir::iree_compiler::IREE::LinalgExt::
+    LinalgExtTilingPattern::returningMatchAndRewrite(
+        TilingInterface op, PatternRewriter &rewriter) const {
+  /// Currently only handle single result operations.
+  if (op->getNumResults() != 1)
+    return rewriter.notifyMatchFailure(op, "Not a single result");
+
+  // Get rank and tile sizes.
+  // TODO: consider moving these checks to a common place that the TransformOp
+  // verifier can also use.
+  SmallVector<Value> tileSizes =
+      options.tileSizeComputationFunction(rewriter, op);
+  int64_t dim = -1;
+  for (auto en : llvm::enumerate(tileSizes)) {
+    Optional<int64_t> maybeTileSize = getConstantIntValue(en.value());
+    if (maybeTileSize && *maybeTileSize == 0) continue;
+    if (maybeTileSize && *maybeTileSize < 0)
+      return rewriter.notifyMatchFailure(op, "Negative tile size");
+    if (dim >= 0)
+      return rewriter.notifyMatchFailure(op,
+                                         "Could not find a single tiling dim");
+    dim = en.index();
+  }
+  if (dim < 0)
+    return rewriter.notifyMatchFailure(op,
+                                       "Could not find a single tiling dim");
+
+  /// Currently only handle tiling operations on a parallel iterator type.
+  auto loopIteratorTypes = op.getLoopIteratorTypes();
+  // Scalar operation, nothing to do, so just return.
+  if (loopIteratorTypes.empty())
+    return rewriter.notifyMatchFailure(op, "Scalar op, no tiling possible");
+  ArrayRef<StringRef> loopIteratorTypesRef(loopIteratorTypes);
+  if (loopIteratorTypesRef[dim] != getParallelIteratorTypeName())
+    return rewriter.notifyMatchFailure(op, "Trying to tile a non-parallel dim");
+
+  TilingResult tilingResult = tileToTileOp(rewriter, op, dim, tileSizes[dim]);
+  rewriter.replaceOp(op, tilingResult.tileOp->getResults());
+
+  return tilingResult.tiledOp;
+}
diff --git a/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Utils.cpp b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Utils.cpp
new file mode 100644
index 0000000..9b250b8
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/lib/Dialect/LinalgExt/Transforms/Utils.cpp
@@ -0,0 +1,104 @@
+//===- Utils.cpp - LinalgExt transform utils ------------------------------===//
+//
+// 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
+//
+//===----------------------------------------------------------------------===//
+
+#include "iree-dialects/Dialect/LinalgExt/Transforms/Utils.h"
+
+#include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.h"
+#include "mlir/Dialect/Affine/IR/AffineOps.h"
+#include "mlir/Dialect/Linalg/Transforms/Transforms.h"
+#include "mlir/Dialect/Tensor/IR/Tensor.h"
+#include "mlir/IR/Operation.h"
+#include "mlir/IR/OperationSupport.h"
+#include "mlir/IR/PatternMatch.h"
+#include "mlir/Transforms/GreedyPatternRewriteDriver.h"
+
+using namespace mlir;
+using namespace mlir::iree_compiler::IREE::LinalgExt;
+
+void mlir::iree_compiler::IREE::LinalgExt::completeOffsetsSizesAndStrides(
+    OpBuilder &b, Location loc, Value tensor, ArrayRef<Value> leadingOffsets,
+    ArrayRef<Value> leadingSizes, ArrayRef<Value> leadingStrides,
+    SmallVectorImpl<Value> &offsets, SmallVectorImpl<Value> &sizes,
+    SmallVectorImpl<Value> &strides) {
+  assert(leadingOffsets.size() == leadingSizes.size() &&
+         "expected matching lengths");
+  assert(leadingSizes.size() == leadingStrides.size() &&
+         "expected matching lengths");
+
+  auto rankedTensorType = tensor.getType().cast<RankedTensorType>();
+  int64_t tensorRank = rankedTensorType.getRank();
+  int64_t leadingRank = leadingOffsets.size();
+  offsets = SmallVector<Value>(leadingOffsets.begin(), leadingOffsets.end());
+  sizes = SmallVector<Value>(leadingSizes.begin(), leadingSizes.end());
+  strides = SmallVector<Value>(leadingStrides.begin(), leadingStrides.end());
+  if (leadingRank >= tensorRank) return;
+  Value zero = b.create<arith::ConstantIndexOp>(loc, 0);
+  Value one = b.create<arith::ConstantIndexOp>(loc, 1);
+  for (int64_t i = leadingRank, e = tensorRank; i < e; ++i) {
+    offsets.push_back(zero);
+    sizes.push_back(b.createOrFold<tensor::DimOp>(loc, tensor, i));
+    strides.push_back(one);
+  }
+}
+
+/// Create a tensor::ExtractSliceOp by auto-completing the missing trailing
+/// dimensions to always be offset = 0, size = dim, stride = 1.
+Value mlir::iree_compiler::IREE::LinalgExt::
+    createSubsetExtractOpFromLeadingOffsetsSizesAndStrides(
+        OpBuilder &b, Location loc, Value tensor,
+        ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+        ArrayRef<Value> leadingStrides) {
+  SmallVector<Value> offsets, sizes, strides;
+  completeOffsetsSizesAndStrides(b, loc, tensor, leadingOffsets, leadingSizes,
+                                 leadingStrides, offsets, sizes, strides);
+  return b.createOrFold<tensor::ExtractSliceOp>(loc, tensor, offsets, sizes,
+                                                strides);
+}
+
+/// Create a tensor::InsertSliceOp by auto-completing the missing trailing
+/// dimensions to always be offset = 0, size = dim, stride = 1.
+Value mlir::iree_compiler::IREE::LinalgExt::
+    createSubsetInsertOpFromLeadingOffsetsSizesAndStrides(
+        OpBuilder &b, Location loc, Value tensor, Value dest,
+        ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+        ArrayRef<Value> leadingStrides) {
+  SmallVector<Value> offsets, sizes, strides;
+  completeOffsetsSizesAndStrides(b, loc, tensor, leadingOffsets, leadingSizes,
+                                 leadingStrides, offsets, sizes, strides);
+  return b.createOrFold<tensor::InsertSliceOp>(loc, tensor, dest, offsets,
+                                               sizes, strides);
+}
+
+/// Create a iree_compiler::IREE::LinalgExt::ParallelInsertSliceOp by
+/// auto-completing the missing trailing dimensions to always be offset = 0,
+/// size = dim, stride = 1.
+Operation *mlir::iree_compiler::IREE::LinalgExt::
+    createParallelInsertSliceOpFromLeadingOffsetsSizesAndStrides(
+        OpBuilder &b, Location loc, Value tensor, Value dest,
+        ArrayRef<Value> leadingOffsets, ArrayRef<Value> leadingSizes,
+        ArrayRef<Value> leadingStrides) {
+  SmallVector<Value> offsets, sizes, strides;
+  completeOffsetsSizesAndStrides(b, loc, tensor, leadingOffsets, leadingSizes,
+                                 leadingStrides, offsets, sizes, strides);
+  return b.createOrFold<iree_compiler::IREE::LinalgExt::ParallelInsertSliceOp>(
+      loc, tensor, dest, offsets, sizes, strides);
+}
+
+/// Insert the `source` tensor into the `dest` tensor by creating the relevant
+/// `subset_insert` op. The details of the `subset_insert` op are retrieved
+/// from the `subset_extract` op so that they form a matching extract/insert
+/// pair.
+Value mlir::iree_compiler::IREE::LinalgExt::createMatchingSubsetInsertOp(
+    OpBuilder &b, Location loc, tensor::ExtractSliceOp subsetExtractOp,
+    Value source, Value dest) {
+  return b.create<tensor::InsertSliceOp>(
+      loc, subsetExtractOp.source().getType(), source, dest,
+      subsetExtractOp.offsets(), subsetExtractOp.sizes(),
+      subsetExtractOp.strides(), subsetExtractOp.static_offsets(),
+      subsetExtractOp.static_sizes(), subsetExtractOp.static_strides());
+}
diff --git a/llvm-external-projects/iree-dialects/python/CMakeLists.txt b/llvm-external-projects/iree-dialects/python/CMakeLists.txt
index ab6fd08..724982b 100644
--- a/llvm-external-projects/iree-dialects/python/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/python/CMakeLists.txt
@@ -26,6 +26,14 @@
 declare_mlir_dialect_python_bindings(
   ADD_TO_PARENT IREEDialectsPythonSources.Dialects
   ROOT_DIR "${CMAKE_CURRENT_SOURCE_DIR}/iree/compiler"
+  TD_FILE dialects/IreeLinalgExtBinding.td
+  SOURCES dialects/iree_linalg_ext.py
+  DIALECT_NAME iree_linalg_ext
+)
+
+declare_mlir_dialect_python_bindings(
+  ADD_TO_PARENT IREEDialectsPythonSources.Dialects
+  ROOT_DIR "${CMAKE_CURRENT_SOURCE_DIR}/iree/compiler"
   TD_FILE dialects/IreePyDmBinding.td
   SOURCES
     dialects/_iree_pydm_ops_ext.py
diff --git a/llvm-external-projects/iree-dialects/python/IREEDialectsModule.cpp b/llvm-external-projects/iree-dialects/python/IREEDialectsModule.cpp
index b3efba8..3647c47 100644
--- a/llvm-external-projects/iree-dialects/python/IREEDialectsModule.cpp
+++ b/llvm-external-projects/iree-dialects/python/IREEDialectsModule.cpp
@@ -90,6 +90,21 @@
       py::arg("context") = py::none(), py::arg("load") = true);
 
   //===--------------------------------------------------------------------===//
+  // IREELinalgExt
+  //===--------------------------------------------------------------------===//
+  auto iree_linalg_ext_m = m.def_submodule("iree_linalg_ext");
+  iree_linalg_ext_m.def(
+      "register_dialect",
+      [](MlirContext context, bool load) {
+        MlirDialectHandle handle = mlirGetDialectHandle__iree_linalg_ext__();
+        mlirDialectHandleRegisterDialect(handle, context);
+        if (load) {
+          mlirDialectHandleLoadDialect(handle, context);
+        }
+      },
+      py::arg("context") = py::none(), py::arg("load") = true);
+
+  //===--------------------------------------------------------------------===//
   // IREEPyDMDialect
   //===--------------------------------------------------------------------===//
   auto iree_pydm_m = m.def_submodule("iree_pydm");
diff --git a/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/IreeLinalgExtBinding.td b/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/IreeLinalgExtBinding.td
new file mode 100644
index 0000000..da2ceae
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/IreeLinalgExtBinding.td
@@ -0,0 +1,13 @@
+// Copyright 2021 The IREE Authors
+//
+// Licensed 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 PYTHON_BINDINGS_IREE_LINALGEXT_OPS
+#define PYTHON_BINDINGS_IREE_LINALGEXT_OPS
+
+include "mlir/Bindings/Python/Attributes.td"
+include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtOps.td"
+
+#endif // PYTHON_BINDINGS_IREE_LINALGEXT_OPS
diff --git a/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/iree_linalg_ext.py b/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/iree_linalg_ext.py
new file mode 100644
index 0000000..01fb430
--- /dev/null
+++ b/llvm-external-projects/iree-dialects/python/iree/compiler/dialects/iree_linalg_ext.py
@@ -0,0 +1,8 @@
+# Copyright 2021 The IREE Authors
+#
+# Licensed 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
+
+from ._iree_linalg_ext_ops_gen import *
+from .._mlir_libs._ireeDialects.iree_linalg_ext import *
diff --git a/llvm-external-projects/iree-dialects/test/iree_linalgext/canonicalize.mlir b/llvm-external-projects/iree-dialects/test/iree_linalgext/canonicalize.mlir
index acb8344..b8434d2 100644
--- a/llvm-external-projects/iree-dialects/test/iree_linalgext/canonicalize.mlir
+++ b/llvm-external-projects/iree-dialects/test/iree_linalgext/canonicalize.mlir
@@ -19,3 +19,24 @@
 
   return %1: tensor<3x5xi32>
 }
+
+// CHECK-LABEL: func @canonicalize_insert_slice_indices(
+//  CHECK-SAME:     %[[arg0:.*]]: tensor<?x?xf32>, %[[arg1:.*]]: tensor<?x?xf32>,
+//  CHECK-SAME:     %[[idx:.*]]: index
+func @canonicalize_insert_slice_indices(
+    %arg0 : tensor<?x?xf32>, %arg1: tensor<?x?xf32>,
+    %idx : index) -> tensor<?x?xf32>
+{
+  %cst = arith.constant 4.200000e+01 : f32
+  %c0 = arith.constant 0 : index
+  %c1 = arith.constant 1 : index
+
+  %2 = iree_linalg_ext.in_parallel %idx  -> (tensor<?x?xf32>) {
+    ^bb0(%arg3: index):  // no predecessors
+      iree_linalg_ext.perform_concurrently {
+        // CHECK: iree_linalg_ext.parallel_insert_slice %[[arg0]] into %arg1[%[[idx]], 0] [1, 5] [1, 1]
+        iree_linalg_ext.parallel_insert_slice %arg0 into %arg1[%idx, %c0] [%c1, 5] [%c1, %c1] : tensor<?x?xf32> into tensor<?x?xf32>
+      }
+  }
+  return %2 : tensor<?x?xf32>
+}
diff --git a/llvm-external-projects/iree-dialects/test/iree_linalgext/invalid.mlir b/llvm-external-projects/iree-dialects/test/iree_linalgext/invalid.mlir
index f74461e..517e9c2 100644
--- a/llvm-external-projects/iree-dialects/test/iree_linalgext/invalid.mlir
+++ b/llvm-external-projects/iree-dialects/test/iree_linalgext/invalid.mlir
@@ -403,3 +403,46 @@
          outs(%init : tensor<3x5xi32>) : tensor<3x5xi32>
   return %0 : tensor<3x5xi32>
 }
+
+// -----
+
+func @not_enough_results() -> () {
+  %num_threads = arith.constant 100 : index
+  // expected-error@+1 {{'iree_linalg_ext.in_parallel' op produces 1 results, but its terminator yields 0 values}}
+  %result = iree_linalg_ext.in_parallel %num_threads -> tensor<100xf32> {
+    ^bb0(%thread_idx : index):
+      iree_linalg_ext.perform_concurrently {}
+  }
+}
+
+// -----
+
+func @too_many_results(%1 : tensor<1xf32>, %out : tensor<100xf32>) -> () {
+  %num_threads = arith.constant 100 : index
+  // expected-error@+1 {{'iree_linalg_ext.in_parallel' op produces 1 results, but its terminator yields 2 values}}
+  %result = iree_linalg_ext.in_parallel %num_threads -> tensor<100xf32> {
+    ^bb0(%thread_idx : index):
+      %0 = arith.constant 1 : index
+      iree_linalg_ext.perform_concurrently {
+        iree_linalg_ext.parallel_insert_slice %1 into %out[%thread_idx][%0][%0] :
+          tensor<1xf32> into tensor<100xf32>
+        iree_linalg_ext.parallel_insert_slice %1 into %out[%thread_idx][%0][%0] :
+          tensor<1xf32> into tensor<100xf32>
+      }
+  }
+}
+
+// -----
+
+func @type_mismatch(%1 : tensor<1xf32>, %out : tensor<200xf32>) -> () {
+  %num_threads = arith.constant 100 : index
+  // expected-error@+1 {{'iree_linalg_ext.in_parallel' op type mismatch between 0th result of in_parallel ('tensor<200xf32>') and 0th result yielded by its terminator ('tensor<100xf32>')}}
+  %result = iree_linalg_ext.in_parallel %num_threads -> tensor<100xf32> {
+    ^bb0(%thread_idx : index):
+      %0 = arith.constant 1 : index
+      iree_linalg_ext.perform_concurrently {
+        iree_linalg_ext.parallel_insert_slice %1 into %out[%thread_idx][%0][%0] :
+          tensor<1xf32> into tensor<200xf32>
+      }
+  }
+}
diff --git a/llvm-external-projects/iree-dialects/test/iree_linalgext/roundtrip.mlir b/llvm-external-projects/iree-dialects/test/iree_linalgext/roundtrip.mlir
index a4c9fc6..98b2c71 100644
--- a/llvm-external-projects/iree-dialects/test/iree_linalgext/roundtrip.mlir
+++ b/llvm-external-projects/iree-dialects/test/iree_linalgext/roundtrip.mlir
@@ -539,3 +539,58 @@
 //  CHECK-SAME:      dimensions(dense<[0, 1]> : tensor<2xi64>)
 //  CHECK-SAME:      ins(%[[ARG0]]
 //  CHECK-SAME:      outs(%[[INIT]]
+
+// -----
+
+// CHECK-LABEL: func @static_tile
+func @static_tile(%chunk_size: index, %in: tensor<?xf32>, %out: tensor<?xf32>, %out2: tensor<?xf32>) -> (tensor<?xf32>) {
+  %c0 = arith.constant 0: index
+  //%d0 = tensor.dim %out, %c0: tensor<?xf32>
+
+  // CHECK: iree_linalg_ext.tile %{{.*}} outs(%{{.*}}: tensor<?xf32>, %{{.*}}: tensor<?xf32>)
+  // CHECK: ^bb0(%{{.*}}: index, %{{.*}}: index, %{{.*}}: tensor<?xf32>, %{{.*}}: tensor<?xf32>):
+  %0:2 = iree_linalg_ext.tile %chunk_size outs(%out: tensor<?xf32>, %out2: tensor<?xf32>)
+      -> (tensor<?xf32>, tensor<?xf32>) {
+    // TODO: one offset and one size per tensor?
+    // If not necessary in the dense strided-array world, what about the rest?
+    ^bb0(%offset: index, %size: index, %st1: tensor<?xf32>, %st2: tensor<?xf32>):
+      // TODO: atm this is just 1-1: out-chunk-size -> in-size.
+      %1 = tensor.extract_slice %in[%offset][%size][1] : tensor<?xf32> to tensor<?xf32>
+      %3 = linalg.generic {
+           indexing_maps = [affine_map<(d0) -> (d0)>, affine_map<(d0) -> (d0)>],
+           iterator_types = ["parallel"]}
+         ins(%1: tensor<?xf32>) outs(%st1: tensor<?xf32>) {
+         ^bb0(%a: f32, %b:f32):  // no predecessors
+           %f42 = arith.constant 42.0: f32
+           %tmp = arith.mulf %a, %f42: f32
+           linalg.yield %tmp: f32
+      } -> tensor<?xf32>
+      iree_linalg_ext.tile_yield %3, %st2: tensor<?xf32>, tensor<?xf32> // assumes dim is 0 and stacks
+  }
+  return %0#0: tensor<?xf32>
+}
+
+// -----
+
+// CHECK-LABEL: func @simple_example
+func @simple_example(%in: tensor<100xf32>, %out: tensor<100xf32>) -> (tensor<100xf32>) {
+  %num_threads = arith.constant 100 : index
+  %result = iree_linalg_ext.in_parallel %num_threads -> tensor<100xf32> {
+    ^bb0(%thread_idx : index):
+      %0 = arith.constant 0 : index
+      %1 = tensor.extract_slice %in[%thread_idx][1][1] : tensor<100xf32> to tensor<1xf32>
+      iree_linalg_ext.perform_concurrently {
+        iree_linalg_ext.parallel_insert_slice %1 into %out[%thread_idx][%0][%0] :
+          tensor<1xf32> into tensor<100xf32>
+      }
+  }
+  return %result : tensor<100xf32>
+}
+
+func @no_terminator() -> () {
+  %num_threads = arith.constant 100 : index
+  iree_linalg_ext.in_parallel %num_threads -> () {
+    ^bb0(%thread_idx : index):
+  }
+  return
+}
diff --git a/llvm-external-projects/iree-dialects/test/python/smoketest.py b/llvm-external-projects/iree-dialects/test/python/smoketest.py
index cef2e6c..6804fec 100644
--- a/llvm-external-projects/iree-dialects/test/python/smoketest.py
+++ b/llvm-external-projects/iree-dialects/test/python/smoketest.py
@@ -2,10 +2,12 @@
 
 import iree.compiler.ir
 from iree.compiler.dialects import iree_input as iree_d
+from iree.compiler.dialects import iree_linalg_ext
 from iree.compiler.dialects import iree_pydm as pydm_d
 
 with iree.compiler.ir.Context() as ctx:
   iree_d.register_dialect()
+  iree_linalg_ext.register_dialect()
   pydm_d.register_dialect()
 
   # iree_pydm types.
diff --git a/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/CMakeLists.txt b/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/CMakeLists.txt
index 735f948..6aecef3 100644
--- a/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/CMakeLists.txt
+++ b/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/CMakeLists.txt
@@ -13,6 +13,7 @@
   IREEInputDialect
   IREELinalgExtDialect
   IREELinalgExtPasses
+  IREELinalgExtTransforms
   IREEPyDMDialect
   IREEPyDMPasses
 )
diff --git a/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/iree-dialects-opt.cpp b/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/iree-dialects-opt.cpp
index fadfd96..d1e844b 100644
--- a/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/iree-dialects-opt.cpp
+++ b/llvm-external-projects/iree-dialects/tools/iree-dialects-opt/iree-dialects-opt.cpp
@@ -7,7 +7,7 @@
 #include "iree-dialects/Dialect/Input/InputDialect.h"
 #include "iree-dialects/Dialect/LinalgExt/IR/LinalgExtDialect.h"
 #include "iree-dialects/Dialect/LinalgExt/IR/TiledOpInterface.h"
-#include "iree-dialects/Dialect/LinalgExt/Transforms/Passes.h"
+#include "iree-dialects/Dialect/LinalgExt/Passes/Passes.h"
 #include "iree-dialects/Dialect/PyDM/IR/PyDMDialect.h"
 #include "iree-dialects/Dialect/PyDM/Transforms/Passes.h"
 #include "mlir/Dialect/Arithmetic/IR/Arithmetic.h"