diff --git a/test/Transforms/PCLLowering/pcl_bool_downstream_use.llzk b/test/Transforms/PCLLowering/pcl_bool_downstream_use.llzk
new file mode 100644
index 0000000000..3985f7c9e6
--- /dev/null
+++ b/test/Transforms/PCLLowering/pcl_bool_downstream_use.llzk
@@ -0,0 +1,27 @@
+// REQUIRES: with-pcl
+// RUN: llzk-opt -llzk-to-pcl -verify-diagnostics %s | FileCheck --enable-var-scope %s
+
+!F = !felt.type<"goldilocks">
+module attributes {llzk.lang} {
+  struct.def @A {
+    function.def @compute(%a: !F, %b: !F, %c: !F) -> !struct.type<@A> attributes {function.allow_witness} {
+      %self = struct.new : <@A>
+      function.return %self : !struct.type<@A>
+    }
+
+    function.def @constrain(%self: !struct.type<@A>, %a: !F, %b: !F, %c: !F) attributes {function.allow_constraint, function.allow_non_native_field_ops} {
+      %eq1 = bool.cmp eq(%a, %b) : !F, !F
+      %eq2 = bool.cmp eq(%b, %c) : !F, !F
+      %xor = bool.xor %eq1, %eq2
+      %use = bool.and %xor, %eq1
+      function.return
+    }
+  }
+}
+
+// CHECK-LABEL: func.func @A(
+// CHECK:         %[[EQ1:[0-9a-zA-Z_\.]+]] = pcl.eq %arg0, %arg1
+// CHECK:         %[[EQ2:[0-9a-zA-Z_\.]+]] = pcl.eq %arg1, %arg2
+// CHECK:         %[[IFF:[0-9a-zA-Z_\.]+]] = pcl.iff %[[EQ1]], %[[EQ2]]
+// CHECK:         %[[XOR:[0-9a-zA-Z_\.]+]] = pcl.not %[[IFF]]
+// CHECK:         %[[USE:[0-9a-zA-Z_\.]+]] = pcl.and %[[XOR]], %[[EQ1]]
diff --git a/test/Transforms/R1CSLowering/r1cs_table_offset_preservation.llzk b/test/Transforms/R1CSLowering/r1cs_table_offset_preservation.llzk
new file mode 100644
index 0000000000..39ec6243e1
--- /dev/null
+++ b/test/Transforms/R1CSLowering/r1cs_table_offset_preservation.llzk
@@ -0,0 +1,34 @@
+// RUN: llzk-opt -llzk-full-r1cs-lowering -verify-diagnostics %s | r1cs-opt --verify-diagnostics - | FileCheck --enable-var-scope %s
+
+module attributes {llzk.lang, llzk.main = !struct.type<@Rows>} {
+  struct.def @Rows {
+    struct.member @out : !felt.type<"babybear"> {llzk.pub}
+    struct.member @cell : !felt.type<"babybear"> {column}
+
+    function.def @compute(%a: !felt.type<"babybear">) -> !struct.type<@Rows> {
+      %self = struct.new : !struct.type<@Rows>
+      function.return %self : !struct.type<@Rows>
+    }
+
+    function.def @constrain(
+      %self: !struct.type<@Rows>,
+      %a: !felt.type<"babybear"> {llzk.pub}
+    ) {
+      %out = struct.readm %self[@out] : !struct.type<@Rows>, !felt.type<"babybear">
+      constrain.eq %out, %a : !felt.type<"babybear">
+      %prev = struct.readm %self[@cell] : !struct.type<@Rows>, !felt.type<"babybear"> {tableOffset = -1 : index}
+      %curr = struct.readm %self[@cell] : !struct.type<@Rows>, !felt.type<"babybear"> {tableOffset = 0 : index}
+      constrain.eq %prev, %curr : !felt.type<"babybear">
+      function.return
+    }
+  }
+}
+
+// CHECK-LABEL: r1cs.circuit @Rows inputs (
+// CHECK-SAME:  %[[A:[0-9a-zA-Z_\.]+]]: !r1cs.signal {#r1cs.pub}
+// CHECK:         %[[OUT:[0-9a-zA-Z_\.]+]] = r1cs.def 0 : !r1cs.signal {pub = #r1cs.pub}
+// CHECK:         %[[PREV:[0-9a-zA-Z_\.]+]] = r1cs.def 1 : !r1cs.signal
+// CHECK:         %[[CURR:[0-9a-zA-Z_\.]+]] = r1cs.def 2 : !r1cs.signal
+// CHECK:         %[[PREV_LIN:[0-9a-zA-Z_\.]+]] = r1cs.to_linear %[[PREV]] : !r1cs.signal to !r1cs.linear
+// CHECK:         %[[CURR_LIN:[0-9a-zA-Z_\.]+]] = r1cs.to_linear %[[CURR]] : !r1cs.signal to !r1cs.linear
+// CHECK:         r1cs.constrain
diff --git a/test/Transforms/RedundantOperation/stateful_ops_preservation.llzk b/test/Transforms/RedundantOperation/stateful_ops_preservation.llzk
new file mode 100644
index 0000000000..1d024e4213
--- /dev/null
+++ b/test/Transforms/RedundantOperation/stateful_ops_preservation.llzk
@@ -0,0 +1,51 @@
+// RUN: llzk-opt -split-input-file --llzk-duplicate-op-elim %s | FileCheck --enable-var-scope %s
+
+module attributes {llzk.lang} {
+  global.def @g : !felt.type = 1
+
+  struct.def @GlobalState {
+    struct.member @out : !felt.type {llzk.pub}
+
+    function.def @compute() -> !struct.type<@GlobalState> {
+      %self = struct.new : !struct.type<@GlobalState>
+      %two = felt.const 2
+      %before = global.read @g : !felt.type
+      global.write @g = %two : !felt.type
+      %after = global.read @g : !felt.type
+      struct.writem %self[@out] = %after : !struct.type<@GlobalState>, !felt.type
+      function.return %self : !struct.type<@GlobalState>
+    }
+
+    function.def @constrain(%self: !struct.type<@GlobalState>) {
+      function.return
+    }
+  }
+}
+
+// CHECK-LABEL: function.def @compute()
+// CHECK:         %[[BEFORE:[0-9a-zA-Z_\.]+]] = global.read @g : !felt.type
+// CHECK:         global.write @g
+// CHECK:         %[[AFTER:[0-9a-zA-Z_\.]+]] = global.read @g : !felt.type
+// CHECK:         struct.writem {{.*}}\[@out\] = %[[AFTER]]
+
+// -----
+
+module attributes {llzk.lang} {
+  function.def @ram_state() -> !felt.type attributes {function.allow_witness} {
+    %addr = arith.constant 0 : index
+    %one = felt.const 1
+    %two = felt.const 2
+    ram.store %addr, %one : !felt.type
+    %before = ram.load %addr : !felt.type
+    ram.store %addr, %two : !felt.type
+    %after = ram.load %addr : !felt.type
+    function.return %after : !felt.type
+  }
+}
+
+// CHECK-LABEL: function.def @ram_state()
+// CHECK:         ram.store
+// CHECK:         %[[BEFORE:[0-9a-zA-Z_\.]+]] = ram.load
+// CHECK:         ram.store
+// CHECK:         %[[AFTER:[0-9a-zA-Z_\.]+]] = ram.load
+// CHECK:         function.return %[[AFTER]]
diff --git a/test/Transforms/RedundantReadWrite/offset_read_preservation.llzk b/test/Transforms/RedundantReadWrite/offset_read_preservation.llzk
new file mode 100644
index 0000000000..e9b88e00a8
--- /dev/null
+++ b/test/Transforms/RedundantReadWrite/offset_read_preservation.llzk
@@ -0,0 +1,24 @@
+// RUN: llzk-opt --llzk-duplicate-read-write-elim %s | FileCheck --enable-var-scope %s
+
+module attributes {llzk.lang} {
+  struct.def @Rows {
+    struct.member @cell : !felt.type {column}
+
+    function.def @compute() -> !struct.type<@Rows> {
+      %self = struct.new : !struct.type<@Rows>
+      function.return %self : !struct.type<@Rows>
+    }
+
+    function.def @constrain(%self: !struct.type<@Rows>) {
+      %prev = struct.readm %self[@cell] : !struct.type<@Rows>, !felt.type {tableOffset = -1 : index}
+      %curr = struct.readm %self[@cell] : !struct.type<@Rows>, !felt.type {tableOffset = 0 : index}
+      constrain.eq %prev, %curr : !felt.type, !felt.type
+      function.return
+    }
+  }
+}
+
+// CHECK-LABEL: function.def @constrain(
+// CHECK:         %[[PREV:[0-9a-zA-Z_\.]+]] = struct.readm {{.*}}\[@cell\] : {{.*}} {tableOffset = -1 : index}
+// CHECK:         %[[CURR:[0-9a-zA-Z_\.]+]] = struct.readm {{.*}}\[@cell\] : {{.*}} {tableOffset = 0 : index}
+// CHECK:         constrain.eq %[[PREV]], %[[CURR]] : !felt.type, !felt.type