diff --git a/index.bs b/index.bs
index ff58ae67..3b07c538 100644
--- a/index.bs
+++ b/index.bs
@@ -1563,13 +1563,13 @@ partial interface MLGraphBuilder {
     1. If |variance|'s [=MLOperand/shape=][0] is not equal to |input|'s [=MLOperand/shape=][|options|.{{MLBatchNormalizationOptions/axis}}], then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLBatchNormalizationOptions/scale}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLBatchNormalizationOptions/scale}}'s [=MLOperand/shape=][0] is not equal to |input|'s [=MLOperand/shape=][|options|.{{MLBatchNormalizationOptions/axis}}], then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not equal to |input|'s [=MLOperand/shape=][|options|.{{MLBatchNormalizationOptions/axis}}], then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLBatchNormalizationOptions/bias}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLBatchNormalizationOptions/bias}}'s [=MLOperand/shape=][0] is not equal to |input|'s [=MLOperand/shape=][|options|.{{MLBatchNormalizationOptions/axis}}], then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not equal to |input|'s [=MLOperand/shape=][|options|.{{MLBatchNormalizationOptions/axis}}], then [=exception/throw=] a {{TypeError}}.
     1. *Make graph connections:*
         1. Let |operator| be an [=operator=] for the batchNormalization operation, given |input|, |mean|, |variance| and |options|.
-        1. Let |output| be the result of [=creating an MLOperand=] given [=this=] and |input|.{{MLOperand/[[descriptor]]}}, that may use the same underlying data as |input|.
+        1. Let |output| be the result of [=creating an MLOperand=] given [=this=] and |input|.{{MLOperand/[[descriptor]]}}.
         1. If |options|.{{MLBatchNormalizationOptions/activation}} [=map/exists=], then add it to |operator|'s [=operator/activation functions=].
         1. Set |output|.{{MLOperand/[[operator]]}} to |operator|.
         1. Set |operator|'s [=operator/inputs=] to |input|, |mean|, and |variance|.
@@ -1903,7 +1903,7 @@ partial interface MLGraphBuilder {
     1. If |options|.{{MLConv2dOptions/activation}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and it returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |input|'s [=MLOperand/rank=] is not 4, then [=exception/throw=] a {{TypeError}}.
     1. If |filter|'s [=MLOperand/rank=] is not 4, then [=exception/throw=] a {{TypeError}}.
-    1. If |input|'s [=MLOperand/dataType=] is not the same as |filter|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
+    1. If |filter|'s [=MLOperand/dataType=] is not equal to |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLConv2dOptions/padding}} does not [=map/exist=], set it to the [=/list=] « 0, 0, 0, 0 ».
     1. Else if |options|.{{MLConv2dOptions/padding}}'s [=list/size=] is not 4, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLConv2dOptions/strides}} does not [=map/exist=], set it to the [=/list=] « 1, 1 ».
@@ -1959,9 +1959,9 @@ partial interface MLGraphBuilder {
         1. If |inputChannels| % |options|.{{MLConv2dOptions/groups}} is not 0, then [=exception/throw=] a {{TypeError}}.
         1. Else if |inputChannels| / |options|.{{MLConv2dOptions/groups}} is not equal to |filterInputChannels|, then [=exception/throw=] a {{TypeError}}.
         1. If |options|.{{MLConv2dOptions/bias}} [=map/exists=]:
-            1. If |options|.{{MLConv2dOptions/bias}}'s [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-            1. If |options|.{{MLConv2dOptions/bias}}'s [=MLOperand/shape=][0] is not equal to |outputChannels|, then [=exception/throw=] a {{TypeError}}.
-            1. If |options|.{{MLConv2dOptions/bias}}'s [=MLOperand/dataType=] is not the same as |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/shape=][0] is not equal to |outputChannels|, then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/dataType=] is not equal to |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
         1. Let |outputSizes| be the result of [=MLGraphBuilder/calculating conv2d output sizes=] given |inputHeight|, |inputWidth|, |filterHeight|, |filterWidth|, |options|.{{MLConv2dOptions/padding}}, |options|.{{MLConv2dOptions/strides}}, and |options|.{{MLConv2dOptions/dilations}}.
         1. Switch on |options|.{{MLConv2dOptions/inputLayout}}:
             <dl class=switch>
@@ -2118,7 +2118,7 @@ partial interface MLGraphBuilder {
     1. If |options|.{{MLConvTranspose2dOptions/activation}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and it returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |input|'s [=MLOperand/rank=] is not 4, then [=exception/throw=] a {{TypeError}}.
     1. If |filter|'s [=MLOperand/rank=] is not 4, then [=exception/throw=] a {{TypeError}}.
-    1. If |input|'s [=MLOperand/dataType=] is not the same as |filter|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
+    1. If |filter|'s [=MLOperand/dataType=] is not equal to |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLConvTranspose2dOptions/padding}} does not [=map/exist=], set it to the [=/list=] « 0, 0, 0, 0 ».
     1. Else if |options|.{{MLConvTranspose2dOptions/padding}}'s [=list/size=] is not 4, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLConvTranspose2dOptions/strides}} does not [=map/exist=], set it to the [=/list=] « 1, 1 ».
@@ -2129,7 +2129,7 @@ partial interface MLGraphBuilder {
     1. If |options|.{{MLConvTranspose2dOptions/outputPadding}} does not [=map/exist=], set it to the [=/list=] « 0, 0 ».
     1. Else if |options|.{{MLConvTranspose2dOptions/outputPadding}}'s [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLConvTranspose2dOptions/outputSizes}} [=map/exists=]:
-        1. If |options|.{{MLConvTranspose2dOptions/outputSizes}}'s [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
     1. Otherwise:
         1. If |options|.{{MLConvTranspose2dOptions/outputPadding}}[0] is greater than or equal to |options|.{{MLConvTranspose2dOptions/strides}}[0], or |options|.{{MLConvTranspose2dOptions/outputPadding}}[1] is greater than or equal to |options|.{{MLConvTranspose2dOptions/strides}}[1], then [=exception/throw=] a {{TypeError}}.
     1. *Calculate the output shape:*
@@ -2173,9 +2173,9 @@ partial interface MLGraphBuilder {
         1. If |inputChannels| is not equal to |filterInputChannels|, then [=exception/throw=] a {{TypeError}}.
         1. Let |outputChannels| be |filterOutputChannels| * |options|.{{MLConvTranspose2dOptions/groups}}
         1. If |options|.{{MLConvTranspose2dOptions/bias}} [=map/exists=]:
-            1. If |options|.{{MLConvTranspose2dOptions/bias}}'s [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-            1. If |options|.{{MLConvTranspose2dOptions/bias}}'s [=MLOperand/shape=][0] is not equal to |outputChannels|, then [=exception/throw=] a {{TypeError}}.
-            1. If |options|.{{MLConvTranspose2dOptions/bias}}'s [=MLOperand/dataType=] is not the same as |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/shape=][0] is not equal to |outputChannels|, then [=exception/throw=] a {{TypeError}}.
+            1. If its [=MLOperand/dataType=] is not equal to |input|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
         1. If |options|.{{MLConvTranspose2dOptions/outputSizes}} [=map/exists=], let |outputSizes| be |options|.{{MLConvTranspose2dOptions/outputSizes}}.
         1. Else let |outputSizes| be the result of [=MLGraphBuilder/calculating convtranspose2d output sizes=] given |inputHeight|, |inputWidth|, |filterHeight|, |filterWidth|, |options|.{{MLConvTranspose2dOptions/padding}}, |options|.{{MLConvTranspose2dOptions/strides}}, |options|.{{MLConvTranspose2dOptions/dilations}}, and |options|.{{MLConvTranspose2dOptions/outputPadding}}.
         1. Switch on |options|.{{MLConvTranspose2dOptions/inputLayout}}:
@@ -2358,7 +2358,7 @@ Although operations {{MLGraphBuilder/greaterOrEqual()}} and {{MLGraphBuilder/les
     1. [=Assert=]: |op| is one of "equal", "greater", "greaterOrEqual", "lesser", "lesserOrEqual", "not".
     1. If |op| is "not".
         1. If [=MLGraphBuilder/validating operand=] with [=this=] and |a| returns false, then [=exception/throw=] a {{TypeError}}.
-        1. If |a|'s [=MLOperand/dataType=] isn't {{MLOperandDataType/"uint8"}}, then [=exception/throw=] a {{TypeError}}.
+        1. If |a|'s [=MLOperand/dataType=] is not {{MLOperandDataType/"uint8"}}, then [=exception/throw=] a {{TypeError}}.
     1. If |op| is anything else but "not".
         1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |a| and |b| returns false, then [=exception/throw=] a {{TypeError}}.
         1. If |a|'s [=MLOperand/dataType=] is not equal to |b|'s [=MLOperand/dataType=], then [=exception/throw=] a {{TypeError}}.
@@ -2730,7 +2730,7 @@ partial interface MLGraphBuilder {
     The <dfn method for=MLGraphBuilder>gather(|input|, |indices|, |options|)</dfn> method steps are:
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input| and |indices| returns false, then [=exception/throw=] a {{TypeError}}.
-    1. If |indices|'s [=MLOperand/dataType=] is neither {{MLOperandDataType/"uint32"}} nor {{MLOperandDataType/"int64"}}, then [=exception/throw=] a {{TypeError}}.
+    1. If |indices|'s [=MLOperand/dataType=] is not {{MLOperandDataType/"uint32"}} or {{MLOperandDataType/"int64"}}, then [=exception/throw=] a {{TypeError}}.
     1. Let |shapeInput| be |input|'s [=MLOperand/shape=] and |rankInput| be |shapeInput|'s [=MLOperand/rank=].
     1. Let |shapeIndices| be |indices|'s [=MLOperand/shape=].
     1. Let |axis| be |options|.{{MLGatherOptions/axis}}.
@@ -2948,7 +2948,7 @@ partial interface MLGraphBuilder {
     1. If |options|.{{MLGemmOptions/aTranspose}} is true, then reverse the order of the items in |shapeA|.
     1. If |options|.{{MLGemmOptions/bTranspose}} is true, then reverse the order of the items in |shapeB|.
     1. If |shapeA|[1] is not equal to |shapeB|[0], then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLGemmOptions/c}} [=map/exists=] and is not [=unidirectionally broadcastable=] to the shape [|shapeA|[0], |shapeB|[1]], then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLGemmOptions/c}} [=map/exists=] and is not [=unidirectionally broadcastable=] to the shape « |shapeA|[0], |shapeB|[1] », then [=exception/throw=] a {{TypeError}}.
         <div class="note">
             Type compatibility between |a|, |b| and |options|.{{MLGemmOptions/c}} can be also checked.
         </div>
@@ -3072,12 +3072,12 @@ partial interface MLGraphBuilder {
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |weight|, |recurrentWeight|, |options|.{{MLGruOptions/bias}} (if it [=map/exists=]), |options|.{{MLGruOptions/recurrentBias}} (if it [=map/exists=]), and |options|.{{MLGruOptions/initialHiddenState}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLGruOptions/activations}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and any [=list/item=] in it returns false, then [=exception/throw=] a {{TypeError}}.
-    1. If |input|'s [=MLOperand/rank=] or |weight| or |recurrentWeight| is not 3, then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLGruOptions/bias}} [=map/exists=].
-        1. If |options|.{{MLGruOptions/bias}}'s [=MLOperand/shape=][1] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLGruOptions/recurrentBias}} [=map/exists=].
-        1. If |options|.{{MLGruOptions/recurrentBias}}'s [=MLOperand/shape=][1] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLGruOptions/initialHiddenState}} [=map/exists=].
+    1. If the [=MLOperand/rank=] of any of |input|, |weight| or |recurrentWeight| is not 3, then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLGruOptions/bias}} [=map/exists=]:
+        1. If its [=MLOperand/shape=][1] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLGruOptions/recurrentBias}} [=map/exists=]:
+        1. If its [=MLOperand/shape=][1] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLGruOptions/initialHiddenState}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 3, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLGruOptions/activations}} [=map/exists=] and its [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
     1. If |steps| is not equal to |input|'s [=MLOperand/shape=][0], then [=exception/throw=] a {{TypeError}}.
@@ -3240,7 +3240,7 @@ partial interface MLGraphBuilder {
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |weight|, |recurrentWeight|, |hiddenState|, |options|.{{MLGruCellOptions/bias}} (if it [=map/exists=]), and |options|.{{MLGruCellOptions/recurrentBias}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLGruCellOptions/activations}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and any [=list/item=] in it returns false, then [=exception/throw=] a {{TypeError}}.
-    1. If |input|'s [=MLOperand/rank=] or |weight| or |recurrentWeight| or |hiddenState| is not 2, then [=exception/throw=] a {{TypeError}}.
+    1. If the [=MLOperand/rank=] of any of |input|, |weight|, |recurrentWeight| or |hiddenState| is not 2, then [=exception/throw=] a {{TypeError}}.
     1. If |weight|'s [=MLOperand/shape=][0] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |recurrentWeight|'s [=MLOperand/shape=][0] is not equal to 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLGruOptions/bias}} [=map/exists=]:
@@ -3566,8 +3566,10 @@ partial interface MLGraphBuilder {
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |options|.{{MLInstanceNormalizationOptions/scale}} (if it [=map/exists=]), and |options|.{{MLInstanceNormalizationOptions/bias}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |input|'s [=MLOperand/rank=] is not 4, then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLInstanceNormalizationOptions/scale}}'s [=MLOperand/rank=] is not equal to 1, then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLInstanceNormalizationOptions/bias}}'s [=MLOperand/rank=] is not equal to 1, then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLInstanceNormalizationOptions/scale}} [=map/exists=]:
+        1. If its [=MLOperand/rank=] is not equal to 1, then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLInstanceNormalizationOptions/bias}} [=map/exists=]:
+        1. If its [=MLOperand/rank=] is not equal to 1, then [=exception/throw=] a {{TypeError}}.
     1. *Make graph connections:*
         1. Let |output| be the result of [=copying an MLOperand=] given |input|.
         1. Let |operator| be an [=operator=] for the instance normalization operation, given |options|.
@@ -3662,14 +3664,18 @@ partial interface MLGraphBuilder {
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |options|.{{MLLayerNormalizationOptions/scale}} (if it [=map/exists=]), and |options|.{{MLLayerNormalizationOptions/bias}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLayerNormalizationOptions/axes}} does not [=map/exist=], then set |options|.{{MLLayerNormalizationOptions/axes}} to a new [=/list=], either equal to [=the range=] from 1 to |input|'s [=MLOperand/rank=], exclusive, if |input|'s [=MLOperand/rank=] is greater than 1, or an empty [=/list=] otherwise.
-    1. If |options|.{{MLLayerNormalizationOptions/scale}}'s [=MLOperand/rank=] is not equal to |options|.{{MLLayerNormalizationOptions/axes}}'s [=list/size=], then [=exception/throw=] a {{TypeError}}.
-    1. If |options|.{{MLLayerNormalizationOptions/bias}}'s [=MLOperand/rank=] is not equal to |options|.{{MLLayerNormalizationOptions/axes}}'s [=list/size=], then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLLayerNormalizationOptions/scale}} [=map/exists=]:
+        1. If its [=MLOperand/rank=] is not equal to |options|.{{MLLayerNormalizationOptions/axes}}'s [=list/size=], then [=exception/throw=] a {{TypeError}}.
+    1. If |options|.{{MLLayerNormalizationOptions/bias}} [=map/exists=]:
+        1. If its [=MLOperand/rank=] is not equal to |options|.{{MLLayerNormalizationOptions/axes}}'s [=list/size=], then [=exception/throw=] a {{TypeError}}.
     1. [=list/For each=] |index| in [=the range=] 0 to |options|.{{MLLayerNormalizationOptions/axes}}'s [=list/size=], exclusive:
         1. Let |axis| be |options|.{{MLLayerNormalizationOptions/axes}}[|index|].
         1. If |axis| is greater or equal to |input|'s [=MLOperand/rank=], then [=exception/throw=] a {{TypeError}}.
         1. Let |size| be |input|'s [=MLOperand/shape=][|axis|].
-        1. If |options|.{{MLLayerNormalizationOptions/scale}}'s [=MLOperand/shape=][|index|] is not equal to |size|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLayerNormalizationOptions/bias}}'s [=MLOperand/shape=][|index|] is not equal to |size|, then [=exception/throw=] a {{TypeError}}.
+        1. If |options|.{{MLLayerNormalizationOptions/scale}} [=map/exists=]:
+            1. If its [=MLOperand/shape=][|index|] is not equal to |size|, then [=exception/throw=] a {{TypeError}}.
+        1. If |options|.{{MLLayerNormalizationOptions/bias}} [=map/exists=]:
+            1. If its [=MLOperand/shape=][|index|] is not equal to |size|, then [=exception/throw=] a {{TypeError}}.
     1. *Make graph connections:*
         1. Let |output| be the result of [=copying an MLOperand=] given |input|.
         1. Let |operator| be an [=operator=] for the layer normalization operation, given |options|.
@@ -3956,31 +3962,31 @@ partial interface MLGraphBuilder {
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |weight|, |recurrentWeight|, |options|.{{MLLstmOptions/bias}} (if it [=map/exists=]), |options|.{{MLLstmOptions/recurrentBias}} (if it [=map/exists=]), |options|.{{MLLstmOptions/peepholeWeight}} (if it [=map/exists=]), |options|.{{MLLstmOptions/initialHiddenState}} (if it [=map/exists=]), and |options|.{{MLLstmOptions/initialCellState}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/activations}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and any [=list/item=] in it returns false, then [=exception/throw=] a {{TypeError}}.
     1. Let |numDirections| be 1 if |options|.{{MLLstmOptions/direction}} is {{MLRecurrentNetworkDirection/"forward"}}, or otherwise let it be 2.
-    1. If |input|'s [=MLOperand/rank=] or |weight| or |recurrentWeight| is not 3, then [=exception/throw=] a {{TypeError}}.
+    1. If the [=MLOperand/rank=] of any of |input|, |weight| or |recurrentWeight| is not 3, then [=exception/throw=] a {{TypeError}}.
     1. If |input|'s [=MLOperand/shape=][0] is not equal to |steps|, then [=exception/throw=] a {{TypeError}}.
     1. Let |batchSize| be |input|'s [=MLOperand/shape=][1].
     1. If |options|.{{MLLstmOptions/bias}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 2, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/bias}}'s [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/bias}}'s [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/recurrentBias}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 2, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/recurrentBias}}'s [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/recurrentBias}}'s [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/peepholeWeight}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 2, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/peepholeWeight}}'s [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/peepholeWeight}}'s [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][1] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/initialHiddenState}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 3, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialHiddenState}}'s [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialHiddenState}}'s [=MLOperand/shape=][1] is not equal to |batchSize|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialHiddenState}}'s [=MLOperand/shape=][2] is not |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][1] is not equal to |batchSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][2] is not |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/initialCellState}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 3, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialCellState}}'s [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialCellState}}'s [=MLOperand/shape=][1] is not equal to |batchSize|, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmOptions/initialCellState}}'s [=MLOperand/shape=][2] is not |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not |numDirections|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][1] is not equal to |batchSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][2] is not |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmOptions/activations}} [=map/exists=]:
         1. If its [=list/size=] is not 3, then [=exception/throw=] a {{TypeError}}.
     1. *Calculate the output shape:*
@@ -4162,17 +4168,17 @@ partial interface MLGraphBuilder {
   </summary>
     1. If [=MLGraphBuilder/validating operand=] with [=this=] and any of |input|, |weight|, |recurrentWeight|, |hiddenState|, |cellState|, |options|.{{MLLstmCellOptions/bias}} (if it [=map/exists=]), |options|.{{MLLstmCellOptions/recurrentBias}} (if it [=map/exists=]), and |options|.{{MLLstmCellOptions/peepholeWeight}} (if it [=map/exists=]) returns false, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmCellOptions/activations}} [=map/exists=], and [=MLGraphBuilder/validating activation=] with [=this=] and any [=list/item=] in it returns false, then [=exception/throw=] a {{TypeError}}.
-    1. If |input|'s [=MLOperand/rank=], |weight|, |recurrentWeight|, |hiddenState| or |cellState| is not 2, then [=exception/throw=] a {{TypeError}}.
+    1. If the [=MLOperand/rank=] of any of |input|, |weight|, |recurrentWeight|, |hiddenState| or |cellState| is not 2, then [=exception/throw=] a {{TypeError}}.
     1. Let |batchSize| be |input|'s [=MLOperand/shape=][0].
     1. If |options|.{{MLLstmCellOptions/bias}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmCellOptions/bias}}'s [=MLOperand/shape=][0] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmCellOptions/recurrentBias}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmCellOptions/recurrentBias}}'s [=MLOperand/shape=][0] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not 4 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmCellOptions/peepholeWeight}} [=map/exists=]:
         1. If its [=MLOperand/rank=] is not 1, then [=exception/throw=] a {{TypeError}}.
-        1. If |options|.{{MLLstmCellOptions/peepholeWeight}}'s [=MLOperand/shape=][0] is not 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/shape=][0] is not 3 * |hiddenSize|, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLLstmCellOptions/activations}} [=map/exists=]:
         1. If its [=list/size=] is not 3, then [=exception/throw=] a {{TypeError}}.
     1. Let |desc| be a new {{MLOperandDescriptor}}.
@@ -4649,8 +4655,8 @@ partial interface MLGraphBuilder {
     1. If |options|.{{MLPool2dOptions/strides}}'s [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
     1. If any value in |options|.{{MLPool2dOptions/strides}} is not greater than 0, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLPool2dOptions/outputSizes}} [=map/exists=]:
-        1. If |options|.{{MLPool2dOptions/outputSizes}}'s [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
-        1. If the elements of |options|.{{MLPool2dOptions/outputSizes}} are not smaller than the elements at the same dimension (index) for |options|.{{MLPool2dOptions/strides}}, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
+        1. If its elements are not smaller than the elements at the same dimension (index) for |options|.{{MLPool2dOptions/strides}}, then [=exception/throw=] a {{TypeError}}.
     1. If |options|.{{MLPool2dOptions/dilations}} does not [=map/exist=], set |options|.{{MLPool2dOptions/dilations}} to the [=/list=] « 1, 1 ».
     1. If |options|.{{MLPool2dOptions/dilations}}'s [=list/size=] is not 2, then [=exception/throw=] a {{TypeError}}.
     1. If any value in |options|.{{MLPool2dOptions/dilations}} is not greater than 0, then [=exception/throw=] a {{TypeError}}.
@@ -4919,10 +4925,7 @@ partial interface MLGraphBuilder {
 <div class="note">
   <details open>
     <summary>
-    The behavior of several reduction operations can be generically emulated from the usage of
-    other operations as follows. However, user agents typically have a more
-    efficient implementation for them, therefore their usage is encouraged from the
-    performance standpoint.
+    The behavior of several reduction operations can be [EMULATED]
     </summary>
     <pre highlight="js">
     // reduceLogSum(input, options)
@@ -5649,9 +5652,9 @@ partial interface MLGraphBuilder {
   </summary>
     1. If |options|.{{MLTransposeOptions/permutation}} does not [=map/exist=], let |options|.{{MLTransposeOptions/permutation}} be the reversed sequence of all indices for |input|'s [=MLOperand/shape=].
     1. Otherwise if |options|.{{MLTransposeOptions/permutation}} [=map/exists=]:
-        1. If |options|.{{MLTransposeOptions/permutation}}'s [=MLOperand/rank=] is not the same as |input|'s [=MLOperand/rank=], then [=exception/throw=] a {{TypeError}}.
-        1. If the values in |options|.{{MLTransposeOptions/permutation}} are not in [=the range=] 0 and |input|'s [=MLOperand/rank=] exclusive, then [=exception/throw=] a {{TypeError}}.
-        1. If the values in |options|.{{MLTransposeOptions/permutation}} contain duplicate value, then [=exception/throw=] a {{TypeError}}.
+        1. If its [=MLOperand/rank=] is not equal to |input|'s [=MLOperand/rank=], then [=exception/throw=] a {{TypeError}}.
+        1. If its values are not in [=the range=] 0 to |input|'s [=MLOperand/rank=] exclusive, then [=exception/throw=] a {{TypeError}}.
+        1. If it contains duplicate values, then [=exception/throw=] a {{TypeError}}.
     1. *Make graph connections:*
         1. Let |output| be the result of [=copying an MLOperand=] given |input|.
         1. Let |operator| be an [=operator=] for the transpose operation, given |options|.