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{
"domain": "com.microsoft",
"name": "SkipSimplifiedLayerNormalization",
"sinceVersion": 1,
"description": "Adds `input` and `skip` (plus optional `bias`), then applies RMS normalization scaled by `gamma`. The optional second output exposes the pre-normalization sum. The schema's training-only mean and inverse-standard-deviation outputs are not implemented.",
"inputs": [
{
"role": "input",
"dtype": "T",
"description": "Input tensor of shape `(token_count, hidden_size)` or `(batch, sequence, hidden_size)`, normalized over the last axis."
},
{
"role": "skip",
"dtype": "T",
"description": "Residual tensor of the same shape as `input`, added before normalization."
},
{
"role": "gamma",
"dtype": "T",
"rank": 1,
"description": "1-D scale tensor with shape `(hidden_size)` applied after normalization."
},
{
"role": "bias",
"dtype": "T",
"rank": 1,
"optional": true,
"description": "Optional 1-D bias tensor with shape `(hidden_size)` added to the `input + skip` sum."
}
],
"outputs": [
{
"role": "output",
"dtype": "T",
"rank": "ranks.inputT",
"shape": "shapes.inputT",
"description": "Normalized output tensor with the same shape as `input`."
},
{
"role": "input_skip_bias_sum",
"dtype": "T",
"optional": true,
"rank": "ranks.inputT",
"shape": "shapes.inputT",
"description": "Sum of `input`, `skip`, and optional `bias` before normalization, with the same shape as `input`."
}
],
"attributes": { "epsilon": 9.999999960041972e-13 },
"attributeDescriptions": { "epsilon": "Non-negative epsilon added to the mean square before taking the square root." },
"args": {
"inputT": { "kind": "tensor", "semantic": "input", "role": "input" },
"skipT": { "kind": "tensor", "semantic": "skip", "role": "input" },
"gammaT": { "kind": "tensor", "semantic": "gamma", "role": "input" },
"biasT": { "kind": "tensor", "semantic": "bias", "role": "input", "required": false },
"outputT": { "kind": "tensor", "semantic": "output", "role": "output" },
"residualT": { "kind": "tensor", "semantic": "input_skip_bias_sum", "role": "output", "required": false }
},
"typeConstraints": { "T": ["float32", "float16"] },
"derive": {
"rowCount": "numel(shapes.inputT) / max(1, dim(shapes.inputT, -1))",
"hiddenSize": "dim(shapes.inputT, -1)",
"skipWg": "max(1, min(tunables.MAX_WORKGROUP_SIZE, device.limits.maxComputeInvocationsPerWorkgroup, device.limits.maxComputeWorkgroupSizeX, pow2ceil(hiddenSize)))",
"skipWgVec4": "max(1, min(tunables.MAX_WORKGROUP_SIZE, device.limits.maxComputeInvocationsPerWorkgroup, device.limits.maxComputeWorkgroupSizeX, pow2ceil(ceilDiv(hiddenSize, 4))))",
"rowDispatchFits": "rowCount <= device.limits.maxComputeWorkgroupsPerDimension * device.limits.maxComputeWorkgroupsPerDimension",
"normResourcesFit": "skipWg * 8 <= device.limits.maxComputeWorkgroupStorageSize and skipWgVec4 * 8 <= device.limits.maxComputeWorkgroupStorageSize",
"epsilonOk": "attrs.epsilon >= 0",
"coreContract": "epsilonOk and (ranks.inputT == 2 or ranks.inputT == 3) and ranks.skipT == ranks.inputT and ranks.gammaT == 1 and ranks.outputT == ranks.inputT and sameShape(shapes.inputT, shapes.skipT) and sameShape(shapes.outputT, shapes.inputT) and dim(shapes.inputT, -1) > 0 and dim(shapes.gammaT, 0) == dim(shapes.inputT, -1)",
"residualOutputContract": "present.residualT and sameShape(shapes.residualT, shapes.inputT)",
"outputOnlyContract": "not present.residualT",
"f32MainDtypes": "tensorDtypes.inputT == \"float32\" and tensorDtypes.skipT == \"float32\" and tensorDtypes.gammaT == \"float32\" and tensorDtypes.outputT == \"float32\"",
"f16MainDtypes": "tensorDtypes.inputT == \"float16\" and tensorDtypes.skipT == \"float16\" and tensorDtypes.gammaT == \"float16\" and tensorDtypes.outputT == \"float16\"",
"f32ResidualDtypes": "f32MainDtypes and tensorDtypes.residualT == \"float32\" if present.residualT else false",
"f16ResidualDtypes": "f16MainDtypes and tensorDtypes.residualT == \"float16\" if present.residualT else false",
"vec4Aligned": "dim(shapes.inputT, -1) % 4 == 0",
"hasSubgroups": "device.features.has(\"subgroups\") and device.wgslLanguageFeatures.has(\"subgroup_id\")",
"hasF16": "device.features.has(\"shader-f16\")",
"no_bias_contract": "not present.biasT",
"f32_bias_contract": "false if not present.biasT else (ranks.biasT == 1 and tensorDtypes.biasT == \"float32\" and dim(shapes.biasT, 0) == hiddenSize)",
"f16_bias_contract": "false if not present.biasT else (ranks.biasT == 1 and tensorDtypes.biasT == \"float16\" and dim(shapes.biasT, 0) == hiddenSize)",
"f32_no_bias_residual_contract": "coreContract and residualOutputContract and f32ResidualDtypes and no_bias_contract",
"f32_bias_residual_contract": "coreContract and residualOutputContract and f32ResidualDtypes and f32_bias_contract",
"f16_no_bias_residual_contract": "hasF16 and coreContract and residualOutputContract and f16ResidualDtypes and no_bias_contract",
"f16_bias_residual_contract": "hasF16 and coreContract and residualOutputContract and f16ResidualDtypes and f16_bias_contract",
"f32_no_bias_output_contract": "coreContract and outputOnlyContract and f32MainDtypes and no_bias_contract",
"f32_bias_output_contract": "coreContract and outputOnlyContract and f32MainDtypes and f32_bias_contract",
"f16_no_bias_output_contract": "hasF16 and coreContract and outputOnlyContract and f16MainDtypes and no_bias_contract",
"f16_bias_output_contract": "hasF16 and coreContract and outputOnlyContract and f16MainDtypes and f16_bias_contract"
},
"bindingSets": {
"vec4_no_bias_residual": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "input_skip_bias_sum",
"arg": "residualT",
"semantic": "input_skip_bias_sum",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{
"name": "rowStride",
"type": "u32",
"value": "max(1, min(rowCount, device.limits.maxComputeWorkgroupsPerDimension))"
},
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"vec4_bias_residual": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "bias",
"arg": "biasT",
"semantic": "bias",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "input_skip_bias_sum",
"arg": "residualT",
"semantic": "input_skip_bias_sum",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{
"name": "rowStride",
"type": "u32",
"value": "max(1, min(rowCount, device.limits.maxComputeWorkgroupsPerDimension))"
},
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"vec4_no_bias_output_only": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{
"name": "rowStride",
"type": "u32",
"value": "max(1, min(rowCount, device.limits.maxComputeWorkgroupsPerDimension))"
},
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"vec4_bias_output_only": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "bias",
"arg": "biasT",
"semantic": "bias",
"buffer": { "type": "read-only-storage" },
"elementType": "$vectorScalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$vectorScalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{
"name": "rowStride",
"type": "u32",
"value": "max(1, min(rowCount, device.limits.maxComputeWorkgroupsPerDimension))"
},
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"scalar_no_bias_residual": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "input_skip_bias_sum",
"arg": "residualT",
"semantic": "input_skip_bias_sum",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"scalar_bias_residual": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "bias",
"arg": "biasT",
"semantic": "bias",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "input_skip_bias_sum",
"arg": "residualT",
"semantic": "input_skip_bias_sum",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"scalar_no_bias_output_only": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
],
"scalar_bias_output_only": [
{
"name": "input",
"arg": "inputT",
"semantic": "input",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "skip",
"arg": "skipT",
"semantic": "skip",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar"
},
{
"name": "gamma",
"arg": "gammaT",
"semantic": "gamma",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "bias",
"arg": "biasT",
"semantic": "bias",
"buffer": { "type": "read-only-storage" },
"elementType": "$scalar",
"length": "$HIDDEN_LEN"
},
{
"name": "output",
"arg": "outputT",
"semantic": "output",
"buffer": { "type": "storage" },
"elementType": "$scalar"
},
{
"name": "params",
"semantic": "kernel.params",
"buffer": { "type": "uniform" },
"struct": {
"name": "Params",
"fields": [
{ "name": "rows", "type": "u32", "value": "rowCount" },
{ "name": "epsilon", "type": "f32", "value": "attrs.epsilon" }
]
}
}
]
},
"tunables": { "MAX_WORKGROUP_SIZE": 256 },
"variants": [
{
"id": "no_bias_vec4_f16",
"priority": 21,
"when": ["f16_no_bias_residual_contract", "vec4Aligned", "normResourcesFit", "rowDispatchFits"],
"constants": {
"scalar": "\"f16\"",
"vectorScalar": "\"vec4<f16>\"",
"hasBias": "\"no_bias\" == \"bias\"",
"HIDDEN_LEN": "hiddenSize / 4"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization.Vec4",
"source": {
"shader": "norm-skip-row-vec4.wgsl.jinja",
"inputs": {
"simplified": true,
"hasBias": "\"no_bias\" == \"bias\"",
"hasBeta": false,
"writeResidualSum": true,
"usesF16": true,
"hidden": "hiddenSize",
"hiddenVec": "hiddenSize / 4",
"wg": "skipWgVec4",
"vecType": "\"vec4<f16>\"",
"useSubgroups": "hasSubgroups"
}
},
"subgroupCollectivesWidth": "portable",
"bindings": "vec4_no_bias_residual",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_vec4",
"priority": 20,
"when": ["f32_no_bias_residual_contract", "vec4Aligned", "normResourcesFit", "rowDispatchFits"],
"constants": {
"scalar": "\"f32\"",
"vectorScalar": "\"vec4<f32>\"",
"hasBias": "\"no_bias\" == \"bias\"",
"HIDDEN_LEN": "hiddenSize / 4"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization.Vec4",
"source": {
"shader": "norm-skip-row-vec4.wgsl.jinja",
"inputs": {
"simplified": true,
"hasBias": "\"no_bias\" == \"bias\"",
"hasBeta": false,
"writeResidualSum": true,
"usesF16": false,
"hidden": "hiddenSize",
"hiddenVec": "hiddenSize / 4",
"wg": "skipWgVec4",
"vecType": "\"vec4<f32>\"",
"useSubgroups": "hasSubgroups"
}
},
"subgroupCollectivesWidth": "portable",
"bindings": "vec4_no_bias_residual",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_output_only_vec4",
"priority": 20,
"when": ["f32_no_bias_output_contract", "vec4Aligned", "normResourcesFit", "rowDispatchFits"],
"constants": {
"scalar": "\"f32\"",
"vectorScalar": "\"vec4<f32>\"",
"hasBias": "\"no_bias\" == \"bias\"",
"HIDDEN_LEN": "hiddenSize / 4"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization.Vec4OutputOnly",
"source": {
"shader": "norm-skip-row-vec4.wgsl.jinja",
"inputs": {
"simplified": true,
"hasBias": "\"no_bias\" == \"bias\"",
"hasBeta": false,
"writeResidualSum": false,
"usesF16": false,
"hidden": "hiddenSize",
"hiddenVec": "hiddenSize / 4",
"wg": "skipWgVec4",
"vecType": "\"vec4<f32>\"",
"useSubgroups": "hasSubgroups"
}
},
"subgroupCollectivesWidth": "portable",
"bindings": "vec4_no_bias_output_only",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_output_only_vec4_f16",
"priority": 21,
"when": ["f16_no_bias_output_contract", "vec4Aligned", "normResourcesFit", "rowDispatchFits"],
"constants": {
"scalar": "\"f16\"",
"vectorScalar": "\"vec4<f16>\"",
"hasBias": "\"no_bias\" == \"bias\"",
"HIDDEN_LEN": "hiddenSize / 4"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization.Vec4OutputOnly",
"source": {
"shader": "norm-skip-row-vec4.wgsl.jinja",
"inputs": {
"simplified": true,
"hasBias": "\"no_bias\" == \"bias\"",
"hasBeta": false,
"writeResidualSum": false,
"usesF16": true,
"hidden": "hiddenSize",
"hiddenVec": "hiddenSize / 4",
"wg": "skipWgVec4",
"vecType": "\"vec4<f16>\"",
"useSubgroups": "hasSubgroups"
}
},
"subgroupCollectivesWidth": "portable",
"bindings": "vec4_no_bias_output_only",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias",
"priority": 0,
"when": ["f32_no_bias_residual_contract", "normResourcesFit", "rowDispatchFits"],
"constants": {
"simplified": true,
"useSubgroups": false,
"hasBeta": false,
"writeResidualSum": true,
"hasBias": "\"no_bias\" == \"bias\"",
"scalar": "\"f32\"",
"hiddenSize": "dim(shapes.inputT, -1)",
"workgroupSize": "skipWg",
"HIDDEN_LEN": "hiddenSize"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization",
"shader": "norm-skip-row.wgsl.jinja",
"bindings": "scalar_no_bias_residual",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_f16",
"requires": { "features": ["shader-f16"] },
"priority": 0,
"when": ["f16_no_bias_residual_contract", "normResourcesFit", "rowDispatchFits"],
"constants": {
"simplified": true,
"useSubgroups": false,
"hasBeta": false,
"writeResidualSum": true,
"hasBias": "\"no_bias\" == \"bias\"",
"scalar": "\"f16\"",
"usesF16": true,
"hiddenSize": "dim(shapes.inputT, -1)",
"workgroupSize": "skipWg",
"HIDDEN_LEN": "hiddenSize"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization",
"shader": "norm-skip-row.wgsl.jinja",
"bindings": "scalar_no_bias_residual",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_output_only_f16",
"requires": { "features": ["shader-f16"] },
"priority": 0,
"when": ["f16_no_bias_output_contract", "normResourcesFit", "rowDispatchFits"],
"constants": {
"simplified": true,
"useSubgroups": false,
"hasBeta": false,
"writeResidualSum": false,
"hasBias": "\"no_bias\" == \"bias\"",
"scalar": "\"f16\"",
"usesF16": true,
"hiddenSize": "dim(shapes.inputT, -1)",
"workgroupSize": "skipWg",
"HIDDEN_LEN": "hiddenSize"
},
"passes": [
{
"id": "main",
"name": "SkipSimplifiedLayerNormalization.OutputOnly",
"shader": "norm-skip-row.wgsl.jinja",
"bindings": "scalar_no_bias_output_only",
"dispatch": { "workgroups": "rowCount" }
}
]
},
{
"id": "no_bias_output_only",
"priority": 0,
"when": ["f32_no_bias_output_contract", "normResourcesFit", "rowDispatchFits"],
"constants": {
"simplified": true,
"useSubgroups": false,
"hasBeta": false,
"writeResidualSum": false,
"hasBias": "\"no_bias\" == \"bias\"",
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]
}