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{
"domain": "ai.onnx",
"name": "SimplifiedLayerNormalization",
"conformance": "legacy-default-domain",
"sinceVersion": 1,
"inputs": { "x": { "onnx": "X", "dtype": "T" }, "scale": { "dtype": "V" } },
"outputs": {
"y": { "onnx": "Y", "dtype": "V", "rank": "ranks.x", "shape": "shapes.x" },
"invStdVar": {
"onnx": "inv_std_var",
"dtype": "U",
"rank": "ranks.x",
"optional": true,
"shape": "prefix(shapes.x, axisNorm) + fill(1, ranks.x - axisNorm)"
}
},
"attributes": {
"axis": { "default": -1 },
"epsilon": { "default": 0.00001 },
"stash_type": { "default": 1 },
"keep_dims": { "default": 1 }
},
"attributeConstraints": { "stash_type": { "values": [1] }, "keep_dims": { "values": [1] } },
"typeConstraints": { "T": ["float32", "float16"], "V": ["float32", "float16"], "U": ["float32"] },
"tunables": {
"WORKGROUP_SIZE": { "default": 256 },
"SPLIT_MAX_ROWS": { "default": 256 },
"SPLIT_MIN_HIDDEN": { "default": 16384 },
"SPLIT_TARGET_ELEMENTS": { "default": 4096 },
"MAX_SPLITS": { "default": 64 }
},
"derive": {
"deviceWorkgroupCap": "min(device.limits.maxComputeInvocationsPerWorkgroup, device.limits.maxComputeWorkgroupSizeX)",
"wave32Adapter": "has(device.adapterInfo, \"subgroupMinSize\") and has(device.adapterInfo, \"subgroupMaxSize\") and device.adapterInfo.subgroupMinSize == 32 and device.adapterInfo.subgroupMaxSize == 32",
"reportedNonWave32Adapter": "not wave32Adapter and (has(device.adapterInfo, \"subgroupMinSize\") or has(device.adapterInfo, \"subgroupMaxSize\"))",
"normMaxWorkgroup": "min(tunables.WORKGROUP_SIZE, deviceWorkgroupCap)",
"hasSubgroupId": "device.features.has(\"subgroups\") and device.wgslLanguageFeatures.has(\"subgroup_id\")",
"axisNorm": "attrs.axis if attrs.axis >= 0 else attrs.axis + ranks.x",
"normRows": "outer(shapes.x, axisNorm)",
"normHidden": "dim(shapes.x, axisNorm) * inner(shapes.x, axisNorm)",
"normRowStride": "max(1, min(normRows, min(device.limits.maxComputeWorkgroupsPerDimension, 65535)))",
"rowWg": "min(normMaxWorkgroup, pow2ceil(max(1, normHidden)))",
"baseOk": "ranks.x >= 1 and sameShape(shapes.y, shapes.x) and ranks.scale >= 0 and ranks.scale <= ranks.x and broadcastable(shapes.scale, shapes.x) and attrs.axis + ranks.x >= 0 and attrs.axis < ranks.x and normHidden > 0 and attrs.stash_type == onnxDtypeCode(\"float32\") and f16Ok(dtypes.T) and f16Ok(dtypes.V)",
"lastAxisOk": "baseOk and (attrs.axis == -1 or attrs.axis == ranks.x - 1)",
"suffixAxisOk": "baseOk and ranks.x >= 2 and not (attrs.axis == -1 or attrs.axis == ranks.x - 1)",
"noStats": "not present.invStdVar",
"statsOk": "present.invStdVar and ranks.invStdVar == ranks.x and sameShape(prefix(shapes.invStdVar, axisNorm), prefix(shapes.x, axisNorm)) and numel(suffix(shapes.invStdVar, axisNorm)) == 1",
"sameDtype": "dtypes.T == dtypes.V",
"splitCount": "min(tunables.MAX_SPLITS, pow2ceil(ceilDiv(normHidden, tunables.SPLIT_TARGET_ELEMENTS)))",
"splitScratchBytes": "normRows * splitCount * 4",
"splitFits": "normRows <= tunables.SPLIT_MAX_ROWS and splitCount <= min(device.limits.maxComputeWorkgroupsPerDimension, 65535) and splitScratchBytes <= device.limits.maxStorageBufferBindingSize and splitScratchBytes <= device.limits.maxBufferSize"
},
"bindings": {
"x": { "buffer": "read-only-storage", "elementType": "$xElement" },
"scale": { "buffer": "read-only-storage", "elementType": "$ioElement" },
"y": { "buffer": "storage", "elementType": "$ioElement" },
"params": {
"buffer": "uniform",
"struct": [
{ "name": "rows", "type": "u32", "value": "normRows" },
{ "name": "rowStride", "type": "u32", "value": "normRowStride" }
]
},
"inv_std_out": { "arg": "invStdVar", "buffer": "storage", "elementType": "f32" },
"partials_2": { "name": "partials", "buffer": "read-only-storage", "elementType": "f32" }
},
"variants": [
{
"id": "last_axis",
"priority": 1,
"when": ["lastAxisOk", "noStats"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "rowWg",
"epsilon": "attrs.epsilon"
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.Row",
"shader": "rms-normalization.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": false,
"rmsScaleAfterCast": false
},
"bindings": ["x", "scale", "y", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 }
}
]
},
{
"id": "last_axis_stats",
"priority": 2,
"when": ["lastAxisOk", "statsOk"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "rowWg",
"epsilon": "attrs.epsilon"
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.Row",
"shader": "rms-normalization.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": true,
"rmsScaleAfterCast": false
},
"bindings": ["x", "scale", "y", "inv_std_out", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 }
}
]
},
{
"id": "suffix_axis",
"priority": 10,
"when": ["suffixAxisOk", "noStats"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "rowWg",
"epsilon": "attrs.epsilon"
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.Row",
"shader": "rms-normalization.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": false,
"rmsScaleAfterCast": false
},
"bindings": ["x", "scale", "y", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 }
}
]
},
{
"id": "suffix_axis_stats",
"priority": 11,
"when": ["suffixAxisOk", "statsOk"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "rowWg",
"epsilon": "attrs.epsilon"
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.Row",
"shader": "rms-normalization.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": true,
"rmsScaleAfterCast": false
},
"bindings": ["x", "scale", "y", "inv_std_out", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 }
}
]
},
{
"id": "suffix_axis_splitk",
"priority": 15,
"when": ["baseOk", "ranks.x >= 2", "noStats", "splitFits"],
"demoteWhen": ["reportedNonWave32Adapter", "normHidden < tunables.SPLIT_MIN_HIDDEN"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "normMaxWorkgroup",
"split": "splitCount",
"epsilon": "attrs.epsilon",
"normalizeRows": "normRows"
},
"intermediates": [{ "id": "partials", "dtype": "float32", "shape": "[normRows * splitCount]" }],
"passes": [
{
"id": "partials",
"name": "SimplifiedLayerNormalization.SplitKPartials",
"shader": "rms-normalization-splitk-partials.wgsl.jinja",
"bindings": ["x", { "name": "partials", "buffer": "storage", "elementType": "f32" }, "params"],
"dispatch": {
"x": "min(normRows, DISPATCH_FOLD_WIDTH)",
"y": "ceilDiv(normRows, DISPATCH_FOLD_WIDTH)",
"z": "splitCount"
}
},
{
"id": "normalize",
"name": "SimplifiedLayerNormalization.SplitKNormalize",
"shader": "rms-normalization-splitk-normalize.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": false,
"rmsScaleAfterCast": false,
"normalizeBlocks": "max(split, min(min(device.limits.maxComputeWorkgroupsPerDimension, 65535), ceilDiv(workgroupSize, max(1, normalizeRows)), ceilDiv(hiddenSize, workgroupSize * 4)))",
"normalizeChunk": "ceilDiv(hiddenSize, normalizeBlocks)"
},
"bindings": ["x", "scale", "partials_2", "y", "params"],
"dispatch": {
"x": "min(normRows, DISPATCH_FOLD_WIDTH)",
"y": "ceilDiv(normRows, DISPATCH_FOLD_WIDTH)",
"z": "normalizeBlocks"
}
}
]
},
{
"id": "suffix_axis_splitk_stats",
"priority": 16,
"when": ["baseOk", "ranks.x >= 2", "statsOk", "splitFits"],
"demoteWhen": ["reportedNonWave32Adapter", "normHidden < tunables.SPLIT_MIN_HIDDEN"],
"derive": {
"scalar": "dtypes.V",
"xElement": "dtypes.T",
"ioElement": "dtypes.V",
"hiddenSize": "normHidden",
"workgroupSize": "normMaxWorkgroup",
"split": "splitCount",
"epsilon": "attrs.epsilon",
"normalizeRows": "normRows"
},
"intermediates": [{ "id": "partials", "dtype": "float32", "shape": "[normRows * splitCount]" }],
"passes": [
{
"id": "partials",
"name": "SimplifiedLayerNormalization.SplitKPartials",
"shader": "rms-normalization-splitk-partials.wgsl.jinja",
"bindings": ["x", { "name": "partials", "buffer": "storage", "elementType": "f32" }, "params"],
"dispatch": {
"x": "min(normRows, DISPATCH_FOLD_WIDTH)",
"y": "ceilDiv(normRows, DISPATCH_FOLD_WIDTH)",
"z": "splitCount"
}
},
{
"id": "normalize",
"name": "SimplifiedLayerNormalization.SplitKNormalize",
"shader": "rms-normalization-splitk-normalize.wgsl.jinja",
"derive": {
"xShape": "shapes.x",
"scaleShape": "shapes.scale",
"xRank": "ranks.x",
"scaleRank": "ranks.scale",
"writeStats": true,
"rmsScaleAfterCast": false,
"normalizeBlocks": "max(split, min(min(device.limits.maxComputeWorkgroupsPerDimension, 65535), ceilDiv(workgroupSize, max(1, normalizeRows)), ceilDiv(hiddenSize, workgroupSize * 4)))",
"normalizeChunk": "ceilDiv(hiddenSize, normalizeBlocks)"
},
"bindings": ["x", "scale", "partials_2", "y", "inv_std_out", "params"],
"dispatch": {
"x": "min(normRows, DISPATCH_FOLD_WIDTH)",
"y": "ceilDiv(normRows, DISPATCH_FOLD_WIDTH)",
"z": "normalizeBlocks"
}
}
]
},
{
"id": "last_axis_row_vec4",
"priority": 110,
"when": ["lastAxisOk", "sameDtype", "noStats", "ranks.scale >= 1", "numel(shapes.scale) == dim(shapes.x, -1)", "dim(shapes.scale, -1) == dim(shapes.x, -1)", "dim(shapes.x, -1) % 4 == 0"],
"derive": {
"scalar": "dtypes.T",
"xElement": "\"vec4<\" ~ dtypes.T ~ \">\"",
"ioElement": "\"vec4<\" ~ dtypes.T ~ \">\""
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.LastAxisRow",
"shader": "norm-row-stats.wgsl.jinja",
"derive": {
"modeSpec": "\"rms\"",
"vec4": true,
"writeStats": false,
"rmsScaleAfterCast": false,
"scalar": "dtypes.T",
"usesF16Spec": "dtypes.T == \"f16\"",
"hidden": "dim(shapes.x, -1)",
"wg": "min(normMaxWorkgroup, pow2ceil(max(1, dim(shapes.x, -1) / 4)))",
"epsilon": "attrs.epsilon",
"hiddenVec": "dim(shapes.x, -1) / 4",
"vecType": "\"vec4<\" ~ dtypes.T ~ \">\"",
"combineSubgroups": "hasSubgroupId"
},
"bindings": ["x", "scale", "y", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 },
"subgroupCollectivesWidth": "portable"
}
]
},
{
"id": "last_axis_row",
"priority": 100,
"when": ["lastAxisOk", "sameDtype", "noStats", "ranks.scale >= 1", "numel(shapes.scale) == dim(shapes.x, -1)", "dim(shapes.scale, -1) == dim(shapes.x, -1)"],
"derive": { "scalar": "dtypes.T", "xElement": "dtypes.T", "ioElement": "dtypes.T" },
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.LastAxisRow",
"shader": "norm-row-stats.wgsl.jinja",
"derive": {
"modeSpec": "\"rms\"",
"vec4": false,
"writeStats": false,
"rmsScaleAfterCast": false,
"scalar": "dtypes.T",
"usesF16Spec": "dtypes.T == \"f16\"",
"hidden": "dim(shapes.x, -1)",
"wg": "min(normMaxWorkgroup, pow2ceil(max(1, dim(shapes.x, -1))))",
"epsilon": "attrs.epsilon",
"hiddenVec": 1,
"vecType": "\"vec4<\" ~ dtypes.T ~ \">\"",
"combineSubgroups": "hasSubgroupId"
},
"bindings": ["x", "scale", "y", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 },
"subgroupCollectivesWidth": "portable"
}
]
},
{
"id": "last_axis_row_vec4_stats",
"priority": 112,
"when": ["lastAxisOk", "sameDtype", "statsOk", "ranks.scale >= 1", "numel(shapes.scale) == dim(shapes.x, -1)", "dim(shapes.scale, -1) == dim(shapes.x, -1)", "dim(shapes.x, -1) % 4 == 0"],
"derive": {
"scalar": "dtypes.T",
"xElement": "\"vec4<\" ~ dtypes.T ~ \">\"",
"ioElement": "\"vec4<\" ~ dtypes.T ~ \">\""
},
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.LastAxisRow",
"shader": "norm-row-stats.wgsl.jinja",
"derive": {
"modeSpec": "\"rms\"",
"vec4": true,
"writeStats": true,
"rmsScaleAfterCast": false,
"scalar": "dtypes.T",
"usesF16Spec": "dtypes.T == \"f16\"",
"hidden": "dim(shapes.x, -1)",
"wg": "min(normMaxWorkgroup, pow2ceil(max(1, dim(shapes.x, -1) / 4)))",
"epsilon": "attrs.epsilon",
"hiddenVec": "dim(shapes.x, -1) / 4",
"vecType": "\"vec4<\" ~ dtypes.T ~ \">\"",
"combineSubgroups": "hasSubgroupId"
},
"bindings": ["x", "scale", "y", "inv_std_out", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 },
"subgroupCollectivesWidth": "portable"
}
]
},
{
"id": "last_axis_row_stats",
"priority": 102,
"when": ["lastAxisOk", "sameDtype", "statsOk", "ranks.scale >= 1", "numel(shapes.scale) == dim(shapes.x, -1)", "dim(shapes.scale, -1) == dim(shapes.x, -1)"],
"derive": { "scalar": "dtypes.T", "xElement": "dtypes.T", "ioElement": "dtypes.T" },
"passes": [
{
"id": "main",
"name": "SimplifiedLayerNormalization.LastAxisRow",
"shader": "norm-row-stats.wgsl.jinja",
"derive": {
"modeSpec": "\"rms\"",
"vec4": false,
"writeStats": true,
"rmsScaleAfterCast": false,
"scalar": "dtypes.T",
"usesF16Spec": "dtypes.T == \"f16\"",
"hidden": "dim(shapes.x, -1)",
"wg": "min(normMaxWorkgroup, pow2ceil(max(1, dim(shapes.x, -1))))",
"epsilon": "attrs.epsilon",
"hiddenVec": 1,
"vecType": "\"vec4<\" ~ dtypes.T ~ \">\"",
"combineSubgroups": "hasSubgroupId"
},
"bindings": ["x", "scale", "y", "inv_std_out", "params"],
"dispatch": { "x": "min(normRows, 65535)", "y": "ceilDiv(normRows, 65535)", "z": 1 },
"subgroupCollectivesWidth": "portable"
}
]
}
]
}