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Author SHA1 Message Date
geohot 260da2017c fix unit test dtypes 2025-08-13 12:15:12 -07:00
geohot 65dcd6dd45 render ranges in viz, name gbufs with sizes. changes from rangeify 2025-08-13 12:06:34 -07:00
e2873a3a41 [bounty] Muon optim (#11414)
* newton schulz

* add muon + move newton schulz to tensor

* compact newton schulz

* better tests

* cleanup

* add comments for muon

* cleanup

* add export with tests

* match muon optim with test optim

* cleanup

* unsed import

* correct comment

* whitespace

* move export

* muon test fix

* match reference impl + tests

* remove export by moving muon device

* add credit

* cleanup

* remove print

* spacing

* spacing

* comma

* cleanup

* removal

* fix tests + optim momentum

* consistent is not/ not

* more consistency

* fix test

* cleanup

* fix the nones

* remove comment

* cast

* comment

* comment

* muon teeny test

* muon flag beautiful mnist

* set steps

* steps as hyperparam

* match default test steps

* name

* large cleanup

* dont care about steps

* nesterov false default

* match each other impl

* steps

* switch nest

* swap defaults

* update docstring

* add no nesterov test

* ban fuse_optim

* prints

* classical momentum

* alternative condition

* recon

* pre + post wd

* false default

* detach

* signature changes

* context

* swap order

* big cleanup

* 0 step instead

* parity

* remove fuse

* remove fused

* better paper

* assert message

* correct shape check + eps

* multidim

* add eps

* cleanup

* correct assert message

* lint

* better tests

* naming

* ns_steps,ns_params

* update docstring

* docstring

* match sgd and muon together

* sandwich

* add back fused

* parity

---------

Co-authored-by: George Hotz <[email protected]>
2025-08-13 14:27:55 -04:00
chenyuandGitHub 94e6d84e32 rewrite Tensor.round to not use cast int (#11654) 2025-08-13 13:51:08 -04:00
George HotzandGitHub d2521d828a transcendental+idiv+threefry are uop decompositions (#11636)
* transcendental+idiv+threefry are uop decompositions [pr]

* threefry decomp

* fix randomness tests

* fix webgpu

* unneeded now

* fix

* move prematcher

* all cast should probably be cast_vec
2025-08-13 09:37:12 -07:00
20 changed files with 280 additions and 119 deletions
+1 -1
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@@ -21,7 +21,7 @@ if __name__ == "__main__":
X_train, Y_train, X_test, Y_test = mnist(fashion=getenv("FASHION"))
model = Model()
opt = nn.optim.Adam(nn.state.get_parameters(model))
opt = (nn.optim.Adam if not getenv("MUON") else nn.optim.Muon)(nn.state.get_parameters(model))
@TinyJit
@Tensor.train()
+75
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@@ -0,0 +1,75 @@
import torch
#credit to KellerJordan at https://github.com/KellerJordan/Muon/tree/master
#some changes: classic momentum instead of weighting gradient
#added ns_steps, ns_params, nesterov as hyperparams
def zeropower_via_newtonschulz5(G:torch.tensor, steps:int, params:tuple[int, ...]):
"""
Newton-Schulz iteration to compute the zeroth power / orthogonalization of G. We opt to use a
quintic iteration whose coefficients are selected to maximize the slope at zero. For the purpose
of minimizing steps, it turns out to be empirically effective to keep increasing the slope at
zero even beyond the point where the iteration no longer converges all the way to one everywhere
on the interval. This iteration therefore does not produce UV^T but rather something like US'V^T
where S' is diagonal with S_{ii}' ~ Uniform(0.5, 1.5), which turns out not to hurt model
performance at all relative to UV^T, where USV^T = G is the SVD.
"""
assert G.ndim >= 2 # batched Muon implementation by @scottjmaddox, and put into practice in the record by @YouJiacheng
a, b, c = params
X = G
if G.size(-2) > G.size(-1):
X = X.mT
# Ensure spectral norm is at most 1
X = X / (X.norm(dim=(-2, -1), keepdim=True) + 1e-7)
# Perform the NS iterations
for _ in range(steps):
A = X @ X.mT
B = b * A + c * A @ A # quintic computation strategy adapted from suggestion by @jxbz, @leloykun, and @YouJiacheng
X = a * X + B @ X
if G.size(-2) > G.size(-1):
X = X.mT
return X
def muon_update(grad, momentum, beta=0.95, ns_steps=5, ns_params=(3.4445, -4.7750, 2.0315), nesterov=True):
if beta:
momentum.mul_(beta).add_(grad)
update = grad.add(momentum,alpha=beta) if nesterov else momentum
else: update = grad
if update.ndim == 4: # for the case of conv filters
update = update.view(len(update), -1)
update = zeropower_via_newtonschulz5(update, steps=ns_steps, params=ns_params)
return update
class SingleDeviceMuon(torch.optim.Optimizer):
"""
Muon variant for usage in non-distributed settings.
"""
def __init__(self, params, lr=0.02, weight_decay=0.0, momentum=0.95, ns_steps=5, ns_params=(3.4445, -4.7750, 2.0315), nesterov=True):
defaults = dict(lr=lr, weight_decay=weight_decay, momentum=momentum, ns_steps=ns_steps, ns_params=ns_params, nesterov=nesterov)
super().__init__(params, defaults)
@torch.no_grad()
def step(self, closure=None):
loss = None
if closure is not None:
with torch.enable_grad():
loss = closure()
for group in self.param_groups:
for p in group["params"]:
if p.grad is None:
p.grad = torch.zeros_like(p) # Force synchronization
state = self.state[p]
if len(state) == 0:
state["momentum_buffer"] = torch.zeros_like(p)
update = muon_update(p.grad, state["momentum_buffer"], beta=group["momentum"], ns_steps=group["ns_steps"],
ns_params=group["ns_params"], nesterov=group["nesterov"])
p.mul_(1.0 - group["lr"] * group["weight_decay"])
p.add_(update.reshape(p.shape), alpha=-group["lr"])
return loss
+1 -1
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@@ -3,7 +3,7 @@ import z3
from tinygrad import dtypes
from tinygrad.uop.spec import z3_renderer, z3_cdiv
from tinygrad.uop.ops import UOp, graph_rewrite
from tinygrad.uop.transcendental import fast_idiv
from tinygrad.uop.decompositions import fast_idiv
random.seed(42)
powers_of_two = [2**i for i in range(64)]
+10
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@@ -62,5 +62,15 @@ class TestLinAlg(unittest.TestCase):
orthogonality_helper(Q)
reconstruction_helper([Q,R],a)
def test_newton_schulz(self):
coefficients = [(2, -1.5, 0.5), (2.0, -1.4, 0.2, 0.2)]#these params map to the sign function
sizes = [(2,2), (3,2), (2,3), (2,2,2)]
for coefs in coefficients:
for size in sizes:
a = Tensor.randn(size)
b = Tensor.newton_schulz(a, steps=20, params=coefs, eps=0.0)
# ns(A) = U @ Vt -> (U @ Vt) @ (U @ Vt)t = I
orthogonality_helper(b if size[-1] > size[-2] else b.transpose(-2, -1), tolerance=1e-1)
if __name__ == "__main__":
unittest.main()
+27 -1
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@@ -2,9 +2,10 @@ import numpy as np
import torch
import unittest
from tinygrad import Tensor, Device, dtypes
from tinygrad.nn.optim import Adam, SGD, AdamW
from tinygrad.nn.optim import Adam, SGD, AdamW, Muon
from tinygrad.helpers import CI
from tinygrad.device import is_dtype_supported
from extra.torch_muon import SingleDeviceMuon as TorchMuon
np.random.seed(1337)
x_init = np.random.randn(1,4).astype(np.float32)
@@ -57,9 +58,12 @@ class TestOptim(unittest.TestCase):
def _test_sgd(self, steps, opts, atol, rtol): self._test_optim(SGD, torch.optim.SGD, steps, opts, atol, rtol)
def _test_adam(self, steps, opts, atol, rtol): self._test_optim(Adam, torch.optim.Adam, steps, opts, atol, rtol)
def _test_adamw(self, steps, opts, atol, rtol): self._test_optim(AdamW, torch.optim.AdamW, steps, opts, atol, rtol)
#TODO: use torch.muon when it comes out
def _test_muon(self, steps, opts, atol, rtol): self._test_optim(Muon, TorchMuon, steps, opts, atol, rtol)
def test_multistep_sgd_high_lr_teeny(self): self._test_sgd(2, {'lr': 1.1, 'teeny': True}, 1e-6, 1e-5)
def test_multistep_adam_high_lr_teeny(self): self._test_adam(2, {'lr': 1.1, 'teeny': True}, 2e-4, 5e-4)
def test_multistep_muon_high_lr_teeny(self): self._test_muon(2, {'lr': 1.1, 'teeny': True}, 2e-4, 5e-4)
def test_sgd(self): self._test_sgd(1, {'lr': 0.001}, 1e-6, 0)
def test_sgd_high_lr(self): self._test_sgd(1, {'lr': 10}, 1e-6, 1e-5)
@@ -83,6 +87,28 @@ class TestOptim(unittest.TestCase):
def test_multistep_sgd_high_lr_nesterov_momentum_wd(self):
self._test_sgd(10, {'lr': 9, 'momentum': 0.9, 'nesterov': True, 'weight_decay': 0.1}, 1e-5, 3e-4)
def test_muon(self): self._test_muon(1, {'lr': 0.001}, 1e-6, 0)
def test_muon_high_lr(self): self._test_muon(1, {'lr': 10}, 1e-6, 3e-4)
def test_muon_wd(self): self._test_muon(1, {'lr': 0.001, 'weight_decay': 0.01}, 1e-6, 0)
def test_muon_high_lr_wd(self): self._test_muon(1, {'lr': 10, 'weight_decay': 0.01}, 1e-6, 3e-4)
# NOTE: momentum set to 0.95 by default, nesterov set to True by default
def test_multistep_muon_momentum_wd(self): self._test_muon(10, {'lr': 0.001, 'weight_decay': 0.01}, 1e-5, 0)
# ns defaults are numerically unstable, but it is tolerable in real training (see nsteps/nparam tests)
def test_multistep_muon_high_lr_momentum_wd(self): self._test_muon(10, {'lr': 10, 'weight_decay': 0.01}, 1e-1, 3e-4)
def test_multistep_muon_no_nesterov_momentum(self): self._test_muon(10, {'lr': 0.001, 'nesterov': False}, 1e-5, 0)
def test_multistep_muon_high_lr_no_nesterov_momentum(self): self._test_muon(10, {'lr': 10, 'nesterov': False}, 0.5e-1, 1e-1)
def test_muon_ns_steps(self): self._test_muon(1, {'lr': 0.001, 'ns_steps': 3}, 1e-6, 0)
def test_muon_high_lr_ns_steps(self): self._test_muon(1, {'lr': 10, 'ns_steps': 3}, 1e-5, 3e-4)
def test_muon_ns_params(self): self._test_muon(1, {'lr': 0.001,'ns_params': (2.0,-1.5,0.5)}, 1e-6, 0)
def test_muon_high_lr_ns_params(self): self._test_muon(1, {'lr': 10,'ns_params': (2.0,-1.5,0.5)}, 1e-5, 3e-4)
def test_muon_momentum_wd_ns_steps_ns_params(self):
self._test_muon(10, {'lr': 0.001, 'momentum': 0.90, 'weight_decay': 0.01, 'ns_steps': 3, 'ns_params': (2.0,-1.5,0.5)}, 1e-5, 0)
def test_multistep_muon_high_lr_momentum_wd_ns_steps_ns_params(self):
self._test_muon(10, {'lr': 10, 'momentum': 0.90, 'weight_decay': 0.01, 'ns_steps': 3, 'ns_params': (2.0,-1.5,0.5)}, 1e-5, 3e-4)
def test_adam(self): self._test_adam(1, {'lr': 0.001}, 1e-5, 0)
def test_adam_high_lr(self): self._test_adam(1, {'lr': 10}, 1e-4, 1e-4)
def test_adamw(self): self._test_adamw(1, {'lr': 0.001}, 1e-5, 0)
+4 -4
View File
@@ -303,8 +303,8 @@ class TestRecurse(unittest.TestCase):
def test_inf_loop(self):
a = UOp.variable('a', 0, 10)
pm = PatternMatcher([
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.DEFINE_REG)),
(UPat(Ops.DEFINE_REG, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.CONST)),
(UPat(Ops.CONST, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
])
with self.assertRaises(RuntimeError):
graph_rewrite(a, pm)
@@ -312,8 +312,8 @@ class TestRecurse(unittest.TestCase):
def test_inf_loop_bottom_up(self):
a = UOp.variable('a', 0, 10)
pm = PatternMatcher([
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.DEFINE_REG)),
(UPat(Ops.DEFINE_REG, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.CONST)),
(UPat(Ops.CONST, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
])
with self.assertRaises(RuntimeError):
graph_rewrite(a, pm, bottom_up=True)
+2 -2
View File
@@ -2,8 +2,8 @@ import unittest, math
import numpy as np
from tinygrad import dtypes
from tinygrad.uop.ops import UOp, Ops
from tinygrad.uop.transcendental import TRANSCENDENTAL_SUPPORTED_DTYPES, payne_hanek_reduction, cody_waite_reduction
from tinygrad.uop.transcendental import frexp, rintk, xpow, xexp2, xlog2, trig_poly, pow2if
from tinygrad.uop.decompositions import TRANSCENDENTAL_SUPPORTED_DTYPES, payne_hanek_reduction, cody_waite_reduction
from tinygrad.uop.decompositions import frexp, rintk, xpow, xexp2, xlog2, trig_poly, pow2if
from test.helpers import eval_uop
class TestTranscendentalFunctions(unittest.TestCase):
+3 -3
View File
@@ -124,10 +124,10 @@ class TestViz(BaseTestViz):
def test_inf_loop(self):
a = UOp.variable('a', 0, 10)
b = a.replace(op=Ops.DEFINE_REG)
b = a.replace(op=Ops.CONST)
pm = PatternMatcher([
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.DEFINE_REG)),
(UPat(Ops.DEFINE_REG, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
(UPat(Ops.DEFINE_VAR, name="x"), lambda x: x.replace(op=Ops.CONST)),
(UPat(Ops.CONST, name="x"), lambda x: x.replace(op=Ops.DEFINE_VAR)),
])
with self.assertRaises(RuntimeError): exec_rewrite(a, [pm])
graphs = flatten(x["graph"].values() for x in get_details(tracked_ctxs[0][0]))
+4 -4
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@@ -11,7 +11,7 @@ from tinygrad.codegen.lowerer import pm_lowerer, get_index
from tinygrad.codegen.quantize import pm_quant
from tinygrad.codegen.gpudims import pm_add_gpudims
from tinygrad.uop.symbolic import sym, symbolic_simple, gep_pushing
from tinygrad.uop.optional import get_late_rewrite_patterns
from tinygrad.uop.decompositions import get_late_rewrite_patterns
from tinygrad.codegen.expander import migrate_indexing, expander
from tinygrad.codegen.devectorizer import load_store_folding, load_store_indexing, devectorize, pm_reduce, \
ReduceContext, correct_load_store, pm_render
@@ -82,13 +82,13 @@ def _get_rewrites_for_renderer(opts:Renderer, linearizer:bool, _QUANTIZE, _DEVEC
supported_ops = tuple(opts.code_for_op.keys())
extra_matcher = opts.extra_matcher if opts.extra_matcher is not None else PatternMatcher([])
# optional pre matcher
if opts.pre_matcher is not None: ret.append(RewriteStep(opts.pre_matcher, name="pre_matcher"))
# decompositions
pm_decomp = symbolic_simple+get_late_rewrite_patterns(supported_ops, _TRANSCENDENTAL>=2)
ret.append(RewriteStep(pm_decomp, name="decompositions"))
# optional pre matcher
if opts.pre_matcher is not None: ret.append(RewriteStep(opts.pre_matcher, name="pre_matcher"))
# final rules for the renderer (without sym)
pm_final_rewrite = pm_decomp+pm_render+extra_matcher
ret.append(RewriteStep(pm_final_rewrite, lambda _: opts.device, name="final rewrite"))
+1 -1
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@@ -285,7 +285,7 @@ def reduce_to_acc(ctx:ReduceContext, red:UOp):
topo = inp.toposort()
stored_ranges = flatten([x.src[2:] for x in topo if x.op is Ops.STORE])
input_ranges = tuple([x for x in topo if x.op is Ops.RANGE and x not in reduce_range and x not in stored_ranges])
identity = red.const_like(identity_element(red.arg, red.dtype.scalar()))
identity = red.const(red.dtype, identity_element(red.arg, red.dtype.scalar()))
acc = UOp(Ops.DEFINE_REG, red.dtype.ptr(size=1, addrspace=AddrSpace.REG), arg=(ctx.acc_num,)).index(UOp.const(dtypes.int, 0))
do_store = acc.store(identity, UOp(Ops.NOOP, src=input_ranges)) if len(input_ranges) else acc.store(identity)
lst = [acc.load(do_store, *reduce_range)] + lst # put acc as the first element
+21 -4
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@@ -77,7 +77,19 @@ def SGD(params: list[Tensor], lr=0.001, momentum=0.0, weight_decay=0.0, nesterov
`classic` is a boolean flag that determines whether to use the popular momentum update rule or the classic momentum update rule.
"""
return LARS(params, lr, momentum, weight_decay, nesterov, classic, tcoef=0.0, fused=fused)
return LARS(params, lr, momentum, weight_decay, 0, None, nesterov, classic=classic, pre_wd=True, tcoef=0.0, fused=fused)
# Muon applies the newton schulz algorithm on gradient. also can include momentum, nesterov, and weight decay
def Muon(params: list[Tensor], lr=0.02, momentum=0.95, weight_decay=0.0, ns_steps=5, ns_params=(3.4445, -4.775, 2.0315),
nesterov=True, fused=FUSE_OPTIM):
"""
SGD with newton-schulz iteration and post momentum weight decay.
- Described: https://kellerjordan.github.io/posts/muon/
- Paper: https://arxiv.org/pdf/2502.16982
"""
assert not fused, "FUSE_OPTIM not allowed for Muon optimizer"
return LARS(params, lr, momentum, weight_decay, ns_steps, ns_params, nesterov, classic=False, pre_wd=False, tcoef=0.0, fused=fused)
class LARS(Optimizer):
"""
@@ -85,9 +97,11 @@ class LARS(Optimizer):
- Paper: https://arxiv.org/abs/1708.03888v3
"""
def __init__(self, params:list[Tensor], lr=0.001, momentum=0.9, weight_decay=1e-4, nesterov=False, classic=True, tcoef=0.001, fused=FUSE_OPTIM):
def __init__(self, params:list[Tensor], lr=0.001, momentum=0.9, weight_decay=1e-4, ns_steps=0, ns_params=None,
nesterov=False, classic=True, pre_wd=True, tcoef=0.001, fused=FUSE_OPTIM):
super().__init__(params, lr, fused)
self.momentum, self.wd, self.nesterov, self.classic, self.tcoef = momentum, weight_decay, nesterov, classic, tcoef
self.momentum, self.wd, self.ns_steps, self.ns_params = momentum, weight_decay, ns_steps, ns_params
self.nesterov, self.classic, self.pre_wd, self.tcoef = nesterov, classic, pre_wd, tcoef
self.b = self._new_optim_param() if self.momentum else []
def _step(self, params:list[Tensor], grads:list[Tensor]) -> tuple[list[Tensor], list[Tensor]]:
@@ -98,7 +112,7 @@ class LARS(Optimizer):
r2 = g.square().sum().sqrt()
r:Tensor|float = (r1 > 0).where((r2 > 0).where(self.tcoef * r1 / (r2 + self.wd * r1), 1.0), 1.0)
else: r = 1.0
if self.wd > 0: g = g + self.wd * t.detach()
if self.pre_wd and self.wd > 0: g = g + self.wd * t.detach()
# classic momentum does post learning rate update
if self.classic: g = g * r * self.lr
if self.momentum:
@@ -106,6 +120,9 @@ class LARS(Optimizer):
# the scheduler should detect this and just insert contiguous
self.b[i].assign(self.momentum * self.b[i].contiguous() + g) # NOTE: self.b[i] is zero on the first run, no if required
g = (g + self.momentum * self.b[i]) if self.nesterov else self.b[i]
if self.ns_params: g = g.reshape(g.shape[0], -1).newton_schulz(self.ns_steps, self.ns_params).reshape(g.shape)
# muon does post momentum weight decay
if not self.pre_wd and self.wd > 0: t = t.detach() * (1.0 - self.wd * self.lr)
# popular momentum does pre learning rate update
if not self.classic: g = g * r * self.lr
ret.append((t.detach() - g).cast(t.dtype))
+1 -1
View File
@@ -146,7 +146,7 @@ class CStyleLanguage(Renderer):
if u.arg is not None: name = u.arg.function_name
continue
if u.op in (Ops.DEFINE_GLOBAL, Ops.DEFINE_VAR):
r[u] = f"data{u.arg}" if u.op is Ops.DEFINE_GLOBAL else u.arg[0]
r[u] = (f"data{u.arg}_{sz}" if (sz:=cast(PtrDType, u.dtype).size) > 0 else f"data{u.arg}") if u.op is Ops.DEFINE_GLOBAL else u.arg[0]
bufs[u] = (r[u], (u.dtype, False))
continue
+18 -3
View File
@@ -2933,11 +2933,11 @@ class Tensor(MathTrait):
"""
return self*-1 if self.dtype != dtypes.bool else self.logical_not()
def contiguous(self) -> Tensor:
def contiguous(self, **kwargs) -> Tensor:
"""
Returns a contiguous tensor.
"""
return self._apply_uop(UOp.contiguous)
return self._apply_uop(UOp.contiguous, **kwargs)
def fuse(self) -> Tensor:
"""
@@ -3173,7 +3173,7 @@ class Tensor(MathTrait):
print(Tensor([-3.5, -2.5, -1.5, -0.5, 0.5, 1.5, 2.5, 3.5]).round().numpy())
```
"""
return ((self > 0) == ((b := self.cast(dtypes.int32) / 2.0).cast(dtypes.int32) == b)).where((self - 0.5).ceil(), (self + 0.5).floor())
return ((self > 0) == ((b := self.trunc() / 2.0).trunc() == b)).where((self - 0.5).ceil(), (self + 0.5).floor())
def isinf(self:Tensor, detect_positive:bool=True, detect_negative:bool=True) -> Tensor:
"""
@@ -4033,6 +4033,21 @@ class Tensor(MathTrait):
nll = -self.gather(1, Y.unsqueeze(1)).squeeze(1) * masked_weight
return nll.sum() / masked_weight.sum() if reduction == "mean" else nll._do_reduction(reduction)
def newton_schulz(self, steps:int, params:tuple[int, ...], eps:float=1.0e-7) -> Tensor:
"""
Performs the newton-schulz algorithm for odd polynomials. The degree of the odd polynomial depends on the number of params.
```python exec="true" source="above" session="tensor" result="python"
t = Tensor.randn(4, 4)
print(t.newton_schulz(steps=5, params=(2,-1.5,0.5)).numpy())
```
"""
assert self.ndim > 1, "NS only works for two or more dims"
G = self / (self.square().sum(axis=(-2, -1), keepdim=True).sqrt() + eps)
G = G.transpose(-2, -1) if self.shape[-2] > self.shape[-1] else G
for _ in range(steps): G = sum(p * functools.reduce(lambda x, y: (y @ y.transpose(-2, -1)) @ x, [G]*i, G) for i,p in enumerate(params))
return G.transpose(-2, -1) if self.shape[-2] > self.shape[-1] else G
def qr(self) -> tuple[Tensor, Tensor]:
assert self.ndim > 1, f"expected two or more dimensions, got {self.ndim}"
R = self.clone()
+3
View File
@@ -86,6 +86,9 @@ class GroupOp:
Ternary = {Ops.WHERE, Ops.MULACC}
ALU = set.union(Unary, Binary, Ternary)
# TODO: is BITCAST always Elementwise if it's shape changing?
Elementwise = set.union(ALU, {Ops.CAST, Ops.BITCAST})
Defines = {Ops.DEFINE_GLOBAL, Ops.DEFINE_LOCAL, Ops.DEFINE_REG}
Irreducible = {Ops.CONST, Ops.DEFINE_VAR, Ops.SPECIAL, Ops.RANGE}
@@ -1,8 +1,9 @@
from typing import Callable
import math, functools
from tinygrad.dtype import dtypes, DType, promo_lattice
from tinygrad.device import is_dtype_supported
from tinygrad.helpers import polyN
from tinygrad.uop.ops import UOp
from tinygrad.helpers import polyN, getenv
from tinygrad.uop.ops import UOp, UPat, Ops, PatternMatcher
TRANSCENDENTAL_SUPPORTED_DTYPES = (dtypes.float16, dtypes.float32, dtypes.float64)
@@ -79,10 +80,10 @@ def payne_hanek_reduction(d:UOp) -> tuple[UOp, UOp]:
intermediate_dtype = dtypes.float32.vec(d.dtype.count) if d.dtype.base.scalar() == dtypes.float16 else d.dtype
f, e = frexp(d)
ia = (f.cast(intermediate_dtype) * 4.294967296e9).cast(dtypes.uint64)
ia = (f.cast(intermediate_dtype) * 4.294967296e9).cast_vec(dtypes.uint64)
# extract 96 relevant bits of 2/pi based on magnitude of argument
i = shr(e.cast(dtypes.uint64), 5)
e = e.cast(dtypes.int32) & 31
i = shr(e.cast_vec(dtypes.uint64), 5)
e = e.cast_vec(dtypes.int32) & 31
offset = 32 - e
def _take(an:UOp, offset:int, count:int=0) -> UOp:
@@ -90,8 +91,8 @@ def payne_hanek_reduction(d:UOp) -> tuple[UOp, UOp]:
if count+offset < len(two_over_pi_f) - 1:
an = i.ne(count).where(_take(an, offset, count=count+1), an.const_like(two_over_pi_f[count+offset]))
return an
def _shl_lazy(x:UOp, y:UOp): return (x.cast(dtypes.uint64) * pow2if(y, d.dtype).cast(dtypes.uint64)).cast(dtypes.uint32)
def _shr_lazy(x:UOp, y:UOp): return (x.cast(dtypes.uint64) // pow2if(y, d.dtype).cast(dtypes.uint64)).cast(dtypes.uint32)
def _shl_lazy(x, y): return (x.cast_vec(dtypes.uint64) * pow2if(y, d.dtype).cast_vec(dtypes.uint64)).cast_vec(dtypes.uint32)
def _shr_lazy(x, y): return (x.cast_vec(dtypes.uint64) // pow2if(y, d.dtype).cast_vec(dtypes.uint64)).cast_vec(dtypes.uint32)
a = [_take(UOp.const(dtypes.uint32.vec(d.dtype.count), 0), i) for i in range(4)]
# (two_over_pi_f[Int(i) + n] << e) | (two_over_pi_f[Int(i) + n+1] >> (nbits - e))
@@ -100,12 +101,12 @@ def payne_hanek_reduction(d:UOp) -> tuple[UOp, UOp]:
mi = _shl_lazy(a[1], e) | _shr_lazy(a[2], offset)
lo = _shl_lazy(a[2], e) | _shr_lazy(a[3], offset)
def _hp_mul(x:UOp, y:UOp) -> UOp: return x.cast(dtypes.uint64) * y.cast(dtypes.uint64)
def _hp_mul(x:UOp, y:UOp) -> UOp: return x.cast_vec(dtypes.uint64) * y.cast_vec(dtypes.uint64)
# compute x * 2/pi
p = shl(_hp_mul(ia, hi), 32) + _hp_mul(ia, mi) + shr(_hp_mul(ia, lo), 32)
# round quotient to nearest
q = shr(p, 62).cast(dtypes.int32)
q = shr(p, 62).cast_vec(dtypes.int32)
p = p & 0x3fffffffffffffff
r = (p.cast(intermediate_dtype) * (3.4061215800865545e-19)).cast(d.dtype)
@@ -132,7 +133,7 @@ def cody_waite_reduction(d:UOp) -> tuple[UOp, UOp]:
d = (qdh + q) * -PI_D + d
elif x.dtype.scalar() == dtypes.float16:
# [FIXME] when reducing `d`, FP16 needs FP32 precision to achieve 1.0 ULP precision.
d = _reduce_d(x.cast(dtypes.float32), q.cast(dtypes.float32)).cast(dtypes.float16)
d = _reduce_d(x.cast_vec(dtypes.float32), q.cast_vec(dtypes.float32)).cast_vec(dtypes.float16)
else:
# https://github.com/shibatch/sleef/blob/4e08851f59fc2b545f9c393c6a23dfd311a26308/src/libm/sleefsp.c#L464-L503
d = q * -3.1414794921875 + x
@@ -142,9 +143,9 @@ def cody_waite_reduction(d:UOp) -> tuple[UOp, UOp]:
return d
m_1_pi = 0.318309886183790671537767526745028724
qdh = (d * (m_1_pi / 2.0**24)).cast(dtypes.int64).cast(d.dtype) * (2.0**24)
qdh = (d * (m_1_pi / 2.0**24)).cast_vec(dtypes.int64).cast(d.dtype) * (2.0**24)
quadrant = rintk(d * m_1_pi -qdh) if d.dtype.base.scalar() == dtypes.float64 else rintk(d * m_1_pi)
return _reduce_d(d, quadrant.cast(d.dtype)), quadrant.cast(dtypes.int32)
return _reduce_d(d, quadrant.cast(d.dtype)), quadrant.cast_vec(dtypes.int32)
# *** approximate sine on small angle. ***
def trig_poly(d:UOp, coeff32, coeff64): return d * (polyN(d*d, coeff64) if d.dtype.scalar() == dtypes.float64 else polyN(d*d, coeff32))
@@ -223,7 +224,7 @@ def xlog2(d:UOp) -> UOp:
"""
assert d.dtype.scalar() in TRANSCENDENTAL_SUPPORTED_DTYPES
# TODO: float16 denormal need float32 to achieve precision
if d.dtype.scalar() == dtypes.float16: return xlog2(d.cast(dtypes.float32)).cast(dtypes.float16)
if d.dtype.scalar() == dtypes.float16: return xlog2(d.cast_vec(dtypes.float32)).cast_vec(dtypes.float16)
FLT_MIN = d.const_like(1e-6 if d.dtype.scalar() == dtypes.float16 else 1e-4)
is_denormal = d<FLT_MIN
a = is_denormal.where(d * (2 ** 64), d)
@@ -260,9 +261,9 @@ def xpow(base:UOp, exponent:UOp) -> UOp:
# start with b ** e = exp2(e * log2(b))
ret = (base < 0).where(-base, base).log2().mul(exponent).exp2()
# negative base adjustment: nan for non-integer exponent and -1 for odd exponent
non_int = exponent != exponent.cast(dtypes.int32).cast(exponent.dtype)
non_int = exponent != exponent.cast_vec(dtypes.int32).cast(exponent.dtype)
adj = non_int.where(ret.const_like(math.nan),
(exponent < 0).where(-exponent, exponent).cast(dtypes.int32).mod(2).cast(dtypes.bool).where(ret.const_like(-1), ret.const_like(1)))
(exponent < 0).where(-exponent, exponent).cast_vec(dtypes.int32).mod(2).cast_vec(dtypes.bool).where(ret.const_like(-1), ret.const_like(1)))
# fix 0 ** 0 = 1
return (base.eq(0) & exponent.eq(0)).where(ret.const_like(1), ret * (base < 0).where(adj, ret.const_like(1)))
@@ -292,3 +293,59 @@ def fast_idiv(device: str, x: UOp, d: int) -> UOp|None:
if m*vmin >= dtypes.min(next_dtype) and m*vmax <= dtypes.max(next_dtype):
return ((x.cast(next_dtype)*m) >> s).cast(x.dtype) if is_unsigned else ((x.cast(next_dtype)*m) >> s).cast(x.dtype) + (x<0).where(x.ufix(1), 0)
return None
# ***** threefry *****
def threefry2x32(x: UOp, key: UOp):
# split x and key from uint64 to two uint32
x0, x1 = (x & 0xffffffff).cast_vec(dtypes.uint32), ((x // 2**32) & 0xffffffff).cast_vec(dtypes.uint32)
key0, key1 = (key & 0xffffffff).cast_vec(dtypes.uint32), ((key // 2**32) & 0xffffffff).cast_vec(dtypes.uint32)
rotations = [[13, 15, 26, 6], [17, 29, 16, 24]]
ks = [key1, key0 ^ key1 ^ 0x1BD11BDA, key0]
xr:list[UOp] = [x0 + ks[-1], x1 + ks[0]]
for i in range(5):
for r in rotations[i % 2]: xr[0], xr[1] = (x0 := xr[0] + xr[1]), x0 ^ ((xr[1] * 2**r) + (xr[1] // 2**(32 - r)))
xr = [(xr[0] + ks[i % 3]), (xr[1] + ks[(i + 1) % 3] + i + 1)]
return xr[1].cast_vec(dtypes.uint64) * 2**32 | xr[0].cast_vec(dtypes.uint64)
# ***** decomposition patterns *****
powers_of_two = {2**i:i for i in range(64)}
@functools.cache
def get_late_rewrite_patterns(ops:tuple[Ops, ...], force_transcendental=False):
pat: list[tuple[UPat, Callable]] = [(UPat(op, dtype=TRANSCENDENTAL_SUPPORTED_DTYPES, src=(UPat.var("d"),)), f) for op,f in \
((Ops.EXP2, xexp2), (Ops.LOG2, xlog2), (Ops.SIN, xsin)) if op not in ops or force_transcendental]
# no real hardware supports THREEFRY
pat.append((UPat(Ops.THREEFRY, dtype=dtypes.uint64, src=(UPat.var("x"), UPat.var("key"))), threefry2x32))
# rewrite SQRT to xpow 0.5
if Ops.SQRT not in ops: pat.append((UPat(Ops.SQRT, src=UPat.var("d")), lambda d: xpow(d, d.const_like(0.5))))
# rewrite MOD to AND (which should always be supported, but not for generic in tests): x % (2**y) -> x & (2**y-1)
if Ops.AND in ops: pat += [(UPat.var("x", dtypes.ints)%UPat.cvar("c"), lambda x,c: x & (c.arg-1) if c.arg in powers_of_two else None)]
# rewrite MUL/IDIV to SHL+SHR: x*(2**y) -> shl(x,y) and x//(2**y) -> shr(x,y)
if Ops.SHL in ops: pat += [(UPat.var("x", dtypes.ints)*UPat.cvar("c"), lambda c,x: x << v if (v:=powers_of_two.get(c.arg, 0)) else None)]
if Ops.SHR in ops:
# no reason to check x<0 for uints
pat += [(UPat.var("x", dtypes.uints)//UPat.cvar("c"), lambda x,c: x >> v if (v:=powers_of_two.get(c.arg, 0)) else None)]
pat += [(UPat.var("x", dtypes.ints)//UPat.cvar("c"), lambda x,c: (x+(l.const_like(l.vmin) if (l:=(x<0)).vmin==l.vmax else l).where(
c-1, 0)) >> v if (v:=powers_of_two.get(c.arg, 0)) else None)] # (x+(x<0).where(c-1, 0)) >> v
if not getenv("DISABLE_FAST_IDIV"):
pat += [(UPat.var("x", dtypes.ints)//UPat.cvar("d"), lambda ctx, x, d: fast_idiv(ctx, x, d.arg))]
pat += [(UPat.var("x", dtypes.ints)%UPat.cvar("d"), lambda ctx, x, d: x - d*f if (f:=fast_idiv(ctx, x, d.arg)) is not None else None)]
if Ops.NEG in ops:
pat += [(UPat.var('x')*-1, lambda x: x.alu(Ops.NEG))]
if Ops.SUB in ops: pat += [(UPat.var('x')+UPat.var('y').alu(Ops.NEG), lambda x,y: x.alu(Ops.SUB, y))]
if Ops.CMPLT in ops:
# These are late rewrites because simplex expects equalities to be a certain format
pat += [
((UPat.var("x", dtypes.sints) < UPat.cvar("c", dtypes.sints)).logical_not(), lambda x,c: c-1<x),
((UPat.cvar("c", dtypes.sints) < UPat.var("x", dtypes.sints)).logical_not(), lambda x,c: x<c+1),
(UPat.var("x", dtypes.sints)*-1 < UPat.var("y", dtypes.sints)*UPat.cvar("c"), lambda x,y,c: y*(-c)<x),
(UPat.var("x", dtypes.sints)*-1 < UPat.cvar("c"), lambda x,c:-c<x),
((UPat.cvar("c1",vec=False)<UPat.var("x", dtypes.sints)) & (UPat.var("x", dtypes.sints)<UPat.cvar("c2",vec=False)),
lambda x,c1,c2: x.eq(c1+1) if c1.arg+1==c2.arg-1 else None), # (c-1)<x & x<(c+1) -> x==c
]
if Ops.CMPEQ in ops: pat += [(UPat.var('x').ne(UPat.var('y')).logical_not(), lambda x,y: x.alu(Ops.CMPEQ, y))]
if Ops.MULACC in ops: pat += [(UPat.var('a')*UPat.var('b')+UPat.var('c'), lambda a,b,c: a.alu(Ops.MULACC, b, c))]
return PatternMatcher(pat)
+16 -3
View File
@@ -182,6 +182,19 @@ class UOp(MathTrait, metaclass=UOpMetaClass):
@property
def size(self) -> int: return self.arg[0] if self.op is Ops.BUFFER_VIEW else self.arg if self.op is Ops.BUFFER else unwrap(self.st).size
# determine what ranges this is in
@functools.cached_property
def ranges(self) -> dict[UOp, None]:
if self.op is Ops.RANGE: return {self:None}
if self.op in {Ops.CONTIGUOUS, Ops.REDUCE, Ops.STORE}:
ret = self.src[0].ranges.copy()
for s in self.src[1:]:
if s in ret: del ret[s]
else:
ret = {}
for s in self.src: ret.update(s.ranges)
return ret
# *** uop evaluation ***
def simplify(self):
@@ -219,7 +232,7 @@ class UOp(MathTrait, metaclass=UOpMetaClass):
return ret
def sink(self, *srcs:UOp|None, **kwargs): return UOp(Ops.SINK, dtypes.void, (self,)+tuple([x for x in srcs if x is not None]), **kwargs)
def detach(self): return UOp(Ops.DETACH, self.dtype, (self,))
def index(self, idx:UOp, valid:UOp|None=None): return UOp(Ops.INDEX, self.dtype, (self,idx,valid) if valid is not None else (self,idx))
def index(self, *srcs:UOp|None): return UOp(Ops.INDEX, self.dtype, (self,)+tuple([x for x in srcs if x is not None]))
def __getitem__(self, idx): return self.index(idx)
def const_like(self, b:ConstLike):
# constants can optionally have a DEVICE source
@@ -229,9 +242,9 @@ class UOp(MathTrait, metaclass=UOpMetaClass):
if count == 1: return self
return UOp(Ops.VECTORIZE, self.dtype.vec(count), (self,)*count)
def cast(self, dtype:DType):
if dtype.count != self.dtype.count: dtype = dtype.vec(self.dtype.count)
if self.dtype == dtype: return self
return UOp(Ops.CAST, dtype, (self,))
def cast_vec(self, dtype:DType): return UOp(Ops.CAST, dtype.vec(self.dtype.count), (self,))
def bitcast(self, dtype:DType): return UOp(Ops.BITCAST, dtype, (self,))
def gep(self, i:tuple[int, ...]|int):
if isinstance(i, tuple) and len(i) == 1: return self.gep(i[0])
@@ -275,7 +288,7 @@ class UOp(MathTrait, metaclass=UOpMetaClass):
ret = UOp(Ops.REDUCE_AXIS, self.dtype, (ret,), (op, new_axis))
return ret.reshape(tuple([x if i not in axis else 1 for i,x in enumerate(self.shape)]))
def reduce(self, *src:UOp, **kwargs): return UOp(Ops.REDUCE, kwargs.pop('dtype', self.dtype), src=(self,)+src, **kwargs)
def contiguous(self): return self.alu(Ops.CONTIGUOUS)
def contiguous(self, *args, **kwargs): return UOp(Ops.CONTIGUOUS, dtype=self.dtype, src=(self,)+args, **kwargs)
def contiguous_backward(self): return self.alu(Ops.CONTIGUOUS_BACKWARD)
def fuse(self): return self.alu(Ops.FUSE)
def allreduce(self, op, device:str|tuple[str, ...]|UOp):
-44
View File
@@ -1,44 +0,0 @@
from typing import Callable
import functools
from tinygrad.dtype import dtypes
from tinygrad.uop.ops import Ops, UPat, PatternMatcher
from tinygrad.helpers import getenv
from tinygrad.uop.transcendental import xexp2, xlog2, xsin, xpow, TRANSCENDENTAL_SUPPORTED_DTYPES, fast_idiv
# ***** optional patterns *****
powers_of_two = {2**i:i for i in range(64)}
@functools.cache
def get_late_rewrite_patterns(ops, force_transcendental=False):
pat: list[tuple[UPat, Callable]] = [(UPat(op, dtype=TRANSCENDENTAL_SUPPORTED_DTYPES, src=(UPat.var("d"),)), f) for op,f in \
((Ops.EXP2, xexp2), (Ops.LOG2, xlog2), (Ops.SIN, xsin)) if op not in ops or force_transcendental]
# rewrite SQRT to xpow 0.5
if Ops.SQRT not in ops: pat.append((UPat(Ops.SQRT, src=UPat.var("d")), lambda d: xpow(d, d.const_like(0.5))))
# rewrite MOD to AND (which should always be supported, but not for generic in tests): x % (2**y) -> x & (2**y-1)
if Ops.AND in ops: pat += [(UPat.var("x", dtypes.ints)%UPat.cvar("c"), lambda x,c: x & (c.arg-1) if c.arg in powers_of_two else None)]
# rewrite MUL/IDIV to SHL+SHR: x*(2**y) -> shl(x,y) and x//(2**y) -> shr(x,y)
if Ops.SHL in ops: pat += [(UPat.var("x", dtypes.ints)*UPat.cvar("c"), lambda c,x: x << v if (v:=powers_of_two.get(c.arg, 0)) else None)]
if Ops.SHR in ops:
# no reason to check x<0 for uints
pat += [(UPat.var("x", dtypes.uints)//UPat.cvar("c"), lambda x,c: x >> v if (v:=powers_of_two.get(c.arg, 0)) else None)]
pat += [(UPat.var("x", dtypes.ints)//UPat.cvar("c"), lambda x,c: (x+(l.const_like(l.vmin) if (l:=(x<0)).vmin==l.vmax else l).where(
c-1, 0)) >> v if (v:=powers_of_two.get(c.arg, 0)) else None)] # (x+(x<0).where(c-1, 0)) >> v
if not getenv("DISABLE_FAST_IDIV"):
pat += [(UPat.var("x", dtypes.ints)//UPat.cvar("d"), lambda ctx, x, d: fast_idiv(ctx, x, d.arg))]
pat += [(UPat.var("x", dtypes.ints)%UPat.cvar("d"), lambda ctx, x, d: x - d*f if (f:=fast_idiv(ctx, x, d.arg)) is not None else None)]
if Ops.NEG in ops:
pat += [(UPat.var('x')*-1, lambda x: x.alu(Ops.NEG))]
if Ops.SUB in ops: pat += [(UPat.var('x')+UPat.var('y').alu(Ops.NEG), lambda x,y: x.alu(Ops.SUB, y))]
if Ops.CMPLT in ops:
# These are late rewrites because simplex expects equalities to be a certain format
pat += [
((UPat.var("x", dtypes.sints) < UPat.cvar("c", dtypes.sints)).logical_not(), lambda x,c: c-1<x),
((UPat.cvar("c", dtypes.sints) < UPat.var("x", dtypes.sints)).logical_not(), lambda x,c: x<c+1),
(UPat.var("x", dtypes.sints)*-1 < UPat.var("y", dtypes.sints)*UPat.cvar("c"), lambda x,y,c: y*(-c)<x),
(UPat.var("x", dtypes.sints)*-1 < UPat.cvar("c"), lambda x,c:-c<x),
((UPat.cvar("c1",vec=False)<UPat.var("x", dtypes.sints)) & (UPat.var("x", dtypes.sints)<UPat.cvar("c2",vec=False)),
lambda x,c1,c2: x.eq(c1+1) if c1.arg+1==c2.arg-1 else None), # (c-1)<x & x<(c+1) -> x==c
]
if Ops.CMPEQ in ops: pat += [(UPat.var('x').ne(UPat.var('y')).logical_not(), lambda x,y: x.alu(Ops.CMPEQ, y))]
if Ops.MULACC in ops: pat += [(UPat.var('a')*UPat.var('b')+UPat.var('c'), lambda a,b,c: a.alu(Ops.MULACC, b, c))]
return PatternMatcher(pat)
+1 -1
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@@ -225,4 +225,4 @@ def type_verify(uops:list[UOp], extra_spec:PatternMatcher|None=None):
with Context(TRACK_MATCH_STATS=0): ret = check_spec.rewrite(u)
if cast(bool|None, ret) is not True:
if DEBUG >= 3: print_uops(uops)
raise RuntimeError(f"UOp verification failed at {i} on {u.op} {u.dtype} {len(u.src)} {[x.op for x in u.src]} {u.arg}")
raise RuntimeError(f"UOp verification failed at {i} on {u.op} {u.dtype} {len(u.src)} {[(x.op, x.dtype, x.arg) for x in u.src]} {u.arg}")
+14 -27
View File
@@ -5,7 +5,7 @@ from collections import defaultdict
from tinygrad.uop.ops import Ops, PatternMatcher, UPat, UOp, GroupOp, exec_alu
from tinygrad.dtype import ConstType, dtypes, PtrDType, AddrSpace, can_safe_cast
from tinygrad.helpers import partition, all_same, prod, flatten, get_single_element, cdiv, cmod, CORRECT_DIVMOD_FOLDING
from tinygrad.uop.transcendental import xpow
from tinygrad.uop.decompositions import xpow
# ******** phase 1 of symbolic used to live in ops, it's the most generic folding rules ********
@@ -71,6 +71,19 @@ symbolic_simple = PatternMatcher([
(UPat.var("x").alu(Ops.POW, UPat.cvar("c", vec=False)), simplify_pow),
# positive const ** x
(UPat.cvar("c", vec=False).alu(Ops.POW, UPat.var("x")), lambda c,x: c if c.arg == 1 else (x*math.log2(c.arg)).exp2() if c.arg > 0 else None),
# rules for threefry
((UPat.var('x', dtypes.uint64)&0xFFFFFFFF).cast(dtypes.uint32), lambda x: x.cast_vec(dtypes.uint32)&0xFFFFFFFF), # TODO: why is the and needed?
(((UPat.var(None, dtypes.uint64)*(1<<32)) | UPat.var('y', dtypes.uint32).cast(dtypes.uint64)).cast(dtypes.uint32), lambda y: y),
(((UPat.var('x', dtypes.uint64)*(1<<32)) | UPat.var(None, dtypes.uint32).cast(dtypes.uint64))//(1<<32), lambda x: x),
# hacks for threefry long removal when padded (TODO: genericize)
(UPat.var('x', dtypes.uint32).cast(dtypes.uint64) * UPat.var('y').where(UPat.const(dtypes.uint64, 1<<32), UPat.const(dtypes.uint64, 0)),
lambda x,y: y.where(x, 0).cast_vec(dtypes.uint64) * (1<<32)),
((UPat.var('x', dtypes.uint64)&(UPat.var('y').where(UPat.const(dtypes.uint64, 0xFFFFFFFF), UPat.const(dtypes.uint64, 0)))).cast(dtypes.uint32),
lambda x,y: y.where(x.cast_vec(dtypes.uint32), 0)),
# new decomp rules for threefry
(((UPat.var(None, dtypes.uint64)<<32) | UPat.var('y', dtypes.uint32).cast(dtypes.uint64)).cast(dtypes.uint32), lambda y: y),
(((UPat.var('x', dtypes.uint64)<<32) | UPat.var(None, dtypes.uint32).cast(dtypes.uint64))>>32, lambda x: x),
(UPat.var('b').where(UPat.var('x', dtypes.uint32).cast(dtypes.uint64), UPat.const(dtypes.uint64, 0)).cast(dtypes.uint32), lambda b,x: b.where(x,0))
])
# ******** phase 2 builds on phase 1, it includes the old "symbolic", rules that match deeper ********
@@ -378,22 +391,6 @@ def simplify_valid(valid:UOp) -> UOp|None:
if ret[-1] is not stmt: something_changed = True
return functools.reduce(operator.and_, ret) if something_changed else None
# ***** threefry *****
def threefry2x32(x: UOp, key: UOp):
# split x and key from uint64 to two uint32
x0, x1 = (x & 0xffffffff).cast(dtypes.uint32), ((x // 2**32) & 0xffffffff).cast(dtypes.uint32)
key0, key1 = (key & 0xffffffff).cast(dtypes.uint32), ((key // 2**32) & 0xffffffff).cast(dtypes.uint32)
rotations = [[13, 15, 26, 6], [17, 29, 16, 24]]
ks = [key1, key0 ^ key1 ^ 0x1BD11BDA, key0]
xr = [x0 + ks[-1], x1 + ks[0]]
for i in range(5):
for r in rotations[i % 2]: xr[0], xr[1] = (x0 := xr[0] + xr[1]), x0 ^ ((xr[1] * 2**r) + (xr[1] // 2**(32 - r)))
xr = [(xr[0] + ks[i % 3]), (xr[1] + ks[(i + 1) % 3] + i + 1)]
return xr[1].cast(dtypes.uint64) * 2**32 | xr[0].cast(dtypes.uint64)
# ******** phase 3 is the complete symbolic, and deals with very complex things like loop rewriting and threefry transform ********
def reduce_mul_chain(r:UOp):
@@ -428,16 +425,6 @@ sym = symbolic_flat+PatternMatcher([
# tensor core with a 0 input is acc
(UPat(Ops.WMMA, src=(UPat.const(None, 0.0), UPat.var(), UPat.var("acc"))), lambda acc: acc),
(UPat(Ops.WMMA, src=(UPat.var(), UPat.const(None, 0.0), UPat.var("acc"))), lambda acc: acc),
# threefry + remove longs
(UPat(Ops.THREEFRY, dtype=dtypes.uint64, src=(UPat.var("x"), UPat.var("key"))), threefry2x32),
((UPat.var('x', dtypes.uint64)&0xFFFFFFFF).cast(dtypes.uint32), lambda x: x.cast(dtypes.uint32)), # cast does truncation
(((UPat.var(None, dtypes.uint64)*(1<<32)) | UPat.var('y', dtypes.uint32).cast(dtypes.uint64)).cast(dtypes.uint32), lambda y: y),
(((UPat.var('x', dtypes.uint64)*(1<<32)) | UPat.var(None, dtypes.uint32).cast(dtypes.uint64))//(1<<32), lambda x: x),
# hacks for threefry long removal when padded (TODO: genericize)
(UPat.var('x', dtypes.uint32).cast(dtypes.uint64) * UPat.var('y').where(UPat.const(dtypes.uint64, 1<<32), UPat.const(dtypes.uint64, 0)),
lambda x,y: y.where(x, UOp.const(dtypes.uint32, 0)).cast(dtypes.uint64) * (1<<32)),
((UPat.var('x', dtypes.uint64)&(UPat.var('y').where(UPat.const(dtypes.uint64, 0xFFFFFFFF), UPat.const(dtypes.uint64, 0)))).cast(dtypes.uint32),
lambda x,y: y.where(x.cast(dtypes.uint32), UOp.const(dtypes.uint32, 0))),
# ** self folding **
# x!=0 -> (bool)x
(UPat.var("x")!=0, lambda x: x.cast(dtypes.bool.vec(x.dtype.count))),
+6 -4
View File
@@ -75,11 +75,13 @@ def uop_to_json(x:UOp) -> dict[int, dict]:
if x in excluded:
if x.op is Ops.CONST and dtypes.is_float(u.dtype): label += f"\nCONST{idx} {x.arg:g}"
else: label += f"\n{x.op.name}{idx} {x.arg}"
try:
if u.op not in {Ops.VIEW, Ops.BUFFER, Ops.KERNEL, Ops.ASSIGN, Ops.COPY, Ops.SINK, *GroupOp.Buffer} and u.st is not None:
if u.op not in {Ops.VIEW, Ops.BUFFER, Ops.KERNEL, Ops.ASSIGN, Ops.COPY, Ops.SINK, *GroupOp.Buffer} and u.st is not None:
try:
label += f"\n{shape_to_str(u.shape)}"
except Exception:
label += "\n<ISSUE GETTING SHAPE>"
except Exception:
label += "\n<ISSUE GETTING SHAPE>"
elif len(rngs:=u.ranges):
label += f"\n{str(sorted([x.arg for x in rngs]))}"
if (ref:=ref_map.get(u.arg.ast) if u.op is Ops.KERNEL else None) is not None: label += f"\ncodegen@{ctxs[ref]['name']}"
# NOTE: kernel already has metadata in arg
if TRACEMETA >= 2 and u.metadata is not None and u.op is not Ops.KERNEL: label += "\n"+repr(u.metadata)