This is a workflow for accelerating training with float8 in native PyTorch
according to the recipes laid out in https://arxiv.org/pdf/2209.05433.pdf.
The codebase strives to stay small, easily hackable, debuggable with native PyTorch tooling,
and composable with key systems such as autograd, torch.compile and distributed.
With torch.compile on, initial results show
throughput speedups of up to 1.5x on 128 GPU LLaMa 3 70B pretraining jobs.
We provide three per-tensor scaling strategies: dynamic, delayed and static. See https://arxiv.org/pdf/2209.05433.pdf, Section 4.3 for more details. These strategies are configurable separately for activations (input), weights (weight) and gradients (grad_output).
This is the most accurate recipe as every tensor is scaled dynamically.
import torch
import torch.nn as nn
from torchao.float8 import convert_to_float8_training
# create model and sample input
m = nn.Sequential(
nn.Linear(2048, 4096),
nn.Linear(4096, 128),
).bfloat16().cuda()
x = torch.randn(4096, 2048, device="cuda", dtype=torch.bfloat16)
optimizer = torch.optim.SGD(m.parameters(), lr=0.1)
# optional: filter modules from being eligible for float8 conversion
def module_filter_fn(mod: torch.nn.Module, fqn: str):
# don't convert the last module
if fqn == "1":
return False
# don't convert linear modules with weight dimensions not divisible by 16
if isinstance(mod, torch.nn.Linear):
if mod.in_features % 16 != 0 or mod.out_features % 16 != 0:
return False
return True
# convert specified `torch.nn.Linear` modules to `Float8Linear`
convert_to_float8_training(m, module_filter_fn=module_filter_fn)
# enable torch.compile for competitive performance
m = torch.compile(m)
# toy training loop
for _ in range(10):
optimizer.zero_grad()
y = m(x)
y.sum().backward()
optimizer.step()This is theoretically the most performant recipe as it minimizes memory reads.
import torch
import torch.nn as nn
from torchao.float8 import (
convert_to_float8_training,
sync_float8_amax_and_scale_history,
Float8LinearConfig,
ScalingType,
CastConfig,
)
# create model and sample input
m = nn.Sequential(
nn.Linear(2048, 4096),
nn.Linear(4096, 128),
).bfloat16().cuda()
x = torch.randn(4096, 2048, device="cuda", dtype=torch.bfloat16)
optimizer = torch.optim.SGD(m.parameters(), lr=0.1)
# configure delayed scaling
config = Float8LinearConfig(
cast_config_input=CastConfig(scaling_type=ScalingType.DELAYED),
cast_config_weight=CastConfig(scaling_type=ScalingType.DELAYED),
cast_config_grad_output=CastConfig(scaling_type=ScalingType.DELAYED),
# enable_amax_init=False, # only needed for autocast + compile + FSDP + float8 delayed
# enable_pre_and_post_forward=False # only needed for autocast + compile + FSDP + float8 delayed
)
# convert all `torch.nn.Linear` modules to `Float8Linear`, specifying custom scaling behavior
convert_to_float8_training(m, config=config)
# enable torch.compile for competitive performance
m = torch.compile(m)
# toy training loop
for _ in range(10):
optimizer.zero_grad()
y = m(x)
y.sum().backward()
# specific to float8 with delayed scaling: separate step to sync scales/amaxes
# in the future, this may move to a context manager
sync_float8_amax_and_scale_history(m)
optimizer.step()We compose with the DTensor based distributed APIs,
such as FSDP, TP and SP. Please see the torchtitan repository for e2e examples
on using torchao.float8 in a distributed setting.
A common question about float8 training is "when is float8 linear faster vs bfloat16?". Given the M, K, N of the forward pass through your linear, you can reference the table below for a microbenchmark based speedup estimate on NVIDIA H100:
Example 1 (small shapes):
- forward input tensor size 1024x2048, linear weight size 2048x1024; M, K, N = 1024, 2048, 1024
- benchmark speedup is 0.80
- recommendation: leave this linear in bfloat16, the shapes are too small to benefit from float8 compute
Example 2 (large shapes):
- forward input tensor size 4096x8192, linear weight size 8192x16384; M, K, N = 4096, 8192, 16384
- benchmark speedup is 1.39
- recommendation: enable float8 for this linear to get a speedup
To reproduce the raw data for table above, you can run the following script
python benchmarks/float8/float8_roofline.py your_output_filename.csv --gemm_time_strategy benchmarks --shape_gen_name sweep
In a bf16 linear, assume all of the time is spent in gemms. In a float8 linear, account for max_abs and casting overhead. We want to know when
bf16_gemm_time > fp8_gemm_time + fp8_overhead_time
Or, equivalently,
bf16_gemm_time - fp8_gemm_time > fp8_overhead_time
There are three observations we can make about the formula above:
- LHS > 0 for large shapes, with the gemm speedup approaching 2x as M, K, N increase
- LHS < 0 for small shapes, on NVIDIA H100 + cuBLAS
- RHS > 0 for all shapes, bounded by memory bandwidth, framework overhead and compiler limitations
For small shapes, a combination of (2) and (3) leads to speedup < 1. For medium shapes, (1) and (3) are of similar magnitude and the speedup depends on M, K, N and framework and compiler behavior. For large shapes, (1) leads to speedup > 1.
Delayed scaling is theoretically faster than dynamic scaling because of reduced read/write traffic requirements. Today, torch.compile has a couple of limitations (see the performance section of pytorch#556) which prevent us from reaching the optimal behavior for delayed scaling, so the observed performance of delayed scaling is close to that of dynamic scaling. As the torch.compile limitations are fixed, we expect delayed scaling to eventually become more performant compared to dynamic scaling.
There are a couple of limitations in how torch.compile generates float8 scaling and casting kernels (see the performance section of pytorch#556). As the limitations get resolved, we expect to reach improved performance.
# run single-GPU unit tests
pytest test/float8/test_base.py
# run single-GPU compile tests
pytest test/float8/test_compile.py
# run single-GPU numerics integration tests
pytest test/float8/test_numerics_integration.py
# run a two-GPU integration test on FSDP
./test/float8/test_fsdp.sh
# run integration tests on the DTensor TP/SP integration
./test/float8/test_dtensor.sh
# run integration tests on the FSDP2 integration
python test/float8/test_fsdp2/test_fsdp2.py
# run all of these tests
./test/float8/test_everything.sh# benchmark the torch._scaled_mm function on LLaMa 2 70B shapes
./benchmarks/float8/bench_matmul.py
# benchmark fw/bw of `Linear` and `Float8Linear` on LLaMa 2 70B shapes
# make sure to turn on torch.compile to get the best performance
./benchmarks/float8/bench_linear_float8.py -o ../tmp/test.txt --compile