They might have been slow on CUDA-11.3, but this version of CUDA is long gone. More fundamental underlying issue were linear complexity of the recursive polynomial definitions for higher order polynomials, for example see this loop from implementation of Chebyshev polynomial of the first kind
7081b8233a/aten/src/ATen/native/Math.h (L2969-L2973)
which were tested by `test_compare_cpu` using following values (as sample index 16)
7081b8233a/torch/testing/_internal/opinfo/core.py (L2079)
Luckily chebyshev polynomials for absolute values higher than 1 pretty quickly reach infinity, see below
```
python3 -c "import torch;print(torch.special.chebyshev_polynomial_v(torch.nextafter(torch.tensor(1.0), torch.tensor(2.0)), torch.tensor(1e6)))"
tensor(nan)
```
Which is not the case for Laguerre polynomials, but it's probably fine to just limit it to 1e7
Before
```
$ PYTORCH_TEST_WITH_SLOW=1 python test_ops.py -k chebyshev_polynomial_
ssssssss..ssssss..ssssss..ssssssssssssssssssssss..ssssss/home/ubuntu/py3.10-nightly/lib/python3.10/site-packages/torch/backends/cuda/__init__.py:131: UserWarning: This API is going to be deprecated, please see https://pytorch.org/docs/main/notes/cuda.html#tensorfloat-32-tf32-on-ampere-and-later-devices (Triggered internally at /pytorch/aten/src/ATen/Context.cpp:78.)
return torch._C._get_cublas_allow_tf32()
....ssssssssssss..ssssss..ssssss............ssssssssssssssssssssssssssssssssssss..ssssssssssssss..ssssss..ssssssssssssssssssssssssssssss..ssssss....ssssssssssss..ssssss..ssssss............ssssssssssssssssssssssssssssssssssss..ssssss..ssssssssssssss..ssssss..ssssss..ssssssssssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssss..ssssssssssssss
----------------------------------------------------------------------
Ran 432 tests in 8.575s
OK (skipped=344)
```
After
```
$ PYTORCH_TEST_WITH_SLOW=1 python test_ops.py -k chebyshev_polynomial_
ssssssss........................ssssssssssssssss......../home/ubuntu/pytorch/torch/backends/cuda/__init__.py:131: UserWarning: This API is going to be deprecated, please see https://pytorch.org/docs/main/notes/cuda.html#tensorfloat-32-tf32-on-ampere-and-later-devices (Triggered internally at /home/ubuntu/pytorch/aten/src/ATen/Context.cpp:78.)
return torch._C._get_cublas_allow_tf32()
........................................................................................xxxxxxxx................ssssssssssssssssssssssss........................................................................................................ssssssss........................ssssssss........................................................................................ssssssss
----------------------------------------------------------------------
Ran 432 tests in 45.580s
OK (skipped=72, expected failures=8)
```
Fixes https://github.com/pytorch/pytorch/issues/79528
Pull Request resolved: https://github.com/pytorch/pytorch/pull/157464
Approved by: https://github.com/Skylion007, https://github.com/dcci
ghstack dependencies: #157488
a952956d05