Remove deprecated PyTensor function functionality and reduce overhead

[ricardoV94]

Removing all the deprecated stuff that nobody uses

I think after this there's not much more fat to trim. We could try to avoid the input/output list thing with linkers that don't need it but we still need to sort them/ recognize kwargs which is pretty much what's left.

The C part of the call takes 100ns, so the "overhead" in this case is 200-250ns.
For reference, calling numpy.zeros(100) takes like ~250ns, and a python identity function is ~20ns.

Results of the new benchmark

Before

--------------------------------------------------------------------------------------------------------------------- benchmark: 4 tests ---------------------------------------------------------------------------------------------------------------------
Name (time in ns)                                                                Min                    Max                  Mean              StdDev                Median                IQR            Outliers  OPS (Kops/s)            Rounds  Iterations
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_identity_function_overhead_benchmark[cvm_nogc-trust_input=True]        524.0000 (1.0)      55,453.8000 (8.24)       574.7866 (1.0)      326.9482 (3.11)       560.5500 (1.0)      24.5500 (1.0)      301;2121    1,739.7760 (1.0)       82217          20
test_identity_function_overhead_benchmark[cvm-trust_input=True]             590.9999 (1.13)      6,733.0000 (1.0)        654.5138 (1.14)     105.2706 (1.0)        650.9999 (1.16)     30.9999 (1.26)       89;486    1,527.8516 (0.88)      19552           1
test_identity_function_overhead_benchmark[cvm_nogc-trust_input=False]     1,432.0001 (2.73)     31,008.0000 (4.61)     1,608.2195 (2.80)     296.4835 (2.82)     1,583.0001 (2.82)     50.0002 (2.04)     722;1368      621.8057 (0.36)      37638           1
test_identity_function_overhead_benchmark[cvm-trust_input=False]          1,463.0000 (2.79)     11,541.9998 (1.71)     1,614.7948 (2.81)     329.0091 (3.13)     1,582.9999 (2.82)     60.0000 (2.44)       78;152      619.2737 (0.36)       3899           1
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

After

--------------------------------------------------------------------------------------------------------------------- benchmark: 4 tests ---------------------------------------------------------------------------------------------------------------------
Name (time in ns)                                                                Min                    Max                  Mean              StdDev                Median                IQR            Outliers  OPS (Kops/s)            Rounds  Iterations
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
test_identity_function_overhead_benchmark[cvm_nogc-trust_input=True]        322.7857 (1.0)       5,672.7143 (1.0)        358.2689 (1.0)       75.7251 (1.0)        354.9286 (1.0)      12.2143 (1.0)     1548;2274    2,791.1995 (1.0)      199641          14
test_identity_function_overhead_benchmark[cvm-trust_input=True]             439.9999 (1.36)     15,960.0002 (2.81)       505.0075 (1.41)     135.9068 (1.79)       500.9999 (1.41)     29.9999 (2.46)      136;793    1,980.1684 (0.71)      32064           1
test_identity_function_overhead_benchmark[cvm_nogc-trust_input=False]     1,312.0000 (4.06)      8,876.9998 (1.56)     1,446.4540 (4.04)     179.0074 (2.36)     1,442.0000 (4.06)     49.9999 (4.09)      114;493      691.3459 (0.25)      36521           1
test_identity_function_overhead_benchmark[cvm-trust_input=False]          1,382.0002 (4.28)      8,705.9998 (1.53)     1,525.5059 (4.26)     198.9647 (2.63)     1,512.9999 (4.26)     50.9999 (4.18)       42;142      655.5202 (0.23)       7106           1
--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

---

I also removed the strict zip, because passing strict=False is more than 100ns slower than not specifying it at all. Check out with this snippet:

a = tuple(range(10))
b = tuple(range(9))
%timeit tuple(zip(a, b, strict=False))
%timeit tuple(zip(a, b))
587 ns ± 8.29 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)
458 ns ± 17.4 ns per loop (mean ± std. dev. of 7 runs, 1,000,000 loops each)

Closes #1332
Does the same as and closes #1976

---

📚 Documentation preview 📚: https://pytensor--1351.org.readthedocs.build/en/1351/

[Armavica]

@ricardoV94 What is this test_overhead_benchmark function?

[ricardoV94]

Something that changed name in #1993 probably, let me find and rerun

[ricardoV94]

Ah dropped during rebase, it was new to this PR?...

[ricardoV94]

Re-introduced test_identity_function_overhead_benchmark. Updated benchmark on top. It's not as large as it used to be, in part because we already merged several of the changes since then, including 65d01e1

[Armavica]

Did you mean to add the DefaultOp and Eigvalsh as part of this PR?
No problem if that's the case but I am trying to understand if they are related to the function overhead

[ricardoV94]

Those Ops relied on special casing of inputs being None at runtime (but not typed as such at definition time) which required a general extra if input is not None guard before type.filter all the time.

[Armavica]

This is a tuple[tuple[int, Container], ...]

[ricardoV94]

Yeah, I always get tripped by this

[Armavica]

I understood most of it (not all) and it looks mostly okay to me, except in a couple of places where I have doubts