The current version of the Fraction.__reduce__() method uses str(), which produces bigger dumps, esp. for large components.

C.f.:
>>> import random, pickle
>>> from fractions import Fraction as F
>>> random.seed(1); a = F(*random.random().as_integer_ratio())
>>> for proto in range(pickle.HIGHEST_PROTOCOL + 1):
...     print(len(pickle.dumps(a, proto)))
... 
71
70
71
71
77
77
>>> b = a**13
>>> for proto in range(pickle.HIGHEST_PROTOCOL + 1):
...     print(len(pickle.dumps(b, proto)))
... 
444
443
444
444
453
453

vs the attached patch:
>>> for proto in range(pickle.HIGHEST_PROTOCOL + 1):
...     print(len(pickle.dumps(a, proto)))
... 
71
68
49
49
59
59
>>> for proto in range(pickle.HIGHEST_PROTOCOL + 1):
...     print(len(pickle.dumps(b, proto)))
... 
444
441
204
204
214
214

Testing for non-default protocols was also added.  Let me know if all this does make sense as a PR.

Yes, this looks reasonable.  Go ahead with a PR.

Oh yes - please do. It's not just pickle size - going through str() makes (un)pickling quadratic time in both directions if components are large. Pickle the component ints instead, and the more recent pickle protocol(s) can do both directions in linear time instead.

> Oh yes - please do.

Ok, I did.

> It's not just pickle size - going through str() makes (un)pickling quadratic time in both directions if components are large.

Yeah, I noticed speedup too, but size was much more important for may application.

BTW, the same issue affects some other stdlib modules, ex. in the Decimal() it will be more efficient to use the tuple (sign, digit_tuple, exponent) instead of dumping strings.  Maybe more, simple fgrep suggests me also the ipaddress module, but I think here it's ok;-)

Not sure why this wasn't closed after pr merging.  If this was intentional - let me know and reopen.

I'm less sure if something like this will work for a Decimal().  Perhaps, if the constructor will accept an integer as the value[1], not just a tuple of digits.

You're right that this won't work for decimal because it takes a string constructor.  A fancier reduce might do the trick but it would involve modifying the C code (no fun) as well as the Python code.  Also, the conversion from decimal to string and back isn't quadratic, so we don't have the same worries.  Lastly, really large fractions happen naturally as they interoperate, but oversized decimals are uncommon.

On Thu, May 20, 2021 at 12:03:38AM +0000, Raymond Hettinger wrote:
> Raymond Hettinger <raymond.hettinger@gmail.com> added the comment:
> You're right that this won't work for decimal because it takes a
> string constructor.  A fancier reduce might do the trick but it would
> involve modifying the C code (no fun) as well as the Python code.

Yes, it will be harder.  But I think - is possible.

E.g. with this trivial patch:
$ git diff
diff --git a/Lib/_pydecimal.py b/Lib/_pydecimal.py
index ff23322ed5..473fb86770 100644
--- a/Lib/_pydecimal.py
+++ b/Lib/_pydecimal.py
@@ -627,6 +627,9 @@ def __new__(cls, value="0", context=None):
                 self._exp = value[2]
                 self._is_special = True
             else:
+                value = list(value)
+                if isinstance(value[1], int):
+                    value[1] = tuple(map(int, str(value[1])))
                 # process and validate the digits in value[1]
                 digits = []
                 for digit in value[1]:
@@ -3731,7 +3734,7 @@ def shift(self, other, context=None):

     # Support for pickling, copy, and deepcopy
     def __reduce__(self):
-        return (self.__class__, (str(self),))
+        return (self.__class__, ((self._sign, int(self._int), self._exp),))

     def __copy__(self):
         if type(self) is Decimal:

Simple test suggests that 2x size difference is possible:
>>> import pickle
>>> from test.support.import_helper import import_fresh_module
>>> P = import_fresh_module('decimal', blocked=['_decimal'])
>>> P.getcontext().prec = 1000
>>> d = P.Decimal('101').exp()
>>> len(pickle.dumps(d))
1045

vs
>>> len(pickle.dumps(d))
468

with the above diff.  (Some size reduction will be even if we
don't convert back and forth the self._int, due to self._exp size.
This is a less interesting case, but it's for free!  No speed penalty.)

> Also, the conversion from decimal to string and back isn't quadratic,
> so we don't have the same worries.

Yes, for a speed bonus - we need to do something more clever)

> Lastly, really large fractions happen naturally as they interoperate,
> but oversized decimals are uncommon.

For financial calculations this, probably, is true.  But perfectly
legal usage of this module - to compute mathematical functions with
arbitrary-precision (like mpmath does with mpmath.mpf).

Let me know if it's worth openning an issue with above improvement.

> Let me know if it's worth openning an issue with above improvement

I don't think so.