Output before this patch:

         3666 function calls (3556 primitive calls) in 0.005 seconds

   Ordered by: standard name

   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
        2    0.000    0.000    0.002    0.001 <frozen importlib._bootstrap>:1009(_handle_fromlist)
        7    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:103(release)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:143(__init__)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:147(__enter__)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:151(__exit__)
        7    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:157(_get_module_lock)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:176(cb)
        2    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:194(_lock_unlock_module)
      7/1    0.000    0.000    0.003    0.003 <frozen importlib._bootstrap>:211(_call_with_frames_removed)
       53    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:222(_verbose_message)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:307(__init__)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:311(__enter__)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:318(__exit__)
       20    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:321(<genexpr>)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:35(_new_module)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:369(__init__)
        9    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:403(cached)
        7    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:416(parent)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:424(has_location)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:504(_init_module_attrs)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:576(module_from_spec)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:58(__init__)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:663(_load_unlocked)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:719(find_spec)
        7    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:78(acquire)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:792(find_spec)
       15    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:855(__enter__)
       15    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:859(__exit__)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap>:882(_find_spec)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:948(_find_and_load_unlocked)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:978(_find_and_load)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1072(__init__)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1083(create_module)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1091(exec_module)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1233(_path_hooks)
       12    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1246(_path_importer_cache)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1283(_get_spec)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1315(find_spec)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1362(__init__)
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1368(<genexpr>)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1394(_get_spec)
       10    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1399(find_spec)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1447(_fill_cache)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1476(<setcomp>)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1488(path_hook_for_FileFinder)
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:282(cache_from_source)
       10    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:36(_relax_case)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:412(_get_cached)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:444(_check_name_wrapper)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:481(_classify_pyc)
       12    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:51(_r_long)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:514(_validate_timestamp_pyc)
       51    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:56(_path_join)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:566(_compile_bytecode)
       51    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:58(<listcomp>)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:617(spec_from_file_location)
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:62(_path_split)
       23    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:74(_path_stat)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:762(create_module)
      4/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap_external>:765(exec_module)
        4    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:836(get_code)
        9    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:84(_path_is_mode_type)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:927(__init__)
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:93(_path_isfile)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:952(get_filename)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:957(get_data)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:98(_path_isdir)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:994(path_stats)
      100    0.000    0.000    0.001    0.000 __init__.py:183(dumps)
        1    0.000    0.000    0.003    0.003 __init__.py:97(<module>)
        1    0.000    0.000    0.002    0.002 decoder.py:2(<module>)
        1    0.000    0.000    0.000    0.000 decoder.py:20(JSONDecodeError)
        1    0.000    0.000    0.000    0.000 decoder.py:254(JSONDecoder)
        1    0.000    0.000    0.000    0.000 decoder.py:284(__init__)
        1    0.000    0.000    0.000    0.000 encoder.py:104(__init__)
      100    0.000    0.000    0.000    0.000 encoder.py:182(encode)
        1    0.000    0.000    0.001    0.001 encoder.py:2(<module>)
      100    0.000    0.000    0.000    0.000 encoder.py:204(iterencode)
        1    0.000    0.000    0.000    0.000 encoder.py:73(JSONEncoder)
       20    0.000    0.000    0.000    0.000 enum.py:275(__call__)
       20    0.000    0.000    0.000    0.000 enum.py:525(__new__)
       23    0.000    0.000    0.000    0.000 enum.py:602(name)
        5    0.000    0.000    0.000    0.000 enum.py:607(value)
        2    0.000    0.000    0.000    0.000 enum.py:765(_missing_)
        2    0.000    0.000    0.000    0.000 enum.py:772(_create_pseudo_member_)
        4    0.000    0.000    0.000    0.000 enum.py:802(__or__)
        6    0.000    0.000    0.000    0.000 enum.py:808(__and__)
        3    0.000    0.000    0.000    0.000 enum.py:827(_high_bit)
        2    0.000    0.000    0.000    0.000 enum.py:844(_decompose)
        2    0.000    0.000    0.000    0.000 enum.py:862(<listcomp>)
        5    0.000    0.000    0.000    0.000 enum.py:873(<lambda>)
        5    0.000    0.000    0.000    0.000 enum.py:879(_power_of_two)
        6    0.000    0.000    0.001    0.000 re.py:232(compile)
        6    0.000    0.000    0.001    0.000 re.py:271(_compile)
        1    0.000    0.000    0.001    0.001 scanner.py:2(<module>)
       14    0.000    0.000    0.000    0.000 sre_compile.py:249(_compile_charset)
       14    0.000    0.000    0.000    0.000 sre_compile.py:276(_optimize_charset)
        4    0.000    0.000    0.000    0.000 sre_compile.py:411(_mk_bitmap)
        4    0.000    0.000    0.000    0.000 sre_compile.py:413(<listcomp>)
        9    0.000    0.000    0.000    0.000 sre_compile.py:423(_simple)
       13    0.000    0.000    0.000    0.000 sre_compile.py:453(_get_iscased)
      8/5    0.000    0.000    0.000    0.000 sre_compile.py:461(_get_literal_prefix)
        5    0.000    0.000    0.000    0.000 sre_compile.py:492(_get_charset_prefix)
        6    0.000    0.000    0.000    0.000 sre_compile.py:536(_compile_info)
       12    0.000    0.000    0.000    0.000 sre_compile.py:595(isstring)
        6    0.000    0.000    0.001    0.000 sre_compile.py:598(_code)
       12    0.000    0.000    0.000    0.000 sre_compile.py:65(_combine_flags)
     25/6    0.000    0.000    0.000    0.000 sre_compile.py:71(_compile)
        6    0.000    0.000    0.001    0.000 sre_compile.py:759(compile)
       26    0.000    0.000    0.000    0.000 sre_parse.py:111(__init__)
       52    0.000    0.000    0.000    0.000 sre_parse.py:160(__len__)
      123    0.000    0.000    0.000    0.000 sre_parse.py:164(__getitem__)
       10    0.000    0.000    0.000    0.000 sre_parse.py:168(__setitem__)
       25    0.000    0.000    0.000    0.000 sre_parse.py:172(append)
    31/12    0.000    0.000    0.000    0.000 sre_parse.py:174(getwidth)
        6    0.000    0.000    0.000    0.000 sre_parse.py:224(__init__)
      102    0.000    0.000    0.000    0.000 sre_parse.py:233(__next)
       71    0.000    0.000    0.000    0.000 sre_parse.py:249(match)
       71    0.000    0.000    0.000    0.000 sre_parse.py:254(get)
        4    0.000    0.000    0.000    0.000 sre_parse.py:258(getwhile)
       38    0.000    0.000    0.000    0.000 sre_parse.py:286(tell)
       16    0.000    0.000    0.000    0.000 sre_parse.py:295(_class_escape)
        4    0.000    0.000    0.000    0.000 sre_parse.py:355(_escape)
        9    0.000    0.000    0.000    0.000 sre_parse.py:432(_uniq)
     13/6    0.000    0.000    0.001    0.000 sre_parse.py:441(_parse_sub)
     15/6    0.000    0.000    0.001    0.000 sre_parse.py:499(_parse)
        6    0.000    0.000    0.000    0.000 sre_parse.py:76(__init__)
       24    0.000    0.000    0.000    0.000 sre_parse.py:81(groups)
        6    0.000    0.000    0.000    0.000 sre_parse.py:84(opengroup)
        6    0.000    0.000    0.000    0.000 sre_parse.py:927(fix_flags)
        6    0.000    0.000    0.001    0.000 sre_parse.py:943(parse)
        6    0.000    0.000    0.000    0.000 sre_parse.py:96(closegroup)
        1    0.000    0.000    0.005    0.005 stats_test.py:1(<module>)
       28    0.000    0.000    0.000    0.000 types.py:164(__get__)
        2    0.000    0.000    0.000    0.000 {built-in method __new__ of type object at 0x10402e370}
        4    0.000    0.000    0.000    0.000 {built-in method _imp._fix_co_filename}
       27    0.000    0.000    0.000    0.000 {built-in method _imp.acquire_lock}
        1    0.000    0.000    0.000    0.000 {built-in method _imp.create_dynamic}
        1    0.000    0.000    0.000    0.000 {built-in method _imp.exec_dynamic}
        2    0.000    0.000    0.000    0.000 {built-in method _imp.is_builtin}
        5    0.000    0.000    0.000    0.000 {built-in method _imp.is_frozen}
       27    0.000    0.000    0.000    0.000 {built-in method _imp.release_lock}
        6    0.000    0.000    0.000    0.000 {built-in method _sre.compile}
       10    0.000    0.000    0.000    0.000 {built-in method _thread.allocate_lock}
       14    0.000    0.000    0.000    0.000 {built-in method _thread.get_ident}
        3    0.000    0.000    0.000    0.000 {built-in method builtins.__build_class__}
        1    0.000    0.000    0.002    0.002 {built-in method builtins.__import__}
        5    0.000    0.000    0.000    0.000 {built-in method builtins.any}
       32    0.000    0.000    0.000    0.000 {built-in method builtins.chr}
      5/1    0.000    0.000    0.005    0.005 {built-in method builtins.exec}
       30    0.000    0.000    0.000    0.000 {built-in method builtins.getattr}
       22    0.000    0.000    0.000    0.000 {built-in method builtins.hasattr}
      389    0.000    0.000    0.000    0.000 {built-in method builtins.isinstance}
  331/303    0.000    0.000    0.000    0.000 {built-in method builtins.len}
        4    0.000    0.000    0.000    0.000 {built-in method builtins.max}
       59    0.000    0.000    0.000    0.000 {built-in method builtins.min}
       17    0.000    0.000    0.000    0.000 {built-in method builtins.ord}
        3    0.000    0.000    0.000    0.000 {built-in method builtins.setattr}
       12    0.000    0.000    0.000    0.000 {built-in method from_bytes}
        4    0.000    0.000    0.000    0.000 {built-in method marshal.loads}
       13    0.000    0.000    0.000    0.000 {built-in method posix.fspath}
        2    0.000    0.000    0.000    0.000 {built-in method posix.getcwd}
        1    0.000    0.000    0.000    0.000 {built-in method posix.listdir}
       23    0.000    0.000    0.000    0.000 {built-in method posix.stat}
      312    0.000    0.000    0.000    0.000 {method 'append' of 'list' objects}
        3    0.000    0.000    0.000    0.000 {method 'bit_length' of 'int' objects}
        1    0.000    0.000    0.000    0.000 {method 'disable' of '_lsprof.Profiler' objects}
        6    0.000    0.000    0.000    0.000 {method 'endswith' of 'str' objects}
       12    0.000    0.000    0.000    0.000 {method 'extend' of 'list' objects}
       48    0.000    0.000    0.000    0.000 {method 'find' of 'bytearray' objects}
       33    0.000    0.000    0.000    0.000 {method 'format' of 'str' objects}
       38    0.000    0.000    0.000    0.000 {method 'get' of 'dict' objects}
        1    0.000    0.000    0.000    0.000 {method 'insert' of 'list' objects}
        8    0.000    0.000    0.000    0.000 {method 'items' of 'dict' objects}
      159    0.000    0.000    0.000    0.000 {method 'join' of 'str' objects}
        6    0.000    0.000    0.000    0.000 {method 'lower' of 'str' objects}
        4    0.000    0.000    0.000    0.000 {method 'read' of '_io.FileIO' objects}
       38    0.000    0.000    0.000    0.000 {method 'rpartition' of 'str' objects}
      110    0.000    0.000    0.000    0.000 {method 'rstrip' of 'str' objects}
       34    0.000    0.000    0.000    0.000 {method 'setdefault' of 'dict' objects}
        2    0.000    0.000    0.000    0.000 {method 'sort' of 'list' objects}
        2    0.000    0.000    0.000    0.000 {method 'startswith' of 'str' objects}
        4    0.000    0.000    0.000    0.000 {method 'translate' of 'bytearray' objects}


After:

         3666 function calls (3556 primitive calls) in 0.005 seconds

   Ordered by: cumulative time

   ncalls  tottime  percall  cumtime  percall filename:lineno(function)
      5/1    0.000    0.000    0.005    0.005 {built-in method builtins.exec}
        1    0.000    0.000    0.005    0.005 stats_test.py:1(<module>)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:978(_find_and_load)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:948(_find_and_load_unlocked)
      5/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:663(_load_unlocked)
      4/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap_external>:765(exec_module)
      7/1    0.000    0.000    0.004    0.004 <frozen importlib._bootstrap>:211(_call_with_frames_removed)
        1    0.000    0.000    0.004    0.004 json/__init__.py:97(<module>)
        1    0.000    0.000    0.002    0.002 decoder.py:2(<module>)
        2    0.000    0.000    0.002    0.001 <frozen importlib._bootstrap>:1009(_handle_fromlist)
        1    0.000    0.000    0.002    0.002 {built-in method builtins.__import__}
        6    0.000    0.000    0.001    0.000 re.py:232(compile)
        6    0.000    0.000    0.001    0.000 re.py:271(_compile)
        6    0.000    0.000    0.001    0.000 sre_compile.py:759(compile)
        1    0.000    0.000    0.001    0.001 scanner.py:2(<module>)
        6    0.000    0.000    0.001    0.000 sre_parse.py:943(parse)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap>:882(_find_spec)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1315(find_spec)
        5    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1283(_get_spec)
     13/6    0.000    0.000    0.001    0.000 sre_parse.py:441(_parse_sub)
        4    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:836(get_code)
     15/6    0.000    0.000    0.001    0.000 sre_parse.py:499(_parse)
        1    0.000    0.000    0.001    0.001 encoder.py:2(<module>)
      100    0.000    0.000    0.001    0.000 json/__init__.py:183(dumps)
       10    0.000    0.000    0.001    0.000 <frozen importlib._bootstrap_external>:1399(find_spec)
      100    0.000    0.000    0.000    0.000 encoder.py:182(encode)
        6    0.000    0.000    0.000    0.000 sre_compile.py:598(_code)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:576(module_from_spec)
     25/6    0.000    0.000    0.000    0.000 sre_compile.py:71(_compile)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1083(create_module)
        1    0.000    0.000    0.000    0.000 {built-in method _imp.create_dynamic}
      100    0.000    0.000    0.000    0.000 encoder.py:204(iterencode)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:566(_compile_bytecode)
       23    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:74(_path_stat)
        4    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:957(get_data)
       23    0.000    0.000    0.000    0.000 {built-in method posix.stat}
        4    0.000    0.000    0.000    0.000 {built-in method marshal.loads}
       14    0.000    0.000    0.000    0.000 sre_compile.py:276(_optimize_charset)
        6    0.000    0.000    0.000    0.000 sre_compile.py:536(_compile_info)
       20    0.000    0.000    0.000    0.000 enum.py:275(__call__)
       51    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:56(_path_join)
        4    0.000    0.000    0.000    0.000 enum.py:802(__or__)
       12    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1246(_path_importer_cache)
        5    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:504(_init_module_attrs)
        9    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:84(_path_is_mode_type)
       20    0.000    0.000    0.000    0.000 enum.py:525(__new__)
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:93(_path_isfile)
        4    0.000    0.000    0.000    0.000 {method 'read' of '_io.FileIO' objects}
    31/12    0.000    0.000    0.000    0.000 sre_parse.py:174(getwidth)
        2    0.000    0.000    0.000    0.000 enum.py:765(_missing_)
        2    0.000    0.000    0.000    0.000 enum.py:772(_create_pseudo_member_)
      123    0.000    0.000    0.000    0.000 sre_parse.py:164(__getitem__)
      389    0.000    0.000    0.000    0.000 {built-in method builtins.isinstance}
        8    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:282(cache_from_source)
       71    0.000    0.000    0.000    0.000 sre_parse.py:254(get)
        1    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap_external>:1447(_fill_cache)
      102    0.000    0.000    0.000    0.000 sre_parse.py:233(__next)
        3    0.000    0.000    0.000    0.000 {built-in method builtins.__build_class__}
        2    0.000    0.000    0.000    0.000 enum.py:844(_decompose)
        6    0.000    0.000    0.000    0.000 sre_parse.py:96(closegroup)
        9    0.000    0.000    0.000    0.000 <frozen importlib._bootstrap>:403(cached)
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The sorting is easy to see, but the other change is that this line:

      100    0.000    0.000    0.001    0.000 __init__.py:183(dumps)

...now looks like this:

      100    0.000    0.000    0.001    0.000 json/__init__.py:183(dumps)