DDD emulated by HHH diverges from DDD emulated by HHH1

DDD correctly emulated by HHH diverges from DDD
correctly emulated by HHH1 as soon as HHH begins
emulating itself emulating DDD, marked below.
*HHH1 never emulates itself emulating DDD*
void DDD()
{
   HHH(DDD);
   return;
}
int main()
{
   HHH1(DDD);
}
_DDD()
[00002183] 55             push ebp
[00002184] 8bec           mov ebp,esp
[00002186] 6883210000     push 00002183 ; push DDD
[0000218b] e833f4ffff     call 000015c3 ; call HHH
[00002190] 83c404         add esp,+04
[00002193] 5d             pop ebp
[00002194] c3             ret
Size in bytes:(0018) [00002194]
_main()
[000021a3] 55             push ebp
[000021a4] 8bec           mov ebp,esp
[000021a6] 6883210000     push 00002183 ; push DDD
[000021ab] e843f3ffff     call 000014f3 ; call HHH1
[000021b0] 83c404         add esp,+04
[000021b3] 33c0           xor eax,eax
[000021b5] 5d             pop ebp
[000021b6] c3             ret
Size in bytes:(0020) [000021b6]
  machine   stack     stack     machine    assembly
  address   address   data      code       language
  ========  ========  ========  ========== =============
[000021a3][0010382d][00000000] 55         push ebp      ; main()
[000021a4][0010382d][00000000] 8bec       mov ebp,esp   ; main()
[000021a6][00103829][00002183] 6883210000 push 00002183 ; push DDD
[000021ab][00103825][000021b0] e843f3ffff call 000014f3 ; call HHH1
New slave_stack at:1038d1
Begin Local Halt Decider Simulation   Execution Trace Stored at:1138d9
[00002183][001138c9][001138cd] 55         push ebp      ; DDD of HHH1
[00002184][001138c9][001138cd] 8bec       mov ebp,esp   ; DDD of HHH1
[00002186][001138c5][00002183] 6883210000 push 00002183 ; push DDD
[0000218b][001138c1][00002190] e833f4ffff call 000015c3 ; call HHH
New slave_stack at:14e2f9
Begin Local Halt Decider Simulation   Execution Trace Stored at:15e301
[00002183][0015e2f1][0015e2f5] 55         push ebp      ; DDD of HHH[0]
[00002184][0015e2f1][0015e2f5] 8bec       mov ebp,esp   ; DDD of HHH[0]
[00002186][0015e2ed][00002183] 6883210000 push 00002183 ; push DDD
[0000218b][0015e2e9][00002190] e833f4ffff call 000015c3 ; call HHH
*This is the beginning of the divergence of the behavior*
*of DDD emulated by HHH versus DDD emulated by HHH1*
New slave_stack at:198d21
[00002183][001a8d19][001a8d1d] 55         push ebp      ; DDD of HHH[1]
[00002184][001a8d19][001a8d1d] 8bec       mov ebp,esp   ; DDD of HHH[1]
[00002186][001a8d15][00002183] 6883210000 push 00002183 ; push DDD
[0000218b][001a8d11][00002190] e833f4ffff call 000015c3 ; call HHH
Local Halt Decider: Infinite Recursion Detected Simulation Stopped
[00002190][001138c9][001138cd] 83c404     add esp,+04 ; DDD of HHH1
[00002193][001138cd][000015a8] 5d         pop ebp     ; DDD of HHH1
[00002194][001138d1][0003a980] c3         ret         ; DDD of HHH1
[000021b0][0010382d][00000000] 83c404     add esp,+04 ; main()
[000021b3][0010382d][00000000] 33c0       xor eax,eax ; main()
[000021b5][00103831][00000018] 5d         pop ebp     ; main()
[000021b6][00103835][00000000] c3         ret         ; main()
Number of Instructions Executed(352831) == 5266 Pages
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