Bomb Lab Phase 4, Identifying formula - c

Question

I'm not understanding what the function below does. From what I gather, function 4 does something like (x+x)*2 or it does something like (high-low)/2 if a condition is reached. (I might be wrong on this). From reading the code, I also understood that in order to "defuse" the bomb. I need two decimal inputs, and the second one should be 14.
I'm stuck trying to figure out the first value, and trying to identify the correct formula to use in order to figure out the first value.
Function_4
00000000004010b2 <func4>:
4010b2: 55 push %rbp
4010b3: 48 89 e5 mov %rsp,%rbp
4010b6: 89 d0 mov %edx,%eax
4010b8: 29 f0 sub %esi,%eax
4010ba: 89 c1 mov %eax,%ecx
4010bc: c1 e9 1f shr $0x1f,%ecx
4010bf: 01 c8 add %ecx,%eax
4010c1: d1 f8 sar %eax
4010c3: 8d 0c 30 lea (%rax,%rsi,1),%ecx
4010c6: 39 f9 cmp %edi,%ecx
4010c8: 7e 0c jle 4010d6 <func4+0x24>
4010ca: 8d 51 ff lea -0x1(%rcx),%edx
4010cd: e8 e0 ff ff ff callq 4010b2 <func4>
4010d2: 01 c0 add %eax,%eax
4010d4: eb 15 jmp 4010eb <func4+0x39>
4010d6: b8 00 00 00 00 mov $0x0,%eax
4010db: 39 f9 cmp %edi,%ecx
4010dd: 7d 0c jge 4010eb <func4+0x39>
4010df: 8d 71 01 lea 0x1(%rcx),%esi
4010e2: e8 cb ff ff ff callq 4010b2 <func4>
4010e7: 8d 44 00 01 lea 0x1(%rax,%rax,1),%eax
4010eb: 5d pop %rbp
4010ec: c3 retq
Phase_4
00000000004010ed <phase_4>:
4010ed: 55 push %rbp
4010ee: 48 89 e5 mov %rsp,%rbp
4010f1: 48 83 ec 10 sub $0x10,%rsp
4010f5: 48 8d 4d fc lea -0x4(%rbp),%rcx
4010f9: 48 8d 55 f8 lea -0x8(%rbp),%rdx
4010fd: be 6d 2a 40 00 mov $0x402a6d,%esi
401102: b8 00 00 00 00 mov $0x0,%eax
401107: e8 a4 fb ff ff callq 400cb0 <__isoc99_sscanf#plt>
40110c: 83 f8 02 cmp $0x2,%eax
40110f: 75 0b jne 40111c <phase_4+0x2f>
401111: 8b 45 f8 mov -0x8(%rbp),%eax
401114: 83 e8 20 sub $0x20,%eax
401117: 83 f8 1e cmp $0x1e,%eax
40111a: 76 05 jbe 401121 <phase_4+0x34>
40111c: e8 b4 05 00 00 callq 4016d5 <explode_bomb>
401121: ba 3e 00 00 00 mov $0x3e,%edx
401126: be 20 00 00 00 mov $0x20,%esi
40112b: 8b 7d f8 mov -0x8(%rbp),%edi
40112e: e8 7f ff ff ff callq 4010b2 <func4>
401133: 83 f8 0e cmp $0xe,%eax
401136: 75 06 jne 40113e <phase_4+0x51>
401138: 83 7d fc 0e cmpl $0xe,-0x4(%rbp)
40113c: 74 05 je 401143 <phase_4+0x56>
40113e: e8 92 05 00 00 callq 4016d5 <explode_bomb>
401143: c9 leaveq
401144: c3 retq