Introduction: Why Does the Computer "Think" Faster Than the Programmer?
\n\nImagine: you spent an evening writing out the Collatz sequence for the number 27 on a piece of paper. Then your colleague wrote a C++ loop that processed a billion numbers in a second. Are you furious? Wait, this is just the beginning.
\n\nIn 2025, an old but very revealing question flared up again on Stack Overflow: "Why does C++ code for testing the Collatz conjecture run faster than hand-written assembly?". It would seem that assembly is pure dialogue with the processor, without intermediaries. How is it that high-level C++ outperforms assembly written by a human?
\n\nLet's break down this paradox using the example of the Collatz conjecture (also known as the 3n+1 problem). You will learn why modern C++ compilers are true time machines, and how to write code in 2025 that is faster than "manual" register management.
\n\nWhat is the Collatz Conjecture and What Does C++ Have to Do With It?
\n\nLet's recall the essence: take any natural number n. If it is even, divide it by 2. If it is odd, multiply it by 3 and add 1. The conjecture states that any number will eventually reach one. The programmer's task is to verify this for as large a range of numbers as possible.
A classic C++ implementation looks like this:
\n\n#include <iostream>\n\nint collatz_steps(long long n) {\n int steps = 0;\n while (n != 1) {\n if (n % 2 == 0) {\n n /= 2;\n } else {\n n = 3 * n + 1;\n }\n ++steps;\n }\n return steps;\n}\n\nint main() {\n long long max_steps = 0;\n long long best_num = 0;\n for (long long i = 1; i <= 1000000; ++i) {\n int s = collatz_steps(i);\n if (s > max_steps) {\n max_steps = s;\n best_num = i;\n }\n }\n std::cout << "Number: " << best_num << " steps: " << max_steps;\n}\n\n\nNothing too complicated, it seems. But it was this simple code that sparked the legendary debate with assembly.
\n\nWhy Does Assembly Lose? The Main Mistakes of 2025
\n\nWhen a developer writes in assembly, they often think: "I know how the processor works, I'll write it perfectly." But modern processors are not just instruction executors. They are complex superscalar pipelines with branch prediction, speculative execution, and cache memory. The C++ compiler (GCC, Clang, MSVC) knows everything about its target architecture.
\n\nMistake #1: Ignoring Branch Optimization
\n\nIn hand-written assembly, the programmer often writes branches "straightforwardly":
\n; Pseudo-assembly\ncheck_even:\n test rax, 1\n jnz is_odd\n shr rax, 1\n jmp next\nis_odd:\n mov rbx, rax\n shl rax, 1\n add rax, rbx\n inc rax\nnext:\n ...\n\nThe C++ compiler with the -O3 flag is smarter. It uses CMOV (conditional move) and bit magic. Instead of branching, it uses arithmetic:
; GCC 14 will generate something like:\n mov rcx, rax\n shr rcx, 1 ; divide by 2 (if even)\n and eax, 1 ; check the least significant bit\n lea rdx, [rax + rcx*2 + 1] ; clever calculation for odd\n test eax, eax\n cmove rax, rcx ; if even - take the division\n cmovne rax, rdx ; if odd - take 3n+1\n\n\nResult: no pipeline stalls due to mispredicted branches. In 2025, this is critical, as the CPU's branch predictor has become smarter, but it is still not perfect for random numbers.
\n\nMistake #2: Forgetting About Vectorization (AVX-512)
\n\nModern C++ compilers (especially Clang 18+ and GCC 14+) automatically vectorize loops. If you write a simple verification loop, the compiler can process 8 numbers per clock cycle, usi