When using GCC/clang SIMD extensions in C (or Rust nightly), the implementation of sin4f and sin8f are line by line equal, with the exception of types. You can work around this with templates/generics.
The sin function is entirely basic arithmetic operations, no fancy instructions are needed (at least for the "computer graphics quality" 32 bit sine function I am using).
Contrast this with intrinsics where the programmer needs to explicitly choose the mm128 or mm256 instruction even for trivial stuff like addition and other arithmetic.
Similarly, a 4x4 matrix multiplication function is the exact same code for 64 bit double and 32 bit float if you're using built in SIMD. A bit of generics and no duplication is needed. Where as intrinsics again needs two separate implementations.
I understand that there are cases where intrinsics are required, or can deliver better performance but both C/C++ and Rust have zero cost fallback to intrinsics. You can "convert" between f32x4 and mm128 at zero cost (no instructions emitted, just compiler type information).
I do use some intrinsics in my SIMD code this way (rsqrt, rcp, ...). The CPU specific code is just a few percent of the overall lines of code, and that's for Arm and x86 combined.
The killer feature is that my code will compile into x86_64/SSE and Aarch64/neon. And I can use wider vectors than the CPU actually supports, the compiler knows how to break it down to what the target CPU supports.
I'm hoping that Rust std::simd would get stabilized soon, I've used it for many years and it works great. And when it doesn't I have a zero cost fallback to intrinsics.
Some very respected people have the opinion that std::simd or its C equivalent suffer from a "least common denominator problem". I don't disagree with the issue but I don't think it really matters when we have a zero cost fallback available.