[Python][Relax] Fix YaRN correction dim calculation

[akaashrp]

Replace expressions with TIR constructs

[gemini-code-assist]

Summary of Changes

Hello @akaashrp, I'm Gemini Code Assist¹! I'm currently reviewing this pull request and will post my feedback shortly. In the meantime, here's a summary to help you and other reviewers quickly get up to speed!

This pull request addresses an issue in the YaRN correction dimension calculation within the TVM Relax frontend. The primary goal is to align the mathematical operations with TVM's Tensor IR (TIR) framework by replacing native Python math functions with their TIR equivalents. This modification is crucial for ensuring that these calculations are correctly represented and optimized when compiled by TVM, thereby improving the overall robustness and performance of the YaRN position embedding implementation.

Highlights

• YaRN Correction Dimension Calculation: The yarn_find_correction_dim function has been updated to replace standard Python math.log calls with TVM's Tensor IR (TIR) constructs, specifically tir.log and tir.const. This change ensures that the numerical operations are properly integrated into the TVM compilation graph.

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[gemini-code-assist]

Code Review

This pull request refactors the yarn_find_correction_dim function to use TIR constructs (tir.log, tir.const) instead of Python's math functions. This change ensures that the logarithmic computations are represented within the TIR expression graph, which is the correct approach for building symbolic computations in TVM. The change is correct and improves the consistency of the codebase. I have no further comments.

[Liberatedwinner]

I noticed an issue with this change.
When using Metal, I encountered the following error:
tvm.error.InternalError: Fail to compile metal source:program_source:20:61: error: call to 'log' is ambiguous
Could you take a look?

[akaashrp]

@Liberatedwinner are there specific models or commands for which you run into this issue?

[Liberatedwinner]

Please run the code file I attached.
test_tir_log.py

The result of test code is:

============================================================
PR version (tir.log)
============================================================
low: T.max(T.float32(128.0) * T.log(T.float32(20.371832715762604)) / (T.float32(2.0) * T.log(T.float32(10000.0))), T.float32(0.0))
high: T.min(T.float32(128.0) * T.log(T.float32(651.89864690440334)) / (T.float32(2.0) * T.log(T.float32(10000.0))), T.float32(127.0))

============================================================
Original version (math.log)
============================================================
low: T.float32(20.944481620636051)
high: T.float32(45.026881273754547)

Using tir.log instead of math.log in yarn_find_correction_dim causes Metal codegen to fail with call to 'log' is ambiguous.

tir.log creates a symbolic expression (e.g., T.log(T.float32(20.3718...))) that remains in the IR and gets compiled into Metal shader code.
Metal Shading Language has multiple overloads for math functions (float, half, etc.), and the compiler cannot resolve which one to use.
See: Metal Shading Language Specification (Section 6.5 "Math Functions" and Table 6.4)

[akaashrp]

I'm able to see that the outputs look different for the PR version and the original version. However, I'm also able to compile models that use YaRN without issue on metal. Could you point me to a codegen path I could run so that I can arrive at the call to 'log' is ambiguous error you mentioned?

[Liberatedwinner]

Would you mind checking the error with this file?
test_tir_log.py