A Domain-Specific Language for the Generation of Optimized SIMD-Parallel Assembly Code
Bibliographic record
Abstract
We present a domain-specific language embedded into Haskell that allows mathematicians to formulate novel high-performance SIMD-parallel algorithms for the evaluation of special functions. Developing such functions involves explorations both of mathematical properties of the functions which lead to effective (rational) polynomial approximations, and of specific properties of the binary representation of floating point numbers. Our framework includes support for estimating the effectiveness of different approximation schemes in Maple. Once a scheme is chosen, the Maple-generated component is integrated into the code generation setup. Numerical experimentation can then be performed interactively, with support functions for running standard tests and tabulating results. Once a satisfactory formulation is achieved, a codegraph representation of the algorithm can be passed to other components which produce C function bodies, or to a state-of-the-art scheduler which produces optimal or near-optimal schedules, currently targetting the “Cell Broadband Engine” processor. Encapsulating a considerable amount of knowledge about specific “tricks” in DSL constructs allows us produce algorithm specifications that are precise, readable, and compile to optimal-quality assembly code, while formulations of the equivalent algorithms in C would be almost impossible to understand and maintain. General Terms Domain-specific languages, Synthesis from specifications, Industrial applications
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How this classification was reachedexpand
Full frame distilled prediction
Teacher imitationNot calibrated prevalence, not ground truth. Human validation pending. Learned from the 10,348 direct Codex labels and 10,348 direct Gemma labels. Candidate is the union of thresholded teacher heads; consensus is their intersection. These outputs are machine_predicted_unvalidated and are not human labels or direct frontier model labels.
Codex and Gemma teacher scores by category
| Category | Codex | Gemma |
|---|---|---|
| Metaresearch | 0.001 | 0.000 |
| Meta-epidemiology (narrow) | 0.000 | 0.000 |
| Meta-epidemiology (broad) | 0.000 | 0.000 |
| Bibliometrics | 0.000 | 0.000 |
| Science and technology studies | 0.000 | 0.000 |
| Scholarly communication | 0.000 | 0.000 |
| Open science | 0.000 | 0.000 |
| Research integrity | 0.000 | 0.000 |
| Insufficient payload (model declined to judge) | 0.000 | 0.000 |
Machine scores (provisional)
The two teacher heads of the student model, read on this work. A score orders the frame for review; it never asserts a category, and the validation status ships verbatim with every row.
Baseline scores from an immature model (maturity gate not passed, 7 training rounds). Scores rank; they never assert a category.
score_only:v0-immature-baseline · verbatim from the scoring run: score_only means the number may rank works, and no category label ships from itClassification
machine, unvalidatedMachine predicted; a candidate call from one teacher head, not a consensus.
How this classification was reached, model by model and score by score, is at the end of the page under "How this classification was reached".