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CUDA kernel: ramanujan-machine-cuda
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metadata
license: mit
tags:
  - kernels
  - cuda
  - ramanujan-machine
  - continued-fractions
  - mathematical-constants
  - number-theory
datasets:
  - cahlen/ramanujan-machine-results

Ramanujan Machine v2 (Asymmetric-Degree CF Search)

Searches for polynomial continued fraction formulas with asymmetric degrees. Evaluates CF candidates and matches against known mathematical constants.

Usage

import torch
from kernels import get_kernel

kernel = get_kernel("cahlen/ramanujan-machine-cuda")
result = ramanujan.search(deg_a=1, deg_b=2, range_a=10, range_b=10)

Compile (standalone)

nvcc -O3 -arch=sm_90 -o ramanujan_machine ramanujan/ramanujan_v2.cu -lm

Results

All computation results are open:

Citation

@misc{humphreys2026bigcompute,
  author = {Humphreys, Cahlen},
  title = {bigcompute.science: GPU-Accelerated Computational Mathematics},
  year = {2026},
  url = {https://bigcompute.science}
}

Human-AI collaborative. Not peer-reviewed. All code and data open.