bend catalog Wave 3 — 15 surveyed forms (2026-06-05)
Adds 15 new GPU primitive forms across domains not covered by Waves 1-2: ZK/SNARK provers, pairing crypto, tensor network contraction, sparse LA, CV primitives, numerical solvers, generic belief propagation, MD/CFD, convex opt, DSP beyond cuFFT, DB aggregations, graph theory beyond triangle/PageRank. Top hits by relevance to our missions: * cuda-mfcc-spectral (97x) — punters-cc, BT-DISC forensics, real-time CC pipeline. unsandbox HIGH. * cuda-batched-lp-simplex (95x over CPLEX) — Prime Mission workstation-to-queue balancing. unsandbox HIGH. * cuda-betweenness-centrality-weighted (30-150x) — workaholic-node detection on dependency DAG, MOAD-0001 model. undefect HIGH. * cuda-hungarian-lap (400M-var LAP ~13s) — workstation balancing. unsandbox HIGH. * cuda-msm-bls12-381 (27.86x) — Pippenger shares branchless modmul shape with our reversible secp256k1 inner loop. ECDSA HIGH. * cuda-tensornet-contract (tensor QR 100x vs Xeon 8480+) — alt to stabilizer/kickmix sim path; MPS/PEPS evaluates reversible secp256k1 circuits beyond Clifford. ECDSA HIGH. * cuda-loopy-bp-mrf (45x) — LBP substrate for FuzzingBrain probabilistic analysis. undefect HIGH. * cuda-ega-gpu-aggregation (6-29x) — defect-corpus aggregation at planetary scale; telemetry queue aggregation. undefect HIGH + unsandbox HIGH. Plus highlight numbers: FluidX3D LBM 100-200x vs ANSYS Fluent, CUDASW++4.0 5.71 TCUPS on H100 for sequence alignment, ICICLE-Snark the fastest Groth16 today. Wave 3 filter-outs noted: AMGX, GROMACS, NVOFA, junction-tree BP, batched L-BFGS — all below 10x or insufficiently general. CATALOG.md mirrors the table for in-repo reading; bend.html renders the public version with reference URLs.
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@ -141,6 +141,39 @@ run on our fleet yet.
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- cuda-batched-mcts — 25-40x on Go-style rollouts; wrong shape for our search
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- cuda-faiss-ann — 5-12x; no embedding workload today
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## Wave 3 — surveyed 2026-06-05
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15 additional forms covering ZK/SNARK provers, pairing crypto,
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tensor network contraction, sparse LA, CV primitives, numerical
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solvers, generic BP, MD/CFD, convex opt, DSP beyond cuFFT, DB
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aggregations, graph theory beyond triangle/PageRank.
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| form | speedup / throughput | hardware | relevance |
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|-----------------------------------|------------------------------------------------|---------------------|-----------|
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| cuda-fluidx3d-lbm | 100-200x vs ANSYS Fluent; 8799 MLUPS A100 | A100 | unsandbox MEDIUM (HPC reproducibility) |
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| cuda-mfcc-spectral | ~97x CPU MFCC; STFT ~75x via cuSignal | GTX 580+ | unsandbox HIGH (punters-cc, BT-DISC forensics) |
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| cuda-batched-lp-simplex | 95x over CPLEX; 5x over GLPK on 100K LPs | GTX 980-class | unsandbox HIGH (resource scheduling, Prime Mission) |
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| cuda-betweenness-centrality-weighted | 30-150x warp-centric weighted BC | GTX+ | undefect HIGH (workaholic-node detection, MOAD-0001) |
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| cuda-cudasift-orb-ransac | ~60x SIFT; 1.2ms on GTX 1060; ORB 11.3x | GTX 1060+ | unsandbox MEDIUM (visual evidence) |
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| cuda-cudasw-gasal2 | CUDASW++4.0 16.2x; 5.71 TCUPS H100; GASAL2 750x | H100 | undefect MEDIUM (binary-diff patch-similarity) |
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| cuda-loopy-bp-mrf | 45x over CPU LBP for stereo MRF | GTX 280+ | undefect HIGH (FuzzingBrain probabilistic analysis) |
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| cuda-sgm-stereo | 42 fps @ 640x480, 128 disparities Tegra X1 | Tegra X1+ | unsandbox MEDIUM (edge node profile) |
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| cuda-hungarian-lap | 400M-var LAP in ~13s; 10-50x class | NVIDIA | unsandbox HIGH (workstation-to-queue balancing); undefect MEDIUM |
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| cuda-msm-bls12-381 | 27.86x over Pippenger RELIC AVX; 60% of Groth16 | A100 / 4090 | ECDSA HIGH (Pippenger shares branchless modmul shape) |
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| cuda-pdwt-lifting | 15.9x over best CPU DWT | GTX / Tesla | unsandbox MEDIUM (audio-IPC analysis) |
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| cuda-tensornet-contract | 8-20x vs CuPy; tensor QR ~100x vs Xeon 8480+ | A100 | ECDSA HIGH (alt to stabilizer/kickmix) |
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| cuda-ega-gpu-aggregation | 6.45-29.12x multi-pass; group-by hash 19.4x | NVIDIA | undefect HIGH (corpus aggregation); unsandbox HIGH (telemetry) |
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| cuda-bicgstab-ilu-spmv | SpTRSV 10.7x; ILU0 BiCGSTAB 3.2x; GMRES 6.9x | V100 / MI210 | ECDSA MEDIUM (sparse LA over GF(p)); undefect MEDIUM |
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| cuda-icicle-snark-groth16 | Fastest Groth16 today; Mina 3x libsnark | RTX 4090 / A100 | ECDSA MEDIUM; undefect MEDIUM (zk-prover defect scanning) |
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### Wave 3 filtered out (below threshold)
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- AMGX algebraic multigrid: 2-5x — below 10x cutoff
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- GROMACS GPU: 2-3x speedup vs CPU — below threshold
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- NVIDIA Optical Flow SDK: 7-10x borderline, dedicated hardware unit
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- Junction-tree BP per-message: 0.68-9.18x — below threshold
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- Batched L-BFGS: 134x reported but single mesh-size case, not generalized
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## Build order — recommended 3-form runway
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1. **A: `cuda-secp256k1-batched-mul`** — biggest immediate win. Drop VanitySearch's CUDA secp256k1 kernel as a BSHK worker; lumbda gets a 6.5 Gkeys/s point-mul oracle. Every candidate validation rides this form. Hardware already owned (3090 + 4090).
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@ -198,6 +198,38 @@ make gpu-worker LUMBDA=asm # smallest footprint</code></pre>
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</tbody>
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</table>
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<h3>Wave 3 — surveyed 2026-06-05</h3>
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<p>15 additional forms spanning ZK / SNARK provers, pairing crypto, tensor network contraction, sparse linear algebra, CV primitives, numerical solvers, generic belief propagation, MD/CFD kernels, convex optimization, DSP beyond cuFFT, DB aggregations, graph theory beyond triangle/PageRank. Sorted by reported speedup or absolute throughput descending.</p>
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<table>
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<thead>
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<tr>
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<th>form</th>
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<th>speedup / throughput</th>
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<th>hardware</th>
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<th>relevance</th>
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<th>ref</th>
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</tr>
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</thead>
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<tbody>
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<tr><td><code>cuda-fluidx3d-lbm</code></td><td><strong>100–200×</strong> vs ANSYS Fluent / OpenFOAM; 8,799 MLUPS single A100</td><td>A100</td><td>unsandbox MEDIUM (HPC reproducibility, OpenCL backend matches our fleet)</td><td><a href="https://github.com/ProjectPhysX/FluidX3D">FluidX3D</a></td></tr>
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<tr><td><code>cuda-mfcc-spectral</code></td><td><strong>~97×</strong> CPU MFCC; STFT ~75× via cuSignal vs SciPy</td><td>GTX 580 / RTX 30-series</td><td><strong>unsandbox HIGH</strong> — punters-cc, BT-DISC forensics, real-time CC pipeline</td><td><a href="https://developer.nvidia.com/blog/accelerated-signal-processing-with-cusignal/">cuSignal</a></td></tr>
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<tr><td><code>cuda-batched-lp-simplex</code></td><td><strong>95×</strong> over CPLEX; 5× over GLPK on a batch of 100K LPs</td><td>GTX 980-class</td><td><strong>unsandbox HIGH</strong> — resource scheduling, Prime Mission workstation balancing</td><td><a href="https://arxiv.org/pdf/1802.08557">arXiv 1802.08557</a></td></tr>
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<tr><td><code>cuda-betweenness-centrality-weighted</code></td><td><strong>30–150×</strong> warp-centric weighted BC</td><td>GTX onwards</td><td><strong>undefect HIGH</strong> — workaholic-node detection on dependency DAG, directly matches MOAD-0001 model</td><td><a href="https://arxiv.org/pdf/1701.05975">arXiv 1701.05975</a></td></tr>
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<tr><td><code>cuda-cudasift-orb-ransac</code></td><td>~60× SIFT CPU→GPU (11 fps 1920×1440); 1.2 ms on GTX 1060; ORB 11.3×</td><td>GTX 1060+</td><td>unsandbox MEDIUM (visual evidence pipeline for incident reports)</td><td><a href="https://github.com/Celebrandil/CudaSift">CudaSift</a></td></tr>
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<tr><td><code>cuda-cudasw-gasal2</code></td><td>CUDASW++4.0 <strong>16.2×</strong> over v3.0; 134× over ADEPT; <strong>5.71 TCUPS on H100</strong>; GASAL2 packing 750× vs NVBio</td><td>H100 (TCUPS)</td><td>undefect MEDIUM (binary-diff & patch-similarity at scale: SW reduces to opcode-sequence diff)</td><td><a href="https://bmcbioinformatics.biomedcentral.com/articles/10.1186/s12859-024-05965-6">CUDASW++4.0</a></td></tr>
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<tr><td><code>cuda-loopy-bp-mrf</code></td><td><strong>45×</strong> over CPU LBP for stereo MRF inference</td><td>GTX 280-class+</td><td><strong>undefect HIGH</strong> — LBP substrate for FuzzingBrain-style probabilistic program analysis</td><td><a href="https://arxiv.org/pdf/2509.22337">arXiv 2509.22337</a></td></tr>
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<tr><td><code>cuda-sgm-stereo</code></td><td><strong>42 fps</strong> at 640×480 with 128 disparities on Tegra X1; 46 fps on discrete GPUs</td><td>Tegra X1 / discrete</td><td>unsandbox MEDIUM (embedded ARM+CUDA matches our edge node profile)</td><td><a href="https://arxiv.org/abs/1610.04121">arXiv 1610.04121</a></td></tr>
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<tr><td><code>cuda-hungarian-lap</code></td><td>10–50× class; 400 M-variable LAP in <strong>~13 s</strong></td><td>NVIDIA GPU</td><td><strong>unsandbox HIGH</strong> — workstation-to-queue balancing per Prime Mission; defect-cluster ↔ patch-bundle assignment for undefect</td><td><a href="https://www.sciencedirect.com/science/article/abs/pii/S016781911630045X">ScienceDirect</a></td></tr>
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<tr><td><code>cuda-msm-bls12-381</code></td><td><strong>27.86×</strong> over Pippenger (RELIC) AVX baseline; 60% of Groth16 prover time on single GPU</td><td>A100 / RTX 4090</td><td><strong>ECDSA HIGH</strong> — Pippenger bucket sort + multi-G1 arithmetic shares branchless modmul shape with our reversible secp256k1 inner loop</td><td><a href="https://tches.iacr.org/index.php/TCHES/article/download/12061/11906/13930">SimdMSM TCHES</a></td></tr>
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<tr><td><code>cuda-pdwt-lifting</code></td><td><strong>15.9×</strong> over best optimized CPU DWT (lifting scheme)</td><td>GTX / Tesla</td><td>unsandbox MEDIUM (audio-IPC payload analysis, BT signal denoising)</td><td><a href="https://github.com/pierrepaleo/PDWT">PDWT</a></td></tr>
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<tr><td><code>cuda-tensornet-contract</code></td><td>8–20× vs CuPy on contraction; tensor QR <strong>~100×</strong> vs Xeon 8480+; tensor SVD ~10×</td><td>A100</td><td><strong>ECDSA HIGH</strong> — alternative to stabilizer/kickmix sim path; MPS/PEPS evaluates reversible secp256k1 circuits beyond Clifford</td><td><a href="https://docs.nvidia.com/cuda/cuquantum/latest/cutensornet/index.html">cuTensorNet</a></td></tr>
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<tr><td><code>cuda-ega-gpu-aggregation</code></td><td><strong>6.45–29.12×</strong> over CPU multi-pass EGA; group-by hash 19.4×</td><td>NVIDIA GPU</td><td><strong>undefect HIGH</strong> — defect-corpus aggregation at planetary scale; unsandbox HIGH — telemetry queue aggregation</td><td><a href="https://www.vldb.org/pvldb/vol17/p644-siddiqui.pdf">VLDB Top-k EGA</a></td></tr>
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<tr><td><code>cuda-bicgstab-ilu-spmv</code></td><td>SpTRSV 10.7×; ILU0 BiCGSTAB 3.2× vs cuSPARSE on MI210; GMRES(30) block-ISAI 1.4–6.9×</td><td>V100 / MI210</td><td>ECDSA MEDIUM (sparse LA over GF(p) underpins lattice / index-calc); undefect MEDIUM (spectral analysis on DAG)</td><td><a href="https://arxiv.org/pdf/2508.04917">arXiv 2508.04917</a></td></tr>
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<tr><td><code>cuda-icicle-snark-groth16</code></td><td>ICICLE-Snark fastest Groth16 today; Mina GPU 3× over libsnark; NTT 91% of prover at large sizes</td><td>RTX 4090 / A100</td><td>ECDSA MEDIUM (zk + MSM stack shares finite-field discipline); undefect MEDIUM (zk-prover defect scanning)</td><td><a href="https://www.ingonyama.com/post/icicle-snark-the-fastest-groth16-implementation-in-the-world">ICICLE-Snark</a></td></tr>
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</tbody>
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</table>
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<p><strong>Wave 3 filter-outs:</strong> AMGX algebraic multigrid (2–5×), GROMACS GPU (2–3×), NVOFA optical flow (7–10× borderline, dedicated hardware unit), Junction-tree BP per-message (0.68–9.18×), batched L-BFGS (134× single-case, not generalized). All below 10× or insufficiently general; revisit when shape changes.</p>
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<h3>Skipped — revisit when shape changes</h3>
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<ul>
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<li><strong>Argon2 / scrypt</strong>: ~1000 H/s on Tesla K20X is the <em>whole point</em> of memory-hard KDFs. Not a speedup story; only worth listing in an attack-surface doc.</li>
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