feat: improve diffusion geometry

[Autoparallel]

No description provided.

[github-actions]

Perf Smoke Report

Baseline ref: main
Baseline: 78ae77b055ff423dcb4d15aa95f6e25e265e77b6
Backend: parallel
Threads: 4

PR smoke: bench_geometry (baseline 78ae77b)

• Baseline source: artifacts/perf/base/bench_geometry_base.txt
• Current source: artifacts/perf/head/bench_geometry_head.txt
• Baseline commit: 78ae77b055ff423dcb4d15aa95f6e25e265e77b6
• Comparable benchmarks: 16/16
• Improved: 12 | Regressed: 4

Top Wins

Benchmark	Baseline	Current	Delta
bench_geometry_topology_ms/250x250	6.500 ms	3.568 ms	-45.11%
bench_geometry_topology_ms/1000x1000	102.396 ms	58.265 ms	-43.10%
bench_geometry_topology_ms/500x500	25.775 ms	14.862 ms	-42.34%
bench_geometry_frame_ms/250x250	13.888 ms	10.679 ms	-23.11%
bench_geometry_frame_ms/1000x1000	224.804 ms	175.746 ms	-21.82%

Top Regressions

Benchmark	Baseline	Current	Delta
bench_geometry_flow_ms/500x500	2.681 ms	3.440 ms	+28.31%
bench_geometry_flow_ms/1000x1000	10.651 ms	11.621 ms	+9.11%
bench_geometry_curvature_ms/500x500	27.482 ms	28.607 ms	+4.09%
bench_geometry_flow_ms/250x250	493.000 us	497.000 us	+0.81%

Full Comparison

Benchmark	Baseline	Current	Delta	Status
bench_geometry_curvature_ms/1000x1000	111.757 ms	105.860 ms	-5.28%	improved
bench_geometry_curvature_ms/100x100	1.142 ms	1.100 ms	-3.68%	improved
bench_geometry_curvature_ms/250x250	6.895 ms	6.614 ms	-4.08%	improved
bench_geometry_curvature_ms/500x500	27.482 ms	28.607 ms	+4.09%	regressed
bench_geometry_flow_ms/1000x1000	10.651 ms	11.621 ms	+9.11%	regressed
bench_geometry_flow_ms/100x100	84.000 us	75.000 us	-10.71%	improved
bench_geometry_flow_ms/250x250	493.000 us	497.000 us	+0.81%	regressed
bench_geometry_flow_ms/500x500	2.681 ms	3.440 ms	+28.31%	regressed
bench_geometry_frame_ms/1000x1000	224.804 ms	175.746 ms	-21.82%	improved
bench_geometry_frame_ms/100x100	1.658 ms	1.604 ms	-3.26%	improved
bench_geometry_frame_ms/250x250	13.888 ms	10.679 ms	-23.11%	improved
bench_geometry_frame_ms/500x500	55.938 ms	46.909 ms	-16.14%	improved
bench_geometry_topology_ms/1000x1000	102.396 ms	58.265 ms	-43.10%	improved
bench_geometry_topology_ms/100x100	432.000 us	429.000 us	-0.69%	improved
bench_geometry_topology_ms/250x250	6.500 ms	3.568 ms	-45.11%	improved
bench_geometry_topology_ms/500x500	25.775 ms	14.862 ms	-42.34%	improved

PR smoke: bench_dod (baseline 78ae77b)

• Baseline source: artifacts/perf/base/bench_dod_base.json
• Current source: artifacts/perf/head/bench_dod_head.json
• Baseline commit: 78ae77b055ff423dcb4d15aa95f6e25e265e77b6
• Comparable benchmarks: 12/12
• Improved: 4 | Regressed: 8

Top Wins

Benchmark	Baseline	Current	Delta
bench_markov_multi_step/2000/20	832.649 us	803.337 us	-3.52%
bench_mesh_topology_build/400	8.740 ms	8.650 ms	-1.03%
bench_markov_multi_step/20000/20	8.712 ms	8.639 ms	-0.83%
bench_markov_step/2000	40.306 us	40.119 us	-0.46%

Top Regressions

Benchmark	Baseline	Current	Delta
bench_diffusion_build/2000	1.924 ms	47.857 ms	+2387.16%
bench_curl_energy/2000/16	5.666 ms	11.711 ms	+106.70%
bench_weak_derivative/2000/16	1.444 ms	2.889 ms	+100.01%
bench_1form_gram/2000/16	519.824 us	925.051 us	+77.95%
bench_hodge_solve/2000/16	136.157 us	236.308 us	+73.56%

Full Comparison

Benchmark	Baseline	Current	Delta	Status
bench_1form_gram/2000/16	519.824 us	925.051 us	+77.95%	regressed
bench_curl_energy/2000/16	5.666 ms	11.711 ms	+106.70%	regressed
bench_curvature_kernel/400	14.407 ms	16.763 ms	+16.35%	regressed
bench_diffusion_build/2000	1.924 ms	47.857 ms	+2387.16%	regressed
bench_eigenbasis/2000/16	25.046 ms	31.738 ms	+26.72%	regressed
bench_flow_kernel/400	3.619 ms	3.703 ms	+2.33%	regressed
bench_hodge_solve/2000/16	136.157 us	236.308 us	+73.56%	regressed
bench_markov_multi_step/2000/20	832.649 us	803.337 us	-3.52%	improved
bench_markov_multi_step/20000/20	8.712 ms	8.639 ms	-0.83%	improved
bench_markov_step/2000	40.306 us	40.119 us	-0.46%	improved
bench_mesh_topology_build/400	8.740 ms	8.650 ms	-1.03%	improved
bench_weak_derivative/2000/16	1.444 ms	2.889 ms	+100.01%	regressed

PR smoke: bench_pipelines (baseline 78ae77b)

• Baseline source: artifacts/perf/base/bench_pipelines_base.json
• Current source: artifacts/perf/head/bench_pipelines_head.json
• Baseline commit: 78ae77b055ff423dcb4d15aa95f6e25e265e77b6
• Comparable benchmarks: 11/11
• Improved: 0 | Regressed: 11

Top Regressions

Benchmark	Baseline	Current	Delta
bench_hodge_phase_circular	25.848 ms	1.093 s	+4127.79%
bench_hodge_phase_topology	3.863 ms	95.245 ms	+2365.44%
bench_pipeline_diffusion_main/20	4.995 ms	60.240 ms	+1106.06%
bench_pipeline_diffusion_main/100	9.302 ms	64.185 ms	+590.00%
bench_pipeline_hodge_main	577.778 ms	2.130 s	+268.71%

Full Comparison

Benchmark	Baseline	Current	Delta	Status
bench_hodge_phase_circular	25.848 ms	1.093 s	+4127.79%	regressed
bench_hodge_phase_curl_energy	128.532 ms	271.649 ms	+111.35%	regressed
bench_hodge_phase_eigenbasis	390.313 ms	622.358 ms	+59.45%	regressed
bench_hodge_phase_gram	5.619 ms	6.398 ms	+13.86%	regressed
bench_hodge_phase_solve	4.540 ms	8.094 ms	+78.29%	regressed
bench_hodge_phase_topology	3.863 ms	95.245 ms	+2365.44%	regressed
bench_hodge_phase_weak_derivative	14.258 ms	26.063 ms	+82.79%	regressed
bench_pipeline_diffusion_main/100	9.302 ms	64.185 ms	+590.00%	regressed
bench_pipeline_diffusion_main/20	4.995 ms	60.240 ms	+1106.06%	regressed
bench_pipeline_hodge_main	577.778 ms	2.130 s	+268.71%	regressed
bench_pipeline_spectral_main	36.801 ms	126.233 ms	+243.01%	regressed