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[Quy Anh] «Elliot» Nguyen
2026-06-19 12:06:29 +02:00
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commit cd94ec06eb
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70_report.pdf
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README.md
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---
## Results
The logs of our benchmarks are stored inside the [`measurements`](./measurements/) folder. However, the log files contain incorrect flop counts since our benchmarking code assumed the same baseline flop count for all versions. Thus, we manually recalculated the flop count for each version and created helper functions for the correct flop counts inside the [`flopcounts`](./flopcounts/) folder. **The final, correct results are stored inside [`analysis/results_x86.csv`](./analysis/results_x86.csv).** [`variant_inlining_8.cpp`](./variants/variant_inlining_8.cpp) is our best non-vectorized version, while [`variant_float_inlining_SoA_AVX512_polyexp_moreavx_ilp_2_rsqrt_morersqrt_improved_moreilp.cpp`](./variants/variant_float_inlining_SoA_AVX512_polyexp_moreavx_ilp_2_rsqrt_morersqrt_improved_moreilp.cpp) is our best vectorized version. The measurements for the best non-vectorized version compiled with flags specifically disabling vectorization are stored at [`4.log`](./measurements/variant_inlining_8/x86/4.log), [`5.log`](./measurements/variant_inlining_8/x86/5.log), and [`6.log`](measurements/variant_inlining_8/x86/6.log). Additionally, the markdown files we have inside [`docs`](./docs/) are outdated and incomplete. Thus, **the final report [`70_report.pdf`](./70_report.pdf) should be used as the sole reference for all of our optimizations**.
## Requirements
The project uses a `Makefile` to simplify building, running, benchmarking, testing, and visualization.
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Side by Side Swipe Overlay

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Width:  |  Height:  |  Size: 92 KiB

After

Width:  |  Height:  |  Size: 91 KiB

analysis/plots.py
+1 -1
View File
@@ -162,7 +162,7 @@ for v, lab, c, ls in tracks:
xpos = None
ends.append((x, y, lab, c, xpos, side))
perf_bound_instruction_mix = 28.19
perf_bound_instruction_mix = 29.33
for yv, t in [
(perf_bound_instruction_mix,
f"Peak π based on instruction mix [{perf_bound_instruction_mix} flops/cycle]"
analysis/results_x86.csv
+7 -7
View File
@@ -268,13 +268,13 @@ variant_inlining_7_symmetry_2_ilp_2,500,200,3461000000,64112.0,269.92,2800723726
variant_inlining_7_symmetry_2_ilp_2,1000,200,13822000000,128112.0,539.45,11627472146.7,1.189
variant_inlining_7_symmetry_2_ilp_2,2000,200,55244000000,256112.0,1078.51,47722643580.0,1.158
variant_inlining_7_symmetry_2_ilp_2,5000,200,345110000000,640112.0,2695.7,316224530286.7,1.091
variant_inlining_8,50,200,36750000,6512.0,28.22,25967831.7,1.415
variant_inlining_8,100,200,145500000,12912.0,56.34,102344446.7,1.422
variant_inlining_8,200,200,579000000,25712.0,112.59,412337820.0,1.404
variant_inlining_8,500,200,3607500000,64112.0,281.34,2712489206.7,1.33
variant_inlining_8,1000,200,14415000000,128112.0,562.59,10911941346.7,1.321
variant_inlining_8,2000,200,57630000000,256112.0,1125.09,44617296533.3,1.292
variant_inlining_8,5000,200,360075000000,640112.0,2812.59,302676303926.7,1.19
variant_inlining_8,50,200,36750000,6512.0,28.22,25930980.8,1.417
variant_inlining_8,100,200,145500000,12912.0,56.34,102418540.0,1.421
variant_inlining_8,200,200,579000000,25712.0,112.59,412514933.3,1.404
variant_inlining_8,500,200,3607500000,64112.0,281.34,2688542773.3,1.342
variant_inlining_8,1000,200,14415000000,128112.0,562.59,10866744550.0,1.327
variant_inlining_8,2000,200,57630000000,256112.0,1125.09,44404254580.0,1.298
variant_inlining_8,5000,200,360075000000,640112.0,2812.59,301663825136.7,1.194
variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt,50,200,42720000,6512.0,32.8,8373508.8,5.102
variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt,100,200,155520000,12912.0,60.22,28637320.0,5.431
variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt,200,200,591360000,25712.0,115.0,104580140.0,5.655
1 variant n n_iter W Q_per_iter I cycles flops_per_cycle
268 variant_inlining_7_symmetry_2_ilp_2 1000 200 13822000000 128112.0 539.45 11627472146.7 1.189
269 variant_inlining_7_symmetry_2_ilp_2 2000 200 55244000000 256112.0 1078.51 47722643580.0 1.158
270 variant_inlining_7_symmetry_2_ilp_2 5000 200 345110000000 640112.0 2695.7 316224530286.7 1.091
271 variant_inlining_8 50 200 36750000 6512.0 28.22 25967831.7 25930980.8 1.415 1.417
272 variant_inlining_8 100 200 145500000 12912.0 56.34 102344446.7 102418540.0 1.422 1.421
273 variant_inlining_8 200 200 579000000 25712.0 112.59 412337820.0 412514933.3 1.404
274 variant_inlining_8 500 200 3607500000 64112.0 281.34 2712489206.7 2688542773.3 1.33 1.342
275 variant_inlining_8 1000 200 14415000000 128112.0 562.59 10911941346.7 10866744550.0 1.321 1.327
276 variant_inlining_8 2000 200 57630000000 256112.0 1125.09 44617296533.3 44404254580.0 1.292 1.298
277 variant_inlining_8 5000 200 360075000000 640112.0 2812.59 302676303926.7 301663825136.7 1.19 1.194
278 variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt 50 200 42720000 6512.0 32.8 8373508.8 5.102
279 variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt 100 200 155520000 12912.0 60.22 28637320.0 5.431
280 variant_inlining_8_SoA_AVX512_polyexp_fastinvsqrt 200 200 591360000 25712.0 115.0 104580140.0 5.655