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Automatic build\nPublished by build of: SciML/SciMLBenchmarks.jl@43bb152
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JuliaLangBuildkite committed Oct 20, 2024
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132 changes: 66 additions & 66 deletions markdown/DynamicalODE/Henon-Heiles_energy_conservation_benchmark.md
Original file line number Diff line number Diff line change
Expand Up @@ -155,17 +155,17 @@ compare(tmax=1e2)
```

```
59.568348 seconds (147.81 M allocations: 8.578 GiB, 7.75% gc time, 99.98%
58.546840 seconds (147.79 M allocations: 8.576 GiB, 8.16% gc time, 99.98%
compilation time)
1.958881 seconds (2.84 M allocations: 185.312 MiB, 99.57% compilation tim
2.001076 seconds (2.86 M allocations: 187.401 MiB, 99.63% compilation tim
e)
1.944865 seconds (2.47 M allocations: 159.286 MiB, 99.45% compilation tim
1.961803 seconds (2.47 M allocations: 159.314 MiB, 99.48% compilation tim
e)
32.999796 seconds (91.62 M allocations: 5.503 GiB, 10.52% gc time, 99.99%
33.035525 seconds (91.62 M allocations: 5.503 GiB, 10.60% gc time, 99.99%
compilation time)
3.094579 seconds (2.54 M allocations: 164.635 MiB, 99.96% compilation tim
3.121536 seconds (2.54 M allocations: 164.655 MiB, 99.97% compilation tim
e)
1.509824 seconds (2.07 M allocations: 141.273 MiB, 99.94% compilation tim
1.550368 seconds (2.07 M allocations: 141.264 MiB, 99.95% compilation tim
e)
Vern9 + ManifoldProjection max energy error: 3.3306690738754696e-16 in 1881
steps.
Expand All @@ -184,12 +184,12 @@ compare(tmax=1e3)
```

```
0.072443 seconds (1.03 M allocations: 68.887 MiB)
0.072640 seconds (700.10 k allocations: 61.899 MiB)
0.101531 seconds (700.10 k allocations: 61.901 MiB)
0.034456 seconds (336.05 k allocations: 20.400 MiB)
0.005621 seconds (75.92 k allocations: 3.178 MiB)
0.000568 seconds (2.02 k allocations: 759.797 KiB)
0.071345 seconds (1.03 M allocations: 68.887 MiB)
0.071897 seconds (700.10 k allocations: 61.899 MiB)
0.100565 seconds (700.10 k allocations: 61.901 MiB)
0.033733 seconds (336.05 k allocations: 20.400 MiB)
0.005638 seconds (75.92 k allocations: 3.178 MiB)
0.000551 seconds (2.02 k allocations: 759.797 KiB)
Vern9 + ManifoldProjection max energy error: 4.191091917959966e-15 in 18659
steps.
KahanLi8 max energy error: 1.815214645262131e-14 in 100002 steps.
Expand All @@ -207,12 +207,12 @@ compare(tmax=1e4)
```

```
0.866775 seconds (10.25 M allocations: 684.202 MiB)
0.808364 seconds (7.00 M allocations: 579.841 MiB)
1.131086 seconds (7.00 M allocations: 579.843 MiB)
0.327265 seconds (3.36 M allocations: 204.601 MiB)
0.048427 seconds (756.45 k allocations: 33.046 MiB)
0.000615 seconds (2.02 k allocations: 759.797 KiB)
0.839558 seconds (10.25 M allocations: 684.202 MiB)
0.812455 seconds (7.00 M allocations: 579.841 MiB)
1.120870 seconds (7.00 M allocations: 579.843 MiB)
0.323428 seconds (3.36 M allocations: 204.601 MiB)
0.047611 seconds (756.45 k allocations: 33.046 MiB)
0.000566 seconds (2.02 k allocations: 759.797 KiB)
Vern9 + ManifoldProjection max energy error: 4.565792188770956e-14 in 18642
9 steps.
KahanLi8 max energy error: 3.161360062620133e-14 in 1000001 steps.
Expand All @@ -230,13 +230,13 @@ compare(tmax=5e4)
```

```
9.622768 seconds (51.42 M allocations: 3.332 GiB, 54.24% gc time, 1.09% c
9.537368 seconds (51.42 M allocations: 3.332 GiB, 54.79% gc time, 1.16% c
ompilation time)
16.960210 seconds (35.00 M allocations: 2.831 GiB, 75.61% gc time)
30.467845 seconds (35.00 M allocations: 2.831 GiB, 81.53% gc time)
8.159885 seconds (16.78 M allocations: 1009.011 MiB, 79.62% gc time)
0.254376 seconds (3.78 M allocations: 158.555 MiB)
0.000596 seconds (2.02 k allocations: 759.797 KiB)
16.939749 seconds (35.00 M allocations: 2.831 GiB, 75.51% gc time)
30.364258 seconds (35.00 M allocations: 2.831 GiB, 81.54% gc time)
8.093822 seconds (16.78 M allocations: 1009.011 MiB, 79.91% gc time)
0.250544 seconds (3.78 M allocations: 158.555 MiB)
0.000572 seconds (2.02 k allocations: 759.797 KiB)
Vern9 + ManifoldProjection max energy error: 1.0000333894311098e-13 in 9320
89 steps.
KahanLi8 max energy error: 1.2331802246023926e-13 in 5000001 steps.
Expand Down Expand Up @@ -286,12 +286,12 @@ in_vs_out(all=true, tmax=1e3)

```
In place versions:
0.087230 seconds (1.03 M allocations: 68.887 MiB, 17.20% gc time)
0.071705 seconds (700.10 k allocations: 61.899 MiB)
0.103054 seconds (700.10 k allocations: 61.901 MiB)
0.033839 seconds (336.05 k allocations: 20.400 MiB)
0.005615 seconds (75.92 k allocations: 3.178 MiB)
0.000622 seconds (2.02 k allocations: 759.797 KiB)
0.084471 seconds (1.03 M allocations: 68.887 MiB, 17.42% gc time)
0.071290 seconds (700.10 k allocations: 61.899 MiB)
0.100508 seconds (700.10 k allocations: 61.901 MiB)
0.032952 seconds (336.05 k allocations: 20.400 MiB)
0.005559 seconds (75.92 k allocations: 3.178 MiB)
0.000583 seconds (2.02 k allocations: 759.797 KiB)
Vern9 + ManifoldProjection max energy error: 4.191091917959966e-15 in 18659
steps.
KahanLi8 max energy error: 1.815214645262131e-14 in 100002 steps.
Expand All @@ -301,13 +301,13 @@ DPRKN12 max energy error: 8.604228440844963e-16 in 3787 steps.
TaylorMethod max energy error: 0.0 in 2 steps.
Out of place versions:
1.180774 seconds (2.29 M allocations: 169.594 MiB, 97.90% compilation tim
1.210670 seconds (2.26 M allocations: 167.566 MiB, 97.91% compilation tim
e)
0.620410 seconds (891.40 k allocations: 73.514 MiB, 94.37% compilation ti
0.629731 seconds (891.40 k allocations: 73.518 MiB, 94.38% compilation ti
me)
1.234882 seconds (2.57 M allocations: 139.222 MiB, 99.69% compilation tim
1.231011 seconds (2.57 M allocations: 139.247 MiB, 99.74% compilation tim
e)
0.738632 seconds (865.36 k allocations: 56.243 MiB, 99.78% compilation ti
0.755808 seconds (865.35 k allocations: 56.240 MiB, 99.78% compilation ti
me)
KahanLi8 max energy error: 1.815214645262131e-14 in 100002 steps.
SofSpa10 max energy error: 2.8033131371785203e-14 in 100002 steps.
Expand All @@ -329,20 +329,20 @@ in_vs_out(tmax=1e2)

```
In place versions:
0.007292 seconds (70.09 k allocations: 5.806 MiB)
0.009787 seconds (70.09 k allocations: 5.808 MiB)
0.002970 seconds (34.04 k allocations: 2.090 MiB)
0.000591 seconds (7.88 k allocations: 357.234 KiB)
0.007174 seconds (70.09 k allocations: 5.806 MiB)
0.009835 seconds (70.09 k allocations: 5.808 MiB)
0.002916 seconds (34.04 k allocations: 2.090 MiB)
0.000601 seconds (7.88 k allocations: 357.234 KiB)
KahanLi8 max energy error: 4.9404924595819466e-15 in 10001 steps.
SofSpa10 max energy error: 5.440092820663267e-15 in 10001 steps.
Vern9 max energy error: 3.3306690738754696e-16 in 941 steps.
DPRKN12 max energy error: 1.942890293094024e-16 in 385 steps.
Out of place versions:
0.002604 seconds (10.02 k allocations: 1.681 MiB)
0.003592 seconds (10.02 k allocations: 1.682 MiB)
0.000570 seconds (971 allocations: 500.484 KiB)
0.000239 seconds (412 allocations: 99.281 KiB)
0.002656 seconds (10.02 k allocations: 1.681 MiB)
0.003554 seconds (10.02 k allocations: 1.682 MiB)
0.000564 seconds (971 allocations: 500.484 KiB)
0.000247 seconds (412 allocations: 99.281 KiB)
KahanLi8 max energy error: 4.9404924595819466e-15 in 10001 steps.
SofSpa10 max energy error: 5.440092820663267e-15 in 10001 steps.
Vern9 max energy error: 3.3306690738754696e-16 in 941 steps.
Expand All @@ -358,20 +358,20 @@ in_vs_out(tmax=1e3)

```
In place versions:
0.071689 seconds (700.10 k allocations: 61.899 MiB)
0.097740 seconds (700.10 k allocations: 61.901 MiB)
0.027658 seconds (336.05 k allocations: 20.400 MiB)
0.004813 seconds (75.92 k allocations: 3.178 MiB)
0.069461 seconds (700.10 k allocations: 61.899 MiB)
0.097867 seconds (700.10 k allocations: 61.901 MiB)
0.026797 seconds (336.05 k allocations: 20.400 MiB)
0.004716 seconds (75.92 k allocations: 3.178 MiB)
KahanLi8 max energy error: 1.815214645262131e-14 in 100002 steps.
SofSpa10 max energy error: 2.8033131371785203e-14 in 100002 steps.
Vern9 max energy error: 4.191091917959966e-15 in 9330 steps.
DPRKN12 max energy error: 8.604228440844963e-16 in 3787 steps.
Out of place versions:
0.024247 seconds (100.03 k allocations: 21.886 MiB)
0.035314 seconds (100.03 k allocations: 21.887 MiB)
0.003854 seconds (9.37 k allocations: 4.464 MiB)
0.001707 seconds (3.82 k allocations: 803.469 KiB)
0.025062 seconds (100.03 k allocations: 21.886 MiB)
0.035032 seconds (100.03 k allocations: 21.887 MiB)
0.003396 seconds (9.37 k allocations: 4.464 MiB)
0.001789 seconds (3.82 k allocations: 803.469 KiB)
KahanLi8 max energy error: 1.815214645262131e-14 in 100002 steps.
SofSpa10 max energy error: 2.8033131371785203e-14 in 100002 steps.
Vern9 max energy error: 4.496403249731884e-15 in 9330 steps.
Expand All @@ -387,20 +387,20 @@ in_vs_out(tmax=1e4)

```
In place versions:
0.822362 seconds (7.00 M allocations: 579.841 MiB)
1.137964 seconds (7.00 M allocations: 579.843 MiB)
0.328671 seconds (3.36 M allocations: 204.601 MiB)
0.048769 seconds (756.45 k allocations: 33.046 MiB)
0.804157 seconds (7.00 M allocations: 579.841 MiB)
1.130151 seconds (7.00 M allocations: 579.843 MiB)
0.321504 seconds (3.36 M allocations: 204.601 MiB)
0.048060 seconds (756.45 k allocations: 33.046 MiB)
KahanLi8 max energy error: 3.161360062620133e-14 in 1000001 steps.
SofSpa10 max energy error: 1.136590821460004e-13 in 1000001 steps.
Vern9 max energy error: 4.565792188770956e-14 in 93215 steps.
DPRKN12 max energy error: 8.465450562766819e-15 in 37813 steps.
Out of place versions:
0.256995 seconds (1.00 M allocations: 167.849 MiB)
0.393114 seconds (1.00 M allocations: 167.850 MiB)
0.048798 seconds (93.26 k allocations: 45.374 MiB)
0.016737 seconds (37.85 k allocations: 10.021 MiB)
0.264740 seconds (1.00 M allocations: 167.849 MiB)
0.390170 seconds (1.00 M allocations: 167.850 MiB)
0.043994 seconds (93.26 k allocations: 45.374 MiB)
0.017244 seconds (37.85 k allocations: 10.021 MiB)
KahanLi8 max energy error: 3.161360062620133e-14 in 1000001 steps.
SofSpa10 max energy error: 1.136590821460004e-13 in 1000001 steps.
Vern9 max energy error: 4.4797499043625066e-14 in 93215 steps.
Expand All @@ -416,20 +416,20 @@ in_vs_out(tmax=5e4)

```
In place versions:
10.456493 seconds (35.00 M allocations: 2.831 GiB, 59.93% gc time)
20.507787 seconds (35.00 M allocations: 2.831 GiB, 72.56% gc time)
6.859415 seconds (16.78 M allocations: 1009.011 MiB, 76.10% gc time)
0.254555 seconds (3.78 M allocations: 158.555 MiB)
10.397498 seconds (35.00 M allocations: 2.831 GiB, 60.21% gc time)
20.513824 seconds (35.00 M allocations: 2.831 GiB, 72.58% gc time)
6.801577 seconds (16.78 M allocations: 1009.011 MiB, 76.28% gc time)
0.269833 seconds (3.78 M allocations: 158.555 MiB)
KahanLi8 max energy error: 1.2331802246023926e-13 in 5000001 steps.
SofSpa10 max energy error: 1.5035195310986182e-13 in 5000001 steps.
Vern9 max energy error: 2.179090241583026e-13 in 466046 steps.
DPRKN12 max energy error: 3.5388358909926865e-14 in 189039 steps.
Out of place versions:
2.179697 seconds (5.00 M allocations: 839.236 MiB, 36.28% gc time)
2.256531 seconds (5.00 M allocations: 839.237 MiB, 14.18% gc time)
0.228200 seconds (466.10 k allocations: 208.068 MiB)
0.083255 seconds (189.09 k allocations: 39.705 MiB)
2.213061 seconds (5.00 M allocations: 839.236 MiB, 35.13% gc time)
2.283410 seconds (5.00 M allocations: 839.237 MiB, 14.62% gc time)
0.202858 seconds (466.10 k allocations: 208.068 MiB)
0.083438 seconds (189.09 k allocations: 39.705 MiB)
KahanLi8 max energy error: 1.2331802246023926e-13 in 5000001 steps.
SofSpa10 max energy error: 1.5035195310986182e-13 in 5000001 steps.
Vern9 max energy error: 2.246258734572848e-13 in 466047 steps.
Expand Down
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