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Automatic build\nPublished by build of: SciML/SciMLTutorials.jl@d18f9a9
1 parent 3222b77 commit 969234b

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html/perturbation/01-perturbation_algebraic.html

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@@ -888,8 +888,8 @@ <h2>Solving the Quintic</h2>
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<pre class="output">
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Dict&#123;Any, Any&#125; with 2 entries:
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a₁ &#61;&gt; -0.2
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a₂ &#61;&gt; -0.04
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a₁ &#61;&gt; -0.2
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</pre>
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@@ -1015,11 +1015,11 @@ <h2>Solving the Kepler&#39;s Equation</h2>
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<pre class="output">
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Dict&#123;Any, Any&#125; with 3 entries:
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a₁ &#61;&gt; M &#43; 0.00833333&#40;M^5&#41; - &#40;0.166667&#40;M^3&#41;&#41;
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a₂ &#61;&gt; M &#43; 0.00833333&#40;M^5&#41; &#43; 0.0416667&#40;M &#43; 0.00833333&#40;M^5&#41; - &#40;0.166667&#40;M^3
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&#41;&#41;&#41;*…
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a₃ &#61;&gt; M &#43; 0.00833333&#40;M^5&#41; &#43; 0.0416667&#40;M &#43; 0.00833333&#40;M^5&#41; - &#40;0.166667&#40;M^3
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&#41;&#41;&#41;*…
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a₁ &#61;&gt; M &#43; 0.00833333&#40;M^5&#41; - &#40;0.166667&#40;M^3&#41;&#41;
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</pre>
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@@ -1060,8 +1060,8 @@ <h2>Solving the Kepler&#39;s Equation</h2>
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</div>
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<div class="markdown"><p>Computer Information:</p>
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</div>
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<div class="markdown"><pre><code>Julia Version 1.6.1
1064-
Commit 6aaedecc44 &#40;2021-04-23 05:59 UTC&#41;
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<div class="markdown"><pre><code>Julia Version 1.6.2
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Commit 1b93d53fc4 &#40;2021-07-14 15:36 UTC&#41;
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Platform Info:
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OS: Linux &#40;x86_64-pc-linux-gnu&#41;
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CPU: AMD EPYC 7502 32-Core Processor
@@ -1075,15 +1075,15 @@ <h2>Solving the Kepler&#39;s Equation</h2>
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</div>
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<div class="markdown"><p>Package Information:</p>
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</div>
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<div class="markdown"><pre><code> Status &#96;/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml&#96;
1078+
<div class="markdown"><pre><code> Status &#96;/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml&#96;
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&#91;0c46a032&#93; DifferentialEquations v6.17.1
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&#91;961ee093&#93; ModelingToolkit v5.17.3
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&#91;91a5bcdd&#93; Plots v1.15.2
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&#91;30cb0354&#93; SciMLTutorials v0.9.0
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&#91;d1185830&#93; SymbolicUtils v0.11.2
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&#91;0c5d862f&#93; Symbolics v0.1.25</code></pre>
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<p>And the full manifest:</p>
1086-
<pre><code> Status &#96;/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml&#96;
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<pre><code> Status &#96;/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml&#96;
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&#91;c3fe647b&#93; AbstractAlgebra v0.16.0
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&#91;1520ce14&#93; AbstractTrees v0.3.4
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&#91;79e6a3ab&#93; Adapt v3.3.0
@@ -1361,7 +1361,7 @@ <h2>Solving the Kepler&#39;s Equation</h2>
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<div class="footer">
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<p>
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Published from <a href="01-perturbation_algebraic.jmd">01-perturbation_algebraic.jmd</a>
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using <a href="http://github.com/JunoLab/Weave.jl">Weave.jl</a> v0.10.9 on 2021-06-22.
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using <a href="http://github.com/JunoLab/Weave.jl">Weave.jl</a> v0.10.10 on 2021-08-06.
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</p>
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</div>
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</div>

html/perturbation/02-perturbation_differential.html

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markdown/perturbation/01-perturbation_algebraic.md

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@@ -257,8 +257,8 @@ solve_coef(eqs, a)
257257

258258
```
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Dict{Any, Any} with 2 entries:
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a₁ => -0.2
261260
a₂ => -0.04
261+
a₁ => -0.2
262262
```
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264264

@@ -410,11 +410,11 @@ vals = solve_coef(eqs, a)
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411411
```
412412
Dict{Any, Any} with 3 entries:
413-
a₁ => M + 0.00833333(M^5) - (0.166667(M^3))
414413
a₂ => M + 0.00833333(M^5) + 0.0416667(M + 0.00833333(M^5) - (0.166667(M^3
415414
)))*…
416415
a₃ => M + 0.00833333(M^5) + 0.0416667(M + 0.00833333(M^5) - (0.166667(M^3
417416
)))*…
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a₁ => M + 0.00833333(M^5) - (0.166667(M^3))
418418
```
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@@ -471,8 +471,8 @@ SciMLTutorials.weave_file("tutorials/perturbation","01-perturbation_algebraic.jm
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Computer Information:
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473473
```
474-
Julia Version 1.6.1
475-
Commit 6aaedecc44 (2021-04-23 05:59 UTC)
474+
Julia Version 1.6.2
475+
Commit 1b93d53fc4 (2021-07-14 15:36 UTC)
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Platform Info:
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OS: Linux (x86_64-pc-linux-gnu)
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CPU: AMD EPYC 7502 32-Core Processor
@@ -488,7 +488,7 @@ Environment:
488488
Package Information:
489489

490490
```
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Status `/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml`
491+
Status `/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml`
492492
[0c46a032] DifferentialEquations v6.17.1
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[961ee093] ModelingToolkit v5.17.3
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[91a5bcdd] Plots v1.15.2
@@ -500,7 +500,7 @@ Package Information:
500500
And the full manifest:
501501

502502
```
503-
Status `/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml`
503+
Status `/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml`
504504
[c3fe647b] AbstractAlgebra v0.16.0
505505
[1520ce14] AbstractTrees v0.3.4
506506
[79e6a3ab] Adapt v3.3.0

markdown/perturbation/02-perturbation_differential.md

Lines changed: 67 additions & 67 deletions
Original file line numberDiff line numberDiff line change
@@ -143,8 +143,8 @@ vals = solve_coef(eqs, ∂∂y)
143143
```
144144
Dict{Any, Any} with 3 entries:
145145
∂∂y₁ => 2.0y₀(t)
146-
∂∂y₀ => -1.0
147146
∂∂y₂ => 2.0y₁(t) - (3.0(y₀(t)^2))
147+
∂∂y₀ => -1.0
148148
```
149149

150150

@@ -162,8 +162,8 @@ eqs = [substitute(first(v), subs) ~ substitute(last(v), subs) for v in vals]
162162
```
163163
3-element Vector{Symbolics.Equation}:
164164
Differential(t)(Differential(t)(y₁(t))) ~ 2.0y₀(t)
165-
Differential(t)(Differential(t)(y₀(t))) ~ -1.0
166165
Differential(t)(Differential(t)(y₂(t))) ~ 2.0y₁(t) - (3.0(y₀(t)^2))
166+
Differential(t)(Differential(t)(y₀(t))) ~ -1.0
167167
```
168168

169169

@@ -183,11 +183,11 @@ states(sys)
183183
```
184184
6-element Vector{Any}:
185185
y₁ˍt(t)
186-
y₀ˍt(t)
187186
y₂ˍt(t)
187+
y₀ˍt(t)
188188
y₁(t)
189-
y₀(t)
190189
y₂(t)
190+
y₀(t)
191191
```
192192

193193

@@ -205,66 +205,66 @@ sol = solve(prob; dtmax=0.01)
205205
```
206206
retcode: Success
207207
Interpolation: automatic order switching interpolation
208-
t: 303-element Vector{Float64}:
208+
t: 302-element Vector{Float64}:
209209
0.0
210-
0.0007064003808057418
211-
0.007770404188863159
212-
0.017770404188863158
213-
0.02777040418886316
214-
0.03777040418886316
215-
0.047770404188863164
216-
0.057770404188863166
217-
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218-
0.07777040418886316
210+
0.0009990005004983772
211+
0.010989005505482149
212+
0.020989005505482147
213+
0.03098900550548215
214+
0.04098900550548215
215+
0.05098900550548215
216+
0.060989005505482155
217+
0.07098900550548215
218+
0.08098900550548215
219219
220-
2.927770404188845
221-
2.9377704041888446
222-
2.9477704041888444
223-
2.957770404188844
224-
2.967770404188844
225-
2.9777704041888438
226-
2.9877704041888435
227-
2.9977704041888433
220+
2.920989005505464
221+
2.930989005505464
222+
2.9409890055054637
223+
2.9509890055054635
224+
2.9609890055054633
225+
2.970989005505463
226+
2.980989005505463
227+
2.9909890055054627
228228
3.0
229-
u: 303-element Vector{Vector{Float64}}:
229+
u: 302-element Vector{Vector{Float64}}:
230230
[0.0, 0.0, 1.0, 0.0, 0.0, 0.0]
231-
[-1.174982827371994e-10, -0.0007064003808057417, 1.0, -2.0750207917394702e
232-
-14, -2.4950074900124696e-7, 0.0007064003808057417]
233-
[-1.5639021432321165e-7, -0.0077704041888631585, 0.9999999999948065, -3.03
234-
8037941185756e-10, -3.0189590629150915e-5, 0.007770404188856389]
235-
[-1.8705557791258766e-6, -0.017770404188863158, 0.9999999996751162, -8.310
236-
133063220138e-9, -0.00015789363251778217, 0.017770404187900546]
237-
[-7.138802181701145e-6, -0.027770404188863156, 0.9999999969720239, -4.9561
238-
855502544754e-8, -0.0003855976744064134, 0.027770404174847732]
239-
[-1.796112942204903e-5, -0.037770404188863155, 0.9999999859071251, -1.6959
240-
97794898182e-7, -0.0007133017162950444, 0.037770404100146475]
241-
[-3.6337537500169564e-5, -0.04777040418886315, 0.9999999543925265, -4.3396
242-
47134027663e-7, -0.0011410057581836756, 0.047770403825747154]
243-
[-6.42680264160627e-5, -0.057770404188863145, 0.999999882030846, -9.281974
244-
65619118e-7, -0.0016687098000723068, 0.0577704030530071]
245-
[-0.00010375259616972848, -0.06777040418886314, 0.9999997379152122, -1.757
246-
838844516597e-6, -0.0022964138419609374, 0.0677704012285957]
247-
[-0.00015679124676116685, -0.07777040418886313, 0.9999994784292653, -3.048
248-
4296584729253e-6, -0.003024117883849568, 0.07777039742839956]
231+
[9.976696651635089e-7, -9.96091672587352e-10, 0.9990009994995016, 3.322518
232+
3183212947e-10, -2.488196097577267e-13, 0.0009985014994983792]
233+
[0.00012031590433746151, -1.313675024660254e-6, 0.9890109944945178, 4.4112
234+
24493041101e-7, -3.6163136458534604e-9, 0.010928626384482389]
235+
[0.00043745619814322776, -9.069307488622044e-6, 0.9790109944945178, 3.0659
236+
81129291793e-6, -4.777432914805544e-8, 0.02076873632942756]
237+
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238+
0408498354e-6, -2.253405719858556e-7, 0.030508846274372736]
239+
[0.0016571433824514696, -6.62992778592017e-5, 0.9590109944945178, 2.271996
240+
227591275e-5, -6.846158733026939e-7, 0.04014895621931791]
241+
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242+
12872052407e-5, -1.6271927847283168e-6, 0.04968906616426308]
243+
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244+
44173132131e-5, -3.3058347541908906e-6, 0.05912917610920825]
245+
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246+
713192329729352, -6.022377301729108e-6, 0.06846928605415342]
247+
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248+
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249249
250-
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251-
17333, -4.285919769822102, -16.31697998093089]
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253-
563204, -4.31524747386399, -16.7047535915276]
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255-
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257-
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258-
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259-
32686, -4.403830585989655, -17.90941661739895]
260-
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261-
369165, -4.433558290031543, -18.32506635823484]
262-
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263-
4030317, -4.463385994073432, -18.747923541360098]
264-
[-8.979948547297694, -2.9977704041888433, -43.38469839753792, -6.729955996
265-
556951, -4.493313698115321, -19.178085471642593]
266-
[-9.000000000000174, -3.0, -43.55000000000142, -6.750000000000175, -4.5000
267-
00000000051, -19.275000000000954]
250+
[0.22471192394104525, 2.8247253103418704, -1.9209890055054843, 2.240961476
251+
3951557, 1.8060647625748494, -1.3450993796364734]
252+
[0.1976175041144319, 2.814507114834879, -1.9309890055054844, 2.24307344453
253+
3601, 1.8342621940922712, -1.3643592696915283]
254+
[0.17013688648671746, 2.8027476697776446, -1.9409890055054844, 2.244912539
255+
151441, 1.8623497674202474, -1.3837191597465832]
256+
[0.14226807105790193, 2.789410746307444, -1.9509890055054844, 2.2464748882
257+
70665, 1.8903118892738933, -1.403179049801638]
258+
[0.11400905782798529, 2.7744596885439723, -1.9609890055054844, 2.247756599
259+
913262, 1.9181326019464422, -1.422738939856693]
260+
[0.08535784679696758, 2.757857411389343, -1.9709890055054844, 2.2487537621
261+
01221, 1.94579557902807, -1.4423988299117478]
262+
[0.05631243796484875, 2.7395663983280887, -1.9809890055054844, 2.249462442
263+
856531, 1.9732841211027194, -1.4621587199668027]
264+
[0.026870831331628833, 2.7195486992271602, -1.9909890055054844, 2.24987869
265+
0201181, 2.000581151422923, -1.4820186100218575]
266+
[-6.521976042861373e-14, 2.6999999999999384, -2.0000000000000218, 2.249999
267+
999999993, 2.024999999999945, -1.5000000000000422]
268268
```
269269

270270

@@ -332,8 +332,8 @@ vals = solve_coef(eqs, ∂∂y)
332332
```
333333
Dict{Any, Any} with 3 entries:
334334
∂∂y₁ => -2.0∂y₀ - y₁(t)
335-
∂∂y₀ => -y₀(t)
336335
∂∂y₂ => -2.0∂y₁ - y₂(t)
336+
∂∂y₀ => -y₀(t)
337337
```
338338

339339

@@ -354,9 +354,9 @@ eqs = [substitute(first(v), subs) ~ substitute(last(v), subs) for v in vals]
354354
3-element Vector{Symbolics.Equation}:
355355
Differential(t)(Differential(t)(y₁(t))) ~ -y₁(t) - (2.0Differential(t)(y₀(
356356
t)))
357-
Differential(t)(Differential(t)(y₀(t))) ~ -y₀(t)
358357
Differential(t)(Differential(t)(y₂(t))) ~ -y₂(t) - (2.0Differential(t)(y₁(
359358
t)))
359+
Differential(t)(Differential(t)(y₀(t))) ~ -y₀(t)
360360
```
361361

362362

@@ -371,11 +371,11 @@ sys = ode_order_lowering(sys)
371371
```
372372

373373
```
374-
Model ##ODESystem#2100 with 6 equations
374+
Model ##ODESystem#8559 with 6 equations
375375
States (6):
376376
y₁ˍt(t)
377-
y₀ˍt(t)
378377
y₂ˍt(t)
378+
y₀ˍt(t)
379379
y₁(t)
380380
381381
Parameters (0):
@@ -419,8 +419,8 @@ SciMLTutorials.weave_file("tutorials/perturbation","02-perturbation_differential
419419
Computer Information:
420420

421421
```
422-
Julia Version 1.6.1
423-
Commit 6aaedecc44 (2021-04-23 05:59 UTC)
422+
Julia Version 1.6.2
423+
Commit 1b93d53fc4 (2021-07-14 15:36 UTC)
424424
Platform Info:
425425
OS: Linux (x86_64-pc-linux-gnu)
426426
CPU: AMD EPYC 7502 32-Core Processor
@@ -436,7 +436,7 @@ Environment:
436436
Package Information:
437437

438438
```
439-
Status `/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml`
439+
Status `/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Project.toml`
440440
[0c46a032] DifferentialEquations v6.17.1
441441
[961ee093] ModelingToolkit v5.17.3
442442
[91a5bcdd] Plots v1.15.2
@@ -448,7 +448,7 @@ Package Information:
448448
And the full manifest:
449449

450450
```
451-
Status `/var/lib/buildkite-agent/builds/1-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml`
451+
Status `/var/lib/buildkite-agent/builds/3-amdci4-julia-csail-mit-edu/julialang/scimltutorials-dot-jl/tutorials/perturbation/Manifest.toml`
452452
[c3fe647b] AbstractAlgebra v0.16.0
453453
[1520ce14] AbstractTrees v0.3.4
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[79e6a3ab] Adapt v3.3.0

notebook/perturbation/01-perturbation_algebraic.ipynb

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notebook/perturbation/02-perturbation_differential.ipynb

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