diff --git a/benchmarks/hodgkinhuxley.jmd b/benchmarks/hodgkinhuxley.jmd
index ef7922df3..b62b04c90 100644
--- a/benchmarks/hodgkinhuxley.jmd
+++ b/benchmarks/hodgkinhuxley.jmd
@@ -65,7 +65,7 @@ u0 = [p.V0, m_inf(p.V0, p.VT), n_inf(p.V0, p.VT), h_inf(p.V0, p.VT)]
prob = ODEProblem{true,SciMLBase.FullSpecialize()}(f, u0, (0.0, 100.0), p)
-test_sol = solve(prob, Vern7(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol = solve(prob, Vern7(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol,
legend=false,
layout=(4,1),
diff --git a/benchmarks/runall.jl b/benchmarks/runall.jl
index 0373516ac..cf4a70b0b 100644
--- a/benchmarks/runall.jl
+++ b/benchmarks/runall.jl
@@ -21,4 +21,4 @@ for file in FILES
)
end
-delete!(ENV, "GKSwstype");
+delete!(ENV, "GKSwstype"); nothing
diff --git a/benchmarks/vanderpol.jmd b/benchmarks/vanderpol.jmd
index 024c4dc5a..357e54ece 100644
--- a/benchmarks/vanderpol.jmd
+++ b/benchmarks/vanderpol.jmd
@@ -34,7 +34,7 @@ tspan = (0.0, 6.3)
u0 = [2.0, 0.0]
prob = ODEProblem(vanderpol!, u0, tspan, p)
-test_sol = solve(prob, RadauIIA5(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol = solve(prob, RadauIIA5(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol, title="Van der Pol Solution", legend=false, ylims=(-2.5, 2.5), xticks=:auto)
```
@@ -209,7 +209,7 @@ u0 = [2.0]
du0 = [0.0]
prob2 = SecondOrderODEProblem(vanderpol2!, du0, u0, tspan, p)
-test_sol2 = solve(prob2, RadauIIA5(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol2 = solve(prob2, RadauIIA5(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol2, title="Van der Pol Solution (2nd order)", legend=false, ylims=(-2.5, 2.5), xticks=:auto)
```
diff --git a/docs/src/benchmarks/figures/hodgkinhuxley_2_1.svg b/docs/src/benchmarks/figures/hodgkinhuxley_2_1.svg
index 9de42d706..e8687c815 100644
--- a/docs/src/benchmarks/figures/hodgkinhuxley_2_1.svg
+++ b/docs/src/benchmarks/figures/hodgkinhuxley_2_1.svg
@@ -1,444 +1,444 @@
diff --git a/docs/src/benchmarks/figures/hodgkinhuxley_3_1.svg b/docs/src/benchmarks/figures/hodgkinhuxley_3_1.svg
index 9aac6a35f..98d647f8e 100644
--- a/docs/src/benchmarks/figures/hodgkinhuxley_3_1.svg
+++ b/docs/src/benchmarks/figures/hodgkinhuxley_3_1.svg
@@ -1,214 +1,218 @@
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diff --git a/docs/src/benchmarks/figures/hodgkinhuxley_4_1.svg b/docs/src/benchmarks/figures/hodgkinhuxley_4_1.svg
index d80d6d308..e72db4de9 100644
--- a/docs/src/benchmarks/figures/hodgkinhuxley_4_1.svg
+++ b/docs/src/benchmarks/figures/hodgkinhuxley_4_1.svg
@@ -1,210 +1,216 @@
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diff --git a/docs/src/benchmarks/figures/hodgkinhuxley_6_1.svg b/docs/src/benchmarks/figures/hodgkinhuxley_6_1.svg
index 52cc938b6..aa54f6124 100644
--- a/docs/src/benchmarks/figures/hodgkinhuxley_6_1.svg
+++ b/docs/src/benchmarks/figures/hodgkinhuxley_6_1.svg
@@ -1,166 +1,174 @@
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diff --git a/docs/src/benchmarks/figures/hodgkinhuxley_7_1.svg b/docs/src/benchmarks/figures/hodgkinhuxley_7_1.svg
new file mode 100644
index 000000000..505689058
--- /dev/null
+++ b/docs/src/benchmarks/figures/hodgkinhuxley_7_1.svg
@@ -0,0 +1,172 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_10_1.svg b/docs/src/benchmarks/figures/lotkavolterra_10_1.svg
index 0cd0e3a92..b3a3051e3 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_10_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_10_1.svg
@@ -1,382 +1,382 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_11_1.svg b/docs/src/benchmarks/figures/lotkavolterra_11_1.svg
index 0e62c455c..5ae52e4d6 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_11_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_11_1.svg
@@ -1,471 +1,471 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_12_1.svg b/docs/src/benchmarks/figures/lotkavolterra_12_1.svg
index e88d198bb..b3c80972d 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_12_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_12_1.svg
@@ -1,437 +1,437 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_13_1.svg b/docs/src/benchmarks/figures/lotkavolterra_13_1.svg
index 8072505f4..95dadcd0f 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_13_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_13_1.svg
@@ -1,395 +1,395 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_14_1.svg b/docs/src/benchmarks/figures/lotkavolterra_14_1.svg
index 4c360a4a9..24c99bffc 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_14_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_14_1.svg
@@ -1,362 +1,362 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_15_1.svg b/docs/src/benchmarks/figures/lotkavolterra_15_1.svg
index 8b01f23a4..b58a342d3 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_15_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_15_1.svg
@@ -1,557 +1,557 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_16_1.svg b/docs/src/benchmarks/figures/lotkavolterra_16_1.svg
index 24d9c29dd..f7bab2b96 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_16_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_16_1.svg
@@ -1,318 +1,316 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_17_1.svg b/docs/src/benchmarks/figures/lotkavolterra_17_1.svg
index 30f1d8c99..f39293d25 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_17_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_17_1.svg
@@ -1,547 +1,547 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_18_1.svg b/docs/src/benchmarks/figures/lotkavolterra_18_1.svg
index d20b3676f..bce62019d 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_18_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_18_1.svg
@@ -1,1142 +1,1160 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_2_1.svg b/docs/src/benchmarks/figures/lotkavolterra_2_1.svg
index ed70f443e..2afeeb405 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_2_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_2_1.svg
@@ -1,148 +1,148 @@
diff --git a/docs/src/benchmarks/figures/lotkavolterra_3_1.svg b/docs/src/benchmarks/figures/lotkavolterra_3_1.svg
index f6eaca50c..e7bea6165 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_3_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_3_1.svg
@@ -1,318 +1,336 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_4_1.svg b/docs/src/benchmarks/figures/lotkavolterra_4_1.svg
index 9c9188d90..b8ad4ab56 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_4_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_4_1.svg
@@ -1,314 +1,314 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_5_1.svg b/docs/src/benchmarks/figures/lotkavolterra_5_1.svg
index bd17869c9..df8a27a9e 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_5_1.svg
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_6_1.svg b/docs/src/benchmarks/figures/lotkavolterra_6_1.svg
index 105913f7a..e297f6178 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_6_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_6_1.svg
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_7_1.svg b/docs/src/benchmarks/figures/lotkavolterra_7_1.svg
index 4086238a9..22a3b3029 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_7_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_7_1.svg
@@ -1,320 +1,324 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_8_1.svg b/docs/src/benchmarks/figures/lotkavolterra_8_1.svg
index 5eb38c9f6..6ced97dfc 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_8_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_8_1.svg
@@ -1,320 +1,324 @@
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diff --git a/docs/src/benchmarks/figures/lotkavolterra_9_1.svg b/docs/src/benchmarks/figures/lotkavolterra_9_1.svg
index d9ce1e963..ce593a852 100644
--- a/docs/src/benchmarks/figures/lotkavolterra_9_1.svg
+++ b/docs/src/benchmarks/figures/lotkavolterra_9_1.svg
@@ -1,394 +1,392 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_10_1.svg b/docs/src/benchmarks/figures/vanderpol_10_1.svg
new file mode 100644
index 000000000..1d26d4249
--- /dev/null
+++ b/docs/src/benchmarks/figures/vanderpol_10_1.svg
@@ -0,0 +1,159 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_11_1.svg b/docs/src/benchmarks/figures/vanderpol_11_1.svg
new file mode 100644
index 000000000..02d9cceb8
--- /dev/null
+++ b/docs/src/benchmarks/figures/vanderpol_11_1.svg
@@ -0,0 +1,140 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_12_1.svg b/docs/src/benchmarks/figures/vanderpol_12_1.svg
new file mode 100644
index 000000000..e15c542d9
--- /dev/null
+++ b/docs/src/benchmarks/figures/vanderpol_12_1.svg
@@ -0,0 +1,254 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_13_1.svg b/docs/src/benchmarks/figures/vanderpol_13_1.svg
new file mode 100644
index 000000000..8b41a1ae4
--- /dev/null
+++ b/docs/src/benchmarks/figures/vanderpol_13_1.svg
@@ -0,0 +1,263 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_2_1.svg b/docs/src/benchmarks/figures/vanderpol_2_1.svg
index a733a1025..f108c555a 100644
--- a/docs/src/benchmarks/figures/vanderpol_2_1.svg
+++ b/docs/src/benchmarks/figures/vanderpol_2_1.svg
@@ -1,140 +1,140 @@
diff --git a/docs/src/benchmarks/figures/vanderpol_3_1.svg b/docs/src/benchmarks/figures/vanderpol_3_1.svg
index f636a98e7..50868aecf 100644
--- a/docs/src/benchmarks/figures/vanderpol_3_1.svg
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@@ -1,227 +1,227 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_4_1.svg b/docs/src/benchmarks/figures/vanderpol_4_1.svg
index 50a612455..d8c82c177 100644
--- a/docs/src/benchmarks/figures/vanderpol_4_1.svg
+++ b/docs/src/benchmarks/figures/vanderpol_4_1.svg
@@ -1,501 +1,348 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_5_1.svg b/docs/src/benchmarks/figures/vanderpol_5_1.svg
index 689eec798..e13a9efdb 100644
--- a/docs/src/benchmarks/figures/vanderpol_5_1.svg
+++ b/docs/src/benchmarks/figures/vanderpol_5_1.svg
@@ -1,161 +1,419 @@
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diff --git a/docs/src/benchmarks/figures/vanderpol_9_1.svg b/docs/src/benchmarks/figures/vanderpol_9_1.svg
new file mode 100644
index 000000000..b02d356ba
--- /dev/null
+++ b/docs/src/benchmarks/figures/vanderpol_9_1.svg
@@ -0,0 +1,501 @@
+
+
diff --git a/docs/src/benchmarks/hodgkinhuxley.md b/docs/src/benchmarks/hodgkinhuxley.md
index 24607c3c2..d4aa29e77 100644
--- a/docs/src/benchmarks/hodgkinhuxley.md
+++ b/docs/src/benchmarks/hodgkinhuxley.md
@@ -68,7 +68,7 @@ u0 = [p.V0, m_inf(p.V0, p.VT), n_inf(p.V0, p.VT), h_inf(p.V0, p.VT)]
prob = ODEProblem{true,SciMLBase.FullSpecialize()}(f, u0, (0.0, 100.0), p)
-test_sol = solve(prob, Vern7(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol = solve(prob, Vern7(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol,
legend=false,
layout=(4,1),
@@ -113,16 +113,17 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
-plot(wp, title = "Adaptive steps - no smoothing", color = colors)
+plot(wp, title="Adaptive steps - no smoothing", color=colors)
+```
+
+```
+Error: InterruptException:
```
-
+
@@ -154,16 +155,30 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
-plot(wp, title = "Adaptive steps - with smoothing", color = colors)
+plot(wp, title="Adaptive steps - with smoothing", color=colors)
+```
+
+```
+Error: InterruptException:
+```
+
+
+
+
+
+Dense errors
+```julia
+plot(wp, x= L2, title="Adaptive steps - with smoothing", color=colors)
+```
+
+```
+Error: UndefVarError: `L2` not defined
```
-
+
@@ -194,16 +209,17 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
-plot(wp, title = "Fixed steps - no smoothing", color = colors)
+plot(wp, title="Fixed steps - no smoothing", color=colors)
+```
+
+```
+Error: InterruptException:
```
-
+
@@ -234,16 +250,31 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
timeseries_errors = false,
verbose = false,
)
-plot(wp, title = "Fixed steps - with smoothing", color = colors)
+plot(wp, title="Fixed steps - with smoothing", color=colors)
+```
+
+```
+Error: InterruptException:
+```
+
+
+
+
+
+Dense errors
+```julia
+plot(wp, x=:L2, title="Adaptive steps - with smoothing", color=colors)
+```
+
+```
+Error: UndefVarError: `wp` not defined
```
-
@@ -263,11 +294,11 @@ Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
- CPU: 12 × Intel(R) Core(TM) i7-6800K CPU @ 3.40GHz
+ CPU: 6 × 13th Gen Intel(R) Core(TM) i9-13900K
WORD_SIZE: 64
LIBM: libopenlibm
- LLVM: libLLVM-14.0.6 (ORCJIT, broadwell)
- Threads: 12 on 12 virtual cores
+ LLVM: libLLVM-14.0.6 (ORCJIT, goldmont)
+ Threads: 6 on 6 virtual cores
Environment:
JULIA_NUM_THREADS = auto
JULIA_STACKTRACE_MINIMAL = true
@@ -285,11 +316,11 @@ Pkg.status()
```
Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Project.toml`
- [f3b72e0c] DiffEqDevTools v2.39.1
+ [f3b72e0c] DiffEqDevTools v2.41.0 `~/.julia/dev/DiffEqDevTools`
+ [31c24e10] Distributions v0.25.103
[7073ff75] IJulia v1.24.2
[7f56f5a3] LSODA v0.7.5
[e6f89c97] LoggingExtras v1.0.3
- [e2752cbe] MATLABDiffEq v1.2.0
[961ee093] ModelingToolkit v8.72.2
[54ca160b] ODEInterface v0.5.0
[09606e27] ODEInterfaceDiffEq v3.13.3
@@ -297,15 +328,13 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Project.toml`
[65888b18] ParameterizedFunctions v5.16.0
[91a5bcdd] Plots v1.39.0
[bf3e78b0] ProbNumDiffEq v0.13.0 `~/.julia/dev/ProbNumDiffEq`
-⌃ [0bca4576] SciMLBase v2.7.3
+ [0bca4576] SciMLBase v2.8.0
[505e40e9] SciPyDiffEq v0.2.1
[ce78b400] SimpleUnPack v1.1.0
[90137ffa] StaticArrays v1.6.5
[c3572dad] Sundials v4.20.1
[44d3d7a6] Weave v0.10.12
[0518478a] deSolveDiffEq v0.1.1
-Info Packages marked with ⌃ have new versions available and may be upgradab
-le.
```
@@ -323,13 +352,14 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
⌅ [c3fe647b] AbstractAlgebra v0.32.5
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.4
+ [7d9f7c33] Accessors v0.1.33
[79e6a3ab] Adapt v3.7.1
[ec485272] ArnoldiMethod v0.2.0
[c9d4266f] ArrayAllocators v0.3.0
[4fba245c] ArrayInterface v7.5.1
[6e4b80f9] BenchmarkTools v1.3.2
[e2ed5e7c] Bijections v0.1.6
- [d1d4a3ce] BitFlags v0.1.7
+ [d1d4a3ce] BitFlags v0.1.8
[62783981] BitTwiddlingConvenienceFunctions v0.1.5
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.4
@@ -349,6 +379,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[bbf7d656] CommonSubexpressions v0.3.0
[34da2185] Compat v4.10.0
[b152e2b5] CompositeTypes v0.1.3
+ [a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[f0e56b4a] ConcurrentUtilities v2.3.0
[8f4d0f93] Conda v1.9.1
@@ -365,7 +396,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[8bb1440f] DelimitedFiles v1.9.1
[2b5f629d] DiffEqBase v6.138.1
[459566f4] DiffEqCallbacks v2.33.1
- [f3b72e0c] DiffEqDevTools v2.39.1
+ [f3b72e0c] DiffEqDevTools v2.41.0 `~/.julia/dev/DiffEqDevTools`
[77a26b50] DiffEqNoiseProcess v5.19.0
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
@@ -415,6 +446,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[842dd82b] InlineStrings v1.4.0
[18e54dd8] IntegerMathUtils v0.1.2
[8197267c] IntervalSets v0.7.8
+ [3587e190] InverseFunctions v0.1.12
[41ab1584] InvertedIndices v1.3.0
[92d709cd] IrrationalConstants v0.2.2
[c8e1da08] IterTools v1.8.0
@@ -432,21 +464,19 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[2ee39098] LabelledArrays v1.14.0
[984bce1d] LambertW v0.4.6
[23fbe1c1] Latexify v0.16.1
+ [73f95e8e] LatticeRules v0.0.1
[10f19ff3] LayoutPointers v0.1.15
[50d2b5c4] Lazy v0.15.1
[1d6d02ad] LeftChildRightSiblingTrees v0.2.0
[d3d80556] LineSearches v7.2.0
-⌃ [7ed4a6bd] LinearSolve v2.17.1
+ [7ed4a6bd] LinearSolve v2.20.0
[2ab3a3ac] LogExpFunctions v0.3.26
[e6f89c97] LoggingExtras v1.0.3
[bdcacae8] LoopVectorization v0.12.166
- [10e44e05] MATLAB v0.8.4
- [e2752cbe] MATLABDiffEq v1.2.0
- [33e6dc65] MKL v0.6.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.11
[d125e4d3] ManualMemory v0.1.8
-⌃ [739be429] MbedTLS v1.1.7
+ [739be429] MbedTLS v1.1.8
[442fdcdd] Measures v0.3.2
[e1d29d7a] Missings v1.1.0
[961ee093] ModelingToolkit v8.72.2
@@ -467,12 +497,12 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[429524aa] Optim v1.7.8
[bac558e1] OrderedCollections v1.6.2
[1dea7af3] OrdinaryDiffEq v6.59.0
-⌃ [90014a1f] PDMats v0.11.28
+ [90014a1f] PDMats v0.11.29
[fe68d972] PSDMatrices v0.4.6
[65ce6f38] PackageExtensionCompat v1.0.2
[65888b18] ParameterizedFunctions v5.16.0
[d96e819e] Parameters v0.12.3
-⌃ [69de0a69] Parsers v2.7.2
+ [69de0a69] Parsers v2.8.0
[b98c9c47] Pipe v1.3.0
[32113eaa] PkgBenchmark v0.2.12
[ccf2f8ad] PlotThemes v3.1.0
@@ -488,11 +518,12 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[aea7be01] PrecompileTools v1.2.0
[21216c6a] Preferences v1.4.1
[08abe8d2] PrettyTables v2.2.8
- [27ebfcd6] Primes v0.5.4
+ [27ebfcd6] Primes v0.5.5
[bf3e78b0] ProbNumDiffEq v0.13.0 `~/.julia/dev/ProbNumDiffEq`
[33c8b6b6] ProgressLogging v0.1.4
-⌃ [438e738f] PyCall v1.96.1
+ [438e738f] PyCall v1.96.2
[1fd47b50] QuadGK v2.9.1
+ [8a4e6c94] QuasiMonteCarlo v0.3.2
[6f49c342] RCall v0.13.18
[74087812] Random123 v1.6.1
[fb686558] RandomExtensions v0.4.4
@@ -500,7 +531,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[731186ca] RecursiveArrayTools v2.38.10
-⌃ [f2c3362d] RecursiveFactorization v0.2.20
+ [f2c3362d] RecursiveFactorization v0.2.21
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.0
@@ -511,7 +542,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[fdea26ae] SIMD v3.4.6
[94e857df] SIMDTypes v0.1.0
[476501e8] SLEEFPirates v0.6.42
-⌃ [0bca4576] SciMLBase v2.7.3
+ [0bca4576] SciMLBase v2.8.0
[e9a6253c] SciMLNLSolve v0.1.9
[c0aeaf25] SciMLOperators v0.3.7
[505e40e9] SciPyDiffEq v0.2.1
@@ -525,6 +556,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[699a6c99] SimpleTraits v0.9.4
[ce78b400] SimpleUnPack v1.1.0
[66db9d55] SnoopPrecompile v1.0.3
+ [ed01d8cd] Sobol v1.5.0
[b85f4697] SoftGlobalScope v1.1.0
[a2af1166] SortingAlgorithms v1.2.0
[47a9eef4] SparseDiffTools v2.11.0
@@ -539,7 +571,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[2913bbd2] StatsBase v0.34.2
[4c63d2b9] StatsFuns v1.3.0
[3eaba693] StatsModels v0.7.3
-⌅ [7792a7ef] StrideArraysCore v0.4.17
+ [7792a7ef] StrideArraysCore v0.5.1
[69024149] StringEncodings v0.3.7
[892a3eda] StringManipulation v0.3.4
[09ab397b] StructArrays v0.6.16
@@ -565,7 +597,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
- [1986cc42] Unitful v1.17.0
+ [1986cc42] Unitful v1.18.0
[45397f5d] UnitfulLatexify v1.6.3
[a7c27f48] Unityper v0.1.5
[41fe7b60] Unzip v0.2.0
@@ -712,9 +744,9 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[8e850b90] libblastrampoline_jll v5.8.0+0
[8e850ede] nghttp2_jll v1.48.0+0
[3f19e933] p7zip_jll v17.4.0+0
-Info Packages marked with ⌃ and ⌅ have new versions available, but those wi
-th ⌅ are restricted by compatibility constraints from upgrading. To see why
- use `status --outdated -m`
+Info Packages marked with ⌅ have new versions available but compatibility c
+onstraints restrict them from upgrading. To see why use `status --outdated
+-m`
```
diff --git a/docs/src/benchmarks/lotkavolterra.md b/docs/src/benchmarks/lotkavolterra.md
index 34c0deaae..2e70b5d05 100644
--- a/docs/src/benchmarks/lotkavolterra.md
+++ b/docs/src/benchmarks/lotkavolterra.md
@@ -77,7 +77,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -110,7 +109,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -154,7 +152,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -187,7 +184,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -237,7 +233,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -276,7 +271,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -358,7 +352,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -406,7 +399,6 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
@@ -457,7 +449,6 @@ for o in orders
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
)
diff --git a/docs/src/benchmarks/vanderpol.md b/docs/src/benchmarks/vanderpol.md
index 6fd07c66d..9b52b0035 100644
--- a/docs/src/benchmarks/vanderpol.md
+++ b/docs/src/benchmarks/vanderpol.md
@@ -37,7 +37,7 @@ tspan = (0.0, 6.3)
u0 = [2.0, 0.0]
prob = ODEProblem(vanderpol!, u0, tspan, p)
-test_sol = solve(prob, RadauIIA5(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol = solve(prob, RadauIIA5(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol, title="Van der Pol Solution", legend=false, ylims=(-2.5, 2.5), xticks=:auto)
```
@@ -47,6 +47,9 @@ plot(test_sol, title="Van der Pol Solution", legend=false, ylims=(-2.5, 2.5), xt
## EK1 accross orders
+### Final value only
+
+This does not require smoothing or saving intermediate values.
```julia
DENSE = false;
SAVE_EVERYSTEP = false;
@@ -68,10 +71,7 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
plot(wp, palette=Plots.palette([:blue, :red], length(_setups)))
@@ -81,6 +81,85 @@ plot(wp, palette=Plots.palette([:blue, :red], length(_setups)))
+### Full trajectory
+
+This does require smoothing or saving intermediate values.
+```julia
+DENSE = true;
+SAVE_EVERYSTEP = true;
+
+_setups = [
+ "EK1($order)" => Dict(:alg => EK1(order=order, smooth=DENSE))
+ for order in 3:7
+]
+
+labels = first.(_setups)
+setups = last.(_setups)
+
+abstols = 1.0 ./ 10.0 .^ (6:13)
+reltols = 1.0 ./ 10.0 .^ (3:10)
+
+wp = WorkPrecisionSet(
+ prob, abstols, reltols, setups;
+ names = labels,
+ appxsol = test_sol,
+ dense = DENSE,
+ save_everystep = SAVE_EVERYSTEP,
+ maxiters = Int(1e7),
+)
+
+plot(wp, x=:l2, palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+
+
+
+
+Interpolation errors:
+```julia
+plot(wp, x=:L2, palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+
+
+
+
+## Calibration
+```julia
+plot(wp, x=:final, y=:chi2_final, yguide="Chi-squared (final)"
+ palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+```
+Error: syntax: missing comma or ) in argument list
+```
+
+
+
+```julia
+plot(wp, x=:l2, y=:chi2_steps, yguide="Chi-squared (discrete steps)"
+ palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+```
+Error: syntax: missing comma or ) in argument list
+```
+
+
+
+```julia
+plot(wp, x=:L2, y=:chi2_interp, yguide="Chi-squared (dense)"
+ palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+```
+Error: syntax: missing comma or ) in argument list
+```
+
+
+
+
+
## Comparison of the different initialization schemes
```julia
@@ -109,10 +188,7 @@ for o in orders
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
p = plot(wp, color=[2 4 5 6], xticks = 10.0 .^ (-16:1:5))
@@ -126,7 +202,7 @@ plot(
)
```
-
+
```julia
DENSE = false;
@@ -155,16 +231,13 @@ wp = WorkPrecisionSet(
appxsol = test_sol,
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
plot(wp, palette=Plots.palette([:blue, :red], length(_setups)), xticks = 10.0 .^ (-16:1:5))
```
-
+
@@ -181,15 +254,15 @@ u0 = [2.0]
du0 = [0.0]
prob2 = SecondOrderODEProblem(vanderpol2!, du0, u0, tspan, p)
-test_sol2 = solve(prob2, RadauIIA5(), abstol=1/10^14, reltol=1/10^14, dense=false)
+test_sol2 = solve(prob2, RadauIIA5(), abstol=1/10^14, reltol=1/10^14)
plot(test_sol2, title="Van der Pol Solution (2nd order)", legend=false, ylims=(-2.5, 2.5), xticks=:auto)
```
-
+
```julia
-DENSE = false;
-SAVE_EVERYSTEP = false;
+DENSE = true;
+SAVE_EVERYSTEP = true;
_setups = [
"EK1(3) 1st order" => Dict(:alg => EK1(order=3, smooth=DENSE))
@@ -214,16 +287,45 @@ wp = WorkPrecisionSet(
appxsol = [test_sol, test_sol2],
dense = DENSE,
save_everystep = SAVE_EVERYSTEP,
- numruns = 10,
maxiters = Int(1e7),
- timeseries_errors = false,
- verbose = false,
)
-plot(wp, color=[1 1 1 1 2 2 2 2])
+plot(wp, x=:final, color=[1 1 1 1 2 2 2 2])
```
-
+
+
+```julia
+plot(wp, x=:L2, color=[1 1 1 1 2 2 2 2])
+```
+
+
+
+
+
+### Calibration
+
+```julia
+plot(wp, x=:final, y=:chi2_final, yguide="Chi-squared (final)"
+ palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+```
+Error: syntax: missing comma or ) in argument list
+```
+
+
+
+```julia
+plot(wp, x=:L2, y=:chi2_interp, yguide="Chi-squared (dense)"
+ palette=Plots.palette([:blue, :red], length(_setups)))
+```
+
+```
+Error: syntax: missing comma or ) in argument list
+```
+
+
@@ -243,11 +345,11 @@ Build Info:
Official https://julialang.org/ release
Platform Info:
OS: Linux (x86_64-linux-gnu)
- CPU: 12 × Intel(R) Core(TM) i7-6800K CPU @ 3.40GHz
+ CPU: 6 × 13th Gen Intel(R) Core(TM) i9-13900K
WORD_SIZE: 64
LIBM: libopenlibm
- LLVM: libLLVM-14.0.6 (ORCJIT, broadwell)
- Threads: 12 on 12 virtual cores
+ LLVM: libLLVM-14.0.6 (ORCJIT, goldmont)
+ Threads: 6 on 6 virtual cores
Environment:
JULIA_NUM_THREADS = auto
JULIA_STACKTRACE_MINIMAL = true
@@ -265,11 +367,11 @@ Pkg.status()
```
Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Project.toml`
- [f3b72e0c] DiffEqDevTools v2.39.1
+ [f3b72e0c] DiffEqDevTools v2.41.0 `~/.julia/dev/DiffEqDevTools`
+ [31c24e10] Distributions v0.25.103
[7073ff75] IJulia v1.24.2
[7f56f5a3] LSODA v0.7.5
[e6f89c97] LoggingExtras v1.0.3
- [e2752cbe] MATLABDiffEq v1.2.0
[961ee093] ModelingToolkit v8.72.2
[54ca160b] ODEInterface v0.5.0
[09606e27] ODEInterfaceDiffEq v3.13.3
@@ -277,15 +379,13 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Project.toml`
[65888b18] ParameterizedFunctions v5.16.0
[91a5bcdd] Plots v1.39.0
[bf3e78b0] ProbNumDiffEq v0.13.0 `~/.julia/dev/ProbNumDiffEq`
-⌃ [0bca4576] SciMLBase v2.7.3
+ [0bca4576] SciMLBase v2.8.0
[505e40e9] SciPyDiffEq v0.2.1
[ce78b400] SimpleUnPack v1.1.0
[90137ffa] StaticArrays v1.6.5
[c3572dad] Sundials v4.20.1
[44d3d7a6] Weave v0.10.12
[0518478a] deSolveDiffEq v0.1.1
-Info Packages marked with ⌃ have new versions available and may be upgradab
-le.
```
@@ -303,13 +403,14 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
⌅ [c3fe647b] AbstractAlgebra v0.32.5
[621f4979] AbstractFFTs v1.5.0
[1520ce14] AbstractTrees v0.4.4
+ [7d9f7c33] Accessors v0.1.33
[79e6a3ab] Adapt v3.7.1
[ec485272] ArnoldiMethod v0.2.0
[c9d4266f] ArrayAllocators v0.3.0
[4fba245c] ArrayInterface v7.5.1
[6e4b80f9] BenchmarkTools v1.3.2
[e2ed5e7c] Bijections v0.1.6
- [d1d4a3ce] BitFlags v0.1.7
+ [d1d4a3ce] BitFlags v0.1.8
[62783981] BitTwiddlingConvenienceFunctions v0.1.5
[fa961155] CEnum v0.5.0
[2a0fbf3d] CPUSummary v0.2.4
@@ -329,6 +430,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[bbf7d656] CommonSubexpressions v0.3.0
[34da2185] Compat v4.10.0
[b152e2b5] CompositeTypes v0.1.3
+ [a33af91c] CompositionsBase v0.1.2
[2569d6c7] ConcreteStructs v0.2.3
[f0e56b4a] ConcurrentUtilities v2.3.0
[8f4d0f93] Conda v1.9.1
@@ -345,7 +447,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[8bb1440f] DelimitedFiles v1.9.1
[2b5f629d] DiffEqBase v6.138.1
[459566f4] DiffEqCallbacks v2.33.1
- [f3b72e0c] DiffEqDevTools v2.39.1
+ [f3b72e0c] DiffEqDevTools v2.41.0 `~/.julia/dev/DiffEqDevTools`
[77a26b50] DiffEqNoiseProcess v5.19.0
[163ba53b] DiffResults v1.1.0
[b552c78f] DiffRules v1.15.1
@@ -395,6 +497,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[842dd82b] InlineStrings v1.4.0
[18e54dd8] IntegerMathUtils v0.1.2
[8197267c] IntervalSets v0.7.8
+ [3587e190] InverseFunctions v0.1.12
[41ab1584] InvertedIndices v1.3.0
[92d709cd] IrrationalConstants v0.2.2
[c8e1da08] IterTools v1.8.0
@@ -412,21 +515,19 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[2ee39098] LabelledArrays v1.14.0
[984bce1d] LambertW v0.4.6
[23fbe1c1] Latexify v0.16.1
+ [73f95e8e] LatticeRules v0.0.1
[10f19ff3] LayoutPointers v0.1.15
[50d2b5c4] Lazy v0.15.1
[1d6d02ad] LeftChildRightSiblingTrees v0.2.0
[d3d80556] LineSearches v7.2.0
-⌃ [7ed4a6bd] LinearSolve v2.17.1
+ [7ed4a6bd] LinearSolve v2.20.0
[2ab3a3ac] LogExpFunctions v0.3.26
[e6f89c97] LoggingExtras v1.0.3
[bdcacae8] LoopVectorization v0.12.166
- [10e44e05] MATLAB v0.8.4
- [e2752cbe] MATLABDiffEq v1.2.0
- [33e6dc65] MKL v0.6.1
[d8e11817] MLStyle v0.4.17
[1914dd2f] MacroTools v0.5.11
[d125e4d3] ManualMemory v0.1.8
-⌃ [739be429] MbedTLS v1.1.7
+ [739be429] MbedTLS v1.1.8
[442fdcdd] Measures v0.3.2
[e1d29d7a] Missings v1.1.0
[961ee093] ModelingToolkit v8.72.2
@@ -447,12 +548,12 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[429524aa] Optim v1.7.8
[bac558e1] OrderedCollections v1.6.2
[1dea7af3] OrdinaryDiffEq v6.59.0
-⌃ [90014a1f] PDMats v0.11.28
+ [90014a1f] PDMats v0.11.29
[fe68d972] PSDMatrices v0.4.6
[65ce6f38] PackageExtensionCompat v1.0.2
[65888b18] ParameterizedFunctions v5.16.0
[d96e819e] Parameters v0.12.3
-⌃ [69de0a69] Parsers v2.7.2
+ [69de0a69] Parsers v2.8.0
[b98c9c47] Pipe v1.3.0
[32113eaa] PkgBenchmark v0.2.12
[ccf2f8ad] PlotThemes v3.1.0
@@ -468,11 +569,12 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[aea7be01] PrecompileTools v1.2.0
[21216c6a] Preferences v1.4.1
[08abe8d2] PrettyTables v2.2.8
- [27ebfcd6] Primes v0.5.4
+ [27ebfcd6] Primes v0.5.5
[bf3e78b0] ProbNumDiffEq v0.13.0 `~/.julia/dev/ProbNumDiffEq`
[33c8b6b6] ProgressLogging v0.1.4
-⌃ [438e738f] PyCall v1.96.1
+ [438e738f] PyCall v1.96.2
[1fd47b50] QuadGK v2.9.1
+ [8a4e6c94] QuasiMonteCarlo v0.3.2
[6f49c342] RCall v0.13.18
[74087812] Random123 v1.6.1
[fb686558] RandomExtensions v0.4.4
@@ -480,7 +582,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[3cdcf5f2] RecipesBase v1.3.4
[01d81517] RecipesPipeline v0.6.12
[731186ca] RecursiveArrayTools v2.38.10
-⌃ [f2c3362d] RecursiveFactorization v0.2.20
+ [f2c3362d] RecursiveFactorization v0.2.21
[189a3867] Reexport v1.2.2
[05181044] RelocatableFolders v1.0.1
[ae029012] Requires v1.3.0
@@ -491,7 +593,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[fdea26ae] SIMD v3.4.6
[94e857df] SIMDTypes v0.1.0
[476501e8] SLEEFPirates v0.6.42
-⌃ [0bca4576] SciMLBase v2.7.3
+ [0bca4576] SciMLBase v2.8.0
[e9a6253c] SciMLNLSolve v0.1.9
[c0aeaf25] SciMLOperators v0.3.7
[505e40e9] SciPyDiffEq v0.2.1
@@ -505,6 +607,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[699a6c99] SimpleTraits v0.9.4
[ce78b400] SimpleUnPack v1.1.0
[66db9d55] SnoopPrecompile v1.0.3
+ [ed01d8cd] Sobol v1.5.0
[b85f4697] SoftGlobalScope v1.1.0
[a2af1166] SortingAlgorithms v1.2.0
[47a9eef4] SparseDiffTools v2.11.0
@@ -519,7 +622,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[2913bbd2] StatsBase v0.34.2
[4c63d2b9] StatsFuns v1.3.0
[3eaba693] StatsModels v0.7.3
-⌅ [7792a7ef] StrideArraysCore v0.4.17
+ [7792a7ef] StrideArraysCore v0.5.1
[69024149] StringEncodings v0.3.7
[892a3eda] StringManipulation v0.3.4
[09ab397b] StructArrays v0.6.16
@@ -545,7 +648,7 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[5c2747f8] URIs v1.5.1
[3a884ed6] UnPack v1.0.2
[1cfade01] UnicodeFun v0.4.1
- [1986cc42] Unitful v1.17.0
+ [1986cc42] Unitful v1.18.0
[45397f5d] UnitfulLatexify v1.6.3
[a7c27f48] Unityper v0.1.5
[41fe7b60] Unzip v0.2.0
@@ -692,9 +795,9 @@ Status `~/.julia/dev/ProbNumDiffEq/benchmarks/Manifest.toml`
[8e850b90] libblastrampoline_jll v5.8.0+0
[8e850ede] nghttp2_jll v1.48.0+0
[3f19e933] p7zip_jll v17.4.0+0
-Info Packages marked with ⌃ and ⌅ have new versions available, but those wi
-th ⌅ are restricted by compatibility constraints from upgrading. To see why
- use `status --outdated -m`
+Info Packages marked with ⌅ have new versions available but compatibility c
+onstraints restrict them from upgrading. To see why use `status --outdated
+-m`
```